id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
1,802.0766 | Cosmological screening and the phantom braneworld model | The scalar and vector cosmological perturbations at all length scales of our
Universe are studied in the framework of the phantom braneworld model. The
model is characterized by the parameter $\Omega_M\equiv M^3/2m^2H_0$, with $M$
and $m$ the 5- and 4-dimensional Planck scales, respectively, and $H_0$ the
Hubble parameter today, while $\Omega_M\rightarrow 0$ recovers the $\Lambda\rm
CDM$ model. Ignoring the backreaction due to the peculiar velocities and also
the bulk cosmological constant, allows the explicit computation of the
gravitational potentials, $\Phi$ and $\Psi$. They exhibit exponentially
decreasing screening behaviour characterized by a screening length which is a
function of the quasidensity parameter $ \Omega_M$.
| gr-qc astro-ph.CO | the scalar and vector cosmological perturbations at all length scales of our universe are studied in the framework of the phantom braneworld model the model is characterized by the parameter omega_mequiv m32m2h_0 with m and m the 5 and 4dimensional planck scales respectively and h_0 the hubble parameter today while omega_mrightarrow 0 recovers the lambdarm cdm model ignoring the backreaction due to the peculiar velocities and also the bulk cosmological constant allows the explicit computation of the gravitational potentials phi and psi they exhibit exponentially decreasing screening behaviour characterized by a screening length which is a function of the quasidensity parameter omega_m | [['the', 'scalar', 'and', 'vector', 'cosmological', 'perturbations', 'at', 'all', 'length', 'scales', 'of', 'our', 'universe', 'are', 'studied', 'in', 'the', 'framework', 'of', 'the', 'phantom', 'braneworld', 'model', 'the', 'model', 'is', 'characterized', 'by', 'the', 'parameter', 'omega_mequiv', 'm32m2h_0', 'with', 'm', 'and', 'm', 'the', '5', 'and', '4dimensional', 'planck', 'scales', 'respectively', 'and', 'h_0', 'the', 'hubble', 'parameter', 'today', 'while', 'omega_mrightarrow', '0', 'recovers', 'the', 'lambdarm', 'cdm', 'model', 'ignoring', 'the', 'backreaction', 'due', 'to', 'the', 'peculiar', 'velocities', 'and', 'also', 'the', 'bulk', 'cosmological', 'constant', 'allows', 'the', 'explicit', 'computation', 'of', 'the', 'gravitational', 'potentials', 'phi', 'and', 'psi', 'they', 'exhibit', 'exponentially', 'decreasing', 'screening', 'behaviour', 'characterized', 'by', 'a', 'screening', 'length', 'which', 'is', 'a', 'function', 'of', 'the', 'quasidensity', 'parameter', 'omega_m']] | [-0.16765848505828115, 0.19381069008148077, -0.07691261656300137, 0.08248812343802943, -0.08032424909279051, -0.15208746402552634, -0.04541021640849949, 0.27259857339003696, -0.2453225848213252, -0.31511618576078404, 0.03965883907236422, -0.2657757337380617, -0.06788606933938961, 0.16120697544520776, 0.06096163611756779, 0.03492133086076891, -0.02934892987832427, 0.044613217351713565, -0.05615263080548947, -0.27318674348990873, 0.33949723128568043, 0.0928848724050278, 0.2024246019433544, -0.01368476086380807, 0.10136084070410391, -0.06651379616302408, -0.05490501892442504, 0.05833053906833885, -0.23610081990258863, 0.018875526471270457, 0.14094151644023828, 0.09382229432407202, 0.24078180744416183, -0.3250371843242472, -0.24005081459428323, 0.13496486924005427, 0.14964411212978038, 0.11322512735513914, 0.010649982952710354, -0.3023902351187185, 0.08020581516691229, -0.13977407073752598, -0.11301471185552972, -0.023122851553401262, 0.05256345709127308, -0.032417690824138735, -0.2659741821369589, 0.1889767111323167, -0.014329642546598357, -0.034586316346181464, -0.115699147128834, -0.10479717580319355, -0.05124993452266084, 0.041114739264653186, 0.12409811883793222, 0.06863591146674196, 0.15683962239629842, -0.17423944670008495, -0.015059156871325516, 0.4051389413500073, -0.13199959453571625, -0.1792679988412243, 0.11244787658668226, -0.16887636095134897, -0.06582652510736477, 0.08594915265866528, 0.07681648137819286, 0.09722153967095896, -0.06560162787861896, 0.23330141316200936, 0.042992702149080506, 0.2007438691445824, 0.08352478085123378, 0.03144338122578432, 0.2304501710365517, 0.11976270761453744, 0.028579421497227604, 0.05989370686989842, -0.08687809881086302, -0.06499989501040693, -0.3514068244269701, -0.1056871943909562, -0.16737733557561618, 0.039132777975420606, -0.23080474259055483, -0.18030395747322325, 0.3683840748712872, 0.10635558463106251, 0.25192553763315456, 0.1215144550448961, 0.269069258636334, 0.06130804238850345, 0.07328645015991471, 0.08001595376191115, 0.26877809625420007, 0.1258601980622519, 0.09526079801155837, -0.25627342379191004, 0.012413258356220945, 0.025172450250447398] |
1,802.07661 | The energy equality for the Navier-Stokes equations in bounded domains | In this paper, we provide a sufficient condition of the energy equality for
the incompressible Navier-Stokes equations in bounded domains.
| math.AP | in this paper we provide a sufficient condition of the energy equality for the incompressible navierstokes equations in bounded domains | [['in', 'this', 'paper', 'we', 'provide', 'a', 'sufficient', 'condition', 'of', 'the', 'energy', 'equality', 'for', 'the', 'incompressible', 'navierstokes', 'equations', 'in', 'bounded', 'domains']] | [-0.21913565788418055, 0.087574198609218, -0.08209209449123592, 0.06477306635933928, -0.05550548983737826, -0.10507393737789243, -0.05971738660591654, 0.21547940969467164, -0.285269907861948, -0.24579106960445643, 0.14395801929058508, -0.1911327550187707, -0.06496203364804387, 0.14306662161834538, -0.11417714501731098, 0.1455745929852128, 0.10036585312336684, -0.02015845702117076, -0.07945437068119646, -0.24056876776739955, 0.4026667520403862, -0.1005849625915289, 0.24256400037556886, 0.14500501612201333, 0.16923947161994873, -0.10003572766436264, 0.07255593977170065, 0.04919347763061523, -0.3188143057283014, 0.09435518467798829, 0.3101975431665778, 0.07075090259313584, 0.30996977388858793, -0.5186812017112971, -0.18111530877649784, 0.13569679516367614, 0.1482553595677018, 0.08578046401962638, -0.05694781895726919, -0.24055350609123707, 0.12128154368838295, -0.12968068299815058, -0.18298739045858384, -0.026630779821425678, -0.008476524241268634, 0.07932660961523652, -0.3299481090158224, 0.19275881587527693, 0.21312730819918216, 0.11118195704184472, -0.26776918126270177, -0.004224740178324282, 0.038957394752651454, 0.05628803358413279, 0.008305014099460096, -0.028433807054534556, -0.06728328487370164, -0.17160858175484464, 0.004416941199451685, 0.37624135706573725, -0.06033955607563257, -0.3984928376972675, 0.14958831104449927, -0.13624086254276335, -0.11720200274139643, 0.06714094232302159, 0.20552786849439145, 0.15817038805689662, -0.18107040803879498, 0.18114091288298367, -0.11637677941471339, 0.13337935991585254, 0.0936661968473345, -0.028104303404688835, 0.06893665436655283, 0.1572906356304884, 0.19963014624081551, 0.20743838809430598, 0.0011359246913343669, -0.04840365806594491, -0.43995309695601464, -0.23289251141250134, -0.16681248284876346, 0.07080157231539488, -0.07274620893877, -0.18410260304808618, 0.363688771892339, 0.15935943741351366, 0.09978564158082008, 0.09898381303064525, 0.2950713889673352, 0.16192351694626267, -0.08852231826167553, 0.13552396511659026, 0.206331932451576, 0.17750815514009446, 0.23804014446213842, -0.15499478713609277, -0.0017240148270502686, 0.15404078429783113] |
1,802.07662 | Dynamics on abelian varieties in positive characteristic | We study periodic points for endomorphisms $\sigma$ of abelian varieties $A$
over algebraically closed fields of positive characteristic $p$. We show that
the dynamical zeta function $\zeta_\sigma$ of $\sigma$ is either rational or
transcendental, the first case happening precisely when $\sigma^n-1$ is a
separable isogeny for all $n$. We call this condition very inseparability and
show it is equivalent to the action of $\sigma$ on the local $p$-torsion group
scheme being nilpotent.
The "false" zeta function $D_\sigma$, in which the number of fixed points of
$\sigma^n$ is replaced by the degree of $\sigma^n-1$, is always a rational
function. Let $1/\Lambda$ denote its largest real pole and assume no other pole
or zero has the same absolute value. Then, using a general dichotomy result for
power series proven by Royals and Ward in the appendix, we find that
$\zeta_\sigma(z)$ has a natural boundary at $|z|=1/\Lambda$ when $\sigma$ is
not very inseparable.
We introduce and study tame dynamics, ignoring orbits whose order is
divisible by $p$. We construct a tame zeta function $\zeta^*_{\sigma}$ that is
always algebraic, and such that $\zeta_\sigma$ factors into an infinite product
of tame zeta functions. We briefly discuss functional equations.
Finally, we study the length distribution of orbits and tame orbits. Orbits
of very inseparable endomorphisms distribute like those of Axiom A systems with
entropy $\log \Lambda$, but the orbit length distribution of not very
inseparable endomorphisms is more erratic and similar to $S$-integer dynamical
systems. We provide an expression for the prime orbit counting function in
which the error term displays a power saving depending on the largest real part
of a zero of $D_\sigma(\Lambda^{-s})$.
| math.NT math.AG math.DS | we study periodic points for endomorphisms sigma of abelian varieties a over algebraically closed fields of positive characteristic p we show that the dynamical zeta function zeta_sigma of sigma is either rational or transcendental the first case happening precisely when sigman1 is a separable isogeny for all n we call this condition very inseparability and show it is equivalent to the action of sigma on the local ptorsion group scheme being nilpotent the false zeta function d_sigma in which the number of fixed points of sigman is replaced by the degree of sigman1 is always a rational function let 1lambda denote its largest real pole and assume no other pole or zero has the same absolute value then using a general dichotomy result for power series proven by royals and ward in the appendix we find that zeta_sigmaz has a natural boundary at z1lambda when sigma is not very inseparable we introduce and study tame dynamics ignoring orbits whose order is divisible by p we construct a tame zeta function zeta_sigma that is always algebraic and such that zeta_sigma factors into an infinite product of tame zeta functions we briefly discuss functional equations finally we study the length distribution of orbits and tame orbits orbits of very inseparable endomorphisms distribute like those of axiom a systems with entropy log lambda but the orbit length distribution of not very inseparable endomorphisms is more erratic and similar to sinteger dynamical systems we provide an expression for the prime orbit counting function in which the error term displays a power saving depending on the largest real part of a zero of d_sigmalambdas | [['we', 'study', 'periodic', 'points', 'for', 'endomorphisms', 'sigma', 'of', 'abelian', 'varieties', 'a', 'over', 'algebraically', 'closed', 'fields', 'of', 'positive', 'characteristic', 'p', 'we', 'show', 'that', 'the', 'dynamical', 'zeta', 'function', 'zeta_sigma', 'of', 'sigma', 'is', 'either', 'rational', 'or', 'transcendental', 'the', 'first', 'case', 'happening', 'precisely', 'when', 'sigman1', 'is', 'a', 'separable', 'isogeny', 'for', 'all', 'n', 'we', 'call', 'this', 'condition', 'very', 'inseparability', 'and', 'show', 'it', 'is', 'equivalent', 'to', 'the', 'action', 'of', 'sigma', 'on', 'the', 'local', 'ptorsion', 'group', 'scheme', 'being', 'nilpotent', 'the', 'false', 'zeta', 'function', 'd_sigma', 'in', 'which', 'the', 'number', 'of', 'fixed', 'points', 'of', 'sigman', 'is', 'replaced', 'by', 'the', 'degree', 'of', 'sigman1', 'is', 'always', 'a', 'rational', 'function', 'let', '1lambda', 'denote', 'its', 'largest', 'real', 'pole', 'and', 'assume', 'no', 'other', 'pole', 'or', 'zero', 'has', 'the', 'same', 'absolute', 'value', 'then', 'using', 'a', 'general', 'dichotomy', 'result', 'for', 'power', 'series', 'proven', 'by', 'royals', 'and', 'ward', 'in', 'the', 'appendix', 'we', 'find', 'that', 'zeta_sigmaz', 'has', 'a', 'natural', 'boundary', 'at', 'z1lambda', 'when', 'sigma', 'is', 'not', 'very', 'inseparable', 'we', 'introduce', 'and', 'study', 'tame', 'dynamics', 'ignoring', 'orbits', 'whose', 'order', 'is', 'divisible', 'by', 'p', 'we', 'construct', 'a', 'tame', 'zeta', 'function', 'zeta_sigma', 'that', 'is', 'always', 'algebraic', 'and', 'such', 'that', 'zeta_sigma', 'factors', 'into', 'an', 'infinite', 'product', 'of', 'tame', 'zeta', 'functions', 'we', 'briefly', 'discuss', 'functional', 'equations', 'finally', 'we', 'study', 'the', 'length', 'distribution', 'of', 'orbits', 'and', 'tame', 'orbits', 'orbits', 'of', 'very', 'inseparable', 'endomorphisms', 'distribute', 'like', 'those', 'of', 'axiom', 'a', 'systems', 'with', 'entropy', 'log', 'lambda', 'but', 'the', 'orbit', 'length', 'distribution', 'of', 'not', 'very', 'inseparable', 'endomorphisms', 'is', 'more', 'erratic', 'and', 'similar', 'to', 'sinteger', 'dynamical', 'systems', 'we', 'provide', 'an', 'expression', 'for', 'the', 'prime', 'orbit', 'counting', 'function', 'in', 'which', 'the', 'error', 'term', 'displays', 'a', 'power', 'saving', 'depending', 'on', 'the', 'largest', 'real', 'part', 'of', 'a', 'zero', 'of', 'd_sigmalambdas']] | [-0.21886695264618986, 0.11681087112750524, -0.1384130135037989, 0.09969605013446987, -0.07214105259627104, -0.15523360213528406, 0.014523313332015191, 0.313791747830527, -0.29413291894180593, -0.20004523515103842, 0.07121798240465446, -0.267906896219993, -0.15566759349795867, 0.20408918278924418, -0.08202050320083662, -0.010791204857117197, 0.021826591588697344, 0.13235120146089444, -0.06738874713960542, -0.2801741111452498, 0.39232983995615595, -0.029722290926279045, 0.16764570561606648, 0.03734983431904594, 0.11279574983032807, 0.03085537406726837, 0.0031143000610787774, 0.011575531630934971, -0.14044625163308944, 0.06364649483024687, 0.2502681755928656, 0.09310061939166121, 0.25265045292534916, -0.33370437386252405, -0.14770775924278598, 0.21513625510599255, 0.14629719139357925, 0.01055441703208072, 0.014008569861114253, -0.22172480044833753, 0.14877972908423476, -0.17426151972629772, -0.18291325718515886, -0.06777643362095334, 0.11282700463285986, 0.023113998567755773, -0.2757465031507583, 0.03509683712157157, 0.0805389638227973, 0.15399656780064105, -0.061429081756164725, -0.12295402859294796, -0.027432768630250445, 0.08479041699254182, 0.04864332115910244, 0.05882288758985628, 0.09921347334770099, -0.10367201316556982, -0.07310017165815774, 0.3662326163594734, -0.0752049086938331, -0.21869483235256992, 0.13975164213455019, -0.20270342372955297, -0.12782178161279212, 0.13781402761222056, 0.10135126883374913, 0.1506023582220429, -0.054391591225087396, 0.16434511528196658, -0.0924584075228645, 0.15526511144850685, 0.0961058785963171, -0.0005839286962928215, 0.16126806369789368, 0.06517900029583922, 0.09774300037786575, 0.13024826670298353, -0.005093184251443676, -0.04123173604350326, -0.33963843202042693, -0.15822011623289964, -0.15088316456827705, 0.12913401691025597, -0.0891022418200078, -0.20364018598009112, 0.3801584197344881, 0.06728824672930575, 0.19139626430488138, 0.12183081701415469, 0.24527650897760156, 0.15492683879345795, 0.05974918145001075, 0.08544989180979583, 0.11704202238382455, 0.14028797280043365, -0.03596041509925546, -0.17521108129536206, 0.030357776016418665, 0.1211609564247137] |
1,802.07663 | Heisenberg-Pauli-Weyl and Donoho-Stark's uncertainty principle for the
Weinstein $L^2$-multiplier operators | The aim of this paper is establish the Heisenberg-Pauli-Weyl uncertainty
principle and Donho-Stark's uncertainty principle for the Weinstein
$L^2$-multiplier operators.
| math.CA math.AP | the aim of this paper is establish the heisenbergpauliweyl uncertainty principle and donhostarks uncertainty principle for the weinstein l2multiplier operators | [['the', 'aim', 'of', 'this', 'paper', 'is', 'establish', 'the', 'heisenbergpauliweyl', 'uncertainty', 'principle', 'and', 'donhostarks', 'uncertainty', 'principle', 'for', 'the', 'weinstein', 'l2multiplier', 'operators']] | [-0.12874822318553925, 0.03649523160937759, -0.09854408591571781, 0.18074110129641163, -0.10256570402998477, -0.02702941248814265, 0.11254603628508954, 0.24947384537922013, -0.32924920361902976, -0.31995294657018447, 0.12986005459808642, -0.20678668800327513, -0.09882682644658619, 0.1613776383197142, -0.20513188932090998, 0.11029456266098553, 0.12228877883818415, 0.03010542732146051, -0.05920741112074918, -0.1537954355072644, 0.44771398189995026, 0.033776151637236275, 0.2907362180865473, 0.1562739931460884, 0.15799515823730165, 0.039460299976377025, -0.021507241970135108, -0.028980632312595844, -0.1836760648422771, 0.33240133549811113, 0.28583726266192067, 0.1044532601825065, 0.30729613207384116, -0.35215757921752, -0.19915945201905239, 0.16547172573498553, -0.004413480663465129, 0.08435591993232568, 0.09245427920379573, -0.3188253450724814, 0.019369293935596943, -0.1618554132680098, -0.21604274844543803, -0.0176473766979244, -0.01955229923543003, -0.02857268260171016, -0.28584569361474776, 0.13861365391251942, 0.18798554657648006, 0.044658285876115165, -0.04821095455230938, -0.039968230140705906, 0.07056346981941412, 0.09776687927337156, 0.06388807352373584, 0.008970980868778296, 0.035050847878058754, 0.06617183808702976, -0.1419796845358279, 0.37580255791544914, 0.0030082792250646483, -0.21448486919204393, 0.054471990610990256, -0.0973357615681986, -0.2088817771938112, -0.04262458235542807, 0.1459905011061993, 0.12014222393433253, -0.28292150759241647, 0.1430283747063691, -0.0276005114428699, 0.08946880491243468, 0.03859975318320923, 0.03914933568901486, 0.10333672455615467, 0.16744485978658, 0.1772261177086168, 0.11805901324583425, -0.058833526033494205, -0.03776563579837481, -0.40633510301510495, -0.24139147862378094, -0.13566688831067747, 0.050568203597019114, -0.10116281339610901, -0.03369054777754678, 0.29244730807840824, 0.1833206947065062, 0.07609811880522305, 0.18158477120515373, 0.23614177252683374, 0.16257323428160614, -0.02765739926447471, 0.029302155469647713, 0.31976706420795786, 0.24309696298506525, 0.10810749889868829, -0.19128194438397056, 0.0817074646604144, 0.15519029585023722] |
1,802.07664 | Robustness of flow networks against cascading failures under partial
load redistribution | We study the robustness of flow networks against cascading failures under a
partial load redistribution model. In particular, we consider a flow network of
$N$ lines with initial loads $L_1, \ldots, L_N$ and free-spaces (i.e.,
redundant space) $S_1, \ldots, S_N$ that are independent and identically
distributed with joint distribution $P_{LS}(x,y)=\mathbb{P}(L \leq x, S \leq
y)$. The capacity $C_i$ is the maximum load allowed on line $i$, and is given
by $C_i=L_i + S_i$. When a line fails due to overloading, it is removed from
the system and $(1-\varepsilon)$-fraction of the load it was carrying (at the
moment of failing) gets redistributed equally among all remaining lines in the
system; hence we refer to this as the {\it partial} load redistribution model.
The rest (i.e., $\varepsilon$-fraction) of the load is assumed to be lost or
absorbed, e.g., due to advanced circuitry disconnecting overloaded power lines
or an inter-connected network/material absorbing a fraction of the flow from
overloaded lines. We analyze the robustness of this flow network against random
attacks that remove a $p$-fraction of the lines. Our contributions include (i)
deriving the final fraction of alive lines $n_{\infty}(p,\varepsilon)$ for all
$p, \varepsilon \in (0,1)$ and confirming the results via extensive
simulations; (ii) showing that partial redistribution might lead to (depending
on the parameter $0<\varepsilon \leq 1$) the order of transition at the
critical attack size $p^{*}$ changing from first to second-order; and (iii)
proving analytically that flow networks achieve maximum robustness (quantified
by the area $\int_{0}^{1} n_{\infty}(p,\varepsilon) \mathrm{d}p$) when all
lines have the same free-space regardless of their initial load. The optimality
of equal free-space allocation is also confirmed on real-world data from the UK
National Power Grid.
| physics.soc-ph | we study the robustness of flow networks against cascading failures under a partial load redistribution model in particular we consider a flow network of n lines with initial loads l_1 ldots l_n and freespaces ie redundant space s_1 ldots s_n that are independent and identically distributed with joint distribution p_lsxymathbbpl leq x s leq y the capacity c_i is the maximum load allowed on line i and is given by c_il_i s_i when a line fails due to overloading it is removed from the system and 1varepsilonfraction of the load it was carrying at the moment of failing gets redistributed equally among all remaining lines in the system hence we refer to this as the it partial load redistribution model the rest ie varepsilonfraction of the load is assumed to be lost or absorbed eg due to advanced circuitry disconnecting overloaded power lines or an interconnected networkmaterial absorbing a fraction of the flow from overloaded lines we analyze the robustness of this flow network against random attacks that remove a pfraction of the lines our contributions include i deriving the final fraction of alive lines n_inftypvarepsilon for all p varepsilon in 01 and confirming the results via extensive simulations ii showing that partial redistribution might lead to depending on the parameter 0varepsilon leq 1 the order of transition at the critical attack size p changing from first to secondorder and iii proving analytically that flow networks achieve maximum robustness quantified by the area int_01 n_inftypvarepsilon mathrmdp when all lines have the same freespace regardless of their initial load the optimality of equal freespace allocation is also confirmed on realworld data from the uk national power grid | [['we', 'study', 'the', 'robustness', 'of', 'flow', 'networks', 'against', 'cascading', 'failures', 'under', 'a', 'partial', 'load', 'redistribution', 'model', 'in', 'particular', 'we', 'consider', 'a', 'flow', 'network', 'of', 'n', 'lines', 'with', 'initial', 'loads', 'l_1', 'ldots', 'l_n', 'and', 'freespaces', 'ie', 'redundant', 'space', 's_1', 'ldots', 's_n', 'that', 'are', 'independent', 'and', 'identically', 'distributed', 'with', 'joint', 'distribution', 'p_lsxymathbbpl', 'leq', 'x', 's', 'leq', 'y', 'the', 'capacity', 'c_i', 'is', 'the', 'maximum', 'load', 'allowed', 'on', 'line', 'i', 'and', 'is', 'given', 'by', 'c_il_i', 's_i', 'when', 'a', 'line', 'fails', 'due', 'to', 'overloading', 'it', 'is', 'removed', 'from', 'the', 'system', 'and', '1varepsilonfraction', 'of', 'the', 'load', 'it', 'was', 'carrying', 'at', 'the', 'moment', 'of', 'failing', 'gets', 'redistributed', 'equally', 'among', 'all', 'remaining', 'lines', 'in', 'the', 'system', 'hence', 'we', 'refer', 'to', 'this', 'as', 'the', 'it', 'partial', 'load', 'redistribution', 'model', 'the', 'rest', 'ie', 'varepsilonfraction', 'of', 'the', 'load', 'is', 'assumed', 'to', 'be', 'lost', 'or', 'absorbed', 'eg', 'due', 'to', 'advanced', 'circuitry', 'disconnecting', 'overloaded', 'power', 'lines', 'or', 'an', 'interconnected', 'networkmaterial', 'absorbing', 'a', 'fraction', 'of', 'the', 'flow', 'from', 'overloaded', 'lines', 'we', 'analyze', 'the', 'robustness', 'of', 'this', 'flow', 'network', 'against', 'random', 'attacks', 'that', 'remove', 'a', 'pfraction', 'of', 'the', 'lines', 'our', 'contributions', 'include', 'i', 'deriving', 'the', 'final', 'fraction', 'of', 'alive', 'lines', 'n_inftypvarepsilon', 'for', 'all', 'p', 'varepsilon', 'in', '01', 'and', 'confirming', 'the', 'results', 'via', 'extensive', 'simulations', 'ii', 'showing', 'that', 'partial', 'redistribution', 'might', 'lead', 'to', 'depending', 'on', 'the', 'parameter', '0varepsilon', 'leq', '1', 'the', 'order', 'of', 'transition', 'at', 'the', 'critical', 'attack', 'size', 'p', 'changing', 'from', 'first', 'to', 'secondorder', 'and', 'iii', 'proving', 'analytically', 'that', 'flow', 'networks', 'achieve', 'maximum', 'robustness', 'quantified', 'by', 'the', 'area', 'int_01', 'n_inftypvarepsilon', 'mathrmdp', 'when', 'all', 'lines', 'have', 'the', 'same', 'freespace', 'regardless', 'of', 'their', 'initial', 'load', 'the', 'optimality', 'of', 'equal', 'freespace', 'allocation', 'is', 'also', 'confirmed', 'on', 'realworld', 'data', 'from', 'the', 'uk', 'national', 'power', 'grid']] | [-0.1720162265705547, 0.11902261584644253, 0.0023909328768521435, -0.010216520684182672, -0.014291249277921858, -0.18493546122601984, 0.10037429916320133, 0.3638293685349999, -0.26611888779805054, -0.2721201785525037, 0.10769040120867701, -0.3199232720426322, -0.06824962640411418, 0.12762614574259992, -0.07411416220914946, 0.03718742696900738, 0.032324199719254106, 0.03542743819604756, -0.012597520202121328, -0.25402417472134375, 0.31197301674500927, 0.04460841347831284, 0.29356956823995567, 0.04226737503515432, 0.05670313555600129, -0.014475704764524911, -0.01997604500588902, 0.03243596029463986, -0.10780259570486404, 0.0704776955539963, 0.2229292500819526, 0.15523907958919275, 0.27852174116590245, -0.41152876784477976, -0.20076955148740758, 0.14672187347827154, 0.14198624184129016, 0.041259865809689, 0.04699999515614628, -0.23663911343808372, 0.12491418638799309, -0.15248558049171188, -0.11155413492274606, -0.022140234147049624, 0.05420540238048563, 0.06502872405636044, -0.2978193284147402, 0.046044202395831665, 0.07461945808987691, 0.06854010917628045, -0.016288858205884986, -0.13512390682068706, -0.08862826228812579, 0.14234936180620603, 0.046882580367708815, 0.003935319748464764, 0.13145983275926246, -0.10975651807397549, -0.04043469182561848, 0.3876437349348817, -0.01954345898417112, -0.17340718054918425, 0.12269547443965027, -0.10823597936271291, -0.12259863193759687, 0.15927814359198494, 0.17916094214726, 0.10718954499210681, -0.08813642099775378, 0.039865917417560064, -0.027362547936021837, 0.17068362604051163, 0.08451691130176187, -0.003208088955139139, 0.17560872044691256, 0.09650861294715073, 0.11041666112137356, 0.14905452577948577, -0.10450459281450006, -0.07529803905739937, -0.3156546594014177, -0.10918695510790916, -0.19037643150767472, 0.08738617431441648, -0.09919648124710016, -0.10614273180755818, 0.33934265498909755, 0.14347762845977657, 0.22440206974696758, 0.06620070155473906, 0.31308421228240246, 0.11470607699407438, 0.04083907740020979, 0.1462454202854971, 0.16990813989058953, 0.10272307495273249, 0.10508096514557069, -0.23465832936677902, 0.11110316490976063, 0.012069205678203125] |
1,802.07665 | Distributed Hypothesis Testing Over Discrete Memoryless Channels | A distributed binary hypothesis testing (HT) problem involving two parties,
one referred to as the observer and the other as the detector is studied. The
observer observes a discrete memoryless source (DMS) and communicates its
observations to the detector over a discrete memoryless channel (DMC). The
detector observes another DMS correlated with that at the observer, and
performs a binary HT on the joint distribution of the two DMS's using its own
observed data and the information received from the observer. The trade-off
between the type I error probability and the type II error-exponent of the HT
is explored. Single-letter lower bounds on the optimal type II error-exponent
are obtained by using two different coding schemes, a separate HT and channel
coding scheme and a joint HT and channel coding scheme based on hybrid coding
for the matched bandwidth case. Exact single-letter characterization of the
same is established for the special case of testing against conditional
independence, and it is shown to be achieved by the separate HT and channel
coding scheme. An example is provided where the joint scheme achieves a
strictly better performance than the separation based scheme.
| cs.IT math.IT | a distributed binary hypothesis testing ht problem involving two parties one referred to as the observer and the other as the detector is studied the observer observes a discrete memoryless source dms and communicates its observations to the detector over a discrete memoryless channel dmc the detector observes another dms correlated with that at the observer and performs a binary ht on the joint distribution of the two dmss using its own observed data and the information received from the observer the tradeoff between the type i error probability and the type ii errorexponent of the ht is explored singleletter lower bounds on the optimal type ii errorexponent are obtained by using two different coding schemes a separate ht and channel coding scheme and a joint ht and channel coding scheme based on hybrid coding for the matched bandwidth case exact singleletter characterization of the same is established for the special case of testing against conditional independence and it is shown to be achieved by the separate ht and channel coding scheme an example is provided where the joint scheme achieves a strictly better performance than the separation based scheme | [['a', 'distributed', 'binary', 'hypothesis', 'testing', 'ht', 'problem', 'involving', 'two', 'parties', 'one', 'referred', 'to', 'as', 'the', 'observer', 'and', 'the', 'other', 'as', 'the', 'detector', 'is', 'studied', 'the', 'observer', 'observes', 'a', 'discrete', 'memoryless', 'source', 'dms', 'and', 'communicates', 'its', 'observations', 'to', 'the', 'detector', 'over', 'a', 'discrete', 'memoryless', 'channel', 'dmc', 'the', 'detector', 'observes', 'another', 'dms', 'correlated', 'with', 'that', 'at', 'the', 'observer', 'and', 'performs', 'a', 'binary', 'ht', 'on', 'the', 'joint', 'distribution', 'of', 'the', 'two', 'dmss', 'using', 'its', 'own', 'observed', 'data', 'and', 'the', 'information', 'received', 'from', 'the', 'observer', 'the', 'tradeoff', 'between', 'the', 'type', 'i', 'error', 'probability', 'and', 'the', 'type', 'ii', 'errorexponent', 'of', 'the', 'ht', 'is', 'explored', 'singleletter', 'lower', 'bounds', 'on', 'the', 'optimal', 'type', 'ii', 'errorexponent', 'are', 'obtained', 'by', 'using', 'two', 'different', 'coding', 'schemes', 'a', 'separate', 'ht', 'and', 'channel', 'coding', 'scheme', 'and', 'a', 'joint', 'ht', 'and', 'channel', 'coding', 'scheme', 'based', 'on', 'hybrid', 'coding', 'for', 'the', 'matched', 'bandwidth', 'case', 'exact', 'singleletter', 'characterization', 'of', 'the', 'same', 'is', 'established', 'for', 'the', 'special', 'case', 'of', 'testing', 'against', 'conditional', 'independence', 'and', 'it', 'is', 'shown', 'to', 'be', 'achieved', 'by', 'the', 'separate', 'ht', 'and', 'channel', 'coding', 'scheme', 'an', 'example', 'is', 'provided', 'where', 'the', 'joint', 'scheme', 'achieves', 'a', 'strictly', 'better', 'performance', 'than', 'the', 'separation', 'based', 'scheme']] | [-0.15554282854396947, 0.03624485319696281, -0.09741917554240086, 0.07140022173882339, -0.04346971203278946, -0.2679157067222006, 0.10969269140163976, 0.38499547284292546, -0.26759603825446804, -0.2638142562765432, 0.13004398102087802, -0.23922938599961957, -0.08705451374285315, 0.20763950849098986, -0.07201294123538231, 0.07563051708765622, 0.01963898813302972, 0.1033491959501254, -0.08255855679683584, -0.23093935809539337, 0.2869741960483799, 0.10871009532068121, 0.3383311542951943, -0.0493540977372935, 0.14490868355649963, 0.04634926443380353, -0.05967656358047144, -0.02185089067604981, -0.0927321039681326, 0.07513172087737506, 0.2467521177433235, 0.1762721056045082, 0.2313441383456321, -0.32808651345242795, -0.23148332587198206, 0.06951189047509902, 0.11437321203074564, 0.07122192672502838, -0.0629629592356076, -0.32167073656241163, 0.07565886348387912, -0.18252911923551246, -0.006543504358514359, 0.05958157227570681, -0.051878863646599806, 0.02749695674651057, -0.3575413030621253, 0.05732564120063264, 0.06258846018463374, 0.0036640182652167585, -0.04710567825424828, -0.131576428395745, 0.030309128675511793, 0.14847177021744612, 0.013765439032086808, 0.05068612405969026, 0.0755601748088865, -0.06407071239817397, -0.12667941550086986, 0.32701568618465804, -0.03689656291734488, -0.21040476216370926, 0.17044349943508247, -0.09782685817366368, -0.09120288510120621, 0.13934430167949025, 0.16073719301800193, 0.10284228780257859, -0.1579420033523715, 0.06194325874645361, -0.023216456086619906, 0.18677483560321362, 0.054048315597403994, 0.10391964412686464, 0.12727436186059526, 0.14656566672615315, 0.06588252847524066, 0.1827065546234065, -0.1541422848663244, -0.1327791885815953, -0.29279741620840993, -0.1439050721076599, -0.24300432057659094, -0.034544679090858586, -0.10945908358047937, -0.09607338999431751, 0.355340025433945, 0.07403555802608791, 0.14200886661235831, 0.08364285796169976, 0.32799715852659, 0.07753305526474785, -0.002201221027950707, 0.1287431973816925, 0.22079243872706827, 0.13666210195515305, 0.06708964808127156, -0.20233480273133242, 0.12434095853547517, 0.04301004465424309] |
1,802.07666 | Classical large deviations theorems on complete Riemannian manifolds | We generalize classical large deviations theorems to the setting of complete
Riemannian manifolds. We prove the analogue of Mogulskii's theorem for geodesic
random walks via a general approach using visocity solutions for
Hamilton-Jacobi equations. As a corollary, we also obtain the analogue of
Cram\'er's theorem. The approach also provides a new proof of Schilder's
theorem. Additionally, we provide a proof of Schilder's theorem by using an
embedding into Euclidean space, together with Freidlin-Wentzell theory.
| math.PR math-ph math.DG math.MP | we generalize classical large deviations theorems to the setting of complete riemannian manifolds we prove the analogue of mogulskiis theorem for geodesic random walks via a general approach using visocity solutions for hamiltonjacobi equations as a corollary we also obtain the analogue of cramers theorem the approach also provides a new proof of schilders theorem additionally we provide a proof of schilders theorem by using an embedding into euclidean space together with freidlinwentzell theory | [['we', 'generalize', 'classical', 'large', 'deviations', 'theorems', 'to', 'the', 'setting', 'of', 'complete', 'riemannian', 'manifolds', 'we', 'prove', 'the', 'analogue', 'of', 'mogulskiis', 'theorem', 'for', 'geodesic', 'random', 'walks', 'via', 'a', 'general', 'approach', 'using', 'visocity', 'solutions', 'for', 'hamiltonjacobi', 'equations', 'as', 'a', 'corollary', 'we', 'also', 'obtain', 'the', 'analogue', 'of', 'cramers', 'theorem', 'the', 'approach', 'also', 'provides', 'a', 'new', 'proof', 'of', 'schilders', 'theorem', 'additionally', 'we', 'provide', 'a', 'proof', 'of', 'schilders', 'theorem', 'by', 'using', 'an', 'embedding', 'into', 'euclidean', 'space', 'together', 'with', 'freidlinwentzell', 'theory']] | [-0.0764570431052042, 0.017905089879682885, -0.21633797574655286, 0.13702402745506592, -0.10658951642523919, -0.135181981750897, 0.08663593170598947, 0.2471690872684121, -0.26434662214347293, -0.2296826124191284, 0.108615389341555, -0.2540730655592467, -0.1969413999335042, 0.26460992657313387, -0.16038583003516707, 0.020738018889512336, 0.09417452148294875, 0.018482389358021985, -0.094730765291024, -0.2043350578335646, 0.3654254404096199, -0.06674374180230579, 0.22725836081164225, 0.10231871069741569, 0.1740635529692684, 0.10646245523488947, -0.02184514468535781, 0.043442666902722395, -0.2142660731183631, 0.15651387854346208, 0.23211810888855586, 0.10772325480689428, 0.25671290909605365, -0.4002616967473711, -0.17083134768264635, 0.14445487683905023, 0.09870854840015195, 0.15945303305052222, -0.049926429348332545, -0.3265945194022996, 0.10656170922863696, -0.11148488224217934, -0.264976792496496, -0.12832739178889563, -0.0271762858277985, 0.009590926713177137, -0.2655796541167157, 0.08722616578369136, 0.21859652622203743, 0.062261666863092355, -0.10035188434911625, -0.04368584433936381, 0.057286774693056944, 0.04824007418272751, 0.02441000987975193, 0.025957004173791834, 0.04779385386833123, 0.01539372317492962, -0.20416259820173893, 0.34880317614546846, -0.13278394835069776, -0.26347705721855164, 0.09495998845834817, -0.05813796752398567, -0.20553024045324753, 0.050995140416281566, 0.1739459346248103, 0.19398037280355182, -0.13855633419007063, 0.16737647133746317, -0.13216556112415023, 0.0532541782196079, 0.10342448796810848, 0.05622631649104213, 0.09060302895626851, 0.12401566871974085, 0.14974570998123715, 0.2124714557081461, 0.001788302424496838, -0.12592444753806506, -0.3689915221816461, -0.22094259969890118, -0.1863559206548546, 0.18752387817949057, -0.20121273562046035, -0.2011538822736059, 0.30248309653917593, 0.09886423998894835, 0.13764935409916298, 0.22393484685037818, 0.2529024238032954, 0.14024368697012377, 0.0031079957128635474, 0.06483314872852393, 0.17661847775535924, 0.2696747747948393, 0.07818304608309908, -0.030002314836851188, -0.07013095934276602, 0.27738015788075115] |
1,802.07667 | On higher-dimensional Courant algebroids | We define the transgression functor which associates to a
(higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the
shifted tangent bundle of the manifold.
| math.QA math.DG math.SG | we define the transgression functor which associates to a higherdimensional courant algebroid on a manifold a lie algebroid on the shifted tangent bundle of the manifold | [['we', 'define', 'the', 'transgression', 'functor', 'which', 'associates', 'to', 'a', 'higherdimensional', 'courant', 'algebroid', 'on', 'a', 'manifold', 'a', 'lie', 'algebroid', 'on', 'the', 'shifted', 'tangent', 'bundle', 'of', 'the', 'manifold']] | [-0.2882527676052772, -0.08245741543718256, -0.10500606536292113, 0.14345763922812274, -0.3622315046735681, -0.16605109250387892, 0.005877955745045955, 0.389378065816485, -0.4081810758664058, -0.14855077454390433, 0.016424475972039197, -0.16601427281141065, -0.2484716999416168, 0.11494313868192527, -0.26483334224814403, -0.13426749050044096, 0.08101425733184442, 0.2530793013910835, -0.20360666921792123, -0.1125935152074537, 0.6484230389961829, 0.03682200689441883, 0.27080578772494424, -0.005564543239485759, 0.25643171914494955, -0.10966659417877403, 0.09093360495395385, -0.09033848510052149, -0.10972239582154614, 0.14611929809101498, 0.2934222606798777, -0.03246071913207953, 0.16023762674572375, -0.3439600159629033, -0.08540990912856963, 0.1471568442021425, 0.09938267059624195, -0.08008523355685891, 0.04975475925199974, -0.4148517921566963, -0.01300417073071003, -0.17295262654526875, -0.10129003878682852, -0.09019815665669739, 0.016998123126820877, -0.12170936919462222, -0.13922426231706944, -0.14763147957049882, 0.10190920187876774, 0.13760126192265978, -0.12743847638082045, -0.029745538002596453, -0.23633033542249066, -0.0733118061370288, -0.08902625617786096, 0.15053024961469838, 0.24024155015985554, 0.029634245599691685, -0.12787049582514626, 0.40537693294195026, -0.1102027827515625, -0.3544725446531979, 0.008788741551912747, -0.09887349951224259, -0.23637843031722766, 0.16307522270541924, 0.05811797927778501, 0.20074369815679696, 0.0667250957340002, 0.20912825366338858, -0.12179283941021332, -0.0747428063589793, 0.12312651995139626, -0.1158393774754726, 0.15040036803111434, 0.1667757203372625, 0.13142970379871818, 0.054464052216364786, -0.01704735475449035, -0.11881822670021883, -0.40595918922470164, -0.3391016483880006, -0.04316149680660321, 0.2661368486005813, -0.12707636240296638, -0.20784942347269791, 0.4509217945428995, 0.061750709992618516, 0.3057295105491693, 0.20062996175301334, 0.1697617024451924, 0.07480739737645938, 0.14525788452906105, -0.007602635054634168, 0.1444642078668739, 0.33928435969238097, 0.03610452332605536, -0.030751526749764498, -0.23075166937465277, 0.3213987732664324] |
1,802.07668 | A model for system uncertainty in reinforcement learning | This work provides a rigorous framework for studying continuous time control
problems in uncertain environments. The framework considered models uncertainty
in state dynamics as a measure on the space of functions. This measure is
considered to change over time as agents learn their environment. This model
can be seem as a variant of either Bayesian reinforcement learning or adaptive
control. We study necessary conditions for locally optimal trajectories within
this model, in particular deriving an appropriate dynamic programming principle
and Hamilton-Jacobi equations. This model provides one possible framework for
studying the tradeoff between exploration and exploitation in reinforcement
learning.
| math.OC | this work provides a rigorous framework for studying continuous time control problems in uncertain environments the framework considered models uncertainty in state dynamics as a measure on the space of functions this measure is considered to change over time as agents learn their environment this model can be seem as a variant of either bayesian reinforcement learning or adaptive control we study necessary conditions for locally optimal trajectories within this model in particular deriving an appropriate dynamic programming principle and hamiltonjacobi equations this model provides one possible framework for studying the tradeoff between exploration and exploitation in reinforcement learning | [['this', 'work', 'provides', 'a', 'rigorous', 'framework', 'for', 'studying', 'continuous', 'time', 'control', 'problems', 'in', 'uncertain', 'environments', 'the', 'framework', 'considered', 'models', 'uncertainty', 'in', 'state', 'dynamics', 'as', 'a', 'measure', 'on', 'the', 'space', 'of', 'functions', 'this', 'measure', 'is', 'considered', 'to', 'change', 'over', 'time', 'as', 'agents', 'learn', 'their', 'environment', 'this', 'model', 'can', 'be', 'seem', 'as', 'a', 'variant', 'of', 'either', 'bayesian', 'reinforcement', 'learning', 'or', 'adaptive', 'control', 'we', 'study', 'necessary', 'conditions', 'for', 'locally', 'optimal', 'trajectories', 'within', 'this', 'model', 'in', 'particular', 'deriving', 'an', 'appropriate', 'dynamic', 'programming', 'principle', 'and', 'hamiltonjacobi', 'equations', 'this', 'model', 'provides', 'one', 'possible', 'framework', 'for', 'studying', 'the', 'tradeoff', 'between', 'exploration', 'and', 'exploitation', 'in', 'reinforcement', 'learning']] | [-0.08925257204570855, 0.04372927485956373, -0.13511912510589216, 0.10302417497080045, -0.09511274379452295, -0.16579655562104148, 0.0779431482019712, 0.41330796258166586, -0.3302999948189039, -0.33066459129931347, 0.09740198078104342, -0.1621988725594499, -0.16124118759409722, 0.1729643356732347, -0.1033257093078297, 0.07566407089582597, 0.037768708081031686, -0.006193445289902615, -0.05906143016946229, -0.18367524223044665, 0.29171689848105115, 0.05422101160417302, 0.2774620120968632, -0.009115422817154063, 0.1540703269149732, 0.043493463130987654, 0.0036872667213431513, 0.02664578315123417, -0.14302383744242517, 0.1319742032768901, 0.33150229309709783, 0.18422679462460706, 0.3849769757138659, -0.3988612988267583, -0.26420709038520174, 0.14823897484915727, 0.11773405150707925, 0.10202272433900472, -0.0328404051498651, -0.29907087535794935, 0.013915324287319725, -0.1616038517142185, -0.11461930208359704, -0.12706791237937382, -0.012407453801257141, -0.038904161176013974, -0.31389223849589026, 0.03057288079324997, 0.06032746050252833, 0.0383518332088686, -0.12656084553931246, -0.03396246406353182, 0.06947359239983589, 0.14513582947682777, -0.0003371687518959545, 0.042934285084049055, 0.12656664231679204, -0.1192513652865521, -0.16277227226663568, 0.37595776166541106, -0.03943272235549309, -0.257843390078933, 0.19391286539647615, -0.044860355725342575, -0.14577683797952803, 0.033608462122936895, 0.28342035341763283, 0.1826771692363451, -0.23509193531642056, 0.0831237109930659, -0.03196125009068937, 0.1335182233073871, -0.021362856442033493, 0.02222054645024014, 0.17377757148422074, 0.2688917695718695, 0.12546647162261335, 0.12389617769701425, 0.011497958904282764, -0.1867249937865629, -0.2912264612192909, -0.1425982462665574, -0.1281387316429931, 0.00575985059593663, -0.10570182996029458, -0.1416181623296297, 0.3375270105569125, 0.18543010232781973, 0.17020861911728527, 0.10701551071057717, 0.31541593679499746, 0.127454696501831, 0.0030505619754995963, 0.07914403950645015, 0.21916232038891376, 0.08542318896136501, 0.11444417101147612, -0.20100962716352308, 0.14153160100257156, 0.043613658653515755] |
1,802.07669 | On the convergence of partial sums with respect to Vilenkin system on
the martingale Hardy spaces | In this paper we derive characterizations of boundedness of the subsequences
of partial sums with respect to Vilenkin system on the martingale Hardy spaces
when $ 0<p<1 $. Moreover, we find necessary and sufficient conditions for the
modulus of continuity of $f\in H_{p}$ martingales, which provide convergence of
subsequences of partial sums on the martingale Hardy spaces. It is also proved
that these results are the best possible in a special sense. As applications,
both some well-known and new results are pointed out.
| math.CA | in this paper we derive characterizations of boundedness of the subsequences of partial sums with respect to vilenkin system on the martingale hardy spaces when 0p1 moreover we find necessary and sufficient conditions for the modulus of continuity of fin h_p martingales which provide convergence of subsequences of partial sums on the martingale hardy spaces it is also proved that these results are the best possible in a special sense as applications both some wellknown and new results are pointed out | [['in', 'this', 'paper', 'we', 'derive', 'characterizations', 'of', 'boundedness', 'of', 'the', 'subsequences', 'of', 'partial', 'sums', 'with', 'respect', 'to', 'vilenkin', 'system', 'on', 'the', 'martingale', 'hardy', 'spaces', 'when', '0p1', 'moreover', 'we', 'find', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'modulus', 'of', 'continuity', 'of', 'fin', 'h_p', 'martingales', 'which', 'provide', 'convergence', 'of', 'subsequences', 'of', 'partial', 'sums', 'on', 'the', 'martingale', 'hardy', 'spaces', 'it', 'is', 'also', 'proved', 'that', 'these', 'results', 'are', 'the', 'best', 'possible', 'in', 'a', 'special', 'sense', 'as', 'applications', 'both', 'some', 'wellknown', 'and', 'new', 'results', 'are', 'pointed', 'out']] | [-0.1117364719717039, 0.05423547363161673, -0.07579460842419922, 0.09601859881738085, -0.07017248721482854, -0.07905191052590071, 0.04009176873785938, 0.37727584519687996, -0.33114893752564156, -0.13826980361108449, 0.17733292645245882, -0.2628725317370055, -0.14881918537947866, 0.25651107558026265, -0.15183287385253258, 0.09713166393339634, 0.05078935226494515, 0.04581857483617007, -0.0997378244100679, -0.3509331739473122, 0.35966004088038095, -0.0426389704124979, 0.22066214315041346, 0.07040872185111598, 0.08031889585272213, -0.025208814549662263, -0.04060711875776358, -0.035231230722993244, -0.23850735400296405, 0.11855170741263363, 0.23908449152921452, 0.10153814513282275, 0.33146095492037725, -0.3791710439448555, -0.12130608180836763, 0.1867896745521805, 0.13189272222793258, -0.03517700706027954, -0.020269022199589714, -0.3181668767866529, 0.07634941677643377, -0.04963296181292354, -0.11624279582620035, -0.17330190090370584, 0.03468626353567765, 0.1547019120397759, -0.35303521448355396, 0.07597271311865764, 0.14436704515950916, 0.033211532781866414, -0.14140895175759072, -0.15238793994972688, 0.007524257014149133, 0.0654005569303092, 0.09367371089239088, 0.03035158236844488, 0.02062000079586366, -0.05725028639210871, -0.10080761881114018, 0.34902747587105376, -0.046202681205568856, -0.23355676205886275, 0.14306315521272706, -0.1984804307260079, -0.17696239509516293, 0.05785701303875051, 0.07701070719961951, 0.15400330597580766, -0.14006123543277896, 0.1245635213362007, -0.12717401829870117, 0.07492502103847118, 0.13907097153549577, 0.13558966691180327, 0.06451702913568344, 0.06659742723862974, 0.2049812256462044, 0.16636695470775903, 0.01522507363920284, -0.07475900909228159, -0.3805924855261742, -0.217160564456365, -0.1553282039814893, 0.08222990140698298, -0.1441118358839217, -0.18713146545866757, 0.3121090294709889, 0.14929829472330985, 0.14605689387665027, 0.1482553221874606, 0.15850167996307582, 0.11037153794996464, -0.013662995028964899, 0.01698332738108289, 0.17879298269169486, 0.22345604098195004, 0.08262828416133552, -0.11089239759876589, 0.05516487394494039, 0.17002095420051505] |
1,802.0767 | Investigation of radio pulsar emission features using power spectra | Since 2013 round-the-clock monitoring of the sky is carried out
simultaneously in 96 space beams using the high-sensitivity radio telescope of
LPA (Large Phased Array) at the frequency 110.25 MHz. These observations are
made under the program of the interplanetary plasma investigation. The same
data is used for the search for pulsars by means of the power spectra. For the
increase of the pulsar search sensitivity the summation to 500-600 of power
spectra corresponding to the different days of the observations is made. In the
integrated spectra of the known pulsars, besides expected improvement of a
signal-to-noise ($S/N$) ratio for the frequency harmonics, were showed some
features which are explored in the paper. We present 27 strongest pulsars which
are in the field of declinations $21\degr - 42\degr$ at which the connection of
observable details in the integrated power spectra with the presence of pulsar
periods of the second ($P_2$) and third ($P_3$) class has been discovered. The
empirical relations for the calculation of these periods are obtained. The
value $P_2$ is estimated for 26 pulsars, and for 15 sources it is made for the
first time. The value $P_3$ is estimated for 13 pulsars, from them for 5
sources they are given for the first time.
| astro-ph.HE astro-ph.SR | since 2013 roundtheclock monitoring of the sky is carried out simultaneously in 96 space beams using the highsensitivity radio telescope of lpa large phased array at the frequency 11025 mhz these observations are made under the program of the interplanetary plasma investigation the same data is used for the search for pulsars by means of the power spectra for the increase of the pulsar search sensitivity the summation to 500600 of power spectra corresponding to the different days of the observations is made in the integrated spectra of the known pulsars besides expected improvement of a signaltonoise sn ratio for the frequency harmonics were showed some features which are explored in the paper we present 27 strongest pulsars which are in the field of declinations 21degr 42degr at which the connection of observable details in the integrated power spectra with the presence of pulsar periods of the second p_2 and third p_3 class has been discovered the empirical relations for the calculation of these periods are obtained the value p_2 is estimated for 26 pulsars and for 15 sources it is made for the first time the value p_3 is estimated for 13 pulsars from them for 5 sources they are given for the first time | [['since', '2013', 'roundtheclock', 'monitoring', 'of', 'the', 'sky', 'is', 'carried', 'out', 'simultaneously', 'in', '96', 'space', 'beams', 'using', 'the', 'highsensitivity', 'radio', 'telescope', 'of', 'lpa', 'large', 'phased', 'array', 'at', 'the', 'frequency', '11025', 'mhz', 'these', 'observations', 'are', 'made', 'under', 'the', 'program', 'of', 'the', 'interplanetary', 'plasma', 'investigation', 'the', 'same', 'data', 'is', 'used', 'for', 'the', 'search', 'for', 'pulsars', 'by', 'means', 'of', 'the', 'power', 'spectra', 'for', 'the', 'increase', 'of', 'the', 'pulsar', 'search', 'sensitivity', 'the', 'summation', 'to', '500600', 'of', 'power', 'spectra', 'corresponding', 'to', 'the', 'different', 'days', 'of', 'the', 'observations', 'is', 'made', 'in', 'the', 'integrated', 'spectra', 'of', 'the', 'known', 'pulsars', 'besides', 'expected', 'improvement', 'of', 'a', 'signaltonoise', 'sn', 'ratio', 'for', 'the', 'frequency', 'harmonics', 'were', 'showed', 'some', 'features', 'which', 'are', 'explored', 'in', 'the', 'paper', 'we', 'present', '27', 'strongest', 'pulsars', 'which', 'are', 'in', 'the', 'field', 'of', 'declinations', '21degr', '42degr', 'at', 'which', 'the', 'connection', 'of', 'observable', 'details', 'in', 'the', 'integrated', 'power', 'spectra', 'with', 'the', 'presence', 'of', 'pulsar', 'periods', 'of', 'the', 'second', 'p_2', 'and', 'third', 'p_3', 'class', 'has', 'been', 'discovered', 'the', 'empirical', 'relations', 'for', 'the', 'calculation', 'of', 'these', 'periods', 'are', 'obtained', 'the', 'value', 'p_2', 'is', 'estimated', 'for', '26', 'pulsars', 'and', 'for', '15', 'sources', 'it', 'is', 'made', 'for', 'the', 'first', 'time', 'the', 'value', 'p_3', 'is', 'estimated', 'for', '13', 'pulsars', 'from', 'them', 'for', '5', 'sources', 'they', 'are', 'given', 'for', 'the', 'first', 'time']] | [-0.13002077674601048, 0.13214287337762595, -0.045722574078907056, 0.06138727440859428, -0.06807801435591981, -0.0559281309111861, 0.04261755739443127, 0.3944843151451399, -0.19849523696044058, -0.3608570880640079, 0.13957733921215906, -0.30398728466717134, -0.03344343078331839, 0.27120378290134134, 0.019332925948843945, 0.03549147050316427, 0.06577794238874762, -0.0024709116648106524, -0.03977967180624403, -0.2240726843545631, 0.24004557792681688, 0.10293922107894997, 0.2149005085503792, -0.02765661918965634, 0.09758818946326808, -0.04699301166236218, -0.07953818044259998, -0.020352083372606158, -0.08705110957110745, 0.0828294728051725, 0.26079485460992574, 0.12603798876151295, 0.18551885974410848, -0.36300603443227125, -0.17525585818586087, 0.0907791516584956, 0.10835069517905176, 0.007917368255541934, -0.007337438297006027, -0.27088262172936295, 0.10080555755720365, -0.15922491113180479, -0.15354221914073124, 0.0031925133365553384, 0.07016901402590413, 0.07237123499959464, -0.2514932069690058, 0.05857102162725128, 0.01099650590342707, 0.09177909499746473, -0.0849426709887042, -0.16675458489129702, 0.02468506835672694, 0.11616267033341322, 0.05667187384667569, 0.018744608063214256, 0.05498051510977687, -0.10411922711486399, -0.10331676856331601, 0.37433120396385405, -0.04153636750518618, -0.06529458814446687, 0.1270449808878623, -0.2062719655154711, -0.16979391126683457, 0.17647047921234524, 0.15808776324368357, 0.10285194642503984, -0.16076740704581835, 0.026555848882565566, -0.007347861498904725, 0.19443426613796355, 0.0900026146281401, 0.04997027208446525, 0.2432505277661132, 0.11459206821974459, 0.032329751621457, 0.12583258404001577, -0.2368146602657005, -0.02205216094586706, -0.27479649107337145, -0.10553972632624209, -0.17728887149532252, 0.05786073427446479, -0.08521174236047241, -0.06551756464400302, 0.4299438199389032, 0.1060236158310527, 0.1530013973413802, 0.05846833888105774, 0.2695237844086745, 0.15161822129305744, 0.0792136680284588, 0.07946666638713841, 0.33556611205330783, 0.12465310094229803, 0.13604486539192936, -0.1772631223671031, 0.04177040975385656, -0.02216379464074385] |
1,802.07671 | Stokes waves with constant vorticity: I. numerical computation | Periodic traveling waves are numerically computed in a constant vorticity
flow subject to the force of gravity. The Stokes wave problem is formulated via
a conformal mapping as a nonlinear pseudo-differential equation, involving a
periodic Hilbert transform for a strip, and solved by the Newton-GMRES method.
It works well with a fast Fourier transform and is more effective than a
boundary integral method. The result is in excellent agreement, qualitatively
and quantitatively, with earlier ones.
For strong positive vorticity, in the finite or infinite depth, overhanging
profiles are found as the steepness increases and tend to a touching wave,
whose profile self-intersects somewhere along the trough line, trapping an air
bubble; the numerical solutions become unphysical as the steepness increases
further and make a gap in the wave speed versus steepness plane; a touching
wave then takes over and the physical solutions follow in the wave speed versus
steepness plane until they ultimately tend to an extreme wave, which exhibits a
sharp corner at the crest. Overhanging waves of nearly maximum heights are
found to approach rigid body rotation of a fluid disk as the strength of
positive vorticity increases.
| physics.flu-dyn | periodic traveling waves are numerically computed in a constant vorticity flow subject to the force of gravity the stokes wave problem is formulated via a conformal mapping as a nonlinear pseudodifferential equation involving a periodic hilbert transform for a strip and solved by the newtongmres method it works well with a fast fourier transform and is more effective than a boundary integral method the result is in excellent agreement qualitatively and quantitatively with earlier ones for strong positive vorticity in the finite or infinite depth overhanging profiles are found as the steepness increases and tend to a touching wave whose profile selfintersects somewhere along the trough line trapping an air bubble the numerical solutions become unphysical as the steepness increases further and make a gap in the wave speed versus steepness plane a touching wave then takes over and the physical solutions follow in the wave speed versus steepness plane until they ultimately tend to an extreme wave which exhibits a sharp corner at the crest overhanging waves of nearly maximum heights are found to approach rigid body rotation of a fluid disk as the strength of positive vorticity increases | [['periodic', 'traveling', 'waves', 'are', 'numerically', 'computed', 'in', 'a', 'constant', 'vorticity', 'flow', 'subject', 'to', 'the', 'force', 'of', 'gravity', 'the', 'stokes', 'wave', 'problem', 'is', 'formulated', 'via', 'a', 'conformal', 'mapping', 'as', 'a', 'nonlinear', 'pseudodifferential', 'equation', 'involving', 'a', 'periodic', 'hilbert', 'transform', 'for', 'a', 'strip', 'and', 'solved', 'by', 'the', 'newtongmres', 'method', 'it', 'works', 'well', 'with', 'a', 'fast', 'fourier', 'transform', 'and', 'is', 'more', 'effective', 'than', 'a', 'boundary', 'integral', 'method', 'the', 'result', 'is', 'in', 'excellent', 'agreement', 'qualitatively', 'and', 'quantitatively', 'with', 'earlier', 'ones', 'for', 'strong', 'positive', 'vorticity', 'in', 'the', 'finite', 'or', 'infinite', 'depth', 'overhanging', 'profiles', 'are', 'found', 'as', 'the', 'steepness', 'increases', 'and', 'tend', 'to', 'a', 'touching', 'wave', 'whose', 'profile', 'selfintersects', 'somewhere', 'along', 'the', 'trough', 'line', 'trapping', 'an', 'air', 'bubble', 'the', 'numerical', 'solutions', 'become', 'unphysical', 'as', 'the', 'steepness', 'increases', 'further', 'and', 'make', 'a', 'gap', 'in', 'the', 'wave', 'speed', 'versus', 'steepness', 'plane', 'a', 'touching', 'wave', 'then', 'takes', 'over', 'and', 'the', 'physical', 'solutions', 'follow', 'in', 'the', 'wave', 'speed', 'versus', 'steepness', 'plane', 'until', 'they', 'ultimately', 'tend', 'to', 'an', 'extreme', 'wave', 'which', 'exhibits', 'a', 'sharp', 'corner', 'at', 'the', 'crest', 'overhanging', 'waves', 'of', 'nearly', 'maximum', 'heights', 'are', 'found', 'to', 'approach', 'rigid', 'body', 'rotation', 'of', 'a', 'fluid', 'disk', 'as', 'the', 'strength', 'of', 'positive', 'vorticity', 'increases']] | [-0.16396404306073428, 0.1335666038458983, -0.08676815939160358, 0.07275032944254282, -0.08679521375482804, -0.12902676824826478, -0.008753399413054514, 0.35256686990492436, -0.27462578768792906, -0.24714881651789733, 0.11680034149965075, -0.3038700290955603, -0.12959600881992006, 0.21701546575457445, 0.010523600236659771, 0.09708043784638376, 0.02059330629724029, 0.030246221622158037, -0.07093956415835571, -0.16226664319217793, 0.2766665306775586, 0.022882613958790897, 0.2642510161931185, 0.049755300718702766, 0.07820071740394556, -0.018032582942396402, -0.0021408662604364124, 0.05774603771952618, -0.13935837520556035, 0.0352371841736481, 0.21286685239450123, 0.03803408976987396, 0.26730779513814734, -0.4429457187113401, -0.24193398071403957, 0.038821031643371834, 0.1996716141118668, 0.10378400295617451, -0.03157145305035795, -0.26190599560933675, 0.020973251549232946, -0.10451163642819186, -0.2209767705148184, 0.01933857360854745, 0.07288613395618374, 0.05992844342744272, -0.24855745623721495, 0.11937692731689344, 0.034444657922109684, 0.04086756137885938, -0.09983841554310761, -0.05714553002096517, -0.07532382994571603, 0.0568380010424574, 0.08470589438771928, 0.10301877162848158, 0.11264733351387182, -0.13984831474525364, -0.009105817838817051, 0.37808850387993614, -0.10393270807912096, -0.21761651111668662, 0.18336120401264022, -0.14367760649122494, 0.0033525653025686837, 0.2019291228835324, 0.1558694899033167, 0.09327168533362917, -0.047786634996239294, 0.04437380940347028, -0.0439453370196708, 0.15049369916638458, 0.16601230317212054, -0.050759439979485343, 0.23117792994568223, 0.09329751091764162, 0.12903978143447986, 0.1291767545877711, -0.08806507961003501, -0.08523536707323633, -0.2928829517411558, -0.14220293245866503, -0.17022208356065677, 0.008383467074293693, -0.09897092448526038, -0.222643866002143, 0.3938519341993685, 0.07551695275400754, 0.20703306567953214, 0.08306279844469636, 0.27776259148101273, 0.18110444873914514, 0.05450576886436657, 0.09559910466747457, 0.2580057653622996, 0.15284217906944259, 0.14875382930530529, -0.22081714729276045, 0.025068311809905267, 0.08010040907875488] |
1,802.07672 | Learning Multiple Categories on Deep Convolution Networks | Deep convolution networks have proved very successful with big datasets such
as the 1000-classes ImageNet. Results show that the error rate increases slowly
as the size of the dataset increases. Experiments presented here may explain
why these networks are very effective in solving big recognition problems. If
the big task is made up of multiple smaller tasks, then the results show the
ability of deep convolution networks to decompose the complex task into a
number of smaller tasks and to learn them simultaneously. The results show that
the performance of solving the big task on a single network is very close to
the average performance of solving each of the smaller tasks on a separate
network. Experiments also show the advantage of using task specific or category
labels in combination with class labels.
| cs.CV | deep convolution networks have proved very successful with big datasets such as the 1000classes imagenet results show that the error rate increases slowly as the size of the dataset increases experiments presented here may explain why these networks are very effective in solving big recognition problems if the big task is made up of multiple smaller tasks then the results show the ability of deep convolution networks to decompose the complex task into a number of smaller tasks and to learn them simultaneously the results show that the performance of solving the big task on a single network is very close to the average performance of solving each of the smaller tasks on a separate network experiments also show the advantage of using task specific or category labels in combination with class labels | [['deep', 'convolution', 'networks', 'have', 'proved', 'very', 'successful', 'with', 'big', 'datasets', 'such', 'as', 'the', '1000classes', 'imagenet', 'results', 'show', 'that', 'the', 'error', 'rate', 'increases', 'slowly', 'as', 'the', 'size', 'of', 'the', 'dataset', 'increases', 'experiments', 'presented', 'here', 'may', 'explain', 'why', 'these', 'networks', 'are', 'very', 'effective', 'in', 'solving', 'big', 'recognition', 'problems', 'if', 'the', 'big', 'task', 'is', 'made', 'up', 'of', 'multiple', 'smaller', 'tasks', 'then', 'the', 'results', 'show', 'the', 'ability', 'of', 'deep', 'convolution', 'networks', 'to', 'decompose', 'the', 'complex', 'task', 'into', 'a', 'number', 'of', 'smaller', 'tasks', 'and', 'to', 'learn', 'them', 'simultaneously', 'the', 'results', 'show', 'that', 'the', 'performance', 'of', 'solving', 'the', 'big', 'task', 'on', 'a', 'single', 'network', 'is', 'very', 'close', 'to', 'the', 'average', 'performance', 'of', 'solving', 'each', 'of', 'the', 'smaller', 'tasks', 'on', 'a', 'separate', 'network', 'experiments', 'also', 'show', 'the', 'advantage', 'of', 'using', 'task', 'specific', 'or', 'category', 'labels', 'in', 'combination', 'with', 'class', 'labels']] | [-0.061200622981149616, 0.015341534969841385, -0.02858113762075928, 0.05753128108688432, -0.08334807922118202, -0.1632607540249768, 0.008262635187499902, 0.4184530686770538, -0.3026951707433909, -0.3545844632370228, 0.09338072763233812, -0.270074545165919, -0.1743184320547505, 0.2528968628718179, -0.10246846844639743, 0.060247108675398384, 0.21307174919638783, 0.08931970815033172, -0.07404606927285028, -0.32512990524992347, 0.3227095266532463, 0.028069314849827522, 0.32394639556084504, 0.0543316519134819, 0.1178890542289468, -0.08098680492857414, -0.0019244218128733337, 0.01769217772755038, -0.02201812064848844, 0.1372647874179, 0.2953014763364935, 0.16803793953449436, 0.3467750721267128, -0.42140295657780813, -0.21374649341151147, 0.11348006061885055, 0.14535333577077836, 0.08373054145991002, -0.009469601535591099, -0.3163096326011741, 0.13423981229689988, -0.13364614129320465, -0.004345924974503842, -0.12346459084162206, 0.024615968916226517, 0.005402649057831502, -0.2699731311224627, 0.014894675400379734, 0.04767332354888574, 0.00018504726220712519, -0.03292801027860013, -0.14224120587900732, 0.023350920969140574, 0.1799725646692836, 0.05974160141495028, 0.03504443514534752, 0.1252727767621929, -0.2198107322946078, -0.11778531611233836, 0.3751206332958783, -0.05358750583378203, -0.18664482734024976, 0.19709830626026925, -0.07174135339587476, -0.1732620719567146, 0.1015023333091063, 0.21595434956323128, 0.1272344604614332, -0.0945841340087072, 0.008775885738555879, -0.07270899906782716, 0.19719665778349293, 0.04232534083932864, -0.014921280075654839, 0.16024125775562204, 0.2744019487555223, 0.033515158216962875, 0.14101739343481534, -0.1238855855298232, -0.06751653503372589, -0.1918132367625896, -0.11387479992999668, -0.22156368274679125, 0.013277564261277968, -0.12954028688755265, -0.11928388286370054, 0.35958018742332404, 0.17862882773371178, 0.27741490698165516, 0.13239354156945465, 0.3200775991991219, 0.05696941343503016, 0.1485061642897287, 0.07662722533815682, 0.18803151480581923, 0.04060237049689573, 0.11583711716318221, -0.19235421715050258, 0.05362035401842811, 0.022306795683548306] |
1,802.07673 | Non-Malleable Codes for Small-Depth Circuits | We construct efficient, unconditional non-malleable codes that are secure
against tampering functions computed by small-depth circuits. For
constant-depth circuits of polynomial size (i.e. $\mathsf{AC^0}$ tampering
functions), our codes have codeword length $n = k^{1+o(1)}$ for a $k$-bit
message. This is an exponential improvement of the previous best construction
due to Chattopadhyay and Li (STOC 2017), which had codeword length
$2^{O(\sqrt{k})}$. Our construction remains efficient for circuit depths as
large as $\Theta(\log(n)/\log\log(n))$ (indeed, our codeword length remains
$n\leq k^{1+\epsilon})$, and extending our result beyond this would require
separating $\mathsf{P}$ from $\mathsf{NC^1}$.
We obtain our codes via a new efficient non-malleable reduction from
small-depth tampering to split-state tampering. A novel aspect of our work is
the incorporation of techniques from unconditional derandomization into the
framework of non-malleable reductions. In particular, a key ingredient in our
analysis is a recent pseudorandom switching lemma of Trevisan and Xue (CCC
2013), a derandomization of the influential switching lemma from circuit
complexity; the randomness-efficiency of this switching lemma translates into
the rate-efficiency of our codes via our non-malleable reduction.
| cs.CC cs.CR cs.IT math.IT | we construct efficient unconditional nonmalleable codes that are secure against tampering functions computed by smalldepth circuits for constantdepth circuits of polynomial size ie mathsfac0 tampering functions our codes have codeword length n k1o1 for a kbit message this is an exponential improvement of the previous best construction due to chattopadhyay and li stoc 2017 which had codeword length 2osqrtk our construction remains efficient for circuit depths as large as thetalognloglogn indeed our codeword length remains nleq k1epsilon and extending our result beyond this would require separating mathsfp from mathsfnc1 we obtain our codes via a new efficient nonmalleable reduction from smalldepth tampering to splitstate tampering a novel aspect of our work is the incorporation of techniques from unconditional derandomization into the framework of nonmalleable reductions in particular a key ingredient in our analysis is a recent pseudorandom switching lemma of trevisan and xue ccc 2013 a derandomization of the influential switching lemma from circuit complexity the randomnessefficiency of this switching lemma translates into the rateefficiency of our codes via our nonmalleable reduction | [['we', 'construct', 'efficient', 'unconditional', 'nonmalleable', 'codes', 'that', 'are', 'secure', 'against', 'tampering', 'functions', 'computed', 'by', 'smalldepth', 'circuits', 'for', 'constantdepth', 'circuits', 'of', 'polynomial', 'size', 'ie', 'mathsfac0', 'tampering', 'functions', 'our', 'codes', 'have', 'codeword', 'length', 'n', 'k1o1', 'for', 'a', 'kbit', 'message', 'this', 'is', 'an', 'exponential', 'improvement', 'of', 'the', 'previous', 'best', 'construction', 'due', 'to', 'chattopadhyay', 'and', 'li', 'stoc', '2017', 'which', 'had', 'codeword', 'length', '2osqrtk', 'our', 'construction', 'remains', 'efficient', 'for', 'circuit', 'depths', 'as', 'large', 'as', 'thetalognloglogn', 'indeed', 'our', 'codeword', 'length', 'remains', 'nleq', 'k1epsilon', 'and', 'extending', 'our', 'result', 'beyond', 'this', 'would', 'require', 'separating', 'mathsfp', 'from', 'mathsfnc1', 'we', 'obtain', 'our', 'codes', 'via', 'a', 'new', 'efficient', 'nonmalleable', 'reduction', 'from', 'smalldepth', 'tampering', 'to', 'splitstate', 'tampering', 'a', 'novel', 'aspect', 'of', 'our', 'work', 'is', 'the', 'incorporation', 'of', 'techniques', 'from', 'unconditional', 'derandomization', 'into', 'the', 'framework', 'of', 'nonmalleable', 'reductions', 'in', 'particular', 'a', 'key', 'ingredient', 'in', 'our', 'analysis', 'is', 'a', 'recent', 'pseudorandom', 'switching', 'lemma', 'of', 'trevisan', 'and', 'xue', 'ccc', '2013', 'a', 'derandomization', 'of', 'the', 'influential', 'switching', 'lemma', 'from', 'circuit', 'complexity', 'the', 'randomnessefficiency', 'of', 'this', 'switching', 'lemma', 'translates', 'into', 'the', 'rateefficiency', 'of', 'our', 'codes', 'via', 'our', 'nonmalleable', 'reduction']] | [-0.16153220427666037, 0.03948052501497538, -0.0708084761614113, 0.051527905283451435, -0.011826138552610896, -0.2117587855817484, 0.10508380667306483, 0.31306077332590665, -0.26234319212657975, -0.3026896657594036, 0.10600639724621683, -0.2191283579796575, -0.1638015251443167, 0.2504966345981562, -0.1738853399812277, 0.0967801061869111, 0.026487903295284405, -0.07935546027337773, -0.028780149036763413, -0.35440313233162407, 0.2675463234675893, 0.11539450675869982, 0.24277459025116904, 0.029038228806928686, 0.07078930667748431, 0.030173411936543527, -0.03186154143518901, -0.08115073972051808, -0.15572621144786222, 0.15404944179490918, 0.2894986009979177, 0.2031414802629678, 0.26466482341112124, -0.3691872853198133, -0.1963520611777009, 0.08178193168160283, 0.13324327741671974, 0.2274511706609268, -0.06619799059089496, -0.23794238991242656, 0.14257360959960524, -0.17813506429194517, -0.024376933472272606, -0.04268937018821903, 0.0522652451292656, 0.006210512277903035, -0.30700298794545233, 0.007439705437891895, 0.18790187767063754, 0.047697971550016, 0.04338366593444897, -0.1499165429462058, 0.0580640930718454, 0.09984487163213392, -0.034702420821260946, 0.11408932259239789, 0.06609295710361385, -0.04952200552188082, -0.19315920943128212, 0.26082062041747295, -0.026124955348980922, -0.13054012994065747, 0.10911638147774197, 0.010765389185204791, -0.14084973933252817, 0.14900948674905867, 0.16722701665379905, 0.11537158440166552, -0.06874426439615144, 0.11912888542844614, -0.10482997119071938, 0.25664899856201373, 0.14366478783666112, 0.10122252022015996, 0.08059432655794635, 0.11577418239349277, 0.08298079325911767, 0.20001669754717677, 0.0015895604876623977, -0.05334502291294657, -0.2860316511401574, -0.16411398508942165, -0.2162096931687778, 0.08995973158674869, -0.15175874981035858, -0.166152414152055, 0.3556519618113747, 0.15570461400784552, 0.14774738154872985, 0.1682387175477786, 0.308327421174562, 0.031751660076787674, 0.09911306936936896, 0.16430657280696842, 0.16709243136782398, 0.13929456179764765, 0.01000043296621048, -0.1496482444892449, 0.13869730256001708, 0.1371924568520626] |
1,802.07674 | Odd-time reversal $PT$ symmetry induced by anti-$PT$-symmetric medium | We introduce an optical system (a coupler) obeying parity-time ($PT$)
symmetry with odd-time reversal, $T^2=-1$. It is implemented with two
birefringent waveguides embedded in an anti-$PT$-symmetric medium. The system
possesses properties which are untypical for most physical systems with the
conventional even-time reversal. Having symmetry-protected degeneracy of the
linear modes, the coupler allows for realization of a coherent switch operating
with a superposition of binary states which are distinguished by their
polarizations. When a Kerr nonlinearity is taken into account, each linear
state, being double degenerated, bifurcates into several distinct nonlinear
modes, some of which are dynamically stable. The nonlinear modes are
characterized by amplitude and by polarization and come in $PT$-conjugate
pairs.
| physics.optics nlin.PS | we introduce an optical system a coupler obeying paritytime pt symmetry with oddtime reversal t21 it is implemented with two birefringent waveguides embedded in an antiptsymmetric medium the system possesses properties which are untypical for most physical systems with the conventional eventime reversal having symmetryprotected degeneracy of the linear modes the coupler allows for realization of a coherent switch operating with a superposition of binary states which are distinguished by their polarizations when a kerr nonlinearity is taken into account each linear state being double degenerated bifurcates into several distinct nonlinear modes some of which are dynamically stable the nonlinear modes are characterized by amplitude and by polarization and come in ptconjugate pairs | [['we', 'introduce', 'an', 'optical', 'system', 'a', 'coupler', 'obeying', 'paritytime', 'pt', 'symmetry', 'with', 'oddtime', 'reversal', 't21', 'it', 'is', 'implemented', 'with', 'two', 'birefringent', 'waveguides', 'embedded', 'in', 'an', 'antiptsymmetric', 'medium', 'the', 'system', 'possesses', 'properties', 'which', 'are', 'untypical', 'for', 'most', 'physical', 'systems', 'with', 'the', 'conventional', 'eventime', 'reversal', 'having', 'symmetryprotected', 'degeneracy', 'of', 'the', 'linear', 'modes', 'the', 'coupler', 'allows', 'for', 'realization', 'of', 'a', 'coherent', 'switch', 'operating', 'with', 'a', 'superposition', 'of', 'binary', 'states', 'which', 'are', 'distinguished', 'by', 'their', 'polarizations', 'when', 'a', 'kerr', 'nonlinearity', 'is', 'taken', 'into', 'account', 'each', 'linear', 'state', 'being', 'double', 'degenerated', 'bifurcates', 'into', 'several', 'distinct', 'nonlinear', 'modes', 'some', 'of', 'which', 'are', 'dynamically', 'stable', 'the', 'nonlinear', 'modes', 'are', 'characterized', 'by', 'amplitude', 'and', 'by', 'polarization', 'and', 'come', 'in', 'ptconjugate', 'pairs']] | [-0.22820959592590462, 0.21333670789225925, -0.06765946674555003, -0.03789817376339154, -0.07397628031033385, -0.24271216835860196, -0.052022534714139125, 0.3986876497867408, -0.2701432686183719, -0.23113428385139587, 0.08840558939898673, -0.2819806262369631, -0.10375028720696096, 0.18738848751548234, 0.03587176964979048, 0.05217301123251149, -0.007446933235671069, -0.028741433205468965, -0.05827242664930931, -0.15870959548959257, 0.33949900053122695, -0.05285195673622929, 0.2821955535611188, -0.07667561294930475, 0.10818216270087538, 0.016056166856910463, 0.08482586517919542, -0.005452863450438992, -0.033828335728177485, 0.04589508399776359, 0.21964131869157558, 0.009998935123754514, 0.20316915474790107, -0.434279241783729, -0.20713437647665725, 0.07223136640816659, 0.11734481530105653, 0.1386677186321551, -0.054941529202535075, -0.3173692886610641, 0.04586348730047141, -0.14179968111519073, -0.14698991453828844, -0.0789949004485918, 0.007149568704368027, -0.01231861429137958, -0.2644800789620694, 0.02772399068700972, 0.10580096568918561, 0.024644513018764892, -0.0330503532848623, -0.052701425115653386, -0.1286526469090064, 0.0425011611510559, -0.00673601280075607, -0.05445159024030373, 0.0804970208786193, -0.0918132643349603, -0.1422939393417658, 0.40691525423647584, -0.03324695920408074, -0.20223445759935155, 0.16262513299279654, -0.12341764998865558, -0.05897685929478423, 0.16751980798335764, 0.15484445382681516, 0.07042253935743156, -0.12350853209355993, 0.03868448239990283, -0.01098848855844489, 0.1784976996651322, 0.09088411618460406, 0.1449366557025896, 0.2732832793918279, 0.1490835755966973, 0.046615111929739966, 0.1848825666222822, -0.028829932246390765, -0.08703696083378147, -0.2897510372169383, -0.11712021074836722, -0.16306060870589167, 0.0416221495776496, -0.06321366745448957, -0.14719886441824134, 0.42530038117154223, 0.005790336178154223, 0.19183332073032386, -0.018281304849461687, 0.26360404714606367, 0.19756084980929758, 0.09813794137717032, 0.05130547168035362, 0.30214130084438307, 0.1645159837993036, 0.05751488200254604, -0.25664383401204877, 0.0009423756653648541, -0.005463856800987914] |
1,802.07675 | Exact Correlators from Conformal Ward Identities in Momentum Space and
the Perturbative $TJJ$ Vertex | We present a general study of 3-point functions of conformal field theory in
momentum space, following a reconstruction method for tensor correlators, based
on the solution of the conformal Ward identities (CWI' s), introduced in recent
works by Bzowski, McFadden and Skenderis (BMS). We investigate and detail the
structure of the CWI's, their non-perturbative solutions and the transition to
momentum space, comparing them to perturbation theory by taking QED as an
example. We then proceed with an analysis of the $TJJ$ correlator, presenting
independent and detailed re-derivations of the conformal equations in the
reconstruction method of BMS, originally formulated using a minimal tensor
basis in the transverse traceless sector. A careful comparison with a second
basis introduced in previous studies shows that this correlator is affected by
one anomaly pole in the graviton (T) line, induced by renormalization. The
result shows that the origin of the anomaly, in this correlator, should be
necessarily attributed to the exchange of a massless effective degree of
freedom. Our results are then exemplified in massless QED at one-loop in
$d$-dimensions, expressed in terms of perturbative master integrals. An
independent analysis of the Fuchsian character of the solutions, which bypasses
the 3K integrals, is also presented. We show that the combination of field
theories at one-loop - with a specific field content of degenerate massless
scalar and fermions - is sufficient to generate the complete non-perturbative
solution, in agreement with a previous study in coordinate space. The result
shows that free conformal field theories, in specific dimensions, arrested at
one-loop, reproduce the general result for the $TJJ$. Analytical checks of this
correspondence are presented in $d=3,4$ and $5$ spacetime dimensions[..].
| hep-th hep-ph | we present a general study of 3point functions of conformal field theory in momentum space following a reconstruction method for tensor correlators based on the solution of the conformal ward identities cwi s introduced in recent works by bzowski mcfadden and skenderis bms we investigate and detail the structure of the cwis their nonperturbative solutions and the transition to momentum space comparing them to perturbation theory by taking qed as an example we then proceed with an analysis of the tjj correlator presenting independent and detailed rederivations of the conformal equations in the reconstruction method of bms originally formulated using a minimal tensor basis in the transverse traceless sector a careful comparison with a second basis introduced in previous studies shows that this correlator is affected by one anomaly pole in the graviton t line induced by renormalization the result shows that the origin of the anomaly in this correlator should be necessarily attributed to the exchange of a massless effective degree of freedom our results are then exemplified in massless qed at oneloop in ddimensions expressed in terms of perturbative master integrals an independent analysis of the fuchsian character of the solutions which bypasses the 3k integrals is also presented we show that the combination of field theories at oneloop with a specific field content of degenerate massless scalar and fermions is sufficient to generate the complete nonperturbative solution in agreement with a previous study in coordinate space the result shows that free conformal field theories in specific dimensions arrested at oneloop reproduce the general result for the tjj analytical checks of this correspondence are presented in d34 and 5 spacetime dimensions | [['we', 'present', 'a', 'general', 'study', 'of', '3point', 'functions', 'of', 'conformal', 'field', 'theory', 'in', 'momentum', 'space', 'following', 'a', 'reconstruction', 'method', 'for', 'tensor', 'correlators', 'based', 'on', 'the', 'solution', 'of', 'the', 'conformal', 'ward', 'identities', 'cwi', 's', 'introduced', 'in', 'recent', 'works', 'by', 'bzowski', 'mcfadden', 'and', 'skenderis', 'bms', 'we', 'investigate', 'and', 'detail', 'the', 'structure', 'of', 'the', 'cwis', 'their', 'nonperturbative', 'solutions', 'and', 'the', 'transition', 'to', 'momentum', 'space', 'comparing', 'them', 'to', 'perturbation', 'theory', 'by', 'taking', 'qed', 'as', 'an', 'example', 'we', 'then', 'proceed', 'with', 'an', 'analysis', 'of', 'the', 'tjj', 'correlator', 'presenting', 'independent', 'and', 'detailed', 'rederivations', 'of', 'the', 'conformal', 'equations', 'in', 'the', 'reconstruction', 'method', 'of', 'bms', 'originally', 'formulated', 'using', 'a', 'minimal', 'tensor', 'basis', 'in', 'the', 'transverse', 'traceless', 'sector', 'a', 'careful', 'comparison', 'with', 'a', 'second', 'basis', 'introduced', 'in', 'previous', 'studies', 'shows', 'that', 'this', 'correlator', 'is', 'affected', 'by', 'one', 'anomaly', 'pole', 'in', 'the', 'graviton', 't', 'line', 'induced', 'by', 'renormalization', 'the', 'result', 'shows', 'that', 'the', 'origin', 'of', 'the', 'anomaly', 'in', 'this', 'correlator', 'should', 'be', 'necessarily', 'attributed', 'to', 'the', 'exchange', 'of', 'a', 'massless', 'effective', 'degree', 'of', 'freedom', 'our', 'results', 'are', 'then', 'exemplified', 'in', 'massless', 'qed', 'at', 'oneloop', 'in', 'ddimensions', 'expressed', 'in', 'terms', 'of', 'perturbative', 'master', 'integrals', 'an', 'independent', 'analysis', 'of', 'the', 'fuchsian', 'character', 'of', 'the', 'solutions', 'which', 'bypasses', 'the', '3k', 'integrals', 'is', 'also', 'presented', 'we', 'show', 'that', 'the', 'combination', 'of', 'field', 'theories', 'at', 'oneloop', 'with', 'a', 'specific', 'field', 'content', 'of', 'degenerate', 'massless', 'scalar', 'and', 'fermions', 'is', 'sufficient', 'to', 'generate', 'the', 'complete', 'nonperturbative', 'solution', 'in', 'agreement', 'with', 'a', 'previous', 'study', 'in', 'coordinate', 'space', 'the', 'result', 'shows', 'that', 'free', 'conformal', 'field', 'theories', 'in', 'specific', 'dimensions', 'arrested', 'at', 'oneloop', 'reproduce', 'the', 'general', 'result', 'for', 'the', 'tjj', 'analytical', 'checks', 'of', 'this', 'correspondence', 'are', 'presented', 'in', 'd34', 'and', '5', 'spacetime', 'dimensions']] | [-0.15747026168087142, 0.12075092282030866, -0.09346995580672361, 0.061041692979702036, -0.049662903807511476, -0.08927767891982645, -0.010321944175908962, 0.3028261382149826, -0.17118530339158852, -0.24593974110387237, 0.06575707736554737, -0.27019132781200683, -0.1668231075118356, 0.1316142530767281, -0.0066934768878087235, 0.04137172171293379, 0.027232919801316556, 0.04581511741667822, -0.09922242245462896, -0.24853071958873926, 0.3580274883514413, 0.03827908211268294, 0.2604929522641904, 0.08014170298584815, 0.09558753821710568, 0.05219846804845471, -0.06820823466012957, 0.02238369419040319, -0.11512021453858817, 0.09258826466144196, 0.23366204000802218, 0.061513967677256205, 0.16763787881399578, -0.39974423973469725, -0.19524884910031473, 0.028011350567544717, 0.1553441112794514, 0.12719567918138502, -0.03552761679950627, -0.2789462169448098, 0.0733742482918434, -0.16839589045308198, -0.1909261241865655, -0.11454064561495039, -0.019607640193918578, -0.07701447703334036, -0.26471194928454833, 0.10322114206371222, 0.02150379778005374, 0.0567890086412539, -0.06083292153496773, -0.09059146197551977, -0.018382968148216605, 0.08990868606886933, 0.10036821515493832, 0.08729947572885313, 0.07444549456789694, -0.15976021924348643, -0.13899239241409939, 0.3528018364044855, -0.10283218275997856, -0.23244347749555128, 0.1323590544538552, -0.1726613904003245, -0.1691226580251868, 0.09906683901696715, 0.1112556561133432, 0.16012070716986426, -0.17033320236589714, 0.16453316675937452, -0.025293649013935427, 0.1117766129250396, 0.08269933729616741, 0.008906901877341687, 0.18460701838060667, 0.08679121499454719, 0.0027316086396793307, 0.15172870219864237, 0.020630069825718956, -0.10605746718812666, -0.3990126355745635, -0.16417756781277107, -0.17042472146216084, 0.06548736926301249, -0.12085387559793975, -0.16519159839604555, 0.40918256711016915, 0.13474027444418749, 0.17016437165942316, 0.04638371957788387, 0.26549119999693643, 0.15027619954970436, 0.10076333663934645, 0.0688216515374114, 0.2392209947805156, 0.16886752113809078, 0.09132810546624245, -0.2418814160522703, -0.07260387085315058, 0.1395528104493988] |
1,802.07676 | Nonlinear stability of source defects in oscillatory media | In this paper, we prove the nonlinear stability under localized perturbations
of spectrally stable time-periodic source defects of reaction-diffusion
systems. Consisting of a core that emits periodic wave trains to each side,
source defects are important as organizing centers of more complicated flows.
Our analysis uses spatial dynamics combined with an instantaneous
phase-tracking technique to obtain detailed pointwise estimates describing
perturbations to lowest order as a phase-shift radiating outward at a linear
rate plus a pair of localized approximately Gaussian excitations along the
phase-shift boundaries; we show that in the wake of these outgoing waves the
perturbed solution converges time-exponentially to a space-time translate of
the original source pattern.
| math.AP math.DS | in this paper we prove the nonlinear stability under localized perturbations of spectrally stable timeperiodic source defects of reactiondiffusion systems consisting of a core that emits periodic wave trains to each side source defects are important as organizing centers of more complicated flows our analysis uses spatial dynamics combined with an instantaneous phasetracking technique to obtain detailed pointwise estimates describing perturbations to lowest order as a phaseshift radiating outward at a linear rate plus a pair of localized approximately gaussian excitations along the phaseshift boundaries we show that in the wake of these outgoing waves the perturbed solution converges timeexponentially to a spacetime translate of the original source pattern | [['in', 'this', 'paper', 'we', 'prove', 'the', 'nonlinear', 'stability', 'under', 'localized', 'perturbations', 'of', 'spectrally', 'stable', 'timeperiodic', 'source', 'defects', 'of', 'reactiondiffusion', 'systems', 'consisting', 'of', 'a', 'core', 'that', 'emits', 'periodic', 'wave', 'trains', 'to', 'each', 'side', 'source', 'defects', 'are', 'important', 'as', 'organizing', 'centers', 'of', 'more', 'complicated', 'flows', 'our', 'analysis', 'uses', 'spatial', 'dynamics', 'combined', 'with', 'an', 'instantaneous', 'phasetracking', 'technique', 'to', 'obtain', 'detailed', 'pointwise', 'estimates', 'describing', 'perturbations', 'to', 'lowest', 'order', 'as', 'a', 'phaseshift', 'radiating', 'outward', 'at', 'a', 'linear', 'rate', 'plus', 'a', 'pair', 'of', 'localized', 'approximately', 'gaussian', 'excitations', 'along', 'the', 'phaseshift', 'boundaries', 'we', 'show', 'that', 'in', 'the', 'wake', 'of', 'these', 'outgoing', 'waves', 'the', 'perturbed', 'solution', 'converges', 'timeexponentially', 'to', 'a', 'spacetime', 'translate', 'of', 'the', 'original', 'source', 'pattern']] | [-0.194203304337592, 0.11872704157778774, -0.08804194859004821, 0.0589122269162477, -0.04993435522515534, -0.12836070692908294, -0.009992278404684772, 0.35537894030481026, -0.28604388549165044, -0.19450956252317322, 0.08571623478955762, -0.30936714273842947, -0.12385315618788202, 0.1675430005416274, -0.011727182660251856, 0.05336609994682712, 0.06965310399903467, 0.04246170913447039, -0.049827506075854656, -0.15238008492074354, 0.3220929770419995, 0.05637389330917762, 0.2689134477189294, -0.03176900032418349, 0.11166174411859915, 0.013466716950966252, -0.005749507927922187, -0.01885510421427036, -0.08778108963896455, 0.11521747285344948, 0.21779715218144702, 0.05149364722914201, 0.26111452074083324, -0.4562848991136653, -0.25520359386724456, 0.050493227606811734, 0.1861999711340845, 0.1710952151096771, -0.06169719098599873, -0.29495507336859766, 0.08215048742756524, -0.11156966634034352, -0.20741984395189556, -0.03180844632529274, 0.02020306574801604, 0.06609494495636749, -0.28456103930215315, 0.11908388645301952, 0.095702540319137, -0.007982633328032939, -0.11297802264905638, -0.023147479915577505, -0.07453778738380168, 0.0997963787306583, 0.0354599476084803, 0.025736560441415618, 0.14307501182688778, -0.07336832454246986, -0.08133539837069327, 0.3361662595567328, -0.11135407680908598, -0.22694482535330784, 0.1860598664799774, -0.11170422191854515, -0.08158330862729431, 0.20375779669524896, 0.21771149637654028, 0.12482837963573358, -0.1474907562488052, 0.0009618491210319378, -0.018623716684992866, 0.23532567552670283, 0.16074553419214985, 0.04072722567555805, 0.24256137084146892, 0.13532218816679367, 0.131945275425635, 0.1967873259499255, -0.09279704204743246, -0.10824043392117515, -0.3223711183656835, -0.07336234745431554, -0.1294938523011903, 0.0540570172297184, -0.06652136520413612, -0.23685567049499326, 0.401302014839732, 0.09874831845431968, 0.18023580288152313, 0.016003851124508032, 0.27955748218422133, 0.13839608029768527, -0.009537456874601991, 0.1177089702838135, 0.19565716336041483, 0.1510035567054594, 0.10938283994241997, -0.21365841612633732, -0.014150547486712673, 0.0641766721813905] |
1,802.07677 | Can Microsoft Academic assess the early citation impact of in-press
articles? A multi-discipline exploratory analysis | Many journals post accepted articles online before they are formally
published in an issue. Early citation impact evidence for these articles could
be helpful for timely research evaluation and to identify potentially important
articles that quickly attract many citations. This article investigates whether
Microsoft Academic can help with this task. For over 65,000 Scopus in-press
articles from 2016 and 2017 across 26 fields, Microsoft Academic found 2-5
times as many citations as Scopus, depending on year and field. From manual
checks of 1,122 Microsoft Academic citations not found in Scopus, Microsoft
Academic's citation indexing was faster but not much wider than Scopus for
journals. It achieved this by associating citations to preprints with their
subsequent in-press versions and by extracting citations from in-press
articles. In some fields its coverage of scholarly digital libraries, such as
arXiv.org, was also an advantage. Thus, Microsoft Academic seems to be a more
comprehensive automatic source of citation counts for in-press articles than
Scopus.
| cs.DL | many journals post accepted articles online before they are formally published in an issue early citation impact evidence for these articles could be helpful for timely research evaluation and to identify potentially important articles that quickly attract many citations this article investigates whether microsoft academic can help with this task for over 65000 scopus inpress articles from 2016 and 2017 across 26 fields microsoft academic found 25 times as many citations as scopus depending on year and field from manual checks of 1122 microsoft academic citations not found in scopus microsoft academics citation indexing was faster but not much wider than scopus for journals it achieved this by associating citations to preprints with their subsequent inpress versions and by extracting citations from inpress articles in some fields its coverage of scholarly digital libraries such as arxivorg was also an advantage thus microsoft academic seems to be a more comprehensive automatic source of citation counts for inpress articles than scopus | [['many', 'journals', 'post', 'accepted', 'articles', 'online', 'before', 'they', 'are', 'formally', 'published', 'in', 'an', 'issue', 'early', 'citation', 'impact', 'evidence', 'for', 'these', 'articles', 'could', 'be', 'helpful', 'for', 'timely', 'research', 'evaluation', 'and', 'to', 'identify', 'potentially', 'important', 'articles', 'that', 'quickly', 'attract', 'many', 'citations', 'this', 'article', 'investigates', 'whether', 'microsoft', 'academic', 'can', 'help', 'with', 'this', 'task', 'for', 'over', '65000', 'scopus', 'inpress', 'articles', 'from', '2016', 'and', '2017', 'across', '26', 'fields', 'microsoft', 'academic', 'found', '25', 'times', 'as', 'many', 'citations', 'as', 'scopus', 'depending', 'on', 'year', 'and', 'field', 'from', 'manual', 'checks', 'of', '1122', 'microsoft', 'academic', 'citations', 'not', 'found', 'in', 'scopus', 'microsoft', 'academics', 'citation', 'indexing', 'was', 'faster', 'but', 'not', 'much', 'wider', 'than', 'scopus', 'for', 'journals', 'it', 'achieved', 'this', 'by', 'associating', 'citations', 'to', 'preprints', 'with', 'their', 'subsequent', 'inpress', 'versions', 'and', 'by', 'extracting', 'citations', 'from', 'inpress', 'articles', 'in', 'some', 'fields', 'its', 'coverage', 'of', 'scholarly', 'digital', 'libraries', 'such', 'as', 'arxivorg', 'was', 'also', 'an', 'advantage', 'thus', 'microsoft', 'academic', 'seems', 'to', 'be', 'a', 'more', 'comprehensive', 'automatic', 'source', 'of', 'citation', 'counts', 'for', 'inpress', 'articles', 'than', 'scopus']] | [-0.009253912205579426, 0.07022769690755573, -0.03135872645883487, 0.13324097459681872, -0.17389976733024437, -0.11654151861596876, 0.12729384444372835, 0.4311906159006106, -0.13995738062603436, -0.42127728333356995, 0.04094097645639928, -0.39233649875851545, -0.08895161205393104, 0.2939621462446781, -0.14835310625952064, -0.024823840157313377, 0.1238625972647419, 0.06004372326973474, 0.025834803238844954, -0.45187890357718624, 0.20267387968048733, 0.10382140134666232, 0.36079194372865436, 0.09059101817895125, -0.0838567456391599, -0.04206895109693631, -0.2552974376411605, 0.01358798027050289, -0.11145343499591481, 0.1284087284866416, 0.4243720898539437, 0.26403551841881007, 0.39177042813444474, -0.34389111140168876, -0.13729382561718892, 0.03913499029359118, 0.1555154670491879, 0.045921600461094024, 0.003976132990422647, -0.37379546272539116, 0.06329219542321479, -0.2823772233861071, 0.037602002504018114, -0.046145724270305354, 0.18706022817773288, 0.03625341887738111, -0.15033668315084944, 0.0497409301125752, -0.021788434194307187, 0.22247373551399735, 0.026945851238754887, -0.17455599895157153, 0.0062534436869066, 0.18767181802951033, 0.1478102904577511, 0.11238184663226956, 0.19496123101445115, -0.15951377330435756, -0.17342266306257662, 0.4034407992595397, -0.00339676471776329, -0.08813481763262981, 0.13090786257020706, -0.04690769473647218, -0.16376080824964265, 0.08000708022447736, 0.20477759468211038, 0.0027538534684352716, -0.2300382169408712, -0.023243775008445454, -0.030579262032629718, 0.2414995090766523, 0.16970656205659862, -0.040695191533802626, 0.2016487130426667, 0.08763718044197878, -0.010628135025182023, 0.08682378179264846, 0.03552372429853762, -0.05088166928112085, -0.15393654020164899, -0.15636734417551812, -0.1435274866866475, 0.06916937347133234, -0.055679177654154435, -0.18435553931074697, 0.4568032043980165, 0.18215580262337466, 0.03704440900060178, -0.02005021896600612, 0.25227675036345637, -0.034349669918341784, 0.11869373432625635, 0.11931230288999062, 0.1608990237723418, -0.020684366874431946, 0.3207257333081274, 0.04901369184595328, 0.10760509220110077, 0.010958735775436807] |
1,802.07678 | On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions | We define a modified covariant Klein-Gordon (KG) equation containing quantum
vacuum contributions arising from the self-interaction of matter with its own
internal kinetic energy. The modified KG equation is exemplified for a variety
of vacuum fields and various properties of the equation are articulated
thereof. Generalized commutation and Energy-Momentum relations are
characterized for a null vacuum-phase scenario of the proposed vacuum field
$\lambda$. Within this limited scenario, a representation theorem is introduced
suggesting that one can equally modify the spacetime structure or momentum
operator in articulating the proposed quantum theory. Such a modified KG
equation is further shown to eliminate infrared and the ultraviolet divergences
in the generalized Klein-Gordon propagator.
| gr-qc | we define a modified covariant kleingordon kg equation containing quantum vacuum contributions arising from the selfinteraction of matter with its own internal kinetic energy the modified kg equation is exemplified for a variety of vacuum fields and various properties of the equation are articulated thereof generalized commutation and energymomentum relations are characterized for a null vacuumphase scenario of the proposed vacuum field lambda within this limited scenario a representation theorem is introduced suggesting that one can equally modify the spacetime structure or momentum operator in articulating the proposed quantum theory such a modified kg equation is further shown to eliminate infrared and the ultraviolet divergences in the generalized kleingordon propagator | [['we', 'define', 'a', 'modified', 'covariant', 'kleingordon', 'kg', 'equation', 'containing', 'quantum', 'vacuum', 'contributions', 'arising', 'from', 'the', 'selfinteraction', 'of', 'matter', 'with', 'its', 'own', 'internal', 'kinetic', 'energy', 'the', 'modified', 'kg', 'equation', 'is', 'exemplified', 'for', 'a', 'variety', 'of', 'vacuum', 'fields', 'and', 'various', 'properties', 'of', 'the', 'equation', 'are', 'articulated', 'thereof', 'generalized', 'commutation', 'and', 'energymomentum', 'relations', 'are', 'characterized', 'for', 'a', 'null', 'vacuumphase', 'scenario', 'of', 'the', 'proposed', 'vacuum', 'field', 'lambda', 'within', 'this', 'limited', 'scenario', 'a', 'representation', 'theorem', 'is', 'introduced', 'suggesting', 'that', 'one', 'can', 'equally', 'modify', 'the', 'spacetime', 'structure', 'or', 'momentum', 'operator', 'in', 'articulating', 'the', 'proposed', 'quantum', 'theory', 'such', 'a', 'modified', 'kg', 'equation', 'is', 'further', 'shown', 'to', 'eliminate', 'infrared', 'and', 'the', 'ultraviolet', 'divergences', 'in', 'the', 'generalized', 'kleingordon', 'propagator']] | [-0.13619108453559595, 0.17324601010410884, -0.12861934006043257, 0.12157130964450674, -0.13028238722499152, -0.12635435043500926, -0.06417988244884161, 0.2800171212335929, -0.2537275122290631, -0.2935836386157695, 0.00521783486495666, -0.2701520753699705, -0.13668475438169964, 0.14243866190092141, -0.031127950742652795, 0.030711361189445462, 0.006889346371823495, 0.08244240664612126, -0.08818370544078222, -0.2097353595501205, 0.3497246224240938, 0.03658394835175895, 0.24848866028019115, 0.026498914179349436, 0.17682037425629044, 0.004451116099483718, -0.01967305139373612, 0.027563150880277294, -0.11649177737867539, 0.07233148352793042, 0.19284745902592026, 0.09961988372779494, 0.2322862124994505, -0.4166159913661556, -0.24040562537319343, 0.090260093066192, 0.09655338247443353, 0.11056473157411321, -0.0571639608173127, -0.32448875001811106, 0.05324290201085013, -0.20365303388899278, -0.1985114949986065, -0.06962415077851726, -0.036998486017099146, -0.036608121614185495, -0.251235655562871, 0.10363159983188187, 0.02467473494337547, -0.02423543536847611, -0.12403506591783649, -0.10342380184458073, -0.04082438592059931, 0.0071436374965166555, 0.037738443174988985, 0.0031840850774267123, 0.13763966885537662, -0.17704962337295602, -0.0809106072752711, 0.4023545372274217, -0.08548797344908528, -0.2677149843988479, 0.11049209795721354, -0.10205339654904166, -0.08244364683883726, 0.10517745051498807, 0.09407317252571208, 0.12396942416164348, -0.1824743677739165, 0.19162270764942033, -0.012173830671449525, 0.12160583944358958, 0.11213488429314841, 0.06476360389005838, 0.2146920913001608, 0.07235959650726494, -0.006962861946929212, 0.12628675690091667, -0.013736424126038585, -0.1528955245168384, -0.36751899265026283, -0.16723900431459512, -0.16097654844420628, 0.08989926029013795, -0.10834018731825673, -0.17804671000820635, 0.34762494713751546, 0.12329212348072986, 0.09509887843480368, -0.013507045429507527, 0.25104818361546466, 0.17604392592649942, 0.08743178504818214, 0.04511099527889025, 0.25566420126108264, 0.20471945959527832, 0.10576138889669108, -0.23931111951375705, -0.07353733217881975, 0.1046153755106647] |
1,802.07679 | The STELLA Apparatus for Particle-Gamma Coincidence Fusion Measurements
with Nanosecond Timing | The STELLA (STELlar LAboratory) experimental station for the measurement of
deep sub-barrier light heavy-ion fusion cross sections has been installed at
the Androm\`{e}de accelerator at the Institut de Physique Nucl\'{e}aire, Orsay
(France). The setup is designed for the direct experimental determination of
heavy-ion fusion cross sections as low as tens of picobarn. The detection
concept is based on the coincident measurement of emitted gamma rays with the
UK FATIMA (FAst TIMing Array) and evaporated charged particles using a silicon
detector array. Key developments relevant to reaching the extreme sub-barrier
fusion region are a rotating target mechanism to sustain beam intensities above
10$\mu$A, an ultra-high vacuum to prevent carbon built-up and gamma
charged-particle timing in the order of nanoseconds sufficient to separate
proton and alpha particles.
| physics.ins-det | the stella stellar laboratory experimental station for the measurement of deep subbarrier light heavyion fusion cross sections has been installed at the andromede accelerator at the institut de physique nucleaire orsay france the setup is designed for the direct experimental determination of heavyion fusion cross sections as low as tens of picobarn the detection concept is based on the coincident measurement of emitted gamma rays with the uk fatima fast timing array and evaporated charged particles using a silicon detector array key developments relevant to reaching the extreme subbarrier fusion region are a rotating target mechanism to sustain beam intensities above 10mua an ultrahigh vacuum to prevent carbon builtup and gamma chargedparticle timing in the order of nanoseconds sufficient to separate proton and alpha particles | [['the', 'stella', 'stellar', 'laboratory', 'experimental', 'station', 'for', 'the', 'measurement', 'of', 'deep', 'subbarrier', 'light', 'heavyion', 'fusion', 'cross', 'sections', 'has', 'been', 'installed', 'at', 'the', 'andromede', 'accelerator', 'at', 'the', 'institut', 'de', 'physique', 'nucleaire', 'orsay', 'france', 'the', 'setup', 'is', 'designed', 'for', 'the', 'direct', 'experimental', 'determination', 'of', 'heavyion', 'fusion', 'cross', 'sections', 'as', 'low', 'as', 'tens', 'of', 'picobarn', 'the', 'detection', 'concept', 'is', 'based', 'on', 'the', 'coincident', 'measurement', 'of', 'emitted', 'gamma', 'rays', 'with', 'the', 'uk', 'fatima', 'fast', 'timing', 'array', 'and', 'evaporated', 'charged', 'particles', 'using', 'a', 'silicon', 'detector', 'array', 'key', 'developments', 'relevant', 'to', 'reaching', 'the', 'extreme', 'subbarrier', 'fusion', 'region', 'are', 'a', 'rotating', 'target', 'mechanism', 'to', 'sustain', 'beam', 'intensities', 'above', '10mua', 'an', 'ultrahigh', 'vacuum', 'to', 'prevent', 'carbon', 'builtup', 'and', 'gamma', 'chargedparticle', 'timing', 'in', 'the', 'order', 'of', 'nanoseconds', 'sufficient', 'to', 'separate', 'proton', 'and', 'alpha', 'particles']] | [-0.05014276529916308, 0.22417739987835647, -0.06849956233439243, 0.051739322459123153, -0.016763540933462828, -0.13217002096584005, -0.03340832122855566, 0.37292727766450773, -0.17998444444061187, -0.33025675628734524, 0.03340324550416813, -0.3368912284793563, 0.06620709273256054, 0.21758485097661306, 0.01830096217425548, 0.1053280820300387, 0.11879793848950139, 0.016659554027690558, 0.004873753071200749, -0.15838159564574641, 0.23784688030454246, 0.26234935448059526, 0.3262407750676363, 0.12906198762357235, 0.17597536927412363, 0.026903835298447323, -0.031353958880467235, -0.1009641751773994, -0.10802150650569507, 0.06441387933994497, 0.3364462959714819, 0.09204634309992625, 0.15939192998430823, -0.4491808043392606, -0.15083502476249844, 0.11178437511875364, 0.1065095269875524, 0.05333841802775552, -0.09496879352984011, -0.3145510117977488, 0.06675547270550708, -0.21193565708615872, -0.14476148517078852, 0.02697526074634203, 0.0030452072628088726, 0.0450842110824979, -0.2505265830050046, -0.02073694000882674, -0.056091101556315956, 0.04590051101659201, -0.06788647699305472, -0.15372627882733325, 0.027252642056820067, 0.06148942779703451, 0.010560932320981356, 0.03568210825131637, 0.2665301232852719, -0.10362459447481169, -0.08152604815819539, 0.3334065634480193, -0.02302868105567345, -0.03821151105933322, 0.16087202606568776, -0.2245180998074491, -0.12298965334992333, 0.22526444709467247, 0.23832654407294082, 0.1351940672659923, -0.1651598448203184, 0.0283943430781807, 0.027646135492635168, 0.13652575039112372, 0.17456818691046894, 0.008780093590367185, 0.2519021554241988, 0.24839550128960905, 0.008682439735347852, 0.043124208534194144, -0.2548311730165589, -0.034015451598342905, -0.3509612227366729, -0.10572540830081899, -0.0866672447921077, 0.031932915172208684, 0.009731629272284995, -0.08854129516003915, 0.3238527053228218, 0.06853021455405295, 0.17725440907707699, -0.06197085198061156, 0.3276966944998823, 0.04318056765256819, 0.07137938979859194, -0.0008162255745288754, 0.32360299741021886, 0.17301964689977467, 0.1897079496536681, -0.22785256107237714, 0.0389306413448485, 0.0496359969092887] |
1,802.0768 | Gravitational lensing by wormholes supported by electromagnetic, scalar,
and quantum effects | Wormholes are one of the most interesting topological features in spacetime,
offering a rat run between two vastly separated regions of the universe. In
this paper, we study the deflection angle of light by wormholes, which are
supported by electric charge, magnetic charge, and scalar fields in the weak
field limit approximation. To this end, we apply new geometric methods -- the
Gauss-Bonnet theorem and the optical geometry -- to compute the deflection
angles. We also verify our findings by using the well-known geodesics method.
There exists a similarity between the charge and the quantum corrections on a
black hole solution, which has been recently discussed in the context of the
relativistic Bohmian quantum mechanics. By replacing classical geodesics with
Bohmian trajectories, we introduce a new wormhole solution, whose having matter
sources and anisotropic pressure supported by Bohmian quantum effects. The
problem of fulfillment of the energy conditions of the Morris-Thorne
traversable wormhole is also discussed.
| gr-qc | wormholes are one of the most interesting topological features in spacetime offering a rat run between two vastly separated regions of the universe in this paper we study the deflection angle of light by wormholes which are supported by electric charge magnetic charge and scalar fields in the weak field limit approximation to this end we apply new geometric methods the gaussbonnet theorem and the optical geometry to compute the deflection angles we also verify our findings by using the wellknown geodesics method there exists a similarity between the charge and the quantum corrections on a black hole solution which has been recently discussed in the context of the relativistic bohmian quantum mechanics by replacing classical geodesics with bohmian trajectories we introduce a new wormhole solution whose having matter sources and anisotropic pressure supported by bohmian quantum effects the problem of fulfillment of the energy conditions of the morristhorne traversable wormhole is also discussed | [['wormholes', 'are', 'one', 'of', 'the', 'most', 'interesting', 'topological', 'features', 'in', 'spacetime', 'offering', 'a', 'rat', 'run', 'between', 'two', 'vastly', 'separated', 'regions', 'of', 'the', 'universe', 'in', 'this', 'paper', 'we', 'study', 'the', 'deflection', 'angle', 'of', 'light', 'by', 'wormholes', 'which', 'are', 'supported', 'by', 'electric', 'charge', 'magnetic', 'charge', 'and', 'scalar', 'fields', 'in', 'the', 'weak', 'field', 'limit', 'approximation', 'to', 'this', 'end', 'we', 'apply', 'new', 'geometric', 'methods', 'the', 'gaussbonnet', 'theorem', 'and', 'the', 'optical', 'geometry', 'to', 'compute', 'the', 'deflection', 'angles', 'we', 'also', 'verify', 'our', 'findings', 'by', 'using', 'the', 'wellknown', 'geodesics', 'method', 'there', 'exists', 'a', 'similarity', 'between', 'the', 'charge', 'and', 'the', 'quantum', 'corrections', 'on', 'a', 'black', 'hole', 'solution', 'which', 'has', 'been', 'recently', 'discussed', 'in', 'the', 'context', 'of', 'the', 'relativistic', 'bohmian', 'quantum', 'mechanics', 'by', 'replacing', 'classical', 'geodesics', 'with', 'bohmian', 'trajectories', 'we', 'introduce', 'a', 'new', 'wormhole', 'solution', 'whose', 'having', 'matter', 'sources', 'and', 'anisotropic', 'pressure', 'supported', 'by', 'bohmian', 'quantum', 'effects', 'the', 'problem', 'of', 'fulfillment', 'of', 'the', 'energy', 'conditions', 'of', 'the', 'morristhorne', 'traversable', 'wormhole', 'is', 'also', 'discussed']] | [-0.16526429883397922, 0.11931663411729909, -0.12979367863713437, 0.0912936211332328, -0.06476708163972944, -0.14325186414886024, 0.002460296797965254, 0.33289641150358046, -0.20790250917863368, -0.28951105707349234, 0.024934933043853077, -0.28672348562168415, -0.14150681035810864, 0.18430251125004385, -0.05190642816377441, 0.05783927354843706, 0.004395397262067184, 4.356474216495242e-05, -0.06512555593092527, -0.19392187223171017, 0.39462411170220607, 0.051944882241561526, 0.26412078220542373, 0.06275445449713303, 0.09878320138834949, -0.009868438257352001, 0.006415080362265664, 0.09474626412107186, -0.17498371040285263, 0.10238352799470621, 0.18865434325741628, 0.10520386276615469, 0.22794004408763602, -0.4330178444431006, -0.23028503081386353, 0.08330995994680501, 0.11588167876319645, 0.14639158422345078, -0.12658802358140298, -0.3456957371022504, 0.060421740990011144, -0.15375128059720547, -0.18396184941021992, -0.05279770390094294, 0.02991171204258216, 0.009748331254859176, -0.17303727601364546, 0.07761205702849253, 0.03788934102850398, -0.004754334379761637, -0.07086464894675444, -0.02407086372085206, 0.00016900878429848266, 0.0689534300517944, 0.12772721122774935, 0.016900162416655425, 0.1451595279950552, -0.12386182544438483, -0.14261459685671565, 0.3853331326761029, -0.04218726008283821, -0.23945630993089312, 0.13085111570484065, -0.16705029845455444, -0.07330189294532521, 0.08835497562162724, 0.10374189005535725, 0.16706897867480655, -0.15441290326658394, 0.13441665212520967, -0.016955428542085475, 0.1042779510018307, 0.13140990909237366, 0.05056919912843929, 0.2939611693432966, 0.08942072114048454, 0.02668162108423164, 0.14300798537366866, -0.07861028666390324, -0.13153790499615883, -0.3553714449600583, -0.1840236904069346, -0.17870144158081672, 0.05743900354189629, -0.13423605354211002, -0.1659239340575817, 0.3858104488425344, 0.14298258879026943, 0.13629587465147305, -0.013766558598212946, 0.29212283767236685, 0.08702626621559287, 0.015894481706638614, 0.10229099340821532, 0.3325818732831409, 0.15419753753223348, 0.14314932877488143, -0.20641712622955902, -0.02213626716273849, 0.08952115597384801] |
1,802.07681 | Quantum heat engine based on level degeneracy | We study a quantum Stirling cycle which extracts work using quantized energy
levels of a potential well. The work and the efficiency of the engine depend on
the length of the potential well, and the Carnot efficiency is approached in a
low temperature limiting case. We show that the lack of information about the
position of the particle inside the potential well can be converted into useful
work without resorting to any measurement. In the low temperature limit, we
calculate the amount of work extractable from distinguishable particles,
fermions, and bosons.
| quant-ph cond-mat.stat-mech | we study a quantum stirling cycle which extracts work using quantized energy levels of a potential well the work and the efficiency of the engine depend on the length of the potential well and the carnot efficiency is approached in a low temperature limiting case we show that the lack of information about the position of the particle inside the potential well can be converted into useful work without resorting to any measurement in the low temperature limit we calculate the amount of work extractable from distinguishable particles fermions and bosons | [['we', 'study', 'a', 'quantum', 'stirling', 'cycle', 'which', 'extracts', 'work', 'using', 'quantized', 'energy', 'levels', 'of', 'a', 'potential', 'well', 'the', 'work', 'and', 'the', 'efficiency', 'of', 'the', 'engine', 'depend', 'on', 'the', 'length', 'of', 'the', 'potential', 'well', 'and', 'the', 'carnot', 'efficiency', 'is', 'approached', 'in', 'a', 'low', 'temperature', 'limiting', 'case', 'we', 'show', 'that', 'the', 'lack', 'of', 'information', 'about', 'the', 'position', 'of', 'the', 'particle', 'inside', 'the', 'potential', 'well', 'can', 'be', 'converted', 'into', 'useful', 'work', 'without', 'resorting', 'to', 'any', 'measurement', 'in', 'the', 'low', 'temperature', 'limit', 'we', 'calculate', 'the', 'amount', 'of', 'work', 'extractable', 'from', 'distinguishable', 'particles', 'fermions', 'and', 'bosons']] | [-0.08422422055973784, 0.16161790675391535, -0.0561709684411903, 0.04240922133085205, -0.034598053069682895, -0.09051636009282626, 0.10756395234992462, 0.309370210905979, -0.24859263908609255, -0.34299714570598944, 0.06743528306801486, -0.2851962465690551, -0.08004871497421966, 0.2129201947232954, -0.04685482936962457, 0.029659124551811716, 0.055948128775376214, 0.09042159250968106, -0.048109333376287595, -0.19466421747283374, 0.29672033079275556, 0.1202422957138189, 0.28757160098629664, 0.12805970204011588, 0.1102265310013196, 0.014818652343659937, 0.008184439702225583, 0.038697633175895765, -0.11738645495978954, 0.09107509359799243, 0.19087303773459088, 0.07889488979580474, 0.2137606921349908, -0.4176917666630758, -0.2234043853285794, 0.1488900602805418, 0.1438423901045398, 0.1361595091581406, -0.04346464612843612, -0.24535858082318945, 0.05352164407844072, -0.17146500259392208, -0.1189681753864164, -0.057541105952523236, -0.048236406879028776, 0.040650587546854064, -0.21149772721864693, 0.09691741257639867, 0.10152565981939456, 0.048012889542995575, -0.060361904388928155, -0.09269127299865851, -0.016697846544947433, 0.15871636337692757, 0.02091509758259405, -0.003648777189152827, 0.19046064974371713, -0.16165621528545251, -0.08518349401304846, 0.4081266761481107, -0.09930600801861467, -0.18603800245366253, 0.17131237089531598, -0.1574202596598847, -0.09196164697961329, 0.08573714475874063, 0.16425517833648393, 0.143299301431238, -0.12053144640279012, 0.08225262369116215, 0.01359784742305567, 0.18445486092305446, 0.076038654120946, 0.06592703343031335, 0.24576069271335235, 0.1578489336502421, 0.026170258774872418, 0.18772710698968884, -0.09086299165418106, -0.09954275643442767, -0.31123075808224443, -0.23279836941715126, -0.2600137565187741, 0.06919815445543973, -0.07256089682530248, -0.09780528746381566, 0.41365957402388803, 0.17964626641452805, 0.2283684934264274, 0.029327321085045217, 0.30030653320744144, 0.188827041940825, 0.06595487302235727, 0.0850249311047514, 0.25177407527219625, 0.1168380828924825, 0.10736633958499674, -0.24166511837137186, 0.016484427045785136, 0.0366121086363609] |
1,802.07682 | Stability and error analysis of an implicit Milstein finite difference
scheme for a two-dimensional Zakai SPDE | In this article, we propose an implicit finite difference scheme for a
two-dimensional parabolic stochastic partial differential equation (SPDE) of
Zakai type. The scheme is based on a Milstein approximation to the stochastic
integral and an alternating direction implicit (ADI) discretisation of the
elliptic term. We prove its mean-square stability and convergence in L2 of
first order in time and second order in space, by Fourier analysis, in the
presence of Dirac initial data. Numerical tests confirm these findings
empirically.
| math.NA | in this article we propose an implicit finite difference scheme for a twodimensional parabolic stochastic partial differential equation spde of zakai type the scheme is based on a milstein approximation to the stochastic integral and an alternating direction implicit adi discretisation of the elliptic term we prove its meansquare stability and convergence in l2 of first order in time and second order in space by fourier analysis in the presence of dirac initial data numerical tests confirm these findings empirically | [['in', 'this', 'article', 'we', 'propose', 'an', 'implicit', 'finite', 'difference', 'scheme', 'for', 'a', 'twodimensional', 'parabolic', 'stochastic', 'partial', 'differential', 'equation', 'spde', 'of', 'zakai', 'type', 'the', 'scheme', 'is', 'based', 'on', 'a', 'milstein', 'approximation', 'to', 'the', 'stochastic', 'integral', 'and', 'an', 'alternating', 'direction', 'implicit', 'adi', 'discretisation', 'of', 'the', 'elliptic', 'term', 'we', 'prove', 'its', 'meansquare', 'stability', 'and', 'convergence', 'in', 'l2', 'of', 'first', 'order', 'in', 'time', 'and', 'second', 'order', 'in', 'space', 'by', 'fourier', 'analysis', 'in', 'the', 'presence', 'of', 'dirac', 'initial', 'data', 'numerical', 'tests', 'confirm', 'these', 'findings', 'empirically']] | [-0.1707183231948875, -0.027079674650667584, -0.12363151716126594, 0.06111676061991602, -0.09924654026981443, -0.06623053406656254, 0.024173743941355498, 0.35309990000678226, -0.333069069031626, -0.24267915268719661, 0.14056369491008808, -0.2491173613234423, -0.14413832407444715, 0.17084219149546698, -0.08236364522017539, 0.11410454714132356, 0.047341037599835545, -0.01398855159059167, -0.12513651240151374, -0.28451699141878634, 0.35041096054483206, -0.012282509240321815, 0.2514454027899774, -0.010491786117199808, 0.17966102847276488, -0.02145893024280667, -0.0891934378480073, -0.01662197124132945, -0.1413316522957757, 0.10953765568265225, 0.2277295986423269, -0.028017888564500028, 0.3524567958898842, -0.4164497723802924, -0.17684237860376015, 0.06358646400040016, 0.17623227510994183, 0.10398243542294949, -0.08927092281955992, -0.29249075008556247, 0.0783321765891742, -0.15504183286102488, -0.1672117081528995, -0.1164173196972115, -0.03322424541402143, 0.10121533945857664, -0.3113724079346866, 0.1432265591211035, 0.10664471667259931, 0.06306519295612815, -0.08826079428690718, -0.07894398627104238, 0.029944256827002393, 0.003016398922773078, 0.054929863350116646, -0.008579772291705012, -0.025465653464198112, -0.04430941957689356, -0.12995566404424608, 0.3342953978572041, -0.15649951050800154, -0.2991432844661176, 0.10502122140314896, -0.13523745983256957, -0.11093052375945263, 0.14816818651743233, 0.2101567233679816, 0.1761023774626665, -0.13790143466321753, 0.10210813334924751, -0.04045241068815812, 0.16580057677347212, 0.028022415866144002, -0.04361740640597418, 0.013456323510035872, 0.1752289654337801, 0.15816829295363277, 0.09222332176286727, -0.10734820374345873, -0.15668369668128435, -0.37556381614413115, -0.2191596855642274, -0.15483881311956793, 0.011441090384323616, -0.13340506396325508, -0.16294043252710252, 0.36254272502001184, 0.15264354662504048, 0.11440561695490033, 0.061692938453052196, 0.3145329904276878, 0.22302020116476343, -0.05317721036844887, 0.05899731794888794, 0.1810933417873457, 0.1683392817416461, 0.1486759402003372, -0.3040041149684839, 0.05860695568262599, 0.22164404439972712] |
1,802.07683 | Data Deluge in Astrophysics: Photometric Redshifts as a Template Use
Case | Astronomy has entered the big data era and Machine Learning based methods
have found widespread use in a large variety of astronomical applications. This
is demonstrated by the recent huge increase in the number of publications
making use of this new approach. The usage of machine learning methods, however
is still far from trivial and many problems still need to be solved. Using the
evaluation of photometric redshifts as a case study, we outline the main
problems and some ongoing efforts to solve them.
| astro-ph.IM | astronomy has entered the big data era and machine learning based methods have found widespread use in a large variety of astronomical applications this is demonstrated by the recent huge increase in the number of publications making use of this new approach the usage of machine learning methods however is still far from trivial and many problems still need to be solved using the evaluation of photometric redshifts as a case study we outline the main problems and some ongoing efforts to solve them | [['astronomy', 'has', 'entered', 'the', 'big', 'data', 'era', 'and', 'machine', 'learning', 'based', 'methods', 'have', 'found', 'widespread', 'use', 'in', 'a', 'large', 'variety', 'of', 'astronomical', 'applications', 'this', 'is', 'demonstrated', 'by', 'the', 'recent', 'huge', 'increase', 'in', 'the', 'number', 'of', 'publications', 'making', 'use', 'of', 'this', 'new', 'approach', 'the', 'usage', 'of', 'machine', 'learning', 'methods', 'however', 'is', 'still', 'far', 'from', 'trivial', 'and', 'many', 'problems', 'still', 'need', 'to', 'be', 'solved', 'using', 'the', 'evaluation', 'of', 'photometric', 'redshifts', 'as', 'a', 'case', 'study', 'we', 'outline', 'the', 'main', 'problems', 'and', 'some', 'ongoing', 'efforts', 'to', 'solve', 'them']] | [-0.036137308509621234, 0.03230908508634284, -0.06738521067780398, 0.060325032604547836, -0.15586786691675938, -0.11019024706356936, 0.030932992896331207, 0.38127308521818903, -0.27332194961075273, -0.35542344244285706, 0.18190775308591714, -0.2670247119053134, -0.16294022869052632, 0.28756185680893914, -0.10894812701181286, 0.09935693170077034, 0.14668633711213866, -0.009569246621270264, -0.06344388781248458, -0.3146887485691834, 0.3051735477610713, 0.035186000345718296, 0.3070797080484529, 0.05693642323881033, 0.07756391385642235, -0.039606265136085096, -0.1017626275618871, 0.005697715007478283, -0.10737855781778871, 0.1781509648412577, 0.3587078562621692, 0.23385999848445257, 0.4032008817330712, -0.40343795016053174, -0.24007003662353826, 0.13645154134082121, 0.17324233617234444, 0.14185347511166974, -0.10616933692584835, -0.265568721182977, 0.0654684052846971, -0.19373815433521355, -0.10306651740046661, -0.12110815889069013, 0.029810249361963498, 0.0042700323046162905, -0.167199635922554, -0.0008677950494789652, -0.008393468945065425, 0.10752124418615408, -0.01574959506702033, -0.12634117549861826, 0.10186306053462128, 0.14197290371105606, 0.11111443111509461, 0.06896457736591055, 0.08060730812472425, -0.19294541462745873, -0.13951640456382716, 0.41044897167012095, -0.009588281302491114, -0.09009205563259977, 0.22356484420847014, -0.07215852110225353, -0.20219271186007454, 0.0933674421782295, 0.20348627503734038, 0.11378320228929321, -0.16364094446457567, 0.12227062269881744, 0.018311652476854977, 0.14536219289792435, 0.01836792130156287, -0.008549924973132355, 0.20958161269802422, 0.2132374567611675, 0.021623567405705608, 0.10538337439426132, -0.08464165766747014, -0.06325555993022308, -0.20951999670692853, -0.13336908275128476, -0.2023994631544199, 0.02744956588416937, -0.025167887303680237, -0.14202649917985713, 0.33767164245641434, 0.22613047622698582, 0.18053716132583628, -0.0017258080742543651, 0.3515967233549981, 0.06403536752969514, 0.127836094640467, 0.08181512440066963, 0.25239694251719075, 0.07931398585095026, 0.1652002288333495, -0.13540030246145934, 0.06378679160566424, -0.027078841463662684] |
1,802.07684 | Multiscale finite elements through advection-induced coordinates for
transient advection-diffusion equations | Long simulation times in climate sciences typically require coarse grids due
to computational constraints. Nonetheless, unresolved subscale information
significantly influences the prognostic variables and can not be neglected for
reliable long term simulations. This is typically done via parametrizations but
their coupling to the coarse grid variables often involves simple heuristics.
We explore a novel up-scaling approach inspired by multi-scale finite element
methods. These methods are well established in porous media applications, where
mostly stationary or quasi stationary situations prevail. In
advection-dominated problems arising in climate simulations the approach needs
to be adjusted. We do so by performing coordinate transforms that make the
effect of transport milder in the vicinity of coarse element boundaries. The
idea of our method is quite general and we demonstrate it as a proof-of-concept
on a one-dimensional passive advection-diffusion equation with oscillatory
background velocity and diffusion.
| math.NA cs.DS physics.comp-ph | long simulation times in climate sciences typically require coarse grids due to computational constraints nonetheless unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable long term simulations this is typically done via parametrizations but their coupling to the coarse grid variables often involves simple heuristics we explore a novel upscaling approach inspired by multiscale finite element methods these methods are well established in porous media applications where mostly stationary or quasi stationary situations prevail in advectiondominated problems arising in climate simulations the approach needs to be adjusted we do so by performing coordinate transforms that make the effect of transport milder in the vicinity of coarse element boundaries the idea of our method is quite general and we demonstrate it as a proofofconcept on a onedimensional passive advectiondiffusion equation with oscillatory background velocity and diffusion | [['long', 'simulation', 'times', 'in', 'climate', 'sciences', 'typically', 'require', 'coarse', 'grids', 'due', 'to', 'computational', 'constraints', 'nonetheless', 'unresolved', 'subscale', 'information', 'significantly', 'influences', 'the', 'prognostic', 'variables', 'and', 'can', 'not', 'be', 'neglected', 'for', 'reliable', 'long', 'term', 'simulations', 'this', 'is', 'typically', 'done', 'via', 'parametrizations', 'but', 'their', 'coupling', 'to', 'the', 'coarse', 'grid', 'variables', 'often', 'involves', 'simple', 'heuristics', 'we', 'explore', 'a', 'novel', 'upscaling', 'approach', 'inspired', 'by', 'multiscale', 'finite', 'element', 'methods', 'these', 'methods', 'are', 'well', 'established', 'in', 'porous', 'media', 'applications', 'where', 'mostly', 'stationary', 'or', 'quasi', 'stationary', 'situations', 'prevail', 'in', 'advectiondominated', 'problems', 'arising', 'in', 'climate', 'simulations', 'the', 'approach', 'needs', 'to', 'be', 'adjusted', 'we', 'do', 'so', 'by', 'performing', 'coordinate', 'transforms', 'that', 'make', 'the', 'effect', 'of', 'transport', 'milder', 'in', 'the', 'vicinity', 'of', 'coarse', 'element', 'boundaries', 'the', 'idea', 'of', 'our', 'method', 'is', 'quite', 'general', 'and', 'we', 'demonstrate', 'it', 'as', 'a', 'proofofconcept', 'on', 'a', 'onedimensional', 'passive', 'advectiondiffusion', 'equation', 'with', 'oscillatory', 'background', 'velocity', 'and', 'diffusion']] | [-0.0741921521497045, 0.11148823394707622, -0.09919758799571729, 0.08214606471105433, -0.08967115915981484, -0.1447337273713069, 0.018397967212219188, 0.4083850227613398, -0.30529186973704936, -0.2980715976961961, 0.13634881716971253, -0.20620285979875014, -0.16265030755621798, 0.19818942374442472, -0.08512397774277215, 0.0815696906569209, 0.08811743472247048, -0.04996347287339522, -0.05082896478839073, -0.21955831233636602, 0.27716868576851295, 0.04510173862073438, 0.277400390595092, 0.022136185674908312, 0.10151267174882352, -0.04797277239263586, -0.08910229517781038, 0.07590464987058906, -0.11752104045393263, 0.06855895423416233, 0.2697563897983455, 0.058947329838753594, 0.3066808802742079, -0.4970381743941747, -0.3041446196139916, 0.08773158929733467, 0.1749723867784875, 0.13384502029033207, -0.021347435386950508, -0.24502295244267172, 0.038390923089988475, -0.15119086690114955, -0.12537241156430953, -0.1193849233339098, -0.02083424919661372, 0.034817217426467026, -0.29842417930906756, 0.12409943917680347, 0.03350819135497569, 0.07232069635618452, -0.03682020082508366, -0.10288727111331722, 0.0048442140588180185, 0.11010045279808184, 0.05807135676377261, -0.025749817772121136, 0.15867637253716482, -0.10560899364748798, -0.055102342584480844, 0.41561552707819227, -0.04877227647329106, -0.27416134323819097, 0.2345342118844575, -0.09603436682736567, -0.1172477534958921, 0.12555965561550175, 0.19320550317882645, 0.15658493186446262, -0.1577063878397094, 0.06938363576897401, -0.008845121005272611, 0.1740208280894902, 0.019394270874269252, -0.02011723448200389, 0.17263014694173814, 0.18907443036701768, 0.06041486088206318, 0.05690886493910976, -0.0462900928274484, -0.152897761434528, -0.24731374253578325, -0.09357107924099298, -0.17626489951863145, 0.04629819542477122, -0.09960503301532454, -0.2035563936992053, 0.32848288306424805, 0.186311576214903, 0.15693016461772077, 0.002881774523605903, 0.32672266845743286, 0.10669840319025997, 0.05819193367472295, 0.0941668909673863, 0.2091572399627655, 0.09096318290152765, 0.14338007112733808, -0.2075622258749163, 0.08645934967410004, 0.09407242441364953] |
1,802.07685 | Non-equilibrium Solute Capture in Passivating Oxide Films | If all humans vanished tomorrow, almost every metal structure would collapse within a century or less, the metal converting to an oxide. In applications ranging from the mature technology of nuts and bolts to high technology batteries, nuclear fuels and turbine engines, protective oxide films are critical to limiting oxidation. To date models of these oxide films have assumed that they form thermodynamic equilibrium stable or metastable phases doped within thermodynamic solubility limits. Here we demonstrate experimentally and theoretically the formation of unusual non-equilibrium oxide phases, that can be predicted using a scientific framework for solute capture at a moving oxide/substrate interface. The theory shows that solute capture is likely a generic process for many electrochemical processes, and suggests that similar phenomena yielding non-equilibrium phases can occur and be predicted for a wide range of other processes involving solid-fluid and solid-solid chemical reactions. | cond-mat.mtrl-sci | if all humans vanished tomorrow almost every metal structure would collapse within a century or less the metal converting to an oxide in applications ranging from the mature technology of nuts and bolts to high technology batteries nuclear fuels and turbine engines protective oxide films are critical to limiting oxidation to date models of these oxide films have assumed that they form thermodynamic equilibrium stable or metastable phases doped within thermodynamic solubility limits here we demonstrate experimentally and theoretically the formation of unusual nonequilibrium oxide phases that can be predicted using a scientific framework for solute capture at a moving oxidesubstrate interface the theory shows that solute capture is likely a generic process for many electrochemical processes and suggests that similar phenomena yielding nonequilibrium phases can occur and be predicted for a wide range of other processes involving solidfluid and solidsolid chemical reactions | [['if', 'all', 'humans', 'vanished', 'tomorrow', 'almost', 'every', 'metal', 'structure', 'would', 'collapse', 'within', 'a', 'century', 'or', 'less', 'the', 'metal', 'converting', 'to', 'an', 'oxide', 'in', 'applications', 'ranging', 'from', 'the', 'mature', 'technology', 'of', 'nuts', 'and', 'bolts', 'to', 'high', 'technology', 'batteries', 'nuclear', 'fuels', 'and', 'turbine', 'engines', 'protective', 'oxide', 'films', 'are', 'critical', 'to', 'limiting', 'oxidation', 'to', 'date', 'models', 'of', 'these', 'oxide', 'films', 'have', 'assumed', 'that', 'they', 'form', 'thermodynamic', 'equilibrium', 'stable', 'or', 'metastable', 'phases', 'doped', 'within', 'thermodynamic', 'solubility', 'limits', 'here', 'we', 'demonstrate', 'experimentally', 'and', 'theoretically', 'the', 'formation', 'of', 'unusual', 'nonequilibrium', 'oxide', 'phases', 'that', 'can', 'be', 'predicted', 'using', 'a', 'scientific', 'framework', 'for', 'solute', 'capture', 'at', 'a', 'moving', 'oxidesubstrate', 'interface', 'the', 'theory', 'shows', 'that', 'solute', 'capture', 'is', 'likely', 'a', 'generic', 'process', 'for', 'many', 'electrochemical', 'processes', 'and', 'suggests', 'that', 'similar', 'phenomena', 'yielding', 'nonequilibrium', 'phases', 'can', 'occur', 'and', 'be', 'predicted', 'for', 'a', 'wide', 'range', 'of', 'other', 'processes', 'involving', 'solidfluid', 'and', 'solidsolid', 'chemical', 'reactions']] | [-0.059476904725183695, 0.20562442278985055, -0.07626288564622395, 0.04384693447597053, 0.004337725009847904, -0.18249239056358035, 0.09328290053071868, 0.392359788132779, -0.26107332119587023, -0.2938551998920214, 0.04582249687764872, -0.3030256057669684, -0.1342040669159885, 0.21246741366782554, -0.0025702348752865488, 0.029797163591916923, -0.0019355855806743804, -0.0697131358959358, -0.06605616501863705, -0.17889868961089672, 0.22630559515640875, 0.028927160026899105, 0.2862951073559447, 0.1142407805842518, 0.0449546735707513, -0.1129894247934432, 0.1291931761431993, 0.00998396925365021, -0.14926618521374774, 0.05718206069891302, 0.3256777301032318, 0.020842607985709756, 0.22917200510986938, -0.5203078863869707, -0.27856123225737206, 0.08190412561960099, 0.13929833282559165, 0.11747712571777298, -0.10968258124317082, -0.22756007914988874, 0.05572845490196798, -0.1800861784722656, -0.11351224670717887, -0.09657732882491038, 0.03727523383067947, 0.02259161870952853, -0.24279036689557884, 0.06497545080574256, 0.026702220833689814, 0.05999295698629666, -0.10476425539990755, -0.11383697458110015, -0.09666041970994113, 0.10512673809573474, 0.00776832795871625, -0.029800757487848873, 0.2769830179213002, -0.1303523477284946, -0.07100669403468639, 0.4189233885861566, 0.006474499164385275, -0.06888719509736123, 0.2773508587655362, -0.16394542457573166, -0.11170078993079738, 0.1821488289844612, 0.13361272738564392, 0.12587254266352982, -0.2149544739443973, 0.03708615137057536, 0.04650206299183864, 0.17710352887902253, 0.08207871874099151, 0.015986678101988117, 0.28459585935998916, 0.24760528959491304, 0.007321611307085898, 0.07982519286820783, -0.03742906469917318, -0.12369187232631614, -0.18632219153666266, -0.22381257513393712, -0.13896002102902316, 0.07783160702830416, -0.07480333067913716, -0.21282653300695017, 0.3152999870313502, 0.15430558370803418, 0.1020582127122497, -0.05825930187137614, 0.21641047542232653, 0.06111418560776912, 0.05901898941497358, 0.024721441203465973, 0.24429033613357115, 0.12952624990696637, 0.14730767316093119, -0.17176581939033062, 0.18584144263672578, 0.0007463980894076677] |
1,802.07686 | Double scaling in the relaxation time in the $\beta$-FPUT model | We consider the original $\beta$-Fermi-Pasta-Ulam-Tsingou ($\beta$-FPUT)
system; numerical simulations and theoretical arguments suggest that, for a
finite number of masses, a statistical equilibrium state is reached
independently of the initial energy of the system. Using ensemble averages over
initial conditions characterized by different Fourier random phases, we
numerically estimate the time scale of equipartition and we find that for very
small nonlinearity it matches the prediction based on exact wave-wave resonant
interactions theory. We derive a simple formula for the nonlinear frequency
broadening and show that when the phenomenon of overlap of frequencies takes
place, a different scaling for the thermalization time scale is observed. Our
result supports the idea that Chirikov overlap criterium { identifies} a
transition region between two different relaxation time scaling.
| nlin.CD | we consider the original betafermipastaulamtsingou betafput system numerical simulations and theoretical arguments suggest that for a finite number of masses a statistical equilibrium state is reached independently of the initial energy of the system using ensemble averages over initial conditions characterized by different fourier random phases we numerically estimate the time scale of equipartition and we find that for very small nonlinearity it matches the prediction based on exact wavewave resonant interactions theory we derive a simple formula for the nonlinear frequency broadening and show that when the phenomenon of overlap of frequencies takes place a different scaling for the thermalization time scale is observed our result supports the idea that chirikov overlap criterium identifies a transition region between two different relaxation time scaling | [['we', 'consider', 'the', 'original', 'betafermipastaulamtsingou', 'betafput', 'system', 'numerical', 'simulations', 'and', 'theoretical', 'arguments', 'suggest', 'that', 'for', 'a', 'finite', 'number', 'of', 'masses', 'a', 'statistical', 'equilibrium', 'state', 'is', 'reached', 'independently', 'of', 'the', 'initial', 'energy', 'of', 'the', 'system', 'using', 'ensemble', 'averages', 'over', 'initial', 'conditions', 'characterized', 'by', 'different', 'fourier', 'random', 'phases', 'we', 'numerically', 'estimate', 'the', 'time', 'scale', 'of', 'equipartition', 'and', 'we', 'find', 'that', 'for', 'very', 'small', 'nonlinearity', 'it', 'matches', 'the', 'prediction', 'based', 'on', 'exact', 'wavewave', 'resonant', 'interactions', 'theory', 'we', 'derive', 'a', 'simple', 'formula', 'for', 'the', 'nonlinear', 'frequency', 'broadening', 'and', 'show', 'that', 'when', 'the', 'phenomenon', 'of', 'overlap', 'of', 'frequencies', 'takes', 'place', 'a', 'different', 'scaling', 'for', 'the', 'thermalization', 'time', 'scale', 'is', 'observed', 'our', 'result', 'supports', 'the', 'idea', 'that', 'chirikov', 'overlap', 'criterium', 'identifies', 'a', 'transition', 'region', 'between', 'two', 'different', 'relaxation', 'time', 'scaling']] | [-0.16492382919828055, 0.16126140921575124, -0.1463495248429607, 0.10574901883001821, -0.0010119575652156453, -0.115897426461862, 0.08051691008598132, 0.3505488091652266, -0.24063089589748654, -0.2967358067876003, 0.06519195290099157, -0.21057611598526357, -0.11876370674085071, 0.20432993285854148, 0.04751820630774658, 0.05425319579796346, 0.06909820767211132, 0.011579429253660997, -0.06527157118314969, -0.17114720932688932, 0.3220889095491806, 0.024264054979077448, 0.3001293586872396, 0.03864140903623011, 0.1080783090103784, -0.014488977664455649, 0.007759749156529786, 0.02892261733335336, -0.1400277016459693, 0.03267682875414974, 0.18968973330939648, 0.08906344451834677, 0.2791995802802629, -0.41310317362429666, -0.2178477353385848, 0.06618890899699181, 0.1389069982621147, 0.13227935770877683, -0.03833039441302449, -0.24653136021778232, 0.05764871866577763, -0.1415106363777743, -0.15171442833942833, -0.06800854116006465, 0.0387325031095047, 0.0212621845450008, -0.31644352339208126, 0.134903150748034, 0.053307041611720916, 0.041935772927035195, -0.09649570540240661, -0.0822833636584768, 0.0052168890280404785, 0.1078983042315202, 0.03867981194987985, -0.03406435069170032, 0.11486872822260026, -0.07802802538041209, -0.06677948420707014, 0.3450662471539127, -0.07124354759780843, -0.1486513392476615, 0.20794038652617972, -0.1636800603488065, -0.12194048816368716, 0.1245347061852894, 0.13716459457121302, 0.09526058938735943, -0.10739788074262505, 0.05238033319130677, -0.05789878219938608, 0.19603774537805652, 0.06352985913523657, 0.017758249644892383, 0.1781095715056433, 0.1642205392150781, 0.04407346265611895, 0.13554066583727958, -0.08116879191089299, -0.14972465759005826, -0.3038215593236392, -0.0868863750575492, -0.24063843684118302, 0.0446342351220426, -0.1371198804075992, -0.14957719923714635, 0.39536999288915853, 0.18012551399478383, 0.23043316441633907, 0.1224042033475106, 0.2618409821526987, 0.17680148068590273, 0.007436220333281691, 0.0570837257517746, 0.2573765529487587, 0.10575501932419043, 0.08052309967298824, -0.27413507856306485, 0.03412412995564156, 0.0946947603684957] |
1,802.07687 | Stochastic Video Generation with a Learned Prior | Generating video frames that accurately predict future world states is
challenging. Existing approaches either fail to capture the full distribution
of outcomes, or yield blurry generations, or both. In this paper we introduce
an unsupervised video generation model that learns a prior model of uncertainty
in a given environment. Video frames are generated by drawing samples from this
prior and combining them with a deterministic estimate of the future frame. The
approach is simple and easily trained end-to-end on a variety of datasets.
Sample generations are both varied and sharp, even many frames into the future,
and compare favorably to those from existing approaches.
| cs.CV cs.AI cs.LG stat.ML | generating video frames that accurately predict future world states is challenging existing approaches either fail to capture the full distribution of outcomes or yield blurry generations or both in this paper we introduce an unsupervised video generation model that learns a prior model of uncertainty in a given environment video frames are generated by drawing samples from this prior and combining them with a deterministic estimate of the future frame the approach is simple and easily trained endtoend on a variety of datasets sample generations are both varied and sharp even many frames into the future and compare favorably to those from existing approaches | [['generating', 'video', 'frames', 'that', 'accurately', 'predict', 'future', 'world', 'states', 'is', 'challenging', 'existing', 'approaches', 'either', 'fail', 'to', 'capture', 'the', 'full', 'distribution', 'of', 'outcomes', 'or', 'yield', 'blurry', 'generations', 'or', 'both', 'in', 'this', 'paper', 'we', 'introduce', 'an', 'unsupervised', 'video', 'generation', 'model', 'that', 'learns', 'a', 'prior', 'model', 'of', 'uncertainty', 'in', 'a', 'given', 'environment', 'video', 'frames', 'are', 'generated', 'by', 'drawing', 'samples', 'from', 'this', 'prior', 'and', 'combining', 'them', 'with', 'a', 'deterministic', 'estimate', 'of', 'the', 'future', 'frame', 'the', 'approach', 'is', 'simple', 'and', 'easily', 'trained', 'endtoend', 'on', 'a', 'variety', 'of', 'datasets', 'sample', 'generations', 'are', 'both', 'varied', 'and', 'sharp', 'even', 'many', 'frames', 'into', 'the', 'future', 'and', 'compare', 'favorably', 'to', 'those', 'from', 'existing', 'approaches']] | [-0.031627525362777166, 0.0460784596855844, -0.07486546704212042, 0.08502722590100557, -0.08200905025632192, -0.16229250445926133, 0.01717641828984667, 0.4795028090906831, -0.26304449923694706, -0.3365077807057577, 0.08354911742096122, -0.3031902184459166, -0.12692843016087024, 0.18937261729465368, -0.14143746838761637, 0.07163340580882505, 0.16933566791256174, 0.05166854144324763, -0.055497938950653546, -0.2707076337694441, 0.30172214116632506, 0.01726592576596886, 0.32464315676882577, -0.05334865214759842, 0.1026599856827838, -0.014128916216297792, -0.06270258896648347, 0.0229228669038723, -0.06867243281927725, 0.19299086391234035, 0.29858550534117967, 0.20873682134641477, 0.2667963787770042, -0.4476721091998395, -0.25402099262394656, 0.11162900057612345, 0.11393876271680571, 0.15164173052261715, -0.05474331663908043, -0.33885278018155635, 0.07278875892482645, -0.16189587012363169, 0.015452238479226183, -0.11833637385951498, -0.03223722422710405, 0.004730602654700096, -0.32501331691701824, 0.05358470527705951, 0.05610126824691319, 0.017446210661616463, -0.06814729912170711, -0.09547186278751514, 0.04093300774603939, 0.19613194342505616, 0.04741062613678738, 0.0713293245476402, 0.14243383755260416, -0.16174449307772404, -0.13903341053474622, 0.40526920000467304, -0.06923719026963226, -0.19405055024589485, 0.22797286009881645, -0.08608330603993426, -0.086570078454455, 0.0989089096368004, 0.22555415307691035, 0.1354385591738929, -0.16710527581968704, -0.0007715583801305351, -0.04356183255171905, 0.16104157922717816, 0.054878218636776395, 0.003820423448744875, 0.233205929756178, 0.21599912594179982, 0.007895782343089545, 0.08920397688276492, -0.10500750846096288, -0.06741234359259789, -0.24816955893542259, -0.09435279125598474, -0.1891269050695253, -0.031515257963642046, -0.07395672275127324, -0.11604236601628005, 0.4048143219775878, 0.25143030893881446, 0.25882108590135783, 0.13754519497832426, 0.3659497278276831, 0.011841265099624602, 0.0778162268039663, 0.05565820600335988, 0.16233792681193265, -0.01792156234016427, 0.08858022352125353, -0.10308557622976458, 0.08249915026065607, 0.00043089791254785197] |
1,802.07688 | Generalized Wandzura Wilczek Relations and Orbital Angular Momentum | New Lorentz Invariance Relations (LIRs) were presented between twist-three
Generalized Parton Distributions (GPDs) and transverse momentum, $k_T$, moments
of twist-two Generalized Transverse Momentum-Dependent Distributions (GTMDs).
By implementing both these LIRs and the QCD Equations of Motion in the quark
quark correlation function, we generated a new series of Wandzura Wilczek (WW)
relations in the off-forward sector. Two of these WW relations take on a
particularly interesting physical meaning in that they provide a clear
interpretation of the QCD structure of Orbital Angular Momentum (OAM) in the
nucleon. In particular, they provide a solution to the outstanding puzzle of
how OAM could be simultaneously described by twist-two GTMDs and twist-three
GPDs. Additional relations were discussed, in particular, for the helicity
configurations that can be detected analyzing specific spin asymmetries: one
corresponding to a longitudinally polarized quark in an unpolarized proton,
associated with spin-orbit correlations, and one for transverse proton
polarization, as a generalization of the relation obeyed by the $g_2$ structure
function; finally, we defined a relation connecting the off-forward extension
of the Sivers function to an off-forward Qiu-Sterman term.
| hep-ph | new lorentz invariance relations lirs were presented between twistthree generalized parton distributions gpds and transverse momentum k_t moments of twisttwo generalized transverse momentumdependent distributions gtmds by implementing both these lirs and the qcd equations of motion in the quark quark correlation function we generated a new series of wandzura wilczek ww relations in the offforward sector two of these ww relations take on a particularly interesting physical meaning in that they provide a clear interpretation of the qcd structure of orbital angular momentum oam in the nucleon in particular they provide a solution to the outstanding puzzle of how oam could be simultaneously described by twisttwo gtmds and twistthree gpds additional relations were discussed in particular for the helicity configurations that can be detected analyzing specific spin asymmetries one corresponding to a longitudinally polarized quark in an unpolarized proton associated with spinorbit correlations and one for transverse proton polarization as a generalization of the relation obeyed by the g_2 structure function finally we defined a relation connecting the offforward extension of the sivers function to an offforward qiusterman term | [['new', 'lorentz', 'invariance', 'relations', 'lirs', 'were', 'presented', 'between', 'twistthree', 'generalized', 'parton', 'distributions', 'gpds', 'and', 'transverse', 'momentum', 'k_t', 'moments', 'of', 'twisttwo', 'generalized', 'transverse', 'momentumdependent', 'distributions', 'gtmds', 'by', 'implementing', 'both', 'these', 'lirs', 'and', 'the', 'qcd', 'equations', 'of', 'motion', 'in', 'the', 'quark', 'quark', 'correlation', 'function', 'we', 'generated', 'a', 'new', 'series', 'of', 'wandzura', 'wilczek', 'ww', 'relations', 'in', 'the', 'offforward', 'sector', 'two', 'of', 'these', 'ww', 'relations', 'take', 'on', 'a', 'particularly', 'interesting', 'physical', 'meaning', 'in', 'that', 'they', 'provide', 'a', 'clear', 'interpretation', 'of', 'the', 'qcd', 'structure', 'of', 'orbital', 'angular', 'momentum', 'oam', 'in', 'the', 'nucleon', 'in', 'particular', 'they', 'provide', 'a', 'solution', 'to', 'the', 'outstanding', 'puzzle', 'of', 'how', 'oam', 'could', 'be', 'simultaneously', 'described', 'by', 'twisttwo', 'gtmds', 'and', 'twistthree', 'gpds', 'additional', 'relations', 'were', 'discussed', 'in', 'particular', 'for', 'the', 'helicity', 'configurations', 'that', 'can', 'be', 'detected', 'analyzing', 'specific', 'spin', 'asymmetries', 'one', 'corresponding', 'to', 'a', 'longitudinally', 'polarized', 'quark', 'in', 'an', 'unpolarized', 'proton', 'associated', 'with', 'spinorbit', 'correlations', 'and', 'one', 'for', 'transverse', 'proton', 'polarization', 'as', 'a', 'generalization', 'of', 'the', 'relation', 'obeyed', 'by', 'the', 'g_2', 'structure', 'function', 'finally', 'we', 'defined', 'a', 'relation', 'connecting', 'the', 'offforward', 'extension', 'of', 'the', 'sivers', 'function', 'to', 'an', 'offforward', 'qiusterman', 'term']] | [-0.12287513304023104, 0.23892565445884067, -0.15866416964716376, 0.19353586135369688, -0.10743518761364358, -0.05667985296696321, -0.01626615315758982, 0.37969536816066535, -0.2375290191317089, -0.22517757376853648, -0.06263132989549666, -0.2878449758288435, -0.04173242882175069, 0.1403482705848968, 0.07415442715019153, 0.08429690697828734, 0.015495781892749309, -0.0475162516095072, -0.1063822849052724, -0.17479579790635816, 0.3646958648960767, 0.004246151117691198, 0.24487846584303835, 0.13013512704927246, 0.11968166036167124, 0.09956775690486144, -0.06876247253414638, -0.019960350278301904, -0.10397166611183521, 0.07886035470344001, 0.22076596604307655, 0.05556810627120427, 0.08916548768048013, -0.3582760446103987, -0.11800555631976221, 0.04809457509044828, 0.16751503895229383, 0.061925832577590836, -0.009180146033417788, -0.25446066965853703, 0.005403248333065203, -0.2480096352265825, -0.18023794074412747, -0.16779141874682138, 0.027510374376040432, 0.004178116925310489, -0.274866471088533, 0.10135773862269837, 0.043513498323652165, 0.014328041834923876, -0.007986526023180292, -0.2089087096206823, -0.09427811104970771, 0.05280463000260002, 0.09670781728866193, 0.10991637320543884, 0.07080718454080191, -0.19959645244642812, -0.18070186150108083, 0.35753999449645674, -0.011461438270683749, -0.2873602344670109, 0.05505874526411212, -0.23973221794634475, -0.15396051201969385, 0.07133018299312897, 0.19448923023532055, 0.07443976561752194, -0.2177079810569708, 0.06662236061081317, -0.0570421530917162, 0.12661567250235453, 0.13587503853337268, 0.09478933196618904, 0.24595648952494453, 0.09793928562918439, -0.05823942492768044, 0.10870464296241462, -0.06213366651196064, -0.09777362586919988, -0.37023557281360947, -0.12622908145246517, -0.1511873817955815, 0.08991741665701418, -0.11492381607248661, -0.09278363007115585, 0.39582915669671315, 0.08040281775280347, 0.23514137014372055, -0.020102357387792466, 0.27924554780458605, 0.15464844669061895, 0.10887169444610953, 0.050760070492862075, 0.23036712563633086, 0.22565911964034693, 0.14356280253632983, -0.26874785938536927, 0.0302349873116063, 0.08219086208547252] |
1,802.07689 | Exact spirally symmetric galactic dynamos | This paper extends the results of an earlier paper on scale invariant
galactic spiral magnetic modes to time dependent, scale invariant, spirals. The
examples given are all exact in that they may be described in terms of
hypergeometric functions. We restrict the discussion to an infinitely
conducting medium in order to avoid earlier approximation, which limited the
solutions to cones lying within about twenty degrees to the plane. The magnetic
disc spirals, `X type" poloidal fields, and the recent discovery of rotation
measure screens in edge-on galactic halos were all recovered in such solutions.
| astro-ph.GA | this paper extends the results of an earlier paper on scale invariant galactic spiral magnetic modes to time dependent scale invariant spirals the examples given are all exact in that they may be described in terms of hypergeometric functions we restrict the discussion to an infinitely conducting medium in order to avoid earlier approximation which limited the solutions to cones lying within about twenty degrees to the plane the magnetic disc spirals x type poloidal fields and the recent discovery of rotation measure screens in edgeon galactic halos were all recovered in such solutions | [['this', 'paper', 'extends', 'the', 'results', 'of', 'an', 'earlier', 'paper', 'on', 'scale', 'invariant', 'galactic', 'spiral', 'magnetic', 'modes', 'to', 'time', 'dependent', 'scale', 'invariant', 'spirals', 'the', 'examples', 'given', 'are', 'all', 'exact', 'in', 'that', 'they', 'may', 'be', 'described', 'in', 'terms', 'of', 'hypergeometric', 'functions', 'we', 'restrict', 'the', 'discussion', 'to', 'an', 'infinitely', 'conducting', 'medium', 'in', 'order', 'to', 'avoid', 'earlier', 'approximation', 'which', 'limited', 'the', 'solutions', 'to', 'cones', 'lying', 'within', 'about', 'twenty', 'degrees', 'to', 'the', 'plane', 'the', 'magnetic', 'disc', 'spirals', 'x', 'type', 'poloidal', 'fields', 'and', 'the', 'recent', 'discovery', 'of', 'rotation', 'measure', 'screens', 'in', 'edgeon', 'galactic', 'halos', 'were', 'all', 'recovered', 'in', 'such', 'solutions']] | [-0.17207224620506167, 0.11245138498123468, -0.04167318720608316, 0.08521775783787659, -0.11740758294299086, -0.02843872159025929, -0.010051582194369366, 0.37544518788444237, -0.22972622706970952, -0.3038364204855517, 0.08329054577390049, -0.2723408408185586, -0.08924928638450008, 0.18060289773138913, -0.051027651705303566, 0.01957116116512012, -0.03242150305750522, -0.03656506501732672, -0.08808937912900991, -0.30553582401827295, 0.32039907730452005, 0.024414567792035165, 0.18606026459267325, -0.03434459703102549, 0.05918174340052808, -0.05390750298256728, -0.0440253371749311, 0.013246382091273653, -0.1689398506823636, 0.05140111717504469, 0.2765145300035464, 0.04384513204778604, 0.204934231639701, -0.43798527455432934, -0.17842994612502924, 0.0911941144100212, 0.22839042346706576, 0.10238959864054391, -0.029647518049658057, -0.2773295548704869, 0.08175333677493829, -0.11951241078613167, -0.23600978649003393, -0.04476276304612451, 0.019781973718249416, 0.049860440823744905, -0.21765645542875567, 0.09148683259263635, 0.08906028398555367, 0.08151437361982275, -0.10221170283051485, -0.08619619911893252, -0.0007523037839997956, 0.05641805751563763, 0.1218988006164201, 0.10750912579192602, 0.16808440498611393, -0.12268238276134226, -0.07830039268617142, 0.35734722879219877, -0.03174938245285104, -0.17878281958698433, 0.19028851879324685, -0.22401610034656652, -0.13313285332232555, 0.1380118013835175, 0.19014163688258665, 0.14178420777650588, -0.1343904540557018, 0.08376580622845065, -0.0801110663748485, 0.1447250807268961, 0.11046245438294446, 0.042818989252988646, 0.23865246393301703, 0.05833495089269065, 0.06003042477420829, 0.09657503046873124, -0.06373462893633529, -0.10577336212303093, -0.2947978126380513, -0.09397816478567039, -0.1204155833995096, 0.06540374479137678, -0.08188596134989874, -0.16858916581568725, 0.3905771303862492, 0.10068007470529645, 0.217993174342716, 0.026031647067011752, 0.27420777934504315, 0.06922398417930495, 0.09600452104945013, 0.11837241220525763, 0.26337647948295195, 0.16721936085687436, 0.07324540694838667, -0.1583555557249867, 0.01571505837405021, 0.02922914086524001] |
1,802.0769 | Strong thermal $SO(10)$-inspired leptogenesis in the light of recent
results from long-baseline neutrino experiments | We confront recent experimental results on neutrino mixing parameters with
the requirements from strong thermal $SO(10)$-inspired leptogenesis, where the
asymmetry is produced from next-to-lightest right-handed neutrinos $N_2$
independently of the initial conditions. There is a nice agreement with latest
global analyses supporting $\sin\delta < 0$ and normal ordering at $ \sim 95\%$
C.L. On the other hand, the more stringent experimental lower bound on the
atmospheric mixing angle starts to corner strong thermal $SO(10)$-inspired
leptogenesis. Prompted and encouraged by this rapid experimental advance, we
obtain a precise determination of the allowed region in the plane $\delta$
versus $\theta_{23}$. We confirm that for the benchmark case $\alpha_2 \equiv
m_{D2} / m_{\rm charm}= 5 \, $, where $m_{D2}$ is the intermediate neutrino
Dirac mass setting the $N_2$ mass, and initial pre-existing asymmetry
$N_{B-L}^{\rm p, i} = 10^{-3}$, the bulk of solutions lies in the first octant.
Though most of the solutions are found outside the $95\%$ C.L. experimental
region, there is still a big allowed fraction that does not require a too
fine-tuned choice of the Majorana phases so that the neutrinoless double beta
decay effective neutrino mass allowed range is still $m_{ee}\simeq
[10,30]\,{\rm meV}$. We also show how the constraints depend on $N_{B-L}^{\rm
p, i}$ and $\alpha_2$. In particular, we show that the current best fit,
($\theta_{23},\delta)\simeq (47^{\circ}, -130^{\circ})$, can be reproduced for
$N_{B-L}^{\rm p, i} = 10^{-3}$ and $\alpha_2 = 6$. Such large values for
$\alpha_2$ have been recently obtained in a few realistic fits within
$SO(10)$-inspired models. Finally, we also obtain that current neutrino data
rule out $N_{B-L}^{\rm p, i} \gtrsim 0.1$ for $\alpha_2 \lesssim 4.7$.
| hep-ph | we confront recent experimental results on neutrino mixing parameters with the requirements from strong thermal so10inspired leptogenesis where the asymmetry is produced from nexttolightest righthanded neutrinos n_2 independently of the initial conditions there is a nice agreement with latest global analyses supporting sindelta 0 and normal ordering at sim 95 cl on the other hand the more stringent experimental lower bound on the atmospheric mixing angle starts to corner strong thermal so10inspired leptogenesis prompted and encouraged by this rapid experimental advance we obtain a precise determination of the allowed region in the plane delta versus theta_23 we confirm that for the benchmark case alpha_2 equiv m_d2 m_rm charm 5 where m_d2 is the intermediate neutrino dirac mass setting the n_2 mass and initial preexisting asymmetry n_blrm p i 103 the bulk of solutions lies in the first octant though most of the solutions are found outside the 95 cl experimental region there is still a big allowed fraction that does not require a too finetuned choice of the majorana phases so that the neutrinoless double beta decay effective neutrino mass allowed range is still m_eesimeq 1030rm mev we also show how the constraints depend on n_blrm p i and alpha_2 in particular we show that the current best fit theta_23deltasimeq 47circ 130circ can be reproduced for n_blrm p i 103 and alpha_2 6 such large values for alpha_2 have been recently obtained in a few realistic fits within so10inspired models finally we also obtain that current neutrino data rule out n_blrm p i gtrsim 01 for alpha_2 lesssim 47 | [['we', 'confront', 'recent', 'experimental', 'results', 'on', 'neutrino', 'mixing', 'parameters', 'with', 'the', 'requirements', 'from', 'strong', 'thermal', 'so10inspired', 'leptogenesis', 'where', 'the', 'asymmetry', 'is', 'produced', 'from', 'nexttolightest', 'righthanded', 'neutrinos', 'n_2', 'independently', 'of', 'the', 'initial', 'conditions', 'there', 'is', 'a', 'nice', 'agreement', 'with', 'latest', 'global', 'analyses', 'supporting', 'sindelta', '0', 'and', 'normal', 'ordering', 'at', 'sim', '95', 'cl', 'on', 'the', 'other', 'hand', 'the', 'more', 'stringent', 'experimental', 'lower', 'bound', 'on', 'the', 'atmospheric', 'mixing', 'angle', 'starts', 'to', 'corner', 'strong', 'thermal', 'so10inspired', 'leptogenesis', 'prompted', 'and', 'encouraged', 'by', 'this', 'rapid', 'experimental', 'advance', 'we', 'obtain', 'a', 'precise', 'determination', 'of', 'the', 'allowed', 'region', 'in', 'the', 'plane', 'delta', 'versus', 'theta_23', 'we', 'confirm', 'that', 'for', 'the', 'benchmark', 'case', 'alpha_2', 'equiv', 'm_d2', 'm_rm', 'charm', '5', 'where', 'm_d2', 'is', 'the', 'intermediate', 'neutrino', 'dirac', 'mass', 'setting', 'the', 'n_2', 'mass', 'and', 'initial', 'preexisting', 'asymmetry', 'n_blrm', 'p', 'i', '103', 'the', 'bulk', 'of', 'solutions', 'lies', 'in', 'the', 'first', 'octant', 'though', 'most', 'of', 'the', 'solutions', 'are', 'found', 'outside', 'the', '95', 'cl', 'experimental', 'region', 'there', 'is', 'still', 'a', 'big', 'allowed', 'fraction', 'that', 'does', 'not', 'require', 'a', 'too', 'finetuned', 'choice', 'of', 'the', 'majorana', 'phases', 'so', 'that', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'effective', 'neutrino', 'mass', 'allowed', 'range', 'is', 'still', 'm_eesimeq', '1030rm', 'mev', 'we', 'also', 'show', 'how', 'the', 'constraints', 'depend', 'on', 'n_blrm', 'p', 'i', 'and', 'alpha_2', 'in', 'particular', 'we', 'show', 'that', 'the', 'current', 'best', 'fit', 'theta_23deltasimeq', '47circ', '130circ', 'can', 'be', 'reproduced', 'for', 'n_blrm', 'p', 'i', '103', 'and', 'alpha_2', '6', 'such', 'large', 'values', 'for', 'alpha_2', 'have', 'been', 'recently', 'obtained', 'in', 'a', 'few', 'realistic', 'fits', 'within', 'so10inspired', 'models', 'finally', 'we', 'also', 'obtain', 'that', 'current', 'neutrino', 'data', 'rule', 'out', 'n_blrm', 'p', 'i', 'gtrsim', '01', 'for', 'alpha_2', 'lesssim', '47']] | [-0.11135089299199352, 0.22968015913281215, 0.004696797688722668, 0.11601292660555536, -0.06296646707321701, -0.18483711400451933, 0.10234887337730836, 0.330869477881162, -0.17691471616154567, -0.3176950368147647, 0.06136792745033293, -0.2931434554336665, -0.019083387744540797, 0.2023925462308116, 0.026318217178286855, 0.019104818907413404, 0.0761138954030191, -0.012778434503323565, -0.08566325912324264, -0.20894148882817795, 0.25696026009702405, 0.03294676754356528, 0.20197906848151498, 0.10249175617557972, 0.027253899350130655, -0.08909249884101685, 0.009082906069992068, -0.07293722697925328, -0.20653221833539603, 0.0023148810295135418, 0.18234716041350943, 0.10216896556400831, 0.1418784845900377, -0.36890943932469733, -0.12501282629903493, 0.15134410903059928, 0.18034118644409458, 0.030508323206183637, -0.06973099925713443, -0.2504075242052136, 0.08402814581726728, -0.1904251681236449, -0.1121069895642333, -0.03276898646943791, 0.03284755263991055, -0.060649070874318596, -0.3505001270208623, 0.12347958228009837, -0.01908636444991422, -0.00567220794720586, -0.038857001705679954, -0.23912011041367326, -0.04320714261397257, 0.030589629872521572, 0.09497356498045413, 0.030884906992518394, 0.1033943165349729, -0.11981131870375383, -0.026791068987899222, 0.3797754760659679, -0.0799355144667089, -0.1326055246316864, 0.12770999596064347, -0.22045316833867593, -0.1862678233544927, 0.10684994613758989, 0.08033394973935801, 0.0965789323831849, -0.09739513735128061, 0.14970171776335767, -0.08085655243214501, 0.21021989708095826, 0.06886921373517216, -0.012251903689467545, 0.24292015842551928, 0.1694375630206421, 0.06686453381688659, -0.04096699640440914, -0.11898479282575328, -0.0309658248759012, -0.3437883351178652, -0.07006258209522041, -0.1097432922002455, 0.09889301538965782, -0.10774398516824554, -0.07243529375635319, 0.36160696589373514, 0.1607497580770887, 0.24941990748336612, 0.02895583428962286, 0.25941111446293286, 0.09130637418788266, 0.029915302182374478, 0.05165178928517036, 0.33058850104783394, 0.10467615165899313, 0.10624419960559728, -0.21725009339762302, 0.06723195516227748, -0.007616884154520293] |
1,802.07691 | Global synchronization of partially forced Kuramoto oscillators on
Networks | We study the synchronization of Kuramoto oscillators on networks where only a
fraction of them is subjected to a periodic external force. When all
oscillators receive the external drive the system always synchronize with the
periodic force if its intensity is sufficiently large. Our goal is to
understand the conditions for global synchronization as a function of the
fraction of nodes being forced and how these conditions depend on network
topology, strength of internal couplings and intensity of external forcing.
Numerical simulations show that the force required to synchronize the network
with the external drive increases as the inverse of the fraction of forced
nodes. However, for a given coupling strength, synchronization does not occur
below a critical fraction, no matter how large is the force. Network topology
and properties of the forced nodes also affect the critical force for
synchronization. We develop analytical calculations for the critical force for
synchronization as a function of the fraction of forced oscillators and for the
critical fraction as a function of coupling strength. We also describe the
transition from synchronization with the external drive to spontaneous
synchronization.
| nlin.AO | we study the synchronization of kuramoto oscillators on networks where only a fraction of them is subjected to a periodic external force when all oscillators receive the external drive the system always synchronize with the periodic force if its intensity is sufficiently large our goal is to understand the conditions for global synchronization as a function of the fraction of nodes being forced and how these conditions depend on network topology strength of internal couplings and intensity of external forcing numerical simulations show that the force required to synchronize the network with the external drive increases as the inverse of the fraction of forced nodes however for a given coupling strength synchronization does not occur below a critical fraction no matter how large is the force network topology and properties of the forced nodes also affect the critical force for synchronization we develop analytical calculations for the critical force for synchronization as a function of the fraction of forced oscillators and for the critical fraction as a function of coupling strength we also describe the transition from synchronization with the external drive to spontaneous synchronization | [['we', 'study', 'the', 'synchronization', 'of', 'kuramoto', 'oscillators', 'on', 'networks', 'where', 'only', 'a', 'fraction', 'of', 'them', 'is', 'subjected', 'to', 'a', 'periodic', 'external', 'force', 'when', 'all', 'oscillators', 'receive', 'the', 'external', 'drive', 'the', 'system', 'always', 'synchronize', 'with', 'the', 'periodic', 'force', 'if', 'its', 'intensity', 'is', 'sufficiently', 'large', 'our', 'goal', 'is', 'to', 'understand', 'the', 'conditions', 'for', 'global', 'synchronization', 'as', 'a', 'function', 'of', 'the', 'fraction', 'of', 'nodes', 'being', 'forced', 'and', 'how', 'these', 'conditions', 'depend', 'on', 'network', 'topology', 'strength', 'of', 'internal', 'couplings', 'and', 'intensity', 'of', 'external', 'forcing', 'numerical', 'simulations', 'show', 'that', 'the', 'force', 'required', 'to', 'synchronize', 'the', 'network', 'with', 'the', 'external', 'drive', 'increases', 'as', 'the', 'inverse', 'of', 'the', 'fraction', 'of', 'forced', 'nodes', 'however', 'for', 'a', 'given', 'coupling', 'strength', 'synchronization', 'does', 'not', 'occur', 'below', 'a', 'critical', 'fraction', 'no', 'matter', 'how', 'large', 'is', 'the', 'force', 'network', 'topology', 'and', 'properties', 'of', 'the', 'forced', 'nodes', 'also', 'affect', 'the', 'critical', 'force', 'for', 'synchronization', 'we', 'develop', 'analytical', 'calculations', 'for', 'the', 'critical', 'force', 'for', 'synchronization', 'as', 'a', 'function', 'of', 'the', 'fraction', 'of', 'forced', 'oscillators', 'and', 'for', 'the', 'critical', 'fraction', 'as', 'a', 'function', 'of', 'coupling', 'strength', 'we', 'also', 'describe', 'the', 'transition', 'from', 'synchronization', 'with', 'the', 'external', 'drive', 'to', 'spontaneous', 'synchronization']] | [-0.23814137585058406, 0.19768119095950512, -0.009612826630473137, 0.008137529109277435, -0.05811812913145971, -0.13459155085823826, 0.1059538384899497, 0.3399864125795461, -0.26863816984601924, -0.2964784109109157, 0.06920027209231881, -0.25961613520174415, -0.193650705946257, 0.17579856483089562, 0.02321755250261442, 0.015495391808941054, 0.039529527652052206, 0.10947412315227494, 0.020355215676229547, -0.18687188000594443, 0.317601781245321, 0.0655462448925686, 0.2718448044140697, 0.030438018066657555, 0.0914693983070351, -0.027050700762963578, 0.06053021291012851, 0.03382820236886776, -0.1230075176744297, 0.009566150585541854, 0.17530195059607157, 0.05360570159061132, 0.2926839892525931, -0.4624607543385512, -0.19641315520212457, 0.1710986005683505, 0.13662627777776906, 0.13035746630583261, -0.009783763489434244, -0.25120468609840485, 0.059761767713604745, -0.15953193748420155, -0.13765524839478974, -0.08373372699763323, 0.046742568016555665, 0.13779452031893605, -0.297896135308956, 0.06041108265840071, 0.05448000581079238, 0.06809259909924868, -0.08001967294305261, 0.006246206083183957, -0.06460283164664901, 0.1996597236728711, 0.04110791044360077, 0.0574958390619203, 0.1961631395803714, -0.16000354577963416, -0.03306042772522699, 0.3703356109358169, -0.05556089611145089, -0.2220868440294588, 0.21202338032072057, -0.1226988006710402, -0.10902509351868207, 0.11664468042703496, 0.20021496656275278, 0.031178353429847473, -0.10304814466657558, 0.014502731649003722, 0.029152352589409094, 0.2251567550236359, 0.042659146760313495, 0.00948765866546514, 0.1861312266539883, 0.1648053094480388, 0.1189178998991092, 0.16355256464433027, -0.0641584088055203, -0.11244129851913533, -0.28941830632251664, -0.06864640580087497, -0.18596835860013458, 0.06300131571109445, -0.09669364503981244, -0.19470408513286228, 0.3843711786953783, 0.17320276737414503, 0.20440319142354701, 0.057911170289121766, 0.3164052060981457, 0.12619942539887552, 0.07307755979080055, 0.05328183821528345, 0.31147230757098343, 0.15299645024855194, 0.10591828702395228, -0.2785947313519648, 0.0765021524467581, 0.014042266654605801] |
1,802.07692 | Centralized Volatility Reduction for Electricity Markets | Increased penetration of wind energy will make electricity market prices more
volatile. As a result, market participants will bear increased financial risks,
which impact investment decisions and in turn, makes it harder to achieve
sustainable energy goals. As a remedy, in this paper, we propose an insurance
market that complements any wholesale market design. Our mechanism can be run
by any suitable financial entity such as an independent system operator, with
the aim of reducing the financial impacts of volatile prices. We provide
theoretical guarantees, analytically characterize the outcomes over a
copperplate power system example, and numerically explore the same for a
modified IEEE 14-bus test system.
| math.OC | increased penetration of wind energy will make electricity market prices more volatile as a result market participants will bear increased financial risks which impact investment decisions and in turn makes it harder to achieve sustainable energy goals as a remedy in this paper we propose an insurance market that complements any wholesale market design our mechanism can be run by any suitable financial entity such as an independent system operator with the aim of reducing the financial impacts of volatile prices we provide theoretical guarantees analytically characterize the outcomes over a copperplate power system example and numerically explore the same for a modified ieee 14bus test system | [['increased', 'penetration', 'of', 'wind', 'energy', 'will', 'make', 'electricity', 'market', 'prices', 'more', 'volatile', 'as', 'a', 'result', 'market', 'participants', 'will', 'bear', 'increased', 'financial', 'risks', 'which', 'impact', 'investment', 'decisions', 'and', 'in', 'turn', 'makes', 'it', 'harder', 'to', 'achieve', 'sustainable', 'energy', 'goals', 'as', 'a', 'remedy', 'in', 'this', 'paper', 'we', 'propose', 'an', 'insurance', 'market', 'that', 'complements', 'any', 'wholesale', 'market', 'design', 'our', 'mechanism', 'can', 'be', 'run', 'by', 'any', 'suitable', 'financial', 'entity', 'such', 'as', 'an', 'independent', 'system', 'operator', 'with', 'the', 'aim', 'of', 'reducing', 'the', 'financial', 'impacts', 'of', 'volatile', 'prices', 'we', 'provide', 'theoretical', 'guarantees', 'analytically', 'characterize', 'the', 'outcomes', 'over', 'a', 'copperplate', 'power', 'system', 'example', 'and', 'numerically', 'explore', 'the', 'same', 'for', 'a', 'modified', 'ieee', '14bus', 'test', 'system']] | [-0.11863723094465281, 0.060107257513972966, -0.09264663554275548, 0.11784867802964312, -0.111242119873048, -0.1528555319275496, 0.1137772060871423, 0.37399276857317054, -0.2683933185026893, -0.2878841687222275, 0.15686542294998565, -0.2894854413945105, -0.1449701357336346, 0.21628011874678843, -0.18873363567674356, 0.05123511681614338, 0.08070761707769532, -0.03900126093654797, 0.06404890263461913, -0.31961443514853083, 0.2612326655818044, 0.15170087348142602, 0.28919212586017995, 0.08659424952270885, 0.08527117391459574, -0.0365998965428861, -0.02004269035620931, -0.0020740700288201276, -0.1146271886320632, 0.14171434666100396, 0.3451089199351252, 0.15490418447466855, 0.40969381733569055, -0.48725747081609266, -0.17048412380423747, 0.16399569577045459, 0.051685078842741136, -0.0029336135660930763, 0.02508821156914324, -0.21221089267769372, 0.017752728591901513, -0.35407999634988746, -0.15099541020122761, -0.12333985335052998, 0.0027755099603519687, 0.03487664261033302, -0.32380563734134415, -0.014291674864065464, 0.021290605061880824, 0.05910057636891615, -0.07593286899357753, -0.07472348233952872, -0.0544168183443857, 0.1445525316170083, 0.12065513960627662, -0.08976489238941796, 0.18669953055345928, -0.11072729936062868, -0.171705413451594, 0.40315960077041724, -0.046037674268690064, -0.14408191416043578, 0.10346315558648335, -0.08199105968364989, -0.09351053647806798, 0.07999687269549677, 0.23768883676461453, 0.0013412983147954604, -0.20971624154316368, 0.0034683567355386913, -0.03431275158347386, 0.20827228906740136, 0.05956348253387676, 0.006867110594131825, 0.21059606244396595, 0.22191130376491203, 0.16868243620397066, 0.13492606695245002, -0.0023475117796926564, -0.12051693374348171, -0.23694620178660974, -0.1743148017744973, -0.13158014754189248, 0.08099539161501627, -0.13118366222748454, -0.13191933997572874, 0.3667062299132769, 0.2181827557967308, 0.10058722315567001, 0.06979355163090283, 0.32407139461346957, 0.13078185600307682, -0.02553779494790536, 0.1147385146205296, 0.19168792397908443, -0.07159936838598817, 0.22824825738218418, -0.17917621136150974, 0.19494037211099463, -0.029357366312189766] |
1,802.07693 | RStore: A Distributed Multi-version Document Store | We address the problem of compactly storing a large number of versions
(snapshots) of a collection of keyed documents or records in a distributed
environment, while efficiently answering a variety of retrieval queries over
those, including retrieving full or partial versions, and evolution histories
for specific keys. We motivate the increasing need for such a system in a
variety of application domains, carefully explore the design space for building
such a system and the various storage-computation-retrieval trade-offs, and
discuss how different storage layouts influence those trade-offs. We propose a
novel system architecture that satisfies the key desiderata for such a system,
and offers simple tuning knobs that allow adapting to a specific data and query
workload. Our system is intended to act as a layer on top of a distributed
key-value store that houses the raw data as well as any indexes. We design
novel off-line storage layout algorithms for efficiently partitioning the data
to minimize the storage costs while keeping the retrieval costs low. We also
present an online algorithm to handle new versions being added to system. Using
extensive experiments on large datasets, we demonstrate that our system
operates at the scale required in most practical scenarios and often
outperforms standard baselines, including a delta-based storage engine, by
orders-of-magnitude.
| cs.DB | we address the problem of compactly storing a large number of versions snapshots of a collection of keyed documents or records in a distributed environment while efficiently answering a variety of retrieval queries over those including retrieving full or partial versions and evolution histories for specific keys we motivate the increasing need for such a system in a variety of application domains carefully explore the design space for building such a system and the various storagecomputationretrieval tradeoffs and discuss how different storage layouts influence those tradeoffs we propose a novel system architecture that satisfies the key desiderata for such a system and offers simple tuning knobs that allow adapting to a specific data and query workload our system is intended to act as a layer on top of a distributed keyvalue store that houses the raw data as well as any indexes we design novel offline storage layout algorithms for efficiently partitioning the data to minimize the storage costs while keeping the retrieval costs low we also present an online algorithm to handle new versions being added to system using extensive experiments on large datasets we demonstrate that our system operates at the scale required in most practical scenarios and often outperforms standard baselines including a deltabased storage engine by ordersofmagnitude | [['we', 'address', 'the', 'problem', 'of', 'compactly', 'storing', 'a', 'large', 'number', 'of', 'versions', 'snapshots', 'of', 'a', 'collection', 'of', 'keyed', 'documents', 'or', 'records', 'in', 'a', 'distributed', 'environment', 'while', 'efficiently', 'answering', 'a', 'variety', 'of', 'retrieval', 'queries', 'over', 'those', 'including', 'retrieving', 'full', 'or', 'partial', 'versions', 'and', 'evolution', 'histories', 'for', 'specific', 'keys', 'we', 'motivate', 'the', 'increasing', 'need', 'for', 'such', 'a', 'system', 'in', 'a', 'variety', 'of', 'application', 'domains', 'carefully', 'explore', 'the', 'design', 'space', 'for', 'building', 'such', 'a', 'system', 'and', 'the', 'various', 'storagecomputationretrieval', 'tradeoffs', 'and', 'discuss', 'how', 'different', 'storage', 'layouts', 'influence', 'those', 'tradeoffs', 'we', 'propose', 'a', 'novel', 'system', 'architecture', 'that', 'satisfies', 'the', 'key', 'desiderata', 'for', 'such', 'a', 'system', 'and', 'offers', 'simple', 'tuning', 'knobs', 'that', 'allow', 'adapting', 'to', 'a', 'specific', 'data', 'and', 'query', 'workload', 'our', 'system', 'is', 'intended', 'to', 'act', 'as', 'a', 'layer', 'on', 'top', 'of', 'a', 'distributed', 'keyvalue', 'store', 'that', 'houses', 'the', 'raw', 'data', 'as', 'well', 'as', 'any', 'indexes', 'we', 'design', 'novel', 'offline', 'storage', 'layout', 'algorithms', 'for', 'efficiently', 'partitioning', 'the', 'data', 'to', 'minimize', 'the', 'storage', 'costs', 'while', 'keeping', 'the', 'retrieval', 'costs', 'low', 'we', 'also', 'present', 'an', 'online', 'algorithm', 'to', 'handle', 'new', 'versions', 'being', 'added', 'to', 'system', 'using', 'extensive', 'experiments', 'on', 'large', 'datasets', 'we', 'demonstrate', 'that', 'our', 'system', 'operates', 'at', 'the', 'scale', 'required', 'in', 'most', 'practical', 'scenarios', 'and', 'often', 'outperforms', 'standard', 'baselines', 'including', 'a', 'deltabased', 'storage', 'engine', 'by', 'ordersofmagnitude']] | [-0.12852449053116288, 0.03805083393159467, -0.029526856706832492, 0.057455646239465016, -0.08659133238363124, -0.15811543389156993, 0.09329676801183572, 0.3949923147170228, -0.3027480831619219, -0.36108552881826955, 0.14165504595176096, -0.2867773036694243, -0.1121300363114902, 0.23384368247130796, -0.10854649321353506, 0.09717730569176465, 0.10337709184248178, -0.0014982113076950467, -0.060383838797636036, -0.2717717815179467, 0.3111052094925461, 0.07185404232836196, 0.307393092493571, 0.02049791004198293, 0.11487545230691987, 0.023950681129160028, -0.0234355067956217, 0.011671628086644757, -0.059862673197390644, 0.1315867817406321, 0.2888917446214085, 0.23638397982299683, 0.2873874891482826, -0.43728723433312205, -0.19011694992936792, 0.09672270266483315, 0.11986122718219468, 0.10821823535238981, -0.086662602834847, -0.2632217019973766, 0.08903196741649437, -0.20111991285479494, -0.023102065705738608, -0.13970081919272032, 0.004371872233847777, 0.04127511501456389, -0.3118585860179294, -0.03920049888561369, 0.018387375179944293, 0.03817146878434523, -0.05118691072843614, -0.0871129948285497, 0.05691594570664511, 0.16529952748900367, -0.034223077070367126, -0.01497983208170072, 0.14540319762946594, -0.12755099008125917, -0.15307727496339274, 0.41759809706182704, -0.03383802820573605, -0.19927932440436313, 0.19736681921751284, -0.023786291416590322, -0.13856548022567516, 0.07229274442721535, 0.24066798248816104, 0.1055287367309488, -0.15383470745679612, 0.04341174805096151, -0.026630108555157978, 0.2163524760515429, 0.04139887892885045, 0.0715654319312307, 0.18243907728964195, 0.2386607769854544, 0.09245151904012476, 0.1884932998789563, -0.05399692924471483, -0.08390847335214771, -0.24710991300775537, -0.17255353422258937, -0.17780050509720155, -0.02870993951690339, -0.12181150984556768, -0.15506236376019106, 0.3892185800864051, 0.2154733288114325, 0.20799894146233175, 0.061439544921519144, 0.35758143406183945, 0.019740722722573472, 0.12685494402955685, 0.12372714805505461, 0.08772704540031208, -0.0319803341746419, 0.16778016398117568, -0.1712965645505825, 0.0832614063085722, -0.0053708571330865935] |
1,802.07694 | Homoclinic Bifurcations of the Merging Strange Attractors in the
Lorenz-like System | In this article we construct the parameter region where the existence of a
homoclinic orbit to a zero equilibrium state of saddle type in the Lorenz-like
system will be analytically proved in the case of a nonnegative saddle value.
Then, for a qualitative description of the different types of homoclinic
bifurcations, a numerical analysis of the detected parameter region is carried
out to discover several new interesting bifurcation scenarios.
| math.DS | in this article we construct the parameter region where the existence of a homoclinic orbit to a zero equilibrium state of saddle type in the lorenzlike system will be analytically proved in the case of a nonnegative saddle value then for a qualitative description of the different types of homoclinic bifurcations a numerical analysis of the detected parameter region is carried out to discover several new interesting bifurcation scenarios | [['in', 'this', 'article', 'we', 'construct', 'the', 'parameter', 'region', 'where', 'the', 'existence', 'of', 'a', 'homoclinic', 'orbit', 'to', 'a', 'zero', 'equilibrium', 'state', 'of', 'saddle', 'type', 'in', 'the', 'lorenzlike', 'system', 'will', 'be', 'analytically', 'proved', 'in', 'the', 'case', 'of', 'a', 'nonnegative', 'saddle', 'value', 'then', 'for', 'a', 'qualitative', 'description', 'of', 'the', 'different', 'types', 'of', 'homoclinic', 'bifurcations', 'a', 'numerical', 'analysis', 'of', 'the', 'detected', 'parameter', 'region', 'is', 'carried', 'out', 'to', 'discover', 'several', 'new', 'interesting', 'bifurcation', 'scenarios']] | [-0.24240314118240192, 0.047657897783632296, -0.1484838827425425, 0.08682911463783703, -0.0452277561298747, -0.14979100307665658, 0.0994149643279936, 0.2398258721062819, -0.2792146845140319, -0.20463629129032293, 0.11936231179034634, -0.26198837191264646, -0.1789612052017364, 0.1962359921493824, -0.017611413931750787, 0.050592595556130014, 0.0963250129227189, 0.07151387136200092, -0.07367009774147384, -0.17117241477134867, 0.3602084196780039, -0.01753482975713585, 0.1817942727762072, 0.013497739166453264, 0.06999307268879552, -0.09373951754937677, 0.04797777587520904, 0.039972764196927135, -0.21103220204890205, 0.03010622709584625, 0.2882580841904965, 0.07984011961599354, 0.2897752414025582, -0.33808246175286133, -0.22729939324916273, 0.17268099888241378, 0.19042299215452393, 0.09326572137196427, -0.03159972285662872, -0.3149102715120745, 0.11773247999962473, -0.16771577951579314, -0.23790179811202097, -0.09737258050860702, 0.051805671358454056, 0.0178596345215118, -0.2732538350155928, 0.030817163709983015, 0.045848514402177236, 0.09287889837624802, -0.07666800948588745, -0.04777613906628466, -0.07410995035931683, 0.10246723657473922, 0.07630960951554817, -0.026380648553047493, 0.08413486106429195, -0.08573445242802626, -0.08637897041288839, 0.3044640083891758, -0.023605485105941047, -0.20211152776576363, 0.19580581598996144, -0.14555441204836403, -0.1714302113927577, 0.17730483650297357, 0.15672602007786432, 0.16010995601992245, -0.1444384731028391, 0.06792094098215086, -0.056141755948572056, 0.1237332301578768, 0.08180557277755461, -0.04422726966710626, 0.2207501599619138, 0.16067089372570964, 0.13289401939381723, 0.20381088493952015, -0.09460723110596123, -0.19847762501677094, -0.35664414851993753, -0.11387128179110047, -0.11018029593633137, 0.05944680960585728, -0.08052009682211539, -0.18892799960314363, 0.4642463627716769, 0.12885171060274908, 0.22194148895695157, -0.010719792171637866, 0.23755466238851997, 0.10337619904590689, -0.05153761771710023, 0.03816938129645111, 0.29883092717416043, 0.10239610283811024, 0.09918908826142982, -0.19690335002066434, -0.013175495859721432, 0.12396745918912516] |
1,802.07695 | Quadric Inclusion Programs: an LMI Approach to H[infinity]-Model
Identification | Practical application of H[infinity] robust control relies on system
identification of a valid model-set, described by a linear system in feedback
with a stable norm-bounded uncertainty, which must explains all possible (or at
least all previously measured) behavior for the control plant. Such models can
be viewed as norm-bounded inclusions in the frequency domain, and this note
introduces the "Quadric Inclusion Program" that can identify inclusions from
input--output data as a convex problem. We prove several key properties of this
algorithm and give a geometric interpretation for its behavior. While we stress
that the inclusion fitting is outlier-sensitive by design, we offer a method to
mitigate the effect of measurement noise. We apply this method to robustly
approximate simulated frequency domain data using orthonormal basis functions.
The result compares favorably with a least squares approach that satisfies the
same data inclusion requirements.
| math.OC cs.SY math.DS | practical application of hinfinity robust control relies on system identification of a valid modelset described by a linear system in feedback with a stable normbounded uncertainty which must explains all possible or at least all previously measured behavior for the control plant such models can be viewed as normbounded inclusions in the frequency domain and this note introduces the quadric inclusion program that can identify inclusions from inputoutput data as a convex problem we prove several key properties of this algorithm and give a geometric interpretation for its behavior while we stress that the inclusion fitting is outliersensitive by design we offer a method to mitigate the effect of measurement noise we apply this method to robustly approximate simulated frequency domain data using orthonormal basis functions the result compares favorably with a least squares approach that satisfies the same data inclusion requirements | [['practical', 'application', 'of', 'hinfinity', 'robust', 'control', 'relies', 'on', 'system', 'identification', 'of', 'a', 'valid', 'modelset', 'described', 'by', 'a', 'linear', 'system', 'in', 'feedback', 'with', 'a', 'stable', 'normbounded', 'uncertainty', 'which', 'must', 'explains', 'all', 'possible', 'or', 'at', 'least', 'all', 'previously', 'measured', 'behavior', 'for', 'the', 'control', 'plant', 'such', 'models', 'can', 'be', 'viewed', 'as', 'normbounded', 'inclusions', 'in', 'the', 'frequency', 'domain', 'and', 'this', 'note', 'introduces', 'the', 'quadric', 'inclusion', 'program', 'that', 'can', 'identify', 'inclusions', 'from', 'inputoutput', 'data', 'as', 'a', 'convex', 'problem', 'we', 'prove', 'several', 'key', 'properties', 'of', 'this', 'algorithm', 'and', 'give', 'a', 'geometric', 'interpretation', 'for', 'its', 'behavior', 'while', 'we', 'stress', 'that', 'the', 'inclusion', 'fitting', 'is', 'outliersensitive', 'by', 'design', 'we', 'offer', 'a', 'method', 'to', 'mitigate', 'the', 'effect', 'of', 'measurement', 'noise', 'we', 'apply', 'this', 'method', 'to', 'robustly', 'approximate', 'simulated', 'frequency', 'domain', 'data', 'using', 'orthonormal', 'basis', 'functions', 'the', 'result', 'compares', 'favorably', 'with', 'a', 'least', 'squares', 'approach', 'that', 'satisfies', 'the', 'same', 'data', 'inclusion', 'requirements']] | [-0.11507749029302171, 0.027895176809813294, -0.0960177791537717, 0.05282508150308526, -0.08758081115250077, -0.1521717668178358, 0.030769614103649343, 0.3653944480548879, -0.2986402852660311, -0.29326172314384685, 0.15142548257052632, -0.24344576677041393, -0.16498021729057655, 0.21671541342345466, -0.11139868901975986, 0.08889629562742941, 0.058245550538413224, -0.004125678175062473, -0.06726976630951477, -0.20532149622948573, 0.30692437322411154, 0.01654704838791596, 0.2551561709343722, 0.0007447907410096377, 0.14453366018881622, 0.017017437958358122, 0.0022910515179059335, 0.06620161352787234, -0.09168846671564097, 0.12091406356194057, 0.28682763138071354, 0.16819671868912078, 0.2826270633576704, -0.38070963909849526, -0.2018411735837747, 0.10753919284657708, 0.11741602113470435, 0.11765686327292185, -0.039213337580440565, -0.24236640506756624, 0.0812600625113451, -0.16094623621819273, -0.1545817990122097, -0.11806975386903755, -0.04416133131432746, 0.019829848847088476, -0.3168263773833002, 0.07466894510601248, 0.08529504936388028, 0.0481615827751479, -0.08804488576965273, -0.11842004387872293, 0.015560330929500717, 0.08778064881418167, 0.008731676560793338, 0.008455657277123205, 0.1249589264725468, -0.0559632555531737, -0.12027725693437137, 0.3710107645352504, -0.058752055655765745, -0.2423740421820964, 0.15585488724089894, -0.10092957409630929, -0.11455124118531655, 0.10990245092128004, 0.1998084955682446, 0.09845926307274827, -0.16609943948736014, 0.06051719685955115, -0.03832790999939399, 0.20026786798012575, 0.03376304625167644, 0.03397554832377604, 0.14427150736529645, 0.1910269757840849, 0.10899734560267202, 0.17728959867963567, -0.04404280932586906, -0.04969680652928738, -0.33265311555338223, -0.10175269988498517, -0.1703940880202156, 0.012728510301427118, -0.07056989427967762, -0.15883124815965338, 0.37208342904757175, 0.17275071972981096, 0.20786890634501884, 0.08960674915911764, 0.3405827366347824, 0.11454103767173365, 0.07250244654382446, 0.06219141253469778, 0.21656740427549395, 0.10482299421980446, 0.03737835248632889, -0.2287529822887986, 0.1034794520586729, 0.04616409404427811] |
1,802.07696 | A likelihood ratio approach to sequential change point detection for a
general class of parameters | In this paper we propose a new approach for sequential monitoring of a
parameter of a $d$-dimensional time series, which can be estimated by
approximately linear functionals of the empirical distribution function. We
consider a closed-end-method, which is motivated by the likelihood ratio test
principle and compare the new method with two alternative procedures. We also
incorporate self-normalization such that estimation of the long-run variance is
not necessary. We prove that for a large class of testing problems the new
detection scheme has asymptotic level $\alpha$ and is consistent. The
asymptotic theory is illustrated for the important cases of monitoring a change
in the mean, variance and correlation. By means of a simulation study it is
demonstrated that the new test performs better than the currently available
procedures for these problems.Finally the methodology is illustrated by a small
data example investigating index prices from the dot-com bubble.
| math.ST stat.ME stat.TH | in this paper we propose a new approach for sequential monitoring of a parameter of a ddimensional time series which can be estimated by approximately linear functionals of the empirical distribution function we consider a closedendmethod which is motivated by the likelihood ratio test principle and compare the new method with two alternative procedures we also incorporate selfnormalization such that estimation of the longrun variance is not necessary we prove that for a large class of testing problems the new detection scheme has asymptotic level alpha and is consistent the asymptotic theory is illustrated for the important cases of monitoring a change in the mean variance and correlation by means of a simulation study it is demonstrated that the new test performs better than the currently available procedures for these problemsfinally the methodology is illustrated by a small data example investigating index prices from the dotcom bubble | [['in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'approach', 'for', 'sequential', 'monitoring', 'of', 'a', 'parameter', 'of', 'a', 'ddimensional', 'time', 'series', 'which', 'can', 'be', 'estimated', 'by', 'approximately', 'linear', 'functionals', 'of', 'the', 'empirical', 'distribution', 'function', 'we', 'consider', 'a', 'closedendmethod', 'which', 'is', 'motivated', 'by', 'the', 'likelihood', 'ratio', 'test', 'principle', 'and', 'compare', 'the', 'new', 'method', 'with', 'two', 'alternative', 'procedures', 'we', 'also', 'incorporate', 'selfnormalization', 'such', 'that', 'estimation', 'of', 'the', 'longrun', 'variance', 'is', 'not', 'necessary', 'we', 'prove', 'that', 'for', 'a', 'large', 'class', 'of', 'testing', 'problems', 'the', 'new', 'detection', 'scheme', 'has', 'asymptotic', 'level', 'alpha', 'and', 'is', 'consistent', 'the', 'asymptotic', 'theory', 'is', 'illustrated', 'for', 'the', 'important', 'cases', 'of', 'monitoring', 'a', 'change', 'in', 'the', 'mean', 'variance', 'and', 'correlation', 'by', 'means', 'of', 'a', 'simulation', 'study', 'it', 'is', 'demonstrated', 'that', 'the', 'new', 'test', 'performs', 'better', 'than', 'the', 'currently', 'available', 'procedures', 'for', 'these', 'problemsfinally', 'the', 'methodology', 'is', 'illustrated', 'by', 'a', 'small', 'data', 'example', 'investigating', 'index', 'prices', 'from', 'the', 'dotcom', 'bubble']] | [-0.07333322417388413, 0.06196261483148254, -0.11705723735022133, 0.10959870471008892, -0.029492961091856503, -0.13050928203447257, 0.06062852295500965, 0.3647023406939517, -0.23127361322785245, -0.3072760427691813, 0.15263254014004407, -0.23179022907440006, -0.17105811041426555, 0.24406257595481542, -0.0689415590452223, 0.08502659178820664, 0.06466611401531203, 0.017028040515965428, -0.052002277429183494, -0.23495685323462662, 0.29543545419382383, 0.0880001725628972, 0.3021015758915194, 0.017154376448838618, 0.12148136578355755, 0.00797638587717866, -0.06889913772264945, 0.06434363282760074, -0.13206653014253944, 0.13363741451778033, 0.21699135868392627, 0.15912090503161067, 0.3286007944687173, -0.3517781771719456, -0.22257611263575483, 0.1147732493981462, 0.10968118689649192, 0.07977373313383553, -0.05317569635326749, -0.24858627198585148, 0.08296244241907422, -0.18616220140508535, -0.1315824963345096, -0.0951685435042299, -0.003734949976205826, 0.02353070787041737, -0.34551899412261516, 0.11583374524990836, 0.025737841684242774, 0.0634414526730262, -0.031079402447132202, -0.11618779332794506, 0.04989990943015136, 0.09886779588454499, 0.07643036779642491, -0.013334983697056706, 0.07624268447980284, -0.08747364850233084, -0.12031495304224242, 0.34131475321884297, -0.0764102227717903, -0.18466974158353847, 0.14371823902916292, -0.11354613442873132, -0.1421825140120526, 0.08651154082718081, 0.1821013868690051, 0.16593085298764296, -0.18579406126177517, 0.0702359253239561, -0.04948324291597538, 0.16717535299369424, 0.011658693506414521, -0.034415482784268155, 0.16405224426938542, 0.2152367515200428, 0.08811949694705806, 0.1774329382532822, -0.11368525046052347, -0.07967425504506662, -0.3270078940381264, -0.18144210254580811, -0.20716358161097842, 0.0027465239633878307, -0.12193944604700062, -0.14753142871476452, 0.3940040332290037, 0.174417606888917, 0.16517482551681842, 0.09111953392014678, 0.30077051012295075, 0.1530874342721855, 0.030206063755884253, 0.06790064510343403, 0.22116281433544796, 0.06660091571413494, 0.027184732091324083, -0.19345150695118155, 0.1134618269777375, 0.04169875506215311] |
1,802.07697 | Approximation Algorithms for Cascading Prediction Models | We present an approximation algorithm that takes a pool of pre-trained models
as input and produces from it a cascaded model with similar accuracy but lower
average-case cost. Applied to state-of-the-art ImageNet classification models,
this yields up to a 2x reduction in floating point multiplications, and up to a
6x reduction in average-case memory I/O. The auto-generated cascades exhibit
intuitive properties, such as using lower-resolution input for easier images
and requiring higher prediction confidence when using a computationally cheaper
model.
| cs.LG cs.AI cs.NE | we present an approximation algorithm that takes a pool of pretrained models as input and produces from it a cascaded model with similar accuracy but lower averagecase cost applied to stateoftheart imagenet classification models this yields up to a 2x reduction in floating point multiplications and up to a 6x reduction in averagecase memory io the autogenerated cascades exhibit intuitive properties such as using lowerresolution input for easier images and requiring higher prediction confidence when using a computationally cheaper model | [['we', 'present', 'an', 'approximation', 'algorithm', 'that', 'takes', 'a', 'pool', 'of', 'pretrained', 'models', 'as', 'input', 'and', 'produces', 'from', 'it', 'a', 'cascaded', 'model', 'with', 'similar', 'accuracy', 'but', 'lower', 'averagecase', 'cost', 'applied', 'to', 'stateoftheart', 'imagenet', 'classification', 'models', 'this', 'yields', 'up', 'to', 'a', '2x', 'reduction', 'in', 'floating', 'point', 'multiplications', 'and', 'up', 'to', 'a', '6x', 'reduction', 'in', 'averagecase', 'memory', 'io', 'the', 'autogenerated', 'cascades', 'exhibit', 'intuitive', 'properties', 'such', 'as', 'using', 'lowerresolution', 'input', 'for', 'easier', 'images', 'and', 'requiring', 'higher', 'prediction', 'confidence', 'when', 'using', 'a', 'computationally', 'cheaper', 'model']] | [-0.02168641494063195, -0.006692770802874293, -0.08239425072388258, 0.10073905106837629, -0.04453163028229028, -0.2075109435187187, 0.13242529993585778, 0.43742814045399425, -0.24076791405677794, -0.394853861676529, 0.07136194858758245, -0.25055874850368126, -0.13645170866511763, 0.2467933949577855, -0.0970733574416954, 0.11206501505803317, 0.1295116038643755, 0.016113778424914925, -0.11819388574294862, -0.3160340824339073, 0.16128315582609504, 0.11425965125672519, 0.2760502371878829, -0.03532156673609279, 0.12262430120026693, -0.07929873515968211, 0.029204417101573198, -0.00952969678910449, -0.0180846284177278, 0.14285450131865218, 0.2396562263468695, 0.14003740288317204, 0.26576605904847383, -0.43864263384602964, -0.19712878620484844, 0.0796170990797691, 0.14299607432330957, 0.11348292914335616, -0.038517078961012884, -0.24036980331293306, 0.10632789976662024, -0.19911742506956215, -0.002366551326122135, -0.16535202216764447, -0.015863311213615817, -0.049296730387141, -0.338858820986934, 0.07169902243185788, 0.09783245471771806, 0.06504353993259429, -0.017930970285669902, -0.1452247599576367, -0.0003989733988419175, 0.10122486017535266, -0.013396553657366894, 0.08498738766065798, 0.11135364785441197, -0.20328638994251377, -0.14231196001637728, 0.4073594504734501, -0.10565591833728831, -0.21009433220606297, 0.22679681972367688, -0.015608764506760053, -0.10865012284484692, 0.1919139555480797, 0.2397149903990794, 0.09075673717306927, -0.07629073747175426, 0.04248542425120831, -0.04480740969302133, 0.2466973633523594, 0.09212840035324917, 0.0011568052519578486, 0.10253234892734327, 0.2747020957263885, 0.07057790593244136, 0.20386712594190612, -0.10950201881933026, -0.06273793418658898, -0.2092686754418537, -0.10713653517886997, -0.15259041158715264, 0.06208965246332809, -0.13749083650927788, -0.15965645634569228, 0.3749556228984147, 0.24141006470890716, 0.2465125593706034, 0.17554562870645896, 0.37495626830495893, 0.09776625068334396, 0.1525669450405985, 0.1500456361391116, 0.1442797695286572, -0.008262077730614692, 0.06937615214264951, -0.11330957732570823, 0.04803201305330731, 0.0569048433448188] |
1,802.07698 | Gaussian Free Field in the background of correlated random clusters,
formed by metallic nanoparticles | The effect of metallic nano-particles (MNPs) on the electrostatic potential
of a disordered 2D dielectric media is considered. The disorder in the media is
assumed to be white-noise Coulomb impurities with normal distribution. To
realize the correlations between the MNPs we have used the Ising model with an
artificial temperature $T$ that controls the number of MNPs as well as their
correlations. In the $T\rightarrow 0$ limit, one retrieves the Gaussian free
field (GFF), and in the finite temperature the problem is equivalent to a GFF
in iso-potential islands. The problem is argued to be equivalent to a
scale-invariant random surface with some critical exponents which vary with $T$
and correspondingly are correlation-dependent. Two type of observables have
been considered: local and global quantities. We have observed that the MNPs
soften the random potential and reduce its statistical fluctuations. This
softening is observed in the local as well as the geometrical quantities. The
correlation function of the electrostatic and its total variance are observed
to be logarithmic just like the GFF, i.e. the roughness exponent remains zero
for all temperatures, whereas the proportionality constants scale with $T-T_c$.
The fractal dimension of iso-potential lines ($D_f$), the exponent of the
distribution function of the gyration radius ($\tau_r$), and the loop lengths
($\tau_l$), and also the exponent of the loop Green function $x_l$ change in
terms of $T-T_c$ in a power-law fashion, with some critical exponents reported
in the text. Importantly we have observed that
$D_f(T)-D_f(T_c)\sim\frac{1}{\sqrt{\xi(T)}}$, in which $\xi(T)$ is the spin
correlation length in the Ising model.
| cond-mat.stat-mech | the effect of metallic nanoparticles mnps on the electrostatic potential of a disordered 2d dielectric media is considered the disorder in the media is assumed to be whitenoise coulomb impurities with normal distribution to realize the correlations between the mnps we have used the ising model with an artificial temperature t that controls the number of mnps as well as their correlations in the trightarrow 0 limit one retrieves the gaussian free field gff and in the finite temperature the problem is equivalent to a gff in isopotential islands the problem is argued to be equivalent to a scaleinvariant random surface with some critical exponents which vary with t and correspondingly are correlationdependent two type of observables have been considered local and global quantities we have observed that the mnps soften the random potential and reduce its statistical fluctuations this softening is observed in the local as well as the geometrical quantities the correlation function of the electrostatic and its total variance are observed to be logarithmic just like the gff ie the roughness exponent remains zero for all temperatures whereas the proportionality constants scale with tt_c the fractal dimension of isopotential lines d_f the exponent of the distribution function of the gyration radius tau_r and the loop lengths tau_l and also the exponent of the loop green function x_l change in terms of tt_c in a powerlaw fashion with some critical exponents reported in the text importantly we have observed that d_ftd_ft_csimfrac1sqrtxit in which xit is the spin correlation length in the ising model | [['the', 'effect', 'of', 'metallic', 'nanoparticles', 'mnps', 'on', 'the', 'electrostatic', 'potential', 'of', 'a', 'disordered', '2d', 'dielectric', 'media', 'is', 'considered', 'the', 'disorder', 'in', 'the', 'media', 'is', 'assumed', 'to', 'be', 'whitenoise', 'coulomb', 'impurities', 'with', 'normal', 'distribution', 'to', 'realize', 'the', 'correlations', 'between', 'the', 'mnps', 'we', 'have', 'used', 'the', 'ising', 'model', 'with', 'an', 'artificial', 'temperature', 't', 'that', 'controls', 'the', 'number', 'of', 'mnps', 'as', 'well', 'as', 'their', 'correlations', 'in', 'the', 'trightarrow', '0', 'limit', 'one', 'retrieves', 'the', 'gaussian', 'free', 'field', 'gff', 'and', 'in', 'the', 'finite', 'temperature', 'the', 'problem', 'is', 'equivalent', 'to', 'a', 'gff', 'in', 'isopotential', 'islands', 'the', 'problem', 'is', 'argued', 'to', 'be', 'equivalent', 'to', 'a', 'scaleinvariant', 'random', 'surface', 'with', 'some', 'critical', 'exponents', 'which', 'vary', 'with', 't', 'and', 'correspondingly', 'are', 'correlationdependent', 'two', 'type', 'of', 'observables', 'have', 'been', 'considered', 'local', 'and', 'global', 'quantities', 'we', 'have', 'observed', 'that', 'the', 'mnps', 'soften', 'the', 'random', 'potential', 'and', 'reduce', 'its', 'statistical', 'fluctuations', 'this', 'softening', 'is', 'observed', 'in', 'the', 'local', 'as', 'well', 'as', 'the', 'geometrical', 'quantities', 'the', 'correlation', 'function', 'of', 'the', 'electrostatic', 'and', 'its', 'total', 'variance', 'are', 'observed', 'to', 'be', 'logarithmic', 'just', 'like', 'the', 'gff', 'ie', 'the', 'roughness', 'exponent', 'remains', 'zero', 'for', 'all', 'temperatures', 'whereas', 'the', 'proportionality', 'constants', 'scale', 'with', 'tt_c', 'the', 'fractal', 'dimension', 'of', 'isopotential', 'lines', 'd_f', 'the', 'exponent', 'of', 'the', 'distribution', 'function', 'of', 'the', 'gyration', 'radius', 'tau_r', 'and', 'the', 'loop', 'lengths', 'tau_l', 'and', 'also', 'the', 'exponent', 'of', 'the', 'loop', 'green', 'function', 'x_l', 'change', 'in', 'terms', 'of', 'tt_c', 'in', 'a', 'powerlaw', 'fashion', 'with', 'some', 'critical', 'exponents', 'reported', 'in', 'the', 'text', 'importantly', 'we', 'have', 'observed', 'that', 'd_ftd_ft_csimfrac1sqrtxit', 'in', 'which', 'xit', 'is', 'the', 'spin', 'correlation', 'length', 'in', 'the', 'ising', 'model']] | [-0.12458647359675896, 0.21315804690973492, -0.07858893643481672, 0.07360835762476314, 0.0007998759660770838, -0.1461990346974422, 0.010868530102760721, 0.3711209101648268, -0.2706127109053713, -0.26145274402009044, 0.05381999577864946, -0.3242553638910332, -0.1221001390312747, 0.15691483689024752, 0.0329217274446869, 0.0747004543997654, -0.07631931555508746, 0.07148096252917532, -0.06118273873690618, -0.23009189055026252, 0.28936847517868197, 0.03537166890079581, 0.2910307684315618, 0.0848562353763612, 0.047196156854968606, -0.013332609384225345, 0.04407006716007352, 0.06337178381907893, -0.15843939261762935, 0.02752052970903405, 0.18478239006472855, -0.006065411650388699, 0.22477909438972046, -0.3744619656207524, -0.24029730478169645, 0.11600559804309893, 0.15866452949781587, 0.07861203411832364, 0.026092910135850515, -0.23470062253663068, 0.07080032592802034, -0.10753934677803934, -0.1611737741494742, -0.014844782677970417, 0.052612912522603236, 0.061478372110745055, -0.26719662571677893, 0.1430936692818572, 0.06010806833313206, 0.08288381525359344, -0.06477016880883703, -0.11462996523977646, -0.03384921991602723, 0.14430722723280512, 0.09460929154068247, 0.06597376908688975, 0.1814452140324146, -0.1352953491613313, -0.06400842552795624, 0.34570675897852, -0.06688430742154404, -0.1968620988544018, 0.15593495034093888, -0.1874293374176335, -0.06992594958979666, 0.13121276176497926, 0.11842656326590209, 0.07129656817621045, -0.13117838799440135, 0.11376096302937665, -0.004746917989489982, 0.17792615528387112, 0.04873654237530363, 0.05202253954210062, 0.17338360487263443, 0.12655325192870118, 0.040744634410256414, 0.16063857900953163, -0.09760088285758511, -0.10060003507097699, -0.2874083231408589, -0.14843322894917288, -0.22003939328394376, 0.06669266172959726, -0.1518430746372768, -0.23292982357180142, 0.3680543491199079, 0.1482546154623228, 0.22917017279885799, 0.06670979630865714, 0.2119465054958824, 0.15188738579979152, 0.10510688431205331, 0.06526656595506067, 0.22592177008682912, 0.15274828056278675, 0.12596604386234553, -0.2389906180589863, 0.078081613547704, 0.04903919924431899] |
1,802.07699 | Splay--density coupling in semiflexible main-chain nematic polymers with
hairpins | We establish a macroscopic description of the splay--density coupling in
semiflexible main-chain nematic polymers with hairpins, using a vectorial
continuity constraint for the "recovered" polar order of the chain tangents and
introducing chain backfolds (hairpins) as its new type of sources besides chain
ends. We treat both types of sources on a unified basis as a mixture of two
ideal gases with fixed composition. Performing detailed Monte Carlo simulations
of nematic monodomain melts of "soft" worm-like chains with variable length and
flexibility, we show via their structure factors that the chain backfolding
weakens the splay--density coupling, and demonstrate how this weakening can be
consistently quantified on the macroscopic level. We also probe and discuss the
deviations from the noninteracting gas idealization of the chain ends and
backfolds.
| cond-mat.soft | we establish a macroscopic description of the splaydensity coupling in semiflexible mainchain nematic polymers with hairpins using a vectorial continuity constraint for the recovered polar order of the chain tangents and introducing chain backfolds hairpins as its new type of sources besides chain ends we treat both types of sources on a unified basis as a mixture of two ideal gases with fixed composition performing detailed monte carlo simulations of nematic monodomain melts of soft wormlike chains with variable length and flexibility we show via their structure factors that the chain backfolding weakens the splaydensity coupling and demonstrate how this weakening can be consistently quantified on the macroscopic level we also probe and discuss the deviations from the noninteracting gas idealization of the chain ends and backfolds | [['we', 'establish', 'a', 'macroscopic', 'description', 'of', 'the', 'splaydensity', 'coupling', 'in', 'semiflexible', 'mainchain', 'nematic', 'polymers', 'with', 'hairpins', 'using', 'a', 'vectorial', 'continuity', 'constraint', 'for', 'the', 'recovered', 'polar', 'order', 'of', 'the', 'chain', 'tangents', 'and', 'introducing', 'chain', 'backfolds', 'hairpins', 'as', 'its', 'new', 'type', 'of', 'sources', 'besides', 'chain', 'ends', 'we', 'treat', 'both', 'types', 'of', 'sources', 'on', 'a', 'unified', 'basis', 'as', 'a', 'mixture', 'of', 'two', 'ideal', 'gases', 'with', 'fixed', 'composition', 'performing', 'detailed', 'monte', 'carlo', 'simulations', 'of', 'nematic', 'monodomain', 'melts', 'of', 'soft', 'wormlike', 'chains', 'with', 'variable', 'length', 'and', 'flexibility', 'we', 'show', 'via', 'their', 'structure', 'factors', 'that', 'the', 'chain', 'backfolding', 'weakens', 'the', 'splaydensity', 'coupling', 'and', 'demonstrate', 'how', 'this', 'weakening', 'can', 'be', 'consistently', 'quantified', 'on', 'the', 'macroscopic', 'level', 'we', 'also', 'probe', 'and', 'discuss', 'the', 'deviations', 'from', 'the', 'noninteracting', 'gas', 'idealization', 'of', 'the', 'chain', 'ends', 'and', 'backfolds']] | [-0.1532650354769785, 0.17888397254746377, -0.054184286279709844, 0.0505977181700717, -0.03325410020950333, -0.15071087057618954, 0.0503304586594364, 0.39819147713421804, -0.3130039955277329, -0.24330236927825746, 0.07398979088416459, -0.26052538772128764, -0.09179146412184568, 0.1363393594851581, 0.05920381005096242, 0.005904877391299308, 0.0355797258841737, -0.018689005843901294, -0.08501384658095373, -0.16606520557382365, 0.24922631680965424, 0.06658816560951432, 0.26195450442297974, 0.03742179388134945, 0.11849333785050284, 0.05409278279185537, 0.058767035217365114, 0.056306217229220926, -0.21162958232511064, 0.11022652642956625, 0.179358074083788, 0.004071272158147237, 0.17939181732415124, -0.4735608951593711, -0.2369819630781658, 0.08394592080612637, 0.14246043861783073, 0.14564974137725747, -0.004344441611849801, -0.2550181203627792, 0.016710925385416523, -0.18201943118942948, -0.17166662804509808, -0.10971481795612026, -0.05689512552102891, 0.10158228430881854, -0.2175302547161331, 0.10134376157846536, 0.08702181989887381, 0.10585416128056321, -0.028974217310646262, -0.0882468079370579, -0.04218077075826686, 0.08803295123303778, 0.07424352668998081, -0.010900431612413755, 0.1732288991078371, -0.12883937239790774, -0.10488945349475474, 0.36085933571060497, -0.08608006389633699, -0.19355397993259557, 0.2322038172032472, -0.10726538387589096, -0.14359675758523957, 0.13381764101152255, 0.09807539520770069, 0.08910910445227613, -0.14583518106265114, 0.06118207626050429, -0.021838449091249244, 0.20131839534676657, 0.050127868909706795, 0.014700554588116796, 0.23471209682842217, 0.21362687687472842, 0.005666830383877202, 0.24347987646857897, -0.08613269576969428, -0.14640687675238018, -0.3029925609859297, -0.2059342849363641, -0.16327376603489605, 0.03637474987322722, -0.12236550247911421, -0.19037034510865777, 0.36266737554139056, 0.1126304624630489, 0.19055387418910225, 0.08694729093477373, 0.22537981394708642, 0.027208845432075423, 0.022927895228083178, -0.0034420565225002243, 0.19979971976254166, 0.16446879079538904, 0.012579813516297476, -0.23693266338138744, 0.06252772604471178, 0.08796330957438767] |
1,802.077 | A rainbow blow-up lemma | We prove a rainbow version of the blow-up lemma of Koml\'os, S\'ark\"ozy and
Szemer\'edi for $\mu n$-bounded edge colourings. This enables the systematic
study of rainbow embeddings of bounded degree spanning subgraphs. As one
application, we show how our blow-up lemma can be used to transfer the
bandwidth theorem of B\"ottcher, Schacht and Taraz to the rainbow setting. It
can also be employed as a tool beyond the setting of $\mu n$-bounded edge
colourings. Kim, K\"uhn, Kupavskii and Osthus exploit this to prove several
rainbow decomposition results. Our proof methods include the strategy of an
alternative proof of the blow-up lemma given by R\"odl and Ruci\'nski, the
switching method, and the partial resampling algorithm developed by Harris and
Srinivasan.
| math.CO | we prove a rainbow version of the blowup lemma of komlos sarkozy and szemeredi for mu nbounded edge colourings this enables the systematic study of rainbow embeddings of bounded degree spanning subgraphs as one application we show how our blowup lemma can be used to transfer the bandwidth theorem of bottcher schacht and taraz to the rainbow setting it can also be employed as a tool beyond the setting of mu nbounded edge colourings kim kuhn kupavskii and osthus exploit this to prove several rainbow decomposition results our proof methods include the strategy of an alternative proof of the blowup lemma given by rodl and rucinski the switching method and the partial resampling algorithm developed by harris and srinivasan | [['we', 'prove', 'a', 'rainbow', 'version', 'of', 'the', 'blowup', 'lemma', 'of', 'komlos', 'sarkozy', 'and', 'szemeredi', 'for', 'mu', 'nbounded', 'edge', 'colourings', 'this', 'enables', 'the', 'systematic', 'study', 'of', 'rainbow', 'embeddings', 'of', 'bounded', 'degree', 'spanning', 'subgraphs', 'as', 'one', 'application', 'we', 'show', 'how', 'our', 'blowup', 'lemma', 'can', 'be', 'used', 'to', 'transfer', 'the', 'bandwidth', 'theorem', 'of', 'bottcher', 'schacht', 'and', 'taraz', 'to', 'the', 'rainbow', 'setting', 'it', 'can', 'also', 'be', 'employed', 'as', 'a', 'tool', 'beyond', 'the', 'setting', 'of', 'mu', 'nbounded', 'edge', 'colourings', 'kim', 'kuhn', 'kupavskii', 'and', 'osthus', 'exploit', 'this', 'to', 'prove', 'several', 'rainbow', 'decomposition', 'results', 'our', 'proof', 'methods', 'include', 'the', 'strategy', 'of', 'an', 'alternative', 'proof', 'of', 'the', 'blowup', 'lemma', 'given', 'by', 'rodl', 'and', 'rucinski', 'the', 'switching', 'method', 'and', 'the', 'partial', 'resampling', 'algorithm', 'developed', 'by', 'harris', 'and', 'srinivasan']] | [-0.12333500424219969, 0.02164617558941734, -0.14694249142399607, 0.1104884762864779, -0.1189224340565534, -0.14670204072251541, 0.11977425648071685, 0.30266630323995064, -0.28290102472298917, -0.31512579512821526, 0.0984736020723749, -0.250165095762154, -0.16892390447559164, 0.16358265682992315, -0.18352897005437427, 0.05590491666763771, 0.10648467340467482, -0.05196612328877907, 0.08680175481160649, -0.3198149216150035, 0.2669692202999468, -0.01632922699972361, 0.2216074739293266, 0.17103628349341765, 0.0367507342084804, 0.1036784606633567, -0.06005680892115631, 0.017337026149856254, -0.2530291835080926, 0.11882491058380414, 0.2658544612124938, 0.15063843161979018, 0.2941537324824378, -0.34287345880532966, -0.1627987887193801, 0.1486477966365569, 0.10721604083909285, 0.12906013176377332, 0.006235289281750677, -0.29887700846277865, 0.15554321403889096, -0.14148365095281726, -0.1573420104222419, -0.060906836575194565, 0.03342607261284309, 0.027697668001916604, -0.29488062777188645, 0.016199387024702628, 0.21993977588037922, 0.026306486549638526, 0.06887604476993575, -0.13734015141527692, -0.011271453167100539, 0.038847641527316214, -0.028618275286226746, 0.06378880153535356, 0.03365608799357374, -0.027200395308758774, -0.2245987805091784, 0.2743345975226277, -0.06444068433826461, -0.1353657399206383, 0.12413450678323294, -0.06447292562229794, -0.1707553340849944, 0.058818500074205776, 0.08295155481333617, 0.18295888212986855, -0.08323794173687196, 0.13084161451512932, -0.1369007637317316, 0.08349341155663759, 0.2610972339929152, 0.019525111285077425, 0.04937670570250381, 0.11037310506725888, 0.18046782798712932, 0.18183953179625653, 0.005142924900190169, 0.008081949018568051, -0.2468517962295343, -0.14827301859573908, -0.21578261157411674, 0.10464458004180185, -0.1722552580313812, -0.15927005666425498, 0.3768860689910254, 0.14542571791377262, 0.13989344288540237, 0.12620372509098604, 0.2406671110466279, 0.07262001009736241, -0.004846323469356329, 0.1425356829006757, 0.1356707918301162, 0.2507271939348586, 0.06848456399092655, -0.17174864841132043, 0.026544566665376936, 0.24558913097714422] |
1,802.07701 | Statistics on some classes of knot shadows | The present paper is concerned with the enumeration of the state diagrams for
some classes of knot shadows endowed with the usual connected sum operation. We
focus on shadows that are recursively generated by knot shadows with up to 3
crossings, and for which the enumeration problem is solved with the help of
generating polynomials.
| math.CO | the present paper is concerned with the enumeration of the state diagrams for some classes of knot shadows endowed with the usual connected sum operation we focus on shadows that are recursively generated by knot shadows with up to 3 crossings and for which the enumeration problem is solved with the help of generating polynomials | [['the', 'present', 'paper', 'is', 'concerned', 'with', 'the', 'enumeration', 'of', 'the', 'state', 'diagrams', 'for', 'some', 'classes', 'of', 'knot', 'shadows', 'endowed', 'with', 'the', 'usual', 'connected', 'sum', 'operation', 'we', 'focus', 'on', 'shadows', 'that', 'are', 'recursively', 'generated', 'by', 'knot', 'shadows', 'with', 'up', 'to', '3', 'crossings', 'and', 'for', 'which', 'the', 'enumeration', 'problem', 'is', 'solved', 'with', 'the', 'help', 'of', 'generating', 'polynomials']] | [-0.1794477436014197, 0.12172877148471095, -0.02243772762065584, 0.03447501667436551, -0.10423475871370598, -0.1143723669715903, 0.019235359028574418, 0.3700979850000956, -0.2806119834157554, -0.32552633238109674, 0.15489543453705581, -0.27263610884547235, -0.1594965484501286, 0.1898012025281787, -0.08269199988889424, 0.008415400592440909, 0.08616186310113831, 0.055935614319010216, -0.09546466261063787, -0.2552127114751122, 0.42526120408014817, -0.028576094691048968, 0.14303413177417082, 0.010508656357838349, 0.09703716886314478, 0.01244452991946177, -0.03947702813893557, 0.06005385572260076, -0.12643123860113767, 0.1655433217550374, 0.2590911926363002, 0.1395192075774751, 0.1257933052087372, -0.4116383624855768, -0.12308414073830301, 0.13411675159269096, 0.15413444518873637, 0.013492969213984907, -0.029791998823004012, -0.28288749554617837, 0.10114367925138636, -0.13135669214481657, -0.15561878060583365, -0.03771889582276344, -0.022097776864062658, 0.04429097372022542, -0.1861530913548036, -0.027563291076909413, 0.05871589585969394, 0.06614129121669314, -0.003152246176349846, -0.1213382050955922, 0.019834916124289687, 0.12843789919702844, 0.032850350227884274, 0.05299242557111111, 0.019730087285014717, -0.1720163209956478, -0.18895284643566065, 0.3780809835361486, 0.014954853997650472, -0.2535420321605422, 0.12731005625629968, -0.13139105028557507, -0.15577332464639437, 0.20304012918336825, 0.07536989778957584, 0.15414959822188723, -0.060627814196050164, 0.06867857249347832, -0.09737459267066284, 0.08472697565501386, 0.14230435308576986, -0.021660471766848457, 0.21329938834109766, 0.09383943556723269, 0.0760280406949195, 0.26351475906981664, -0.025588302326981317, -0.08005696140568365, -0.2866322339935736, -0.15154255750504406, -0.14086275398731232, 0.027550731362266975, -0.06735127682517156, -0.16276251629672267, 0.43311081230640414, 0.09550762542269446, 0.18664520812294955, 0.1749553489604626, 0.27315228445963424, 0.11573190639980814, 0.06511000970547849, 0.09000729066743092, 0.12528577634736643, 0.12948629321445795, 0.0028316120617091654, -0.1802502568303184, 0.040217878140339794, 0.1772727207450027] |
1,802.07702 | ARRIVAL: Next Stop in CLS | We study the computational complexity of ARRIVAL, a zero-player game on
$n$-vertex switch graphs introduced by Dohrau, G\"{a}rtner, Kohler,
Matou\v{s}ek, and Welzl. They showed that the problem of deciding termination
of this game is contained in $\text{NP} \cap \text{coNP}$. Karthik C. S.
recently introduced a search variant of ARRIVAL and showed that it is in the
complexity class PLS. In this work, we significantly improve the known upper
bounds for both the decision and the search variants of ARRIVAL.
First, we resolve a question suggested by Dohrau et al. and show that the
decision variant of ARRIVAL is in $\text{UP} \cap \text{coUP}$. Second, we
prove that the search variant of ARRIVAL is contained in CLS. Third, we give a
randomized $\mathcal{O}(1.4143^n)$-time algorithm to solve both variants.
Our main technical contributions are (a) an efficiently verifiable
characterization of the unique witness for termination of the ARRIVAL game, and
(b) an efficient way of sampling from the state space of the game. We show that
the problem of finding the unique witness is contained in CLS, whereas it was
previously conjectured to be FPSPACE-complete. The efficient sampling procedure
yields the first algorithm for the problem that has expected runtime
$\mathcal{O}(c^n)$ with $c<2$.
| cs.CC | we study the computational complexity of arrival a zeroplayer game on nvertex switch graphs introduced by dohrau gartner kohler matouvsek and welzl they showed that the problem of deciding termination of this game is contained in textnp cap textconp karthik c s recently introduced a search variant of arrival and showed that it is in the complexity class pls in this work we significantly improve the known upper bounds for both the decision and the search variants of arrival first we resolve a question suggested by dohrau et al and show that the decision variant of arrival is in textup cap textcoup second we prove that the search variant of arrival is contained in cls third we give a randomized mathcalo14143ntime algorithm to solve both variants our main technical contributions are a an efficiently verifiable characterization of the unique witness for termination of the arrival game and b an efficient way of sampling from the state space of the game we show that the problem of finding the unique witness is contained in cls whereas it was previously conjectured to be fpspacecomplete the efficient sampling procedure yields the first algorithm for the problem that has expected runtime mathcalocn with c2 | [['we', 'study', 'the', 'computational', 'complexity', 'of', 'arrival', 'a', 'zeroplayer', 'game', 'on', 'nvertex', 'switch', 'graphs', 'introduced', 'by', 'dohrau', 'gartner', 'kohler', 'matouvsek', 'and', 'welzl', 'they', 'showed', 'that', 'the', 'problem', 'of', 'deciding', 'termination', 'of', 'this', 'game', 'is', 'contained', 'in', 'textnp', 'cap', 'textconp', 'karthik', 'c', 's', 'recently', 'introduced', 'a', 'search', 'variant', 'of', 'arrival', 'and', 'showed', 'that', 'it', 'is', 'in', 'the', 'complexity', 'class', 'pls', 'in', 'this', 'work', 'we', 'significantly', 'improve', 'the', 'known', 'upper', 'bounds', 'for', 'both', 'the', 'decision', 'and', 'the', 'search', 'variants', 'of', 'arrival', 'first', 'we', 'resolve', 'a', 'question', 'suggested', 'by', 'dohrau', 'et', 'al', 'and', 'show', 'that', 'the', 'decision', 'variant', 'of', 'arrival', 'is', 'in', 'textup', 'cap', 'textcoup', 'second', 'we', 'prove', 'that', 'the', 'search', 'variant', 'of', 'arrival', 'is', 'contained', 'in', 'cls', 'third', 'we', 'give', 'a', 'randomized', 'mathcalo14143ntime', 'algorithm', 'to', 'solve', 'both', 'variants', 'our', 'main', 'technical', 'contributions', 'are', 'a', 'an', 'efficiently', 'verifiable', 'characterization', 'of', 'the', 'unique', 'witness', 'for', 'termination', 'of', 'the', 'arrival', 'game', 'and', 'b', 'an', 'efficient', 'way', 'of', 'sampling', 'from', 'the', 'state', 'space', 'of', 'the', 'game', 'we', 'show', 'that', 'the', 'problem', 'of', 'finding', 'the', 'unique', 'witness', 'is', 'contained', 'in', 'cls', 'whereas', 'it', 'was', 'previously', 'conjectured', 'to', 'be', 'fpspacecomplete', 'the', 'efficient', 'sampling', 'procedure', 'yields', 'the', 'first', 'algorithm', 'for', 'the', 'problem', 'that', 'has', 'expected', 'runtime', 'mathcalocn', 'with', 'c2']] | [-0.1092245727609459, 0.06894864299116757, -0.08399674051066804, 0.06896961558689411, -0.06117057176930926, -0.12307300487024345, 0.08651390356328531, 0.37147094929571617, -0.2808053339327465, -0.328352222245513, 0.10690626163292465, -0.23896095647294188, -0.15326330184782902, 0.1656860928351213, -0.10626859119469204, 0.03311919812689122, 0.06533838556443351, 0.02891113051722191, 0.013079940002368399, -0.29763648546176014, 0.25437347104619307, 0.055042120817683865, 0.22850214685649448, 0.05305423144942399, 0.09096511620692141, 0.026710932170636185, -0.027167720292915695, 0.030203091753400697, -0.1467744514979056, 0.10756922399291538, 0.21802714043392887, 0.2208809191325065, 0.2919875025417963, -0.341921451035887, -0.15250126392095706, 0.14197115798555218, 0.12021601675448822, 0.09461034449989326, -0.06435781452965625, -0.25974585213842466, 0.09923004978528419, -0.12112057708280603, -0.07762052860955909, -0.019852865649058398, 0.022087737349025215, -0.007327138577088637, -0.2942353370983499, -0.005248005707659272, 0.10162396023899663, -0.009795113141587264, -0.024856591164542495, -0.12190579148921539, 0.03063586396081181, 0.09182474036585808, 0.0010463626234379318, 0.06820078717530273, 0.02414594610106469, -0.06903579642578538, -0.20719643750890476, 0.3556438011558938, -0.048783667243959515, -0.13552474954463156, 0.14484002948114552, -0.10730396751578436, -0.20432371683280734, 0.13218726810624765, 0.1488848107281266, 0.14310827489162808, -0.13407775714811052, 0.12330041096405338, -0.11248219104426116, 0.14987133157897992, 0.0959470269207833, -0.01915996079093095, 0.0830385648602255, 0.17505520823430845, 0.15072698571920856, 0.16713965732841896, -0.044582153363249354, -0.07303646730754726, -0.26097298853493, -0.1927118670224145, -0.19284457739408983, 0.010279873783277712, -0.06481922750765418, -0.15452208612822285, 0.3695885740573393, 0.16992195934950152, 0.15596261741497466, 0.0964870019047761, 0.26989207601357135, 0.10477836044882088, -0.011894835148381126, 0.15898826025359178, 0.2073622456554938, 0.10381720627096395, 0.0753711946188597, -0.22693096750344452, 0.14445289271192374, 0.11297795427579087] |
1,802.07703 | Verifying detailed fluctuation relations for discrete
feedback-controlled quantum dynamics | Discrete quantum feedback control consists of a managed dynamics according to
the information acquired by a previous measurement. Energy fluctuations along
such dynamics satisfy generalized fluctuation relations, which are useful tools
to study the thermodynamics of systems far away from equilibrium. Due to the
practical challenge to assess energy fluctuations in the quantum scenario, the
experimental verification of detailed fluctuation relations in the presence of
feedback control remains elusive. We present a feasible method to
experimentally verify detailed fluctuation relations for discrete feedback
control quantum dynamics. Two detailed fluctuation relations are developed and
employed. The method is based on a quantum interferometric strategy that allows
the verification of fluctuation relations in the presence of feedback control.
An analytical example to illustrate the applicability of the method is
discussed. The comprehensive technique introduced here can be experimentally
implemented at a microscale with the current technology in a variety of
experimental platforms.
| quant-ph cond-mat.stat-mech | discrete quantum feedback control consists of a managed dynamics according to the information acquired by a previous measurement energy fluctuations along such dynamics satisfy generalized fluctuation relations which are useful tools to study the thermodynamics of systems far away from equilibrium due to the practical challenge to assess energy fluctuations in the quantum scenario the experimental verification of detailed fluctuation relations in the presence of feedback control remains elusive we present a feasible method to experimentally verify detailed fluctuation relations for discrete feedback control quantum dynamics two detailed fluctuation relations are developed and employed the method is based on a quantum interferometric strategy that allows the verification of fluctuation relations in the presence of feedback control an analytical example to illustrate the applicability of the method is discussed the comprehensive technique introduced here can be experimentally implemented at a microscale with the current technology in a variety of experimental platforms | [['discrete', 'quantum', 'feedback', 'control', 'consists', 'of', 'a', 'managed', 'dynamics', 'according', 'to', 'the', 'information', 'acquired', 'by', 'a', 'previous', 'measurement', 'energy', 'fluctuations', 'along', 'such', 'dynamics', 'satisfy', 'generalized', 'fluctuation', 'relations', 'which', 'are', 'useful', 'tools', 'to', 'study', 'the', 'thermodynamics', 'of', 'systems', 'far', 'away', 'from', 'equilibrium', 'due', 'to', 'the', 'practical', 'challenge', 'to', 'assess', 'energy', 'fluctuations', 'in', 'the', 'quantum', 'scenario', 'the', 'experimental', 'verification', 'of', 'detailed', 'fluctuation', 'relations', 'in', 'the', 'presence', 'of', 'feedback', 'control', 'remains', 'elusive', 'we', 'present', 'a', 'feasible', 'method', 'to', 'experimentally', 'verify', 'detailed', 'fluctuation', 'relations', 'for', 'discrete', 'feedback', 'control', 'quantum', 'dynamics', 'two', 'detailed', 'fluctuation', 'relations', 'are', 'developed', 'and', 'employed', 'the', 'method', 'is', 'based', 'on', 'a', 'quantum', 'interferometric', 'strategy', 'that', 'allows', 'the', 'verification', 'of', 'fluctuation', 'relations', 'in', 'the', 'presence', 'of', 'feedback', 'control', 'an', 'analytical', 'example', 'to', 'illustrate', 'the', 'applicability', 'of', 'the', 'method', 'is', 'discussed', 'the', 'comprehensive', 'technique', 'introduced', 'here', 'can', 'be', 'experimentally', 'implemented', 'at', 'a', 'microscale', 'with', 'the', 'current', 'technology', 'in', 'a', 'variety', 'of', 'experimental', 'platforms']] | [-0.13047978902546067, 0.09224216701705397, -0.1344943842664361, 0.08523284981803347, -0.07076945746162286, -0.12948831329122185, 0.06760960569450011, 0.3193236486365398, -0.281673320941627, -0.311698988750577, 0.10216375250058869, -0.2553444479670725, -0.140888717311124, 0.25401777724424995, -0.03446495110169053, 0.11254534249504407, 0.020911648548208178, -0.008154702237807215, -0.033607158936598956, -0.18052910764158392, 0.28467437335600454, 0.07920687119398886, 0.35530208427769444, 0.0534913692685465, 0.09549660232228538, 0.00013628907191256683, -0.048456948225696884, 0.032068699748439636, -0.15490720408372, 0.11715172657743096, 0.25294898595660925, 0.09554781126168867, 0.2879771794502934, -0.4370762637381752, -0.23435931305090588, 0.05428013724119713, 0.1283886486571282, 0.14714698296273127, -0.08900623988127336, -0.2720647477389624, 0.06628313014904658, -0.173634277669092, -0.14675186458664635, -0.1189330666551056, -0.019303566676874957, 0.016780518393352394, -0.24318648014217614, 0.06642155813984572, 0.02400953595332491, 0.07254621083848178, -0.043590644734989234, -0.02268823827927311, 0.00838855653690795, 0.15573855941183865, -0.05916122798187037, -0.0480585900034445, 0.16370518151049812, -0.10204262429848314, -0.1592832286019499, 0.36189837819586196, -0.014931428745621816, -0.20815745655136803, 0.18080510986813655, -0.10181677346738677, -0.1451089889307817, 0.09712854662910103, 0.15961381875599423, 0.08135522155712048, -0.201355527950606, 0.05161594167623358, 0.013301466659953198, 0.1883954000286758, -0.02846745644075175, 0.05088683355910083, 0.22940091848839075, 0.1879108161603411, 0.021236809307398897, 0.17245782241147634, -0.05791112003227075, -0.17869948249931136, -0.3123871822003275, -0.11101250806202491, -0.17605661664002886, 0.043236555736511945, -0.027015501161319358, -0.10438291979318214, 0.3694078554958105, 0.21252023198020956, 0.1368106371878336, 0.01543677219422534, 0.3500565278607731, 0.10960683594457805, 0.040645882729440926, 0.024431899817039568, 0.2691758398897946, 0.17288906358958533, 0.12727424256814024, -0.27677026360761375, 0.06558368584762017, 0.021153028599607448] |
1,802.07704 | On the Fr{\o}yshov invariant and monopole Lefschetz number | Given an involution on a rational homology 3-sphere $Y$ with quotient the
$3$-sphere, we prove a formula for the Lefschetz number of the map induced by
this involution in the reduced monopole Floer homology. This formula is
motivated by a variant of Witten's conjecture relating the Donaldson and
Seiberg--Witten invariants of 4-manifolds. A key ingredient is a
skein-theoretic argument, making use of an exact triangle in monopole Floer
homology, that computes the Lefschetz number in terms of the Murasugi signature
of the branch set and the sum of Fr{\o}yshov invariants associated to spin
structures on $Y$. We discuss various applications of our formula in gauge
theory, knot theory, contact geometry, and 4-dimensional topology.
| math.GT | given an involution on a rational homology 3sphere y with quotient the 3sphere we prove a formula for the lefschetz number of the map induced by this involution in the reduced monopole floer homology this formula is motivated by a variant of wittens conjecture relating the donaldson and seibergwitten invariants of 4manifolds a key ingredient is a skeintheoretic argument making use of an exact triangle in monopole floer homology that computes the lefschetz number in terms of the murasugi signature of the branch set and the sum of froyshov invariants associated to spin structures on y we discuss various applications of our formula in gauge theory knot theory contact geometry and 4dimensional topology | [['given', 'an', 'involution', 'on', 'a', 'rational', 'homology', '3sphere', 'y', 'with', 'quotient', 'the', '3sphere', 'we', 'prove', 'a', 'formula', 'for', 'the', 'lefschetz', 'number', 'of', 'the', 'map', 'induced', 'by', 'this', 'involution', 'in', 'the', 'reduced', 'monopole', 'floer', 'homology', 'this', 'formula', 'is', 'motivated', 'by', 'a', 'variant', 'of', 'wittens', 'conjecture', 'relating', 'the', 'donaldson', 'and', 'seibergwitten', 'invariants', 'of', '4manifolds', 'a', 'key', 'ingredient', 'is', 'a', 'skeintheoretic', 'argument', 'making', 'use', 'of', 'an', 'exact', 'triangle', 'in', 'monopole', 'floer', 'homology', 'that', 'computes', 'the', 'lefschetz', 'number', 'in', 'terms', 'of', 'the', 'murasugi', 'signature', 'of', 'the', 'branch', 'set', 'and', 'the', 'sum', 'of', 'froyshov', 'invariants', 'associated', 'to', 'spin', 'structures', 'on', 'y', 'we', 'discuss', 'various', 'applications', 'of', 'our', 'formula', 'in', 'gauge', 'theory', 'knot', 'theory', 'contact', 'geometry', 'and', '4dimensional', 'topology']] | [-0.2761208658906079, 0.030866307843387935, -0.14610678536520727, 0.1255731935390329, -0.09434027424230512, -0.15436542123572622, 0.015710377519171422, 0.25716214452301506, -0.30702794824708335, -0.29275408237183514, 0.03806046860094751, -0.2417986205453465, -0.2340941704043179, 0.1622038519471488, -0.1871678288778768, 0.0015716560399242207, 0.04262814957615549, 0.077727146212844, -0.10872601591405022, -0.2529973259887996, 0.39969414938241243, -0.04634677029453811, 0.17312590822791762, 0.159145319298635, 0.12748857538537245, 0.028387857959564545, -0.042312373485482106, -0.008965741842985153, -0.18383032991995146, 0.15123966422789129, 0.2594213990609994, 0.02186228854909325, 0.07460648224450055, -0.38948194960346527, -0.11513540660962462, 0.16710811215700103, 0.14059989718283503, 0.014919368451279877, -0.017374970740020538, -0.27824241848481174, 0.09085862839231844, -0.19175676609991135, -0.19333848741371185, -0.08763638204705398, 0.03551272670655981, -0.005603342749738852, -0.15264435280814964, -0.04228887111937578, 0.06759721497321024, 0.13646828353536866, -0.023665618437828613, -0.0707031047441461, -0.07923017112657725, 0.08584726540540732, 0.0645125520341428, 0.12470007963082959, 0.11361222217617704, -0.1458426134256992, -0.17083447042490002, 0.3379412837474879, -0.06890822159109918, -0.2662380194184329, 0.04413378766564801, -0.0811197399161756, -0.25069614665467393, 0.1646920868805486, -0.01783905364573002, 0.18988877159040585, -0.028361206297325876, 0.21602757715061718, -0.1262315579492236, 0.07341317975671088, 0.11115440001002455, -0.05503302785378378, 0.19780667603378538, 0.05708078361750968, 0.10644804169547505, 0.16146793946689736, -0.01574883387121166, -0.09107239364102417, -0.35440238083061654, -0.25491820332548887, -0.168301893247753, 0.1889499014787442, -0.15519192505309015, -0.1941320896725607, 0.3842624139403347, 0.02197169927072472, 0.18228606951826837, 0.1418439870354085, 0.27273191994638696, 0.050316636751542916, 0.044407058898689206, -0.0024940386142548736, 0.10474184252820348, 0.27251944048495025, -0.0010091561547983274, -0.160880781963583, -0.04641875956800923, 0.3582546373549025] |
1,802.07705 | Regularity results for a class of generalized surface quasi-geostrophic
equations | We show a global existence result of weak solutions for a class of
generalized Surface Quasi-Geostrophic equation in the inviscid case. We also
prove the global regularity of such solutions for the equation with slightly
supercritical dissipation, which turns out to correspond to a logarithmically
supercritical diffusion due to the singular nature of the velocity. Our last
result is the eventual regularity in the supercritical cases for such weak
solutions. The main idea in the proof of the existence part is based on
suitable commutator estimates along with a careful cutting into low/high
frequencies and inner/outer spatial scales to pass to the limit; while the
proof of both the global regularity result and the eventual regularity for the
supercritical diffusion are essentially based on the use of the so-called
modulus of continuity method.
| math.AP math-ph math.MP | we show a global existence result of weak solutions for a class of generalized surface quasigeostrophic equation in the inviscid case we also prove the global regularity of such solutions for the equation with slightly supercritical dissipation which turns out to correspond to a logarithmically supercritical diffusion due to the singular nature of the velocity our last result is the eventual regularity in the supercritical cases for such weak solutions the main idea in the proof of the existence part is based on suitable commutator estimates along with a careful cutting into lowhigh frequencies and innerouter spatial scales to pass to the limit while the proof of both the global regularity result and the eventual regularity for the supercritical diffusion are essentially based on the use of the socalled modulus of continuity method | [['we', 'show', 'a', 'global', 'existence', 'result', 'of', 'weak', 'solutions', 'for', 'a', 'class', 'of', 'generalized', 'surface', 'quasigeostrophic', 'equation', 'in', 'the', 'inviscid', 'case', 'we', 'also', 'prove', 'the', 'global', 'regularity', 'of', 'such', 'solutions', 'for', 'the', 'equation', 'with', 'slightly', 'supercritical', 'dissipation', 'which', 'turns', 'out', 'to', 'correspond', 'to', 'a', 'logarithmically', 'supercritical', 'diffusion', 'due', 'to', 'the', 'singular', 'nature', 'of', 'the', 'velocity', 'our', 'last', 'result', 'is', 'the', 'eventual', 'regularity', 'in', 'the', 'supercritical', 'cases', 'for', 'such', 'weak', 'solutions', 'the', 'main', 'idea', 'in', 'the', 'proof', 'of', 'the', 'existence', 'part', 'is', 'based', 'on', 'suitable', 'commutator', 'estimates', 'along', 'with', 'a', 'careful', 'cutting', 'into', 'lowhigh', 'frequencies', 'and', 'innerouter', 'spatial', 'scales', 'to', 'pass', 'to', 'the', 'limit', 'while', 'the', 'proof', 'of', 'both', 'the', 'global', 'regularity', 'result', 'and', 'the', 'eventual', 'regularity', 'for', 'the', 'supercritical', 'diffusion', 'are', 'essentially', 'based', 'on', 'the', 'use', 'of', 'the', 'socalled', 'modulus', 'of', 'continuity', 'method']] | [-0.12955935327406215, 0.04937110937207489, -0.10967155157577918, 0.06296095406615589, -0.076591703830693, -0.07463867982317295, 0.0221282660267911, 0.2571411963580246, -0.3057733489291504, -0.2217651134762997, 0.17660102957800114, -0.236997662329192, -0.1010190307861194, 0.2057630163862517, -0.031104572470951126, 0.07140988206947782, 0.06626874713325187, 0.023456562674583348, -0.05125858257979827, -0.22442022942468748, 0.39104962715865077, -0.017955474172984914, 0.27956434951646997, 0.08193956310790788, 0.08818426602905181, -0.01713067702108756, -0.015804752833525042, 0.0020409464422184265, -0.1884105527157286, 0.09865361632940296, 0.157025614100827, 0.024387732824779823, 0.2936476270171036, -0.4032449348080427, -0.20304263133863756, 0.09376859883742786, 0.14035340897910492, 0.11211773119009051, -0.027652813653860773, -0.2666655231417766, 0.13506049140359982, -0.07870009417568606, -0.22713946896304088, -0.04226348501511086, 0.00818199847817869, 0.09157862407076557, -0.29084319881814763, 0.13679134438695786, 0.15481969711363763, 0.0004991776751060234, -0.1353910692890448, -0.06289149737825855, -0.0668535362176345, 0.07524313375745949, 0.10243555986150903, -0.0069569075638533364, 0.061677963168297274, -0.15908814894553638, -0.028154934262786816, 0.3417866734973386, -0.08933884661147524, -0.228635379246303, 0.22623658910414723, -0.1333292102532223, -0.1439605108182177, 0.12998880548192596, 0.141247767020241, 0.13940242437393704, -0.0816096252082546, 0.09177734974082, -0.05827111599763813, 0.13220469463840687, 0.11037864007013745, 0.01990728648869615, 0.12484252465673533, 0.16762028301932982, 0.17702897674757706, 0.13655187402452743, -0.07657904904537056, -0.1229073660259128, -0.3601046618130198, -0.15759810332657026, -0.13963796099283754, 0.1127989835743057, -0.12776327035823115, -0.20601324542404564, 0.3731872166246106, 0.14463028924966834, 0.1970451412568415, 0.09292478483131758, 0.24957079013907596, 0.17058095231099069, 0.027786489029912122, 0.09833370200603415, 0.2674478505268917, 0.17064114850315554, 0.13351192105127344, -0.19444304341940502, 0.06257436816629611, 0.18689522975565573] |
1,802.07706 | Stability analysis and control chaos for fractional 5D Maxwell-Bloch
model | In this paper we investigate the dynamical behavior of fractional
differential system associated to 5D Maxwell-Bloch model in terms of fractional
Caputo derivatives.
| math.DS | in this paper we investigate the dynamical behavior of fractional differential system associated to 5d maxwellbloch model in terms of fractional caputo derivatives | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'dynamical', 'behavior', 'of', 'fractional', 'differential', 'system', 'associated', 'to', '5d', 'maxwellbloch', 'model', 'in', 'terms', 'of', 'fractional', 'caputo', 'derivatives']] | [-0.19234464981633684, -0.007147600509874199, -0.007297555713549904, 0.06749697116142868, -0.09469068548123291, -0.03483120621809655, -0.06674833340145161, 0.281233126702516, -0.31517925210621045, -0.2943409610053767, 0.09421756832212534, -0.3046321583020946, -0.24484816679488058, 0.10027791283336347, -0.14579938515089452, 0.1318448252328064, -0.07607444092307401, -0.00810541804758427, -0.1383221598908953, -0.17386038407035495, 0.3975810526424776, -0.05877506222737872, 0.10744204129213872, -0.07250635617453119, 0.148065480241633, -0.09378279123009871, -0.03454322635155657, -0.03581311213581458, -0.19762756027605222, 0.13289987348505986, 0.18404836450581966, -0.08508170023560524, 0.29996631359276565, -0.46179142399974493, -0.20377305635939474, 0.05206940323114395, 0.14321818781773682, 0.03273862268289794, 0.03763220653585766, -0.3379354302002036, 0.04197484311526236, -0.23894460515483565, -0.196976524008357, -0.07418929834080779, 0.03746575789283151, 0.04110798635520041, -0.24924436770379543, 0.17851051117253044, 0.04110214164171813, 0.02373627925534611, -0.15596657699864844, -0.08518725900364149, -0.018227036394502804, -0.0228133551047548, 0.045216297523280526, -0.06401899240344115, 0.0007872034228690293, -0.16490261425750088, -0.2092177105014739, 0.3844582791561666, -0.1819872784519406, -0.29908759470867075, 0.08665256979672806, -0.280383780112733, -0.1434501757764298, 0.08799430764401736, 0.23622249512244825, 0.211588933578004, -0.263744891418711, 0.1289063221167611, 0.029213109418101933, 0.16921514531840448, 0.048616496603126114, 0.12433825870570929, 0.09766347220410472, 0.17144159260003464, 0.042050506757653275, 0.1782863435699888, 0.04299656876474214, -0.24077050887939075, -0.3459485770891542, -0.278762535556503, -0.11038525362053643, 0.055787788461083954, -0.08281293924412002, -0.19799127526905225, 0.4140765381946593, 0.2278276568521624, 0.07589331657990166, 0.04719512265823458, 0.18096592245906915, 0.32510525854709355, -0.10876005280600942, -0.0956370486351459, 0.15318844264940076, 0.15343872158099775, 0.22300193839423035, -0.3665972037807755, 0.01588076891620522, 0.1961228040897328] |
1,802.07707 | Logarithmic means \dots]{On the N\"orlund logarithmic means with respect
to Vilenkin system in the martingale Hardy space $H_{1}$ | In this paper we prove and discuss a new divergence result of N\"orlund
logarithmic means with respect to Vilenkin system in Hardy space $H_1. $
| math.CA | in this paper we prove and discuss a new divergence result of norlund logarithmic means with respect to vilenkin system in hardy space h_1 | [['in', 'this', 'paper', 'we', 'prove', 'and', 'discuss', 'a', 'new', 'divergence', 'result', 'of', 'norlund', 'logarithmic', 'means', 'with', 'respect', 'to', 'vilenkin', 'system', 'in', 'hardy', 'space', 'h_1']] | [-0.12208009332365084, 0.09265279094688594, -0.09392459605199595, 0.07523276142213338, -0.05221131273234884, -0.06662874977337196, -0.0031426265959453303, 0.32319225231185555, -0.3309109453111887, -0.19328435362209953, 0.057617689608984314, -0.27282581641338766, -0.17223751979569593, 0.20169772549221912, -0.18901642136430988, 0.08948790786477427, 0.019904264869789284, 0.03498446253555206, -0.09860073231781523, -0.27421754381308955, 0.4372739593187968, -0.002473626441011826, 0.15651114612895375, 0.05914251477224752, 0.05284105788450688, -0.013691287211258896, -0.06614818695622186, -0.03433291022399013, -0.2711762642720714, 0.17463018577351855, 0.1662255362025462, 0.08028606087706673, 0.35651568695902824, -0.31789113689834875, -0.1392308718447263, 0.1938759425926643, 0.1697299765655771, 0.0010701828675034146, -0.039668106561293826, -0.3093074169009924, 0.04202218303301682, -0.1995409769200099, -0.21616825445865592, -0.1394820937033122, -0.023390990992387135, 0.01937776148164024, -0.31501967475439113, 0.08404147137965386, 0.07697220457096894, 0.08203462072803329, -0.08468271896708757, -0.07127379928230464, 0.0700297347890834, 0.00020852122300614914, 0.07127371647705634, 0.14699354519446692, 0.012609368364792317, -0.0648293228878174, -0.15304086676527126, 0.32713286112993956, -0.15441723073793887, -0.21752706387390694, 0.1079824670838813, -0.22872745614343634, -0.18464085463589677, -0.007920191623270512, 0.12448333731542031, 0.12300416080203529, -0.1159956898773089, 0.17665181180685371, -0.056514878291636705, 0.0855225349466006, 0.140834453709734, 0.08960158967723449, 0.0016578520492961009, 0.05818833928788081, 0.16109723009867594, 0.24273903326441845, 0.035912327624221994, -0.09104574772451694, -0.36976352085669834, -0.31793450777574134, -0.15788767541137835, 0.05582606311266621, -0.07957106909634604, -0.1448102801417311, 0.31859752075979486, 0.12249253763972472, 0.23707402351525766, 0.11008723677756886, 0.1657350925185407, 0.11024039300779502, 0.012482936804493269, 0.053051065343121685, 0.18418654419171313, 0.17162024439312518, 0.056548455031588674, -0.16621900881485394, -0.029727543025122333, 0.18143233301816508] |
1,802.07708 | A Radial Measurement of the Galaxy Tidal Alignment Magnitude with BOSS
Data | The anisotropy of galaxy clustering in redshift space has long been used to
probe the rate of growth of cosmological perturbations. However, if galaxies
are aligned by large-scale tidal fields, then a sample with an
orientation-dependent selection effect has an additional anisotropy imprinted
onto its correlation function. We use the LOWZ and CMASS catalogs of SDSS-III
BOSS Data Release 12 to divide galaxies into two sub-samples based on their
offset from the Fundamental Plane, which should be correlated with orientation.
These sub-samples must trace the same underlying cosmology, but have opposite
orientation-dependent selection effects. We measure the clustering parameters
of each sub-sample and compare them in order to calculate the dimensionless
parameter $B$, a measure of how strongly galaxies are aligned by gravitational
tidal fields. We found that for CMASS (LOWZ), the measured $B$ was $-0.024 \pm
0.015$ ($-0.030 \pm 0.016$). This result can be compared to the theoretical
predictions of Hirata 2009, who argued that since galaxy formation physics does
not depend on the direction of the observer, the same intrinsic alignment
parameters that describe galaxy-ellipticity correlations should also describe
intrinsic alignments in the radial direction. We find that the ratio of
observed to theoretical values is $0.51\pm 0.32$ ($0.77\pm0.41$) for CMASS
(LOWZ). We combine the results to obtain a total ${\rm {Obs}/{Theory}} =
0.61\pm 0.26$. This measurement constitutes evidence (between 2 and 3$\sigma$)
for radial intrinsic alignments, and is consistent with theoretical
expectations ($<2\sigma$ difference).
| astro-ph.CO | the anisotropy of galaxy clustering in redshift space has long been used to probe the rate of growth of cosmological perturbations however if galaxies are aligned by largescale tidal fields then a sample with an orientationdependent selection effect has an additional anisotropy imprinted onto its correlation function we use the lowz and cmass catalogs of sdssiii boss data release 12 to divide galaxies into two subsamples based on their offset from the fundamental plane which should be correlated with orientation these subsamples must trace the same underlying cosmology but have opposite orientationdependent selection effects we measure the clustering parameters of each subsample and compare them in order to calculate the dimensionless parameter b a measure of how strongly galaxies are aligned by gravitational tidal fields we found that for cmass lowz the measured b was 0024 pm 0015 0030 pm 0016 this result can be compared to the theoretical predictions of hirata 2009 who argued that since galaxy formation physics does not depend on the direction of the observer the same intrinsic alignment parameters that describe galaxyellipticity correlations should also describe intrinsic alignments in the radial direction we find that the ratio of observed to theoretical values is 051pm 032 077pm041 for cmass lowz we combine the results to obtain a total rm obstheory 061pm 026 this measurement constitutes evidence between 2 and 3sigma for radial intrinsic alignments and is consistent with theoretical expectations 2sigma difference | [['the', 'anisotropy', 'of', 'galaxy', 'clustering', 'in', 'redshift', 'space', 'has', 'long', 'been', 'used', 'to', 'probe', 'the', 'rate', 'of', 'growth', 'of', 'cosmological', 'perturbations', 'however', 'if', 'galaxies', 'are', 'aligned', 'by', 'largescale', 'tidal', 'fields', 'then', 'a', 'sample', 'with', 'an', 'orientationdependent', 'selection', 'effect', 'has', 'an', 'additional', 'anisotropy', 'imprinted', 'onto', 'its', 'correlation', 'function', 'we', 'use', 'the', 'lowz', 'and', 'cmass', 'catalogs', 'of', 'sdssiii', 'boss', 'data', 'release', '12', 'to', 'divide', 'galaxies', 'into', 'two', 'subsamples', 'based', 'on', 'their', 'offset', 'from', 'the', 'fundamental', 'plane', 'which', 'should', 'be', 'correlated', 'with', 'orientation', 'these', 'subsamples', 'must', 'trace', 'the', 'same', 'underlying', 'cosmology', 'but', 'have', 'opposite', 'orientationdependent', 'selection', 'effects', 'we', 'measure', 'the', 'clustering', 'parameters', 'of', 'each', 'subsample', 'and', 'compare', 'them', 'in', 'order', 'to', 'calculate', 'the', 'dimensionless', 'parameter', 'b', 'a', 'measure', 'of', 'how', 'strongly', 'galaxies', 'are', 'aligned', 'by', 'gravitational', 'tidal', 'fields', 'we', 'found', 'that', 'for', 'cmass', 'lowz', 'the', 'measured', 'b', 'was', '0024', 'pm', '0015', '0030', 'pm', '0016', 'this', 'result', 'can', 'be', 'compared', 'to', 'the', 'theoretical', 'predictions', 'of', 'hirata', '2009', 'who', 'argued', 'that', 'since', 'galaxy', 'formation', 'physics', 'does', 'not', 'depend', 'on', 'the', 'direction', 'of', 'the', 'observer', 'the', 'same', 'intrinsic', 'alignment', 'parameters', 'that', 'describe', 'galaxyellipticity', 'correlations', 'should', 'also', 'describe', 'intrinsic', 'alignments', 'in', 'the', 'radial', 'direction', 'we', 'find', 'that', 'the', 'ratio', 'of', 'observed', 'to', 'theoretical', 'values', 'is', '051pm', '032', '077pm041', 'for', 'cmass', 'lowz', 'we', 'combine', 'the', 'results', 'to', 'obtain', 'a', 'total', 'rm', 'obstheory', '061pm', '026', 'this', 'measurement', 'constitutes', 'evidence', 'between', '2', 'and', '3sigma', 'for', 'radial', 'intrinsic', 'alignments', 'and', 'is', 'consistent', 'with', 'theoretical', 'expectations', '2sigma', 'difference']] | [-0.09349791552819503, 0.11249538326284712, -0.09628539513636684, 0.10147825320543073, -0.11924789965656374, -0.06176916665553471, -0.0016523358824786774, 0.41721721223551506, -0.19159414112176187, -0.35124980964869773, 0.026057457683763822, -0.3199579255251202, -0.014435942285762133, 0.1793174907613082, -0.0020782739651497343, -0.02388892936803947, 0.019346008039291453, -0.07433129959068233, -0.06700610500692177, -0.2736236729665136, 0.2667572963882893, 0.07443975451374386, 0.28924623953654177, -0.042557879203187036, 0.0764210189666695, -0.03323060877884982, -0.09837481856761827, 0.030437493457170624, -0.22242945115755974, 0.032859997599997234, 0.20716070843271686, 0.1103235145954839, 0.23537776995522205, -0.3079906788057497, -0.14051736502552428, 0.12289044453638562, 0.19248781031469292, 0.1049853387811369, -0.05961609062291042, -0.27018902825727226, 0.08711156558321365, -0.13753577344176507, -0.11205390290968728, -0.001605625522159072, 0.05188232905115501, 0.026097650566516053, -0.2529574654129026, 0.19434396525514672, 0.007238804483626342, 0.042241744996875906, -0.100992527446118, -0.14260351886501127, -0.08829101592066493, 0.08641477038208475, 0.049519251461081853, 0.110666029603928, 0.15437177265894322, -0.08512391402613963, -0.05736497413170176, 0.40741790988574467, -0.07769330719619781, -0.11912608705261171, 0.13789102299510633, -0.1983385873591735, -0.16110037029580945, 0.06646984988871499, 0.1811741674268946, 0.0352589226519697, -0.15395770564199676, 0.03559583171656507, -0.0013238703662153861, 0.2543550608559739, 0.01356354863792578, 0.03116347421724609, 0.2797881246868185, 0.06509660993344969, 0.04788958987115199, 0.04583568629646842, -0.18936065931381285, 0.0063285960879800405, -0.2665572044191794, -0.08032734095730495, -0.15889792934323904, 0.07694626009385772, -0.14343391582464735, -0.10958085419378312, 0.34303141325560316, 0.15839263947097018, 0.2562080623538037, 0.06458843735200573, 0.28400081236419056, 0.07675547472150325, 0.09837771532907202, 0.03407887276661754, 0.3433029808247934, 0.1590068314870012, 0.021004645695486168, -0.23042300722138084, 0.10173419834206544, -0.013177505794257053] |
1,802.07709 | Magnonic Spin-Transfer Torque in Ferromagnet/Antiferromagnet/Ferromagnet
Trilayer | In an antiferromagnet (AF) with uniaxial anisotropy, spin-up and spin-down
magnons coexist and form an intrinsic degree of freedom resembling electrons.
When polarized by an adjacent ferromagnet (F), a magnonic pure spin current can
be thermally generated in an AF. We explore thermal magnon transport in an
insulating F/AF/F trilayer where propagating magnons inside the AF spacer can
transfer angular momenta between the two Fs. We find that a sufficiently large
temperature gradient can switch the downstream F via magnonic spin-transfer
torque if it is initially antiparallel with the upstream F. A reciprocal
switching is achievable by reversing the temperature gradient. Using typical
material parameters, we estimate the threshold to be less than 1 K/nm at room
temperature, which can be reduced by raising temperature and enhancing the
interfacial exchange coupling.
| cond-mat.mes-hall cond-mat.mtrl-sci quant-ph | in an antiferromagnet af with uniaxial anisotropy spinup and spindown magnons coexist and form an intrinsic degree of freedom resembling electrons when polarized by an adjacent ferromagnet f a magnonic pure spin current can be thermally generated in an af we explore thermal magnon transport in an insulating faff trilayer where propagating magnons inside the af spacer can transfer angular momenta between the two fs we find that a sufficiently large temperature gradient can switch the downstream f via magnonic spintransfer torque if it is initially antiparallel with the upstream f a reciprocal switching is achievable by reversing the temperature gradient using typical material parameters we estimate the threshold to be less than 1 knm at room temperature which can be reduced by raising temperature and enhancing the interfacial exchange coupling | [['in', 'an', 'antiferromagnet', 'af', 'with', 'uniaxial', 'anisotropy', 'spinup', 'and', 'spindown', 'magnons', 'coexist', 'and', 'form', 'an', 'intrinsic', 'degree', 'of', 'freedom', 'resembling', 'electrons', 'when', 'polarized', 'by', 'an', 'adjacent', 'ferromagnet', 'f', 'a', 'magnonic', 'pure', 'spin', 'current', 'can', 'be', 'thermally', 'generated', 'in', 'an', 'af', 'we', 'explore', 'thermal', 'magnon', 'transport', 'in', 'an', 'insulating', 'faff', 'trilayer', 'where', 'propagating', 'magnons', 'inside', 'the', 'af', 'spacer', 'can', 'transfer', 'angular', 'momenta', 'between', 'the', 'two', 'fs', 'we', 'find', 'that', 'a', 'sufficiently', 'large', 'temperature', 'gradient', 'can', 'switch', 'the', 'downstream', 'f', 'via', 'magnonic', 'spintransfer', 'torque', 'if', 'it', 'is', 'initially', 'antiparallel', 'with', 'the', 'upstream', 'f', 'a', 'reciprocal', 'switching', 'is', 'achievable', 'by', 'reversing', 'the', 'temperature', 'gradient', 'using', 'typical', 'material', 'parameters', 'we', 'estimate', 'the', 'threshold', 'to', 'be', 'less', 'than', '1', 'knm', 'at', 'room', 'temperature', 'which', 'can', 'be', 'reduced', 'by', 'raising', 'temperature', 'and', 'enhancing', 'the', 'interfacial', 'exchange', 'coupling']] | [-0.2383274344709487, 0.309155729142255, -0.011887478459483156, -0.020828739759655525, -0.09471964323176787, -0.15842679880487803, 0.0333678416424216, 0.42796411775052545, -0.33633385545645766, -0.2676915192690033, -0.00451752088444594, -0.30063125975788213, -0.048155829147883474, 0.20515236222686675, 0.0716044896783737, -0.09695943501563026, -0.05752446775575383, -0.012448320924662627, -0.07976588731309256, -0.17003814721336732, 0.2450829009185187, 0.018405232881195843, 0.30627241721376774, 0.06105978432684564, 0.06498597649355921, -0.004903259160570227, 0.1886982305261951, 0.01348783687728708, -0.13999734247811899, 0.0008722850461848654, 0.26049005656968804, -0.11750988571259838, 0.18235979026828247, -0.4696394640665788, -0.18626953840855723, 0.048069648125853674, 0.17820691848173736, 0.14085226972641138, -0.03178793370293883, -0.22925154403783382, 0.06947969870211987, -0.20538974636191806, -0.09397246569681626, -0.0872856951551512, -0.010989280439053591, 0.0018158173833328945, -0.28572990669367404, 0.10202628327802253, 0.12384581476664887, 0.09691906915708946, -0.06496616707971463, -0.11116251383836452, -0.17047591601999906, 0.044507885601846146, 0.052238860407557625, 0.11652837326535238, 0.17636020998828686, -0.13527997037610756, -0.09964203788325764, 0.25675291498370756, -0.10358622627603696, -0.16821678089551054, 0.12930423758135964, -0.1762831780880403, 0.041372544805590925, 0.15963171089712816, 0.11291286397295502, 0.0952323513929374, -0.15384046651228206, 0.05233881125862424, 0.014024591073393822, 0.19374114528047637, 0.09266647428202514, 0.025922921182623564, 0.3015698631025421, 0.1606076055045168, 0.08832444797769243, 0.19224759875528086, -0.12111485093258895, -0.02432645367136082, -0.1999271244294225, -0.14259583966161768, -0.24437829164179184, 0.11397054012083502, -0.12906855729804823, -0.11122683619793791, 0.3558885815535457, 0.15215081376865364, 0.16876301737502217, -0.07504527209810197, 0.306154836800236, 0.17455357350409031, 0.05775991152936163, 0.14848468985157803, 0.24958262500541212, 0.17241176284240703, 0.0762074511569853, -0.30941597665301884, 0.08751696712480715, -0.022342940849753527] |
1,802.0771 | Medical Volume Reconstruction Techniques | Medical visualization is the use of computers to create 3D images from
medical imaging data sets, almost all surgery and cancer treatment in the
developed world relies on it.Volume visualization techniques includes
iso-surface visualization, mesh visualization and point cloud visualization
techniques, these techniques have revolutionized medicine. Much of modern
medicine relies on the 3D imaging that is possible with magnetic resonance
imaging (MRI) scanners, functional magnetic resonance imaging (fMRI)scanners,
positron emission tomography (PET) scanners, ultrasound imaging (US) scanners,
X-Ray scanners, bio-marker microscopy imaging scanners and computed tomography
(CT) scanners, which make 3D images out of 2D slices. The primary goal of this
report is the application-oriented optimization of existing volume rendering
methods providing interactive frame rates. Techniques are presented for
traditional alpha-blending rendering, surface-shaded display, maximum intensity
projection (MIP), and fast previewing with fully interactive parameter control.
Different preprocessing strategies are proposed for interactive iso-surface
rendering and fast previewing, such as the well-known marching cube algorithm.
| cs.GR | medical visualization is the use of computers to create 3d images from medical imaging data sets almost all surgery and cancer treatment in the developed world relies on itvolume visualization techniques includes isosurface visualization mesh visualization and point cloud visualization techniques these techniques have revolutionized medicine much of modern medicine relies on the 3d imaging that is possible with magnetic resonance imaging mri scanners functional magnetic resonance imaging fmriscanners positron emission tomography pet scanners ultrasound imaging us scanners xray scanners biomarker microscopy imaging scanners and computed tomography ct scanners which make 3d images out of 2d slices the primary goal of this report is the applicationoriented optimization of existing volume rendering methods providing interactive frame rates techniques are presented for traditional alphablending rendering surfaceshaded display maximum intensity projection mip and fast previewing with fully interactive parameter control different preprocessing strategies are proposed for interactive isosurface rendering and fast previewing such as the wellknown marching cube algorithm | [['medical', 'visualization', 'is', 'the', 'use', 'of', 'computers', 'to', 'create', '3d', 'images', 'from', 'medical', 'imaging', 'data', 'sets', 'almost', 'all', 'surgery', 'and', 'cancer', 'treatment', 'in', 'the', 'developed', 'world', 'relies', 'on', 'itvolume', 'visualization', 'techniques', 'includes', 'isosurface', 'visualization', 'mesh', 'visualization', 'and', 'point', 'cloud', 'visualization', 'techniques', 'these', 'techniques', 'have', 'revolutionized', 'medicine', 'much', 'of', 'modern', 'medicine', 'relies', 'on', 'the', '3d', 'imaging', 'that', 'is', 'possible', 'with', 'magnetic', 'resonance', 'imaging', 'mri', 'scanners', 'functional', 'magnetic', 'resonance', 'imaging', 'fmriscanners', 'positron', 'emission', 'tomography', 'pet', 'scanners', 'ultrasound', 'imaging', 'us', 'scanners', 'xray', 'scanners', 'biomarker', 'microscopy', 'imaging', 'scanners', 'and', 'computed', 'tomography', 'ct', 'scanners', 'which', 'make', '3d', 'images', 'out', 'of', '2d', 'slices', 'the', 'primary', 'goal', 'of', 'this', 'report', 'is', 'the', 'applicationoriented', 'optimization', 'of', 'existing', 'volume', 'rendering', 'methods', 'providing', 'interactive', 'frame', 'rates', 'techniques', 'are', 'presented', 'for', 'traditional', 'alphablending', 'rendering', 'surfaceshaded', 'display', 'maximum', 'intensity', 'projection', 'mip', 'and', 'fast', 'previewing', 'with', 'fully', 'interactive', 'parameter', 'control', 'different', 'preprocessing', 'strategies', 'are', 'proposed', 'for', 'interactive', 'isosurface', 'rendering', 'and', 'fast', 'previewing', 'such', 'as', 'the', 'wellknown', 'marching', 'cube', 'algorithm']] | [0.01627629763894028, 0.015960833407007158, -0.060622268875273506, 0.07772368514423234, -0.09406114748899679, -0.19994903845393933, -0.06492248308074379, 0.45241727180301067, -0.2650735566249319, -0.3397936771446104, 0.1449790999107982, -0.2869841432701306, -0.13060360135798538, 0.29760456786913747, -0.08707602310929169, 0.14624321326539902, 0.13162873022405333, -0.08017548158348195, -0.028504586521624953, -0.1822632314318693, 0.2165556551435178, 0.029861412102993774, 0.4011013843854399, 0.02847763099156222, 0.09940031543201737, 0.10300922077639323, -0.10767771594921789, 0.011739065274780029, -0.10361294615823251, 0.15386279373687053, 0.3584866858988167, 0.27181360363274026, 0.26351410641923156, -0.47753358736180845, -0.24946919165086, 0.027890811950017354, 0.1964088171907382, 0.08047947243673996, -0.10874495809854891, -0.31257259047522795, 0.015810176788363606, -0.046966742174271006, -0.06408304501153332, -0.1690858254013093, -0.05304641483541529, -0.013940267917381502, -0.28545442814663, 0.06740588278166558, -0.057981503902977384, 0.18880226392004834, -0.12233778144735352, -0.053067493442396974, 0.05486896323150416, 0.15195496732025945, -0.03708008615649305, 0.09850868243895668, 0.22715833065970065, -0.18842156211337024, -0.16124253010217982, 0.33449457721833725, 0.08124300417808913, -0.14792396578674302, 0.25523592452794364, -0.11888744271556406, -0.07958594286556993, 0.21864166425534917, 0.16327882667476507, 0.1519421740545352, -0.1404511196627649, 0.04635530066681033, 0.04204457982345239, 0.20450412262921178, 0.06521514064852933, -0.014376453932766852, 0.13666933747529247, 0.2261021016816621, 0.02734600031889338, 0.12244688422000954, -0.2623719811871476, 0.0038345859559883954, -0.14457771653465706, -0.2058937241507872, -0.1787316570966811, 0.005648718100641609, -0.07167047788157345, -0.2231815011504008, 0.3237149686595474, 0.22657574411009831, 0.0824146902703337, -0.04560656911665941, 0.49643775600155715, -0.009566316833737992, 0.15926275249129454, -0.02300631960449544, 0.16789174163530238, 0.07641564971938926, 0.19632818537310845, -0.15540341324231122, 0.017274596124862956, 0.06186279954119144] |
1,802.07711 | The electromagnetic multipole moments of the charged open-flavor
$Z_{\bar cq}$ states | The electromagnetic multipole moments of the open-flavor $Z_{\bar cq}$ states
are investigated by assuming a diquark-antidiquark picture for their internal
structure and quantum numbers $J^{PC} = 1^{+-}$ for their spin-parity. In
particular, their magnetic and quadrupole moments are extracted in the
framework of light-cone QCD sum rule by the help of the photon distribution
amplitudes. The electromagnetic multipole moments of the open-flavor $Z_{\bar
cq}$ states are important dynamical observables, which encode valuable
information on their underlying structure. The results obtained for the
magnetic moments of different structures are considerably large and can be
measured in future experiments. We obtain very small values for the quadrupole
moments of $Z_{\bar cq}$ states indicating a nonspherical charge distribution.
| hep-ph hep-ex hep-lat | the electromagnetic multipole moments of the openflavor z_bar cq states are investigated by assuming a diquarkantidiquark picture for their internal structure and quantum numbers jpc 1 for their spinparity in particular their magnetic and quadrupole moments are extracted in the framework of lightcone qcd sum rule by the help of the photon distribution amplitudes the electromagnetic multipole moments of the openflavor z_bar cq states are important dynamical observables which encode valuable information on their underlying structure the results obtained for the magnetic moments of different structures are considerably large and can be measured in future experiments we obtain very small values for the quadrupole moments of z_bar cq states indicating a nonspherical charge distribution | [['the', 'electromagnetic', 'multipole', 'moments', 'of', 'the', 'openflavor', 'z_bar', 'cq', 'states', 'are', 'investigated', 'by', 'assuming', 'a', 'diquarkantidiquark', 'picture', 'for', 'their', 'internal', 'structure', 'and', 'quantum', 'numbers', 'jpc', '1', 'for', 'their', 'spinparity', 'in', 'particular', 'their', 'magnetic', 'and', 'quadrupole', 'moments', 'are', 'extracted', 'in', 'the', 'framework', 'of', 'lightcone', 'qcd', 'sum', 'rule', 'by', 'the', 'help', 'of', 'the', 'photon', 'distribution', 'amplitudes', 'the', 'electromagnetic', 'multipole', 'moments', 'of', 'the', 'openflavor', 'z_bar', 'cq', 'states', 'are', 'important', 'dynamical', 'observables', 'which', 'encode', 'valuable', 'information', 'on', 'their', 'underlying', 'structure', 'the', 'results', 'obtained', 'for', 'the', 'magnetic', 'moments', 'of', 'different', 'structures', 'are', 'considerably', 'large', 'and', 'can', 'be', 'measured', 'in', 'future', 'experiments', 'we', 'obtain', 'very', 'small', 'values', 'for', 'the', 'quadrupole', 'moments', 'of', 'z_bar', 'cq', 'states', 'indicating', 'a', 'nonspherical', 'charge', 'distribution']] | [-0.13798527641777406, 0.2091721700169473, -0.05821991666105755, 0.15712156583832806, -0.05272671712660476, -0.05194468680756951, 0.03072501593238772, 0.3493128371539346, -0.207105504544942, -0.30201234119911596, -0.019735064041972356, -0.271601909052646, -0.039571670390534816, 0.14616129057187782, 0.11963632543726514, 0.08042704557457207, 0.03609343386549307, 0.07039914026104829, -0.0630638163471431, -0.16414853478240649, 0.3305106606220075, 0.02250588815475471, 0.25504004550084736, 0.07837691210647392, 0.014023156313781152, 0.003935018157088116, 0.005452641355396624, -0.010485359067260697, -0.08859168165828012, 0.12242753072202679, 0.21488362784383067, 0.09418525300887332, 0.14275300591007659, -0.43210344904576214, -0.1508421470541834, 0.05370052111449472, 0.1339735527004099, 0.12294919799764134, -0.023117723095582045, -0.342201990422613, 0.11944279791286885, -0.16222954149308957, -0.15968730205898746, -0.20321401880222797, 0.033003081328627705, 0.08083232753836599, -0.3176658708457181, 0.10183360743573294, 0.055290385050108866, 0.0436688329730379, -0.08900464097397369, -0.2375380512584295, -0.037946379857889394, 0.10933996321992916, 0.030705373701557778, 0.022423884956974928, 0.13460521228006928, -0.17510908865829392, -0.143005280257121, 0.374406505700838, -0.002588740391697604, -0.2129114259508226, 0.059247217451532684, -0.2221955004671033, -0.13639075919299534, 0.11135760987312288, 0.1472909224562739, 0.14707850394443722, -0.1201132455311732, 0.06787481059559229, 0.011560686106238057, 0.11626339503849872, 0.06658573683735244, 0.1361516782556448, 0.28422115197437897, 0.050644262976691196, -0.0640650223858916, 0.10568931083636064, -0.09871880468920592, -0.10505466478500973, -0.29762272108673005, -0.09806661759993356, -0.199692559510208, 0.07002158907421849, -0.10185333285539457, -0.1031618550084858, 0.3946921554508439, 0.05651197538776487, 0.2144355649892404, -0.012292934008751456, 0.2611504873207754, 0.126165633437044, 0.06208544268207461, 0.036134888330196735, 0.27026409769773874, 0.22472250917027786, 0.08262736983287093, -0.25593854748366174, 0.06868019142073759, 0.01524065764980358] |
1,802.07712 | Condition numbers of stochastic mean payoff games and what they say
about nonarchimedean semidefinite programming | Semidefinite programming can be considered over any real closed field,
including fields of Puiseux series equipped with their nonarchimedean
valuation. Nonarchimedean semidefinite programs encode parametric families of
classical semidefinite programs, for sufficiently large values of the
parameter. Recently, a correspondence has been established between
nonarchimedean semidefinite programs and stochastic mean payoff games with
perfect information. This correspondence relies on tropical geometry. It allows
one to solve generic nonarchimedean semidefinite feasibility problems, of large
scale, by means of stochastic game algorithms. In this paper, we show that the
mean payoff of these games can be interpreted as a condition number for the
corresponding nonarchimedean feasibility problems. This number measures how
close a feasible instance is from being infeasible, and vice versa. We show
that it coincides with the maximal radius of a ball in Hilbert's projective
metric, that is included in the feasible set. The geometric interpretation of
the condition number relies in particular on a duality theorem for tropical
semidefinite feasibility programs. Then, we bound the complexity of the
feasibility problem in terms of the condition number. We finally give explicit
bounds for this condition number, in terms of the characteristics of the
stochastic game. As a consequence, we show that the simplest algorithm to
decide whether a stochastic mean payoff game is winning, namely value
iteration, has a pseudopolynomial complexity when the number of random
positions is fixed.
| math.OC cs.GT math.CO | semidefinite programming can be considered over any real closed field including fields of puiseux series equipped with their nonarchimedean valuation nonarchimedean semidefinite programs encode parametric families of classical semidefinite programs for sufficiently large values of the parameter recently a correspondence has been established between nonarchimedean semidefinite programs and stochastic mean payoff games with perfect information this correspondence relies on tropical geometry it allows one to solve generic nonarchimedean semidefinite feasibility problems of large scale by means of stochastic game algorithms in this paper we show that the mean payoff of these games can be interpreted as a condition number for the corresponding nonarchimedean feasibility problems this number measures how close a feasible instance is from being infeasible and vice versa we show that it coincides with the maximal radius of a ball in hilberts projective metric that is included in the feasible set the geometric interpretation of the condition number relies in particular on a duality theorem for tropical semidefinite feasibility programs then we bound the complexity of the feasibility problem in terms of the condition number we finally give explicit bounds for this condition number in terms of the characteristics of the stochastic game as a consequence we show that the simplest algorithm to decide whether a stochastic mean payoff game is winning namely value iteration has a pseudopolynomial complexity when the number of random positions is fixed | [['semidefinite', 'programming', 'can', 'be', 'considered', 'over', 'any', 'real', 'closed', 'field', 'including', 'fields', 'of', 'puiseux', 'series', 'equipped', 'with', 'their', 'nonarchimedean', 'valuation', 'nonarchimedean', 'semidefinite', 'programs', 'encode', 'parametric', 'families', 'of', 'classical', 'semidefinite', 'programs', 'for', 'sufficiently', 'large', 'values', 'of', 'the', 'parameter', 'recently', 'a', 'correspondence', 'has', 'been', 'established', 'between', 'nonarchimedean', 'semidefinite', 'programs', 'and', 'stochastic', 'mean', 'payoff', 'games', 'with', 'perfect', 'information', 'this', 'correspondence', 'relies', 'on', 'tropical', 'geometry', 'it', 'allows', 'one', 'to', 'solve', 'generic', 'nonarchimedean', 'semidefinite', 'feasibility', 'problems', 'of', 'large', 'scale', 'by', 'means', 'of', 'stochastic', 'game', 'algorithms', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'mean', 'payoff', 'of', 'these', 'games', 'can', 'be', 'interpreted', 'as', 'a', 'condition', 'number', 'for', 'the', 'corresponding', 'nonarchimedean', 'feasibility', 'problems', 'this', 'number', 'measures', 'how', 'close', 'a', 'feasible', 'instance', 'is', 'from', 'being', 'infeasible', 'and', 'vice', 'versa', 'we', 'show', 'that', 'it', 'coincides', 'with', 'the', 'maximal', 'radius', 'of', 'a', 'ball', 'in', 'hilberts', 'projective', 'metric', 'that', 'is', 'included', 'in', 'the', 'feasible', 'set', 'the', 'geometric', 'interpretation', 'of', 'the', 'condition', 'number', 'relies', 'in', 'particular', 'on', 'a', 'duality', 'theorem', 'for', 'tropical', 'semidefinite', 'feasibility', 'programs', 'then', 'we', 'bound', 'the', 'complexity', 'of', 'the', 'feasibility', 'problem', 'in', 'terms', 'of', 'the', 'condition', 'number', 'we', 'finally', 'give', 'explicit', 'bounds', 'for', 'this', 'condition', 'number', 'in', 'terms', 'of', 'the', 'characteristics', 'of', 'the', 'stochastic', 'game', 'as', 'a', 'consequence', 'we', 'show', 'that', 'the', 'simplest', 'algorithm', 'to', 'decide', 'whether', 'a', 'stochastic', 'mean', 'payoff', 'game', 'is', 'winning', 'namely', 'value', 'iteration', 'has', 'a', 'pseudopolynomial', 'complexity', 'when', 'the', 'number', 'of', 'random', 'positions', 'is', 'fixed']] | [-0.15685069411812558, 0.030260899568314147, -0.10296891365143344, 0.11202329572892085, -0.11623925341427424, -0.14917675594953764, 0.04850964211629029, 0.3135951830025388, -0.32522442178825106, -0.2840499070810569, 0.12988225518731913, -0.22022070050119844, -0.17571525001902474, 0.21211235682321428, -0.13161653222203026, 0.05271181836273108, 0.0341344892736687, 0.07768884730244698, -0.05992259733647303, -0.3131927676375866, 0.34443635019518465, -0.01270224204450626, 0.20672637448284173, 0.07596446630569362, 0.12916554041271908, 0.023769312029842726, 0.03630379347591234, 0.10540797881167951, -0.10877418770075076, 0.08113674874525256, 0.33218428235720665, 0.2488101303656728, 0.3590181221713731, -0.4321288264246747, -0.10528291970914368, 0.20664154070807728, 0.08376772318128903, 0.08329541453945259, -0.028318935641246202, -0.2530827922990554, 0.08583254630242243, -0.11158006505198842, -0.11416899267681692, -0.08011469386892157, 0.009856446382313089, 0.006425420979371367, -0.3085666625154526, -0.015595803307735374, 0.041030056834603174, 0.1017221117180703, -0.042819768658332834, -0.1285753649848566, 0.011400452596399787, 0.05434543222524978, 0.01894848783425255, 0.019301095067962647, 0.08718486263428908, -0.0830571274984807, -0.16826689767744799, 0.3389466557767157, -0.071660907600379, -0.23358343415547927, 0.13163390170831607, -0.12636449530631239, -0.12018951100773101, 0.12354728850580785, 0.1807980120110104, 0.1890698616020788, -0.0884110104838741, 0.16329231206073494, -0.16540834375537167, 0.13177347232793016, 0.08336433245674361, 0.030126490731882217, 0.17053079705961927, 0.11902627896509381, 0.16711133352875318, 0.17060123513224962, 0.01592559475915844, -0.1420178258685826, -0.3154466525208221, -0.1482040856176414, -0.20367045131995948, 0.05911084900988372, -0.14541054272952522, -0.16530603563614335, 0.37473884264340696, 0.12122236432453748, 0.1332012475793571, 0.17953894323441627, 0.2872920533892288, 0.13937583177175839, 0.015428240885032854, 0.06260158151935168, 0.17078136724590703, 0.18161286268989235, 0.06003484120907661, -0.2110348202056337, 0.0926951973739194, 0.12765268457231954] |
1,802.07713 | Cutting Lemma and Union Lemma for the Domination Game | Two new techniques are introduced into the theory of the domination game. The
cutting lemma bounds the game domination number of a partially dominated graph
with the game domination number of suitably modified partially dominated graph.
The union lemma bounds the S-game domination number of a disjoint union of
paths using appropriate weighting functions. Using these tools a conjecture
asserting that the so-called three legged spiders are game domination critical
graphs is proved. An extended cutting lemma is also derived and all game
domination critical trees on 18, 19, and 20 vertices are listed.
| math.CO | two new techniques are introduced into the theory of the domination game the cutting lemma bounds the game domination number of a partially dominated graph with the game domination number of suitably modified partially dominated graph the union lemma bounds the sgame domination number of a disjoint union of paths using appropriate weighting functions using these tools a conjecture asserting that the socalled three legged spiders are game domination critical graphs is proved an extended cutting lemma is also derived and all game domination critical trees on 18 19 and 20 vertices are listed | [['two', 'new', 'techniques', 'are', 'introduced', 'into', 'the', 'theory', 'of', 'the', 'domination', 'game', 'the', 'cutting', 'lemma', 'bounds', 'the', 'game', 'domination', 'number', 'of', 'a', 'partially', 'dominated', 'graph', 'with', 'the', 'game', 'domination', 'number', 'of', 'suitably', 'modified', 'partially', 'dominated', 'graph', 'the', 'union', 'lemma', 'bounds', 'the', 'sgame', 'domination', 'number', 'of', 'a', 'disjoint', 'union', 'of', 'paths', 'using', 'appropriate', 'weighting', 'functions', 'using', 'these', 'tools', 'a', 'conjecture', 'asserting', 'that', 'the', 'socalled', 'three', 'legged', 'spiders', 'are', 'game', 'domination', 'critical', 'graphs', 'is', 'proved', 'an', 'extended', 'cutting', 'lemma', 'is', 'also', 'derived', 'and', 'all', 'game', 'domination', 'critical', 'trees', 'on', '18', '19', 'and', '20', 'vertices', 'are', 'listed']] | [-0.1718343322325538, 0.18878308392861504, -0.10973056844405589, 0.10575031020718637, -0.1062567079970513, -0.1363467310094625, 0.08540468977799298, 0.25476885757218765, -0.287303516180605, -0.3627932710392821, 0.1303625398025077, -0.3176590833131985, -0.13354995122720156, 0.15402572838369236, -0.11731180123564217, 0.010031444896813683, 0.08907131798895856, 0.02466109393775383, 0.14752140749115697, -0.3460185410365993, 0.35279827010049547, -0.07676112866129285, 0.21107494223221976, 0.07256556936209241, 0.05706496769061652, 0.05850238065605843, -0.08329906865894314, 0.1341741187410349, -0.22057380162028317, 0.10427533690467157, 0.23566824948335047, 0.22859764631376953, 0.3059670017651653, -0.41047610074121466, -0.10554523367725152, 0.21687307723507446, 0.09374186149748262, 0.019842791020549755, 0.01287987617830876, -0.24515830674358913, 0.08179365912632595, -0.13694910218398418, -0.07529784265344822, 0.03316340800775315, 0.0030150918480289237, 0.03233532285347821, -0.25464836874180624, -0.059104849674841586, 0.062389968964521605, 0.048866283173562695, 0.024423613468365322, -0.1760101160835675, -0.0694657349558447, 0.07929057308713035, -0.05536946071992799, 0.00388613127432363, 0.07558326537330304, -0.13443146967479297, -0.2110081405306275, 0.3179949706179961, -0.003779453107766727, -0.09232068782351831, 0.11789697900124055, -0.05525443005586489, -0.1737137537209257, 0.13318050196093897, 0.0877980174276457, 0.15259087471271393, -0.13513006432162178, 0.10209140885916729, -0.10256741774050639, 0.07669341988781447, 0.19695071019332416, -0.0074807828622719934, 0.11093497162144031, 0.12444246123715114, 0.16675058394790657, 0.19879866746424507, 0.028471520183087195, -0.12031587243821192, -0.2938011835619647, -0.06152321639976474, -0.2030847928679538, 0.010030426258992364, -0.2354850835333984, -0.2333779613141932, 0.374585118164779, 0.07380171436616169, 0.09658592715058276, 0.13743994568264292, 0.2540170841935461, 0.11522484032977973, 0.013196716705958048, 0.1524435932978347, 0.16087175128225398, 0.2716886620087329, 0.024143363053720165, -0.07805312646087259, 0.04105670971455433, 0.21212174619738294] |
1,802.07714 | Detecting Learning vs Memorization in Deep Neural Networks using Shared
Structure Validation Sets | The roles played by learning and memorization represent an important topic in
deep learning research. Recent work on this subject has shown that the
optimization behavior of DNNs trained on shuffled labels is qualitatively
different from DNNs trained with real labels. Here, we propose a novel
permutation approach that can differentiate memorization from learning in deep
neural networks (DNNs) trained as usual (i.e., using the real labels to guide
the learning, rather than shuffled labels). The evaluation of weather the DNN
has learned and/or memorized, happens in a separate step where we compare the
predictive performance of a shallow classifier trained with the features
learned by the DNN, against multiple instances of the same classifier, trained
on the same input, but using shuffled labels as outputs. By evaluating these
shallow classifiers in validation sets that share structure with the training
set, we are able to tell apart learning from memorization. Application of our
permutation approach to multi-layer perceptrons and convolutional neural
networks trained on image data corroborated many findings from other groups.
Most importantly, our illustrations also uncovered interesting dynamic patterns
about how DNNs memorize over increasing numbers of training epochs, and support
the surprising result that DNNs are still able to learn, rather than only
memorize, when trained with pure Gaussian noise as input.
| stat.ML cs.LG | the roles played by learning and memorization represent an important topic in deep learning research recent work on this subject has shown that the optimization behavior of dnns trained on shuffled labels is qualitatively different from dnns trained with real labels here we propose a novel permutation approach that can differentiate memorization from learning in deep neural networks dnns trained as usual ie using the real labels to guide the learning rather than shuffled labels the evaluation of weather the dnn has learned andor memorized happens in a separate step where we compare the predictive performance of a shallow classifier trained with the features learned by the dnn against multiple instances of the same classifier trained on the same input but using shuffled labels as outputs by evaluating these shallow classifiers in validation sets that share structure with the training set we are able to tell apart learning from memorization application of our permutation approach to multilayer perceptrons and convolutional neural networks trained on image data corroborated many findings from other groups most importantly our illustrations also uncovered interesting dynamic patterns about how dnns memorize over increasing numbers of training epochs and support the surprising result that dnns are still able to learn rather than only memorize when trained with pure gaussian noise as input | [['the', 'roles', 'played', 'by', 'learning', 'and', 'memorization', 'represent', 'an', 'important', 'topic', 'in', 'deep', 'learning', 'research', 'recent', 'work', 'on', 'this', 'subject', 'has', 'shown', 'that', 'the', 'optimization', 'behavior', 'of', 'dnns', 'trained', 'on', 'shuffled', 'labels', 'is', 'qualitatively', 'different', 'from', 'dnns', 'trained', 'with', 'real', 'labels', 'here', 'we', 'propose', 'a', 'novel', 'permutation', 'approach', 'that', 'can', 'differentiate', 'memorization', 'from', 'learning', 'in', 'deep', 'neural', 'networks', 'dnns', 'trained', 'as', 'usual', 'ie', 'using', 'the', 'real', 'labels', 'to', 'guide', 'the', 'learning', 'rather', 'than', 'shuffled', 'labels', 'the', 'evaluation', 'of', 'weather', 'the', 'dnn', 'has', 'learned', 'andor', 'memorized', 'happens', 'in', 'a', 'separate', 'step', 'where', 'we', 'compare', 'the', 'predictive', 'performance', 'of', 'a', 'shallow', 'classifier', 'trained', 'with', 'the', 'features', 'learned', 'by', 'the', 'dnn', 'against', 'multiple', 'instances', 'of', 'the', 'same', 'classifier', 'trained', 'on', 'the', 'same', 'input', 'but', 'using', 'shuffled', 'labels', 'as', 'outputs', 'by', 'evaluating', 'these', 'shallow', 'classifiers', 'in', 'validation', 'sets', 'that', 'share', 'structure', 'with', 'the', 'training', 'set', 'we', 'are', 'able', 'to', 'tell', 'apart', 'learning', 'from', 'memorization', 'application', 'of', 'our', 'permutation', 'approach', 'to', 'multilayer', 'perceptrons', 'and', 'convolutional', 'neural', 'networks', 'trained', 'on', 'image', 'data', 'corroborated', 'many', 'findings', 'from', 'other', 'groups', 'most', 'importantly', 'our', 'illustrations', 'also', 'uncovered', 'interesting', 'dynamic', 'patterns', 'about', 'how', 'dnns', 'memorize', 'over', 'increasing', 'numbers', 'of', 'training', 'epochs', 'and', 'support', 'the', 'surprising', 'result', 'that', 'dnns', 'are', 'still', 'able', 'to', 'learn', 'rather', 'than', 'only', 'memorize', 'when', 'trained', 'with', 'pure', 'gaussian', 'noise', 'as', 'input']] | [0.012702407832474037, 0.027309211543395703, -0.06907499309975741, 0.0973538120082298, -0.12586852152761463, -0.24118121450680285, 0.05727263866533894, 0.47272896854163604, -0.27881067767468565, -0.3360661154201384, 0.03851958151810619, -0.2835371359489685, -0.2420090436058249, 0.19435662954414892, -0.12701068124571424, 0.091920340762387, 0.164398026103587, 0.09374402362073576, -0.05520385335210364, -0.3631554794248713, 0.33799810306910905, 0.027599382605999274, 0.33675450296032916, -0.07368737166357595, 0.11312742469409957, -0.05695353639420382, -0.018003019746826138, -0.009479081899274227, -0.010440054690319136, 0.16770913254383, 0.34721922438461766, 0.20071861377678984, 0.3474866721183495, -0.46230496382124203, -0.22306424018515403, 0.10711286662276401, 0.14181365815863056, 0.10112845082767308, -0.010277152992784977, -0.37097161744482987, 0.09936841240499256, -0.12947290112199478, 0.059006005484437525, -0.1626723838970065, -0.041961735625599704, 0.0013758626130279587, -0.2635620930418914, -0.018759124568219536, 0.10578375369510722, 0.09101996680851593, -0.052047956586533856, -0.14299387591999285, -0.038720663874085216, 0.18221149809054793, 0.07061104368483431, 0.07010375043312304, 0.1430927290104676, -0.2032434970497825, -0.14465172185974065, 0.3159743348439766, -0.05823588181398051, -0.19589767299895716, 0.2039036509115249, -0.012544096895861764, -0.1495233578493732, 0.08233867880000278, 0.24893304236059965, 0.07600228223992989, -0.1392606596695936, -0.04972820801871591, -0.0802804583488682, 0.19810891182400112, 0.06983376369746619, -0.0386140312122311, 0.1685915833972611, 0.2591631478619177, -0.033011912141092725, 0.17008446770812233, -0.13053091586307558, -0.07441825350464949, -0.2101683916591736, -0.013917375576877316, -0.25488357274836404, 0.029138429177015326, -0.12009999685532273, -0.14436621151689905, 0.40391452227567515, 0.24897206646152015, 0.2560794072290666, 0.16516249666293692, 0.3192007320045039, -0.007704342052619363, 0.1769883554488377, 0.12144510676911058, 0.17338408357572072, 0.04262547422861031, 0.11952766767204848, -0.11757455715519745, 0.15135354927556893, 0.024423896774736255] |
1,802.07715 | Theory of open quantum dynamics with hybrid noise | We develop a theory to describe dynamics of a non-stationary open quantum
system interacting with a hybrid environment, which includes high-frequency and
low-frequency noise components. One part of the system-bath interaction is
treated in a perturbative manner, whereas the other part is considered exactly.
This approach allows us to derive a set of master equations where the
relaxation rates are expressed as convolutions of the Bloch-Redfield and Marcus
formulas. Our theory enables analysis of systems that have extremely small
energy gaps in the presence of a realistic environment. As an illustration, we
apply the theory to the 16-qubit quantum annealing problem with dangling qubits
and show good agreement with experimental results.
| quant-ph cond-mat.stat-mech | we develop a theory to describe dynamics of a nonstationary open quantum system interacting with a hybrid environment which includes highfrequency and lowfrequency noise components one part of the systembath interaction is treated in a perturbative manner whereas the other part is considered exactly this approach allows us to derive a set of master equations where the relaxation rates are expressed as convolutions of the blochredfield and marcus formulas our theory enables analysis of systems that have extremely small energy gaps in the presence of a realistic environment as an illustration we apply the theory to the 16qubit quantum annealing problem with dangling qubits and show good agreement with experimental results | [['we', 'develop', 'a', 'theory', 'to', 'describe', 'dynamics', 'of', 'a', 'nonstationary', 'open', 'quantum', 'system', 'interacting', 'with', 'a', 'hybrid', 'environment', 'which', 'includes', 'highfrequency', 'and', 'lowfrequency', 'noise', 'components', 'one', 'part', 'of', 'the', 'systembath', 'interaction', 'is', 'treated', 'in', 'a', 'perturbative', 'manner', 'whereas', 'the', 'other', 'part', 'is', 'considered', 'exactly', 'this', 'approach', 'allows', 'us', 'to', 'derive', 'a', 'set', 'of', 'master', 'equations', 'where', 'the', 'relaxation', 'rates', 'are', 'expressed', 'as', 'convolutions', 'of', 'the', 'blochredfield', 'and', 'marcus', 'formulas', 'our', 'theory', 'enables', 'analysis', 'of', 'systems', 'that', 'have', 'extremely', 'small', 'energy', 'gaps', 'in', 'the', 'presence', 'of', 'a', 'realistic', 'environment', 'as', 'an', 'illustration', 'we', 'apply', 'the', 'theory', 'to', 'the', '16qubit', 'quantum', 'annealing', 'problem', 'with', 'dangling', 'qubits', 'and', 'show', 'good', 'agreement', 'with', 'experimental', 'results']] | [-0.13637917641516742, 0.0917627221606053, -0.08971866117612047, 0.06010154897566289, -0.007932664738414256, -0.14717261030061826, 0.03234362793637456, 0.3248581631394388, -0.23460548912040755, -0.30188997825272046, 0.06424867317525183, -0.27438548450824396, -0.16047322466919148, 0.19982434313970845, -0.017756748445691785, 0.04359913244843483, 0.08154018516945946, 0.015288561865737712, -0.028344617988746445, -0.19917023434463116, 0.2737705950490996, 0.03650124441740011, 0.24914737885633298, 0.02461438168779955, 0.09900255352971857, 0.02849383808898966, 0.01953385844443891, 0.012048503841265096, -0.08816848941985571, 0.11703410193319894, 0.28573682681114104, 0.03543285404222908, 0.27381891987143875, -0.4624289121512357, -0.21436640126462858, 0.026682287213384167, 0.12378052581596684, 0.18632847864730367, -0.024001526587583998, -0.26963807354043534, 0.02634016213401615, -0.20681991136574127, -0.16152926114480104, -0.12010813485998828, -0.007926620358416627, 0.008180474317087247, -0.29535487519895975, 0.0980369687071993, 0.03724100634556364, 0.001590409534270162, -0.07114127746139241, -0.06847427680832543, 0.05536318766288795, 0.1411600599090594, 0.003797615888771844, 0.01021671827530136, 0.14432031947800572, -0.102486890537228, -0.11254427588737763, 0.3753244387455755, -0.0941074645704682, -0.20631704424289768, 0.2314701791315734, -0.11191031323359893, -0.12510463047110862, 0.08124876810606939, 0.13712762777383128, 0.12355318931267001, -0.1866346234749365, 0.1253873686466643, -0.011723422579601541, 0.17726120596378203, 0.0010276168840727558, 0.0640594759123659, 0.15508294494839403, 0.16803310091632442, 0.026182222401821328, 0.1886951045981642, -0.03940528875367867, -0.1688311711826303, -0.3198785448094478, -0.13389208583110893, -0.1632139308248051, 0.07820588044260067, -0.04626948551680192, -0.20004436238626908, 0.3788563266295839, 0.16587597163087847, 0.17500295786203834, 0.05003132414899196, 0.2876248843212788, 0.1702561271441146, 0.031908545408162986, 0.061876166771325444, 0.1966021310638737, 0.17850115952954568, 0.07884974118221451, -0.2442118962597404, 0.017415851740552497, 0.035636687298884265] |
1,802.07716 | Sampling real algebraic varieties for topological data analysis | Topological data analysis (TDA) provides a growing body of tools for
computing geometric and topological information about spaces from a finite
sample of points. We present a new adaptive algorithm for finding provably
dense samples of points on real algebraic varieties given a set of defining
polynomials. The algorithm utilizes methods from numerical algebraic geometry
to give formal guarantees about the density of the sampling and it also employs
geometric heuristics to reduce the size of the sample. As TDA methods consume
significant computational resources that scale poorly in the number of sample
points, our sampling minimization makes applying TDA methods more feasible. We
provide a software package that implements the algorithm and also demonstrate
the implementation with several examples.
| math.AT math.AG math.NA | topological data analysis tda provides a growing body of tools for computing geometric and topological information about spaces from a finite sample of points we present a new adaptive algorithm for finding provably dense samples of points on real algebraic varieties given a set of defining polynomials the algorithm utilizes methods from numerical algebraic geometry to give formal guarantees about the density of the sampling and it also employs geometric heuristics to reduce the size of the sample as tda methods consume significant computational resources that scale poorly in the number of sample points our sampling minimization makes applying tda methods more feasible we provide a software package that implements the algorithm and also demonstrate the implementation with several examples | [['topological', 'data', 'analysis', 'tda', 'provides', 'a', 'growing', 'body', 'of', 'tools', 'for', 'computing', 'geometric', 'and', 'topological', 'information', 'about', 'spaces', 'from', 'a', 'finite', 'sample', 'of', 'points', 'we', 'present', 'a', 'new', 'adaptive', 'algorithm', 'for', 'finding', 'provably', 'dense', 'samples', 'of', 'points', 'on', 'real', 'algebraic', 'varieties', 'given', 'a', 'set', 'of', 'defining', 'polynomials', 'the', 'algorithm', 'utilizes', 'methods', 'from', 'numerical', 'algebraic', 'geometry', 'to', 'give', 'formal', 'guarantees', 'about', 'the', 'density', 'of', 'the', 'sampling', 'and', 'it', 'also', 'employs', 'geometric', 'heuristics', 'to', 'reduce', 'the', 'size', 'of', 'the', 'sample', 'as', 'tda', 'methods', 'consume', 'significant', 'computational', 'resources', 'that', 'scale', 'poorly', 'in', 'the', 'number', 'of', 'sample', 'points', 'our', 'sampling', 'minimization', 'makes', 'applying', 'tda', 'methods', 'more', 'feasible', 'we', 'provide', 'a', 'software', 'package', 'that', 'implements', 'the', 'algorithm', 'and', 'also', 'demonstrate', 'the', 'implementation', 'with', 'several', 'examples']] | [-0.10036280401400291, -0.013777605482997994, -0.16602736162797857, 0.08197281790198759, -0.11114151213938991, -0.1267222390413129, 0.11279872562736273, 0.3634125840867152, -0.2795946062232057, -0.3244552327940861, 0.10800147205106138, -0.24704965887358413, -0.17134748813793219, 0.25601789068605285, -0.10849350406400239, 0.09353166217915714, 0.07871415507979691, -0.017169329789612674, -0.1013109578343574, -0.2804100713304554, 0.3085798240480168, 0.03218258894824733, 0.29486761791243526, -0.0014093306672293693, 0.1146450982632814, 0.008208995265886188, -0.08777142636245117, 0.031915354751981796, -0.12932898885568042, 0.1862440912052989, 0.29938823672321935, 0.2187610510853119, 0.3004222958348691, -0.3983600125871817, -0.15486033561464865, 0.10416793834689694, 0.14840768493207482, 0.14465253963135183, -0.07054872402962549, -0.24145453441306017, 0.1086549757203708, -0.129286758597785, -0.11088822306677078, -0.18301555782090873, -0.018671172092823932, 0.025842584265531817, -0.27141729987536867, -0.01011567153861203, 0.011132336283723513, 0.13037420210118095, -0.014960705570410937, -0.139370565029094, 0.015077103411507172, 0.0832830587712427, 0.009885906668690344, 0.023548745378502645, 0.11890876193065196, -0.07536743510669718, -0.1384073668004324, 0.36472131543171904, 0.045428460011801994, -0.1873907075088937, 0.18201085769105702, -0.06275194995105267, -0.17567206376891895, 0.19050399999444684, 0.192129918486656, 0.11530294138744163, -0.08981957045228531, 0.11319832950296889, -0.03325874325916326, 0.1726275350044792, -0.004915470529037218, 0.04084361571197708, 0.11437764670699835, 0.19512175446531424, 0.12366255048740034, 0.16029326198089014, -0.06678043476422317, -0.09950898422151416, -0.3026448045081149, -0.15275583682232535, -0.23511375369659315, -0.011381935560105678, -0.15228794942340756, -0.23170486287369083, 0.3996207943807046, 0.19326079940268148, 0.16950459065459048, 0.10650626114802435, 0.35824557684051495, 0.0364294290572919, 0.05187677185361584, 0.1455964338577663, 0.11127043880987912, 0.12783739836110422, 0.06807107299100608, -0.15788256601663306, 0.042467886523809284, 0.09142024228931404] |
1,802.07717 | Resummation of diagrammatic series with zero convergence radius for
strongly correlated fermions | We demonstrate that summing up series of Feynman diagrams can yield unbiased
accurate results for strongly-correlated fermions even when the convergence
radius vanishes. We consider the unitary Fermi gas, a model of non-relativistic
fermions in three-dimensional continuous space. Diagrams are built from
partially-dressed or fully-dressed propagators of single particles and pairs.
The series is resummed by a conformal-Borel transformation that incorporates
the large-order behavior and the analytic structure in the Borel plane, which
are found by the instanton approach. We report highly accurate numerical
results for the equation of state in the normal unpolarized regime, and
reconcile experimental data with the theoretically conjectured fourth virial
coefficient.
| cond-mat.quant-gas | we demonstrate that summing up series of feynman diagrams can yield unbiased accurate results for stronglycorrelated fermions even when the convergence radius vanishes we consider the unitary fermi gas a model of nonrelativistic fermions in threedimensional continuous space diagrams are built from partiallydressed or fullydressed propagators of single particles and pairs the series is resummed by a conformalborel transformation that incorporates the largeorder behavior and the analytic structure in the borel plane which are found by the instanton approach we report highly accurate numerical results for the equation of state in the normal unpolarized regime and reconcile experimental data with the theoretically conjectured fourth virial coefficient | [['we', 'demonstrate', 'that', 'summing', 'up', 'series', 'of', 'feynman', 'diagrams', 'can', 'yield', 'unbiased', 'accurate', 'results', 'for', 'stronglycorrelated', 'fermions', 'even', 'when', 'the', 'convergence', 'radius', 'vanishes', 'we', 'consider', 'the', 'unitary', 'fermi', 'gas', 'a', 'model', 'of', 'nonrelativistic', 'fermions', 'in', 'threedimensional', 'continuous', 'space', 'diagrams', 'are', 'built', 'from', 'partiallydressed', 'or', 'fullydressed', 'propagators', 'of', 'single', 'particles', 'and', 'pairs', 'the', 'series', 'is', 'resummed', 'by', 'a', 'conformalborel', 'transformation', 'that', 'incorporates', 'the', 'largeorder', 'behavior', 'and', 'the', 'analytic', 'structure', 'in', 'the', 'borel', 'plane', 'which', 'are', 'found', 'by', 'the', 'instanton', 'approach', 'we', 'report', 'highly', 'accurate', 'numerical', 'results', 'for', 'the', 'equation', 'of', 'state', 'in', 'the', 'normal', 'unpolarized', 'regime', 'and', 'reconcile', 'experimental', 'data', 'with', 'the', 'theoretically', 'conjectured', 'fourth', 'virial', 'coefficient']] | [-0.1246379593374933, 0.15973300560905884, -0.12389612934874514, 0.08579687793994359, -0.04162458041145538, -0.08900466769857583, 0.04548191977217077, 0.362792870352188, -0.20462628732918978, -0.23950496738633284, 0.018163783145540107, -0.32818207908600855, -0.12980891744686793, 0.19959257973823696, 0.04317119869833382, 0.08313423547392282, 0.07164329422028878, 0.00645131363461797, -0.1255703565704887, -0.26615249943838887, 0.33428997043609765, -0.013375644446708836, 0.27068928458118957, 0.047764640408926286, 0.0972626631051893, 0.007215462669801827, -0.0336370109132706, -0.002187650738331006, -0.12147280860923414, 0.07734138772670682, 0.22575281262218666, -0.00917359280328338, 0.16358778919675387, -0.39920776038287353, -0.18714584436160153, 0.034381871859435566, 0.17131795612826514, 0.09828444768544824, -0.0222222996974149, -0.29660794695910925, 0.020763179121646456, -0.19659149708100954, -0.1843206182999823, -0.17386087390164343, -0.008596923130636033, -0.010272535905152416, -0.2897534273601755, 0.13530105431664197, 0.011573143735474262, 0.009179185775932498, -0.03990536846238403, -0.10680089649618961, -0.017905294250410337, 0.10514969118258495, 0.021651166777771253, 0.023135960872213427, 0.09350883427536107, -0.1713205949546626, -0.107709580539869, 0.39202505838161766, -0.10023509260813276, -0.19275634525379595, 0.14028412118876496, -0.22117343435932596, -0.10421379743358837, 0.17118592413428885, 0.10629399873029727, 0.12168895676642513, -0.14285101939360453, 0.13747848294364162, -0.05681762160943785, 0.12325182986051704, 0.045119278598576784, -0.016811262596792612, 0.2171793376977663, 0.11710652049693565, 0.0028309320645908322, 0.1444472967638061, -0.03705547237321018, -0.13296735901027346, -0.3145747363764363, -0.13996456965077625, -0.17193104161616737, 0.03320521989819379, -0.10253339334205801, -0.18855490627622482, 0.3441028688147736, 0.13630682799983054, 0.20607330011765812, 0.07375931434552722, 0.28108874522149563, 0.14487633587291035, 0.02316396023469189, 0.0673358044721401, 0.24409041792163266, 0.1275103270712022, 0.045285355331053816, -0.23148902732422216, 0.00028461335191073327, 0.12925288169823873] |
1,802.07718 | High statistics lattice study of stress tensor correlators in pure
$SU(3)$ gauge theory | We compute the Euclidean correlators of the stress tensor in pure $SU(3)$
Yang-Mills theory at finite temperature at zero and finite spatial momenta with
lattice simulations. We perform continuum extrapolations using
$N_\tau=10,12,16,20$ lattices with renormalized anisotropy 2. We use these
correlators to estimate the shear viscosity of the gluon plasma in the
deconfined phase. For $T=1.5T_c$ we obtain $\eta/s=0.17(2)$.
| hep-lat | we compute the euclidean correlators of the stress tensor in pure su3 yangmills theory at finite temperature at zero and finite spatial momenta with lattice simulations we perform continuum extrapolations using n_tau10121620 lattices with renormalized anisotropy 2 we use these correlators to estimate the shear viscosity of the gluon plasma in the deconfined phase for t15t_c we obtain etas0172 | [['we', 'compute', 'the', 'euclidean', 'correlators', 'of', 'the', 'stress', 'tensor', 'in', 'pure', 'su3', 'yangmills', 'theory', 'at', 'finite', 'temperature', 'at', 'zero', 'and', 'finite', 'spatial', 'momenta', 'with', 'lattice', 'simulations', 'we', 'perform', 'continuum', 'extrapolations', 'using', 'n_tau10121620', 'lattices', 'with', 'renormalized', 'anisotropy', '2', 'we', 'use', 'these', 'correlators', 'to', 'estimate', 'the', 'shear', 'viscosity', 'of', 'the', 'gluon', 'plasma', 'in', 'the', 'deconfined', 'phase', 'for', 't15t_c', 'we', 'obtain', 'etas0172']] | [-0.08820694534889688, 0.2902662654274276, -0.15018701804469206, 0.05661997224836211, -0.012415095698088408, -0.050636997961971374, -0.004577645360508801, 0.4138031068723649, -0.18386764362055277, -0.1736370694623994, 0.06216194305618826, -0.3024740876031241, -0.034899825543107, 0.03453852979665888, 0.09689979521291596, 0.08234992354430558, -0.01404233078730093, 0.024956023886001537, -0.1730539017922378, -0.23853345438172774, 0.32789014897675123, -0.011759181149370437, 0.30390633968636394, 0.1474991155056549, 0.09275067574344575, 0.02382016066362017, -0.030680380894669464, 0.05702669090325279, -0.21246788384321139, 0.036290356889367104, 0.23933132436442456, -0.062145807620254345, 0.109460498842444, -0.43410384595128043, -0.21587883270279104, 0.08499795258311289, 0.12606747368616716, 0.17681652872956224, 0.0742627659513216, -0.1933187157181757, 0.07367079357417035, -0.18314855183208628, -0.21766842482611537, -0.16935408980186498, -0.04451468969429178, -0.0708962554511215, -0.2920062381308526, 0.16284531087980472, -0.0644897925584311, 0.12258639820252679, -0.07843368089691337, -0.15120659189830934, -0.06308724708755367, 0.09693171657896268, 0.06094160812374737, 0.09021955914795399, 0.14503271709794976, -0.18991579907014966, -0.09443103923695162, 0.3656645670499919, -0.12386292944263134, -0.21319718745404057, 0.17221330507059715, -0.22832458459639124, -0.14125515066552907, 0.12081932991610042, 0.17743150350205333, 0.1044706060201861, -0.0632245496879997, 0.11511680217621947, -0.007027510437183082, 0.11457403045746364, 0.07639420513130192, 0.0200789593675706, 0.22415292662169253, 0.08814577514671587, 0.017611199590776647, 0.19895067946552963, -0.07164908130653203, -0.09107516787480563, -0.4009478122794202, -0.07099324866430834, -0.20788192687905394, 0.0987578826607205, -0.2032948983165365, -0.2156208549193772, 0.31852996329377803, 0.1631472188663403, 0.14976858110977836, 0.10070866767117488, 0.2529126403055021, 0.1316689140928377, 0.05684609466698021, 0.12353430198189537, 0.23942111520695367, 0.24287580367776432, 0.14554752592396522, -0.3117502575291188, -0.16397255697354143, 0.18671064415996494] |
1,802.07719 | Unlimited Accumulation of Electromagnetic Energy Using Time-Varying
Reactive Elements | Accumulation of energy by reactive elements is limited by the amplitude of
time-harmonic external sources. In the steady-state regime, all incident power
is fully reflected back to the source, and the stored energy does not increase
in time, although the external source continuously supplies energy. Here, we
show that this claim is not true if the reactive element is time-varying, and
time-varying lossless loads of a transmission line or lossless metasurfaces can
accumulate electromagnetic energy supplied by a time-harmonic source
continuously in time without any theoretical limit. We analytically derive the
required time dependence of the load reactance and show that it can be in
principle realized as a series connection of mixers and filters. Furthermore,
we prove that properly designing time-varying LC circuits one can arbitrarily
engineer the time dependence of the current in the circuit fed by a given
time-harmonic source. As an example, we theoretically demonstrate a circuit
with a linearly increasing current through the inductor. Such LC circuits can
accumulate huge energy from both the time-harmonic external source and the pump
which works on varying the circuit elements in time. Finally, we discuss how
this stored energy can be released in form of a time-compressed pulse.
| physics.app-ph | accumulation of energy by reactive elements is limited by the amplitude of timeharmonic external sources in the steadystate regime all incident power is fully reflected back to the source and the stored energy does not increase in time although the external source continuously supplies energy here we show that this claim is not true if the reactive element is timevarying and timevarying lossless loads of a transmission line or lossless metasurfaces can accumulate electromagnetic energy supplied by a timeharmonic source continuously in time without any theoretical limit we analytically derive the required time dependence of the load reactance and show that it can be in principle realized as a series connection of mixers and filters furthermore we prove that properly designing timevarying lc circuits one can arbitrarily engineer the time dependence of the current in the circuit fed by a given timeharmonic source as an example we theoretically demonstrate a circuit with a linearly increasing current through the inductor such lc circuits can accumulate huge energy from both the timeharmonic external source and the pump which works on varying the circuit elements in time finally we discuss how this stored energy can be released in form of a timecompressed pulse | [['accumulation', 'of', 'energy', 'by', 'reactive', 'elements', 'is', 'limited', 'by', 'the', 'amplitude', 'of', 'timeharmonic', 'external', 'sources', 'in', 'the', 'steadystate', 'regime', 'all', 'incident', 'power', 'is', 'fully', 'reflected', 'back', 'to', 'the', 'source', 'and', 'the', 'stored', 'energy', 'does', 'not', 'increase', 'in', 'time', 'although', 'the', 'external', 'source', 'continuously', 'supplies', 'energy', 'here', 'we', 'show', 'that', 'this', 'claim', 'is', 'not', 'true', 'if', 'the', 'reactive', 'element', 'is', 'timevarying', 'and', 'timevarying', 'lossless', 'loads', 'of', 'a', 'transmission', 'line', 'or', 'lossless', 'metasurfaces', 'can', 'accumulate', 'electromagnetic', 'energy', 'supplied', 'by', 'a', 'timeharmonic', 'source', 'continuously', 'in', 'time', 'without', 'any', 'theoretical', 'limit', 'we', 'analytically', 'derive', 'the', 'required', 'time', 'dependence', 'of', 'the', 'load', 'reactance', 'and', 'show', 'that', 'it', 'can', 'be', 'in', 'principle', 'realized', 'as', 'a', 'series', 'connection', 'of', 'mixers', 'and', 'filters', 'furthermore', 'we', 'prove', 'that', 'properly', 'designing', 'timevarying', 'lc', 'circuits', 'one', 'can', 'arbitrarily', 'engineer', 'the', 'time', 'dependence', 'of', 'the', 'current', 'in', 'the', 'circuit', 'fed', 'by', 'a', 'given', 'timeharmonic', 'source', 'as', 'an', 'example', 'we', 'theoretically', 'demonstrate', 'a', 'circuit', 'with', 'a', 'linearly', 'increasing', 'current', 'through', 'the', 'inductor', 'such', 'lc', 'circuits', 'can', 'accumulate', 'huge', 'energy', 'from', 'both', 'the', 'timeharmonic', 'external', 'source', 'and', 'the', 'pump', 'which', 'works', 'on', 'varying', 'the', 'circuit', 'elements', 'in', 'time', 'finally', 'we', 'discuss', 'how', 'this', 'stored', 'energy', 'can', 'be', 'released', 'in', 'form', 'of', 'a', 'timecompressed', 'pulse']] | [-0.16935665284905901, 0.18153273993373284, -0.03470003203519306, -0.004734321929111927, -0.07497399209076586, -0.13326787918422314, 0.054231472127373566, 0.42495870869577484, -0.30805273103087805, -0.30378530793893505, 0.09411537383996586, -0.2526329898271925, -0.11052179902478416, 0.23663868133128438, -0.03460853811892817, 0.052835129178012134, 0.027636988213678926, 0.0216387885917521, -0.0007497195655189866, -0.17731285375196618, 0.2702380071204605, 0.0776214401738428, 0.314246417549743, 0.06292371908155968, 0.11085674369557943, -0.00870494993085313, 0.010665146795443104, 0.027176031679027345, -0.042192708555193345, 0.0757038359876591, 0.27326790729933065, 0.09024969440178206, 0.24298489752258337, -0.5177831792801468, -0.2550501461613493, 0.12474486065663434, 0.13839544244250984, 0.13101555575235238, -0.06761168431134978, -0.2119229501979098, 0.06171375064731543, -0.15329148935799922, -0.11783729706909601, -0.0255780247784215, 0.015065487181702301, 0.10416268065791745, -0.25464000583078766, 0.0105249354064151, 0.07006518990175808, 0.0050076615701817985, -0.06981940950786499, -0.02502661680769943, -0.021869120962599565, 0.09536766862127012, -0.006532137049892221, 0.005310538667137149, 0.1507822080824206, -0.10452560137374672, -0.06475354598170549, 0.3342869243907494, -0.09789934072640008, -0.21803866708697986, 0.10811111223755226, -0.10877669226593482, -0.017117753948421972, 0.1455578779680046, 0.18284313326517831, 0.07455094584940124, -0.16437307845019553, 0.08935298461288017, 0.005093286216408763, 0.23926025724164843, 0.09683697764473925, 0.015135064591237124, 0.20482492419287338, 0.12341208636278671, 0.061608502490389815, 0.19358605857185046, -0.07089249436022836, -0.014352231686607228, -0.3368841808794731, -0.11692636628078307, -0.21993258849883818, 0.07702396090517415, -0.05762250301438084, -0.15187427026878378, 0.39025585651081807, 0.14273702509785494, 0.16729194845765274, 0.02602090215106874, 0.3520932472989562, 0.2103920541738801, 0.052458260100728, 0.12201100068831414, 0.2428672083386749, 0.09184262454252334, 0.13813948870435283, -0.2381411676807563, 0.07409510184921811, -0.014413247909279886] |
1,802.0772 | Dark quarkonium formation in the early universe | The relic abundance of heavy stable particles charged under a confining gauge
group can be depleted by a second stage of annihilations near the deconfinement
temperature. This proceeds via the formation of quarkonia-like states, in which
the heavy pair subsequently annihilates. The size of the quarkonium formation
cross section was the subject of some debate. We estimate this cross section in
a simple toy model. The dominant process can be viewed as a rearrangement of
the heavy and light quarks, leading to a geometric cross section of hadronic
size. In contrast, processes in which only the heavy constituents are involved
lead to mass-suppressed cross sections. These results apply to any scenario
with bound states of sizes much larger than their inverse mass, such as U(1)
models with charged particles of different masses, and can be used to construct
ultra-heavy dark-matter models with masses above the na\"ive unitarity bound.
They are also relevant for the cosmology of any stable colored relic.
| hep-ph | the relic abundance of heavy stable particles charged under a confining gauge group can be depleted by a second stage of annihilations near the deconfinement temperature this proceeds via the formation of quarkonialike states in which the heavy pair subsequently annihilates the size of the quarkonium formation cross section was the subject of some debate we estimate this cross section in a simple toy model the dominant process can be viewed as a rearrangement of the heavy and light quarks leading to a geometric cross section of hadronic size in contrast processes in which only the heavy constituents are involved lead to masssuppressed cross sections these results apply to any scenario with bound states of sizes much larger than their inverse mass such as u1 models with charged particles of different masses and can be used to construct ultraheavy darkmatter models with masses above the naive unitarity bound they are also relevant for the cosmology of any stable colored relic | [['the', 'relic', 'abundance', 'of', 'heavy', 'stable', 'particles', 'charged', 'under', 'a', 'confining', 'gauge', 'group', 'can', 'be', 'depleted', 'by', 'a', 'second', 'stage', 'of', 'annihilations', 'near', 'the', 'deconfinement', 'temperature', 'this', 'proceeds', 'via', 'the', 'formation', 'of', 'quarkonialike', 'states', 'in', 'which', 'the', 'heavy', 'pair', 'subsequently', 'annihilates', 'the', 'size', 'of', 'the', 'quarkonium', 'formation', 'cross', 'section', 'was', 'the', 'subject', 'of', 'some', 'debate', 'we', 'estimate', 'this', 'cross', 'section', 'in', 'a', 'simple', 'toy', 'model', 'the', 'dominant', 'process', 'can', 'be', 'viewed', 'as', 'a', 'rearrangement', 'of', 'the', 'heavy', 'and', 'light', 'quarks', 'leading', 'to', 'a', 'geometric', 'cross', 'section', 'of', 'hadronic', 'size', 'in', 'contrast', 'processes', 'in', 'which', 'only', 'the', 'heavy', 'constituents', 'are', 'involved', 'lead', 'to', 'masssuppressed', 'cross', 'sections', 'these', 'results', 'apply', 'to', 'any', 'scenario', 'with', 'bound', 'states', 'of', 'sizes', 'much', 'larger', 'than', 'their', 'inverse', 'mass', 'such', 'as', 'u1', 'models', 'with', 'charged', 'particles', 'of', 'different', 'masses', 'and', 'can', 'be', 'used', 'to', 'construct', 'ultraheavy', 'darkmatter', 'models', 'with', 'masses', 'above', 'the', 'naive', 'unitarity', 'bound', 'they', 'are', 'also', 'relevant', 'for', 'the', 'cosmology', 'of', 'any', 'stable', 'colored', 'relic']] | [-0.059198540470970326, 0.27603052811173256, -0.10631926850765012, 0.13165101221571832, -0.021274261047801703, -0.11658234428905416, 0.01165579259104561, 0.32297309054010837, -0.21737021117005498, -0.2975762248999672, 0.02396201232331805, -0.27272273767739535, 0.00101740724312549, 0.12594783430649842, 0.016999706588103437, 0.038157631182548356, 0.04571526639629155, 0.07257205669011454, -0.045882487032940844, -0.2628634979308117, 0.3094555910472991, 0.05343740889329638, 0.18761848465364891, 0.12908234403766983, 0.013362784564378671, -0.008476101700216532, 0.00632306830084417, -0.02989573480153922, -0.10937423404539004, 0.08431348112862906, 0.19872245746432782, 0.06165928431000793, 0.1300071651377948, -0.4179313343833201, -0.16991595245781355, 0.1697357208613539, 0.16723143210401759, 0.12839727251703154, -0.09091115063638426, -0.2950652963045286, 0.08866573368140962, -0.20195915848889853, -0.1626570222673763, -0.022909058540972183, -0.017179543892780202, -0.04087712849141099, -0.28500143831479363, 0.1065232900013143, 0.0030108234685030768, -0.05919369395414833, -0.03751363568590023, -0.15788955427415202, -0.08673530284722801, 0.03933220187027473, 0.0951014394629965, -0.006065552267682506, 0.21388643406971825, -0.173615483919275, -0.12108885480556637, 0.41534203158080346, -0.08277623890508039, -0.1670642959041288, 0.1953227992518805, -0.13278078568259843, -0.13337766577024013, 0.16957800995151046, 0.22580131122958846, 0.1432664955045766, -0.15723266571003477, 0.08685435852312366, -0.049745900335619805, 0.1530250880154199, 0.0968207991856616, 0.03743141390150413, 0.27923347807081883, 0.18495588491787202, 0.01942971154348925, 0.08164111594014685, -0.0687864474253729, -0.10016868829115992, -0.3622907690063585, -0.1594014781883743, -0.07911206620628945, 0.05197151704633143, -0.08367792688932241, -0.14062146595824743, 0.3399397738343396, 0.10931890797655797, 0.2923752297530882, 0.0038604778586886824, 0.29886608239030465, 0.11973869773937622, 0.10042223686323268, 0.051454781196662226, 0.2788616289888523, 0.17476709423499415, 0.053944153542397545, -0.19109904624074261, 0.05759403436386492, 0.07172650123829953] |
1,802.07721 | Discussion on "Sparse graphs using exchangeable random measures" by
Francois Caron and Emily B. Fox | This is a discussion on "Sparse graphs using exchangeable random measures" by
Francois Caron and Emily B. Fox, published in Journal of the Royal Statistical
Society, Series B, 2017.
| stat.ME | this is a discussion on sparse graphs using exchangeable random measures by francois caron and emily b fox published in journal of the royal statistical society series b 2017 | [['this', 'is', 'a', 'discussion', 'on', 'sparse', 'graphs', 'using', 'exchangeable', 'random', 'measures', 'by', 'francois', 'caron', 'and', 'emily', 'b', 'fox', 'published', 'in', 'journal', 'of', 'the', 'royal', 'statistical', 'society', 'series', 'b', '2017']] | [-0.08011123629543802, 0.08233453095730009, -0.07170723629151952, 0.015460408172281137, -0.09150293517600873, -0.09984223909098013, 0.1319446752594527, 0.27860557904531214, -0.1615812442715055, -0.31128134694078874, 0.06936767265794734, -0.30961455391912623, -0.19307215537490516, 0.13034118374745393, -0.22615511859927712, 0.06510655691140685, 0.14008132798661446, -0.02889029771603387, 0.09411929782223084, -0.3715344957750419, 0.19063750254632583, 0.08662119880318642, 0.2528096389924658, -0.005885447728736648, -0.014428585992547972, 0.09532971890514781, -0.2411372899880697, 0.020245167314363963, -0.17375916009768844, 0.14052239571023603, 0.24266167957303597, 0.19678250101298608, 0.3788836571420061, -0.29733322612170515, -0.1472945800051093, 0.028979239246711648, -0.0163007826576459, -0.014900944035114914, 0.06890118613855206, -0.4295830474845294, -0.0045110375524081035, -0.20415842777182316, 0.0156283644028008, -0.023272308874233014, 0.16884306362219925, 0.07075173720910118, -0.24575654372315983, 0.13296511310056366, 0.08019168167535601, 0.20779010191045957, 0.09631738747502196, -0.2746483566046789, 0.05273904299748869, 0.0508583783621675, -0.0376999645799013, 0.0739649416686132, 0.07494998392488422, -0.0529071307371788, -0.21637005810144133, 0.3459896182577158, -0.07290941907157159, -0.10237006676094286, 0.15775157748882113, -0.15842515723137507, -0.2769112574129269, 0.021099027149893087, 0.23319751974837533, 0.014618252500377852, -0.19687533169856358, 0.19003457773340351, -0.16028027477320925, 0.04847842220473906, 0.17088539757091423, -0.13767816646602646, 0.10490487355353503, 0.07150414846195229, -0.03740285741614884, 0.06718720303013406, 0.01770440711447134, -0.06399112467750392, -0.22603935607034584, -0.12492109514002142, -0.26010387274838087, 0.07627511865876872, -0.051937866441660624, -0.19498184827509626, 0.3981700560142254, 0.055924332700669765, 0.11867003091450395, 0.015752359389744956, 0.13224323485688916, 0.015496727721444491, -0.07693696264097274, 0.1429157729405139, 0.08805901512246707, 0.22210458246188175, 0.2019970952854331, -0.046713382134149814, 0.1134607257995883, 0.16457883837022658] |
1,802.07722 | Generalized entropy formalism and a new holographic dark energy model | Recently, the R\'{e}nyi and Tsallis generalized entropies have extensively
been used in order to study various cosmological and gravitational setups.
Here, using a special type of generalized entropy, a generalization of both the
R\'{e}nyi and Tsallis entropy, together with holographic principle, we build a
new model for holographic dark energy. Thereinafter, considering a flat FRW
universe, filled by a pressureless component and the new obtained dark energy
model, the evolution of cosmos has been investigated showing satisfactory
results and behavior. In our model, the Hubble horizon plays the role of IR
cutoff, and there is no mutual interaction between the cosmos components. Our
results indicate that the generalized entropy formalism may open a new window
to become more familiar with the nature of spacetime and its properties.
| gr-qc hep-th | recently the renyi and tsallis generalized entropies have extensively been used in order to study various cosmological and gravitational setups here using a special type of generalized entropy a generalization of both the renyi and tsallis entropy together with holographic principle we build a new model for holographic dark energy thereinafter considering a flat frw universe filled by a pressureless component and the new obtained dark energy model the evolution of cosmos has been investigated showing satisfactory results and behavior in our model the hubble horizon plays the role of ir cutoff and there is no mutual interaction between the cosmos components our results indicate that the generalized entropy formalism may open a new window to become more familiar with the nature of spacetime and its properties | [['recently', 'the', 'renyi', 'and', 'tsallis', 'generalized', 'entropies', 'have', 'extensively', 'been', 'used', 'in', 'order', 'to', 'study', 'various', 'cosmological', 'and', 'gravitational', 'setups', 'here', 'using', 'a', 'special', 'type', 'of', 'generalized', 'entropy', 'a', 'generalization', 'of', 'both', 'the', 'renyi', 'and', 'tsallis', 'entropy', 'together', 'with', 'holographic', 'principle', 'we', 'build', 'a', 'new', 'model', 'for', 'holographic', 'dark', 'energy', 'thereinafter', 'considering', 'a', 'flat', 'frw', 'universe', 'filled', 'by', 'a', 'pressureless', 'component', 'and', 'the', 'new', 'obtained', 'dark', 'energy', 'model', 'the', 'evolution', 'of', 'cosmos', 'has', 'been', 'investigated', 'showing', 'satisfactory', 'results', 'and', 'behavior', 'in', 'our', 'model', 'the', 'hubble', 'horizon', 'plays', 'the', 'role', 'of', 'ir', 'cutoff', 'and', 'there', 'is', 'no', 'mutual', 'interaction', 'between', 'the', 'cosmos', 'components', 'our', 'results', 'indicate', 'that', 'the', 'generalized', 'entropy', 'formalism', 'may', 'open', 'a', 'new', 'window', 'to', 'become', 'more', 'familiar', 'with', 'the', 'nature', 'of', 'spacetime', 'and', 'its', 'properties']] | [-0.0816383932297316, 0.10900046143086818, -0.18009749841399667, 0.1218153834645453, -0.08165992849220441, -0.13915245899358603, -0.04009453248687264, 0.31369960918201234, -0.1892158568169423, -0.29847985551065553, 0.04061321919695951, -0.29642386637136753, -0.09014813584370876, 0.1812565554333044, -0.03170183561668973, 0.06654785552903585, -0.0147166143164156, 0.03707997283832295, -0.05823054797324081, -0.25287363281488184, 0.3444261843921602, 0.10439785741045925, 0.28995241278115164, 0.08267553109037654, 0.11493561006935797, -0.015628036604754217, -0.040149163271439824, 0.09619434104909695, -0.2220924534914785, 0.09887608610218258, 0.19121814527829345, 0.11333514644771697, 0.24645242549288343, -0.3874360500856882, -0.3200160727550195, 0.14133865921574784, 0.11432644104361388, 0.09677871273038542, -0.0738156084563651, -0.2817594934049554, 0.017722866490600616, -0.24338523601365136, -0.13890163703476938, -0.07314227665517861, 0.0036188988821713006, -0.04137598785414089, -0.21185949154374167, 0.13410122296956228, 0.027903866957814442, 0.006467800785986318, -0.09466196790311897, -0.07211430818135814, -0.023480853924755095, 0.06181468559414383, 0.0742492554214321, 0.01461803540404094, 0.07987322631900705, -0.13971575485601082, -0.10128454369397497, 0.34593154293462985, -0.09487332627782231, -0.16804230527028324, 0.16787524815414132, -0.11193995941137, -0.14224325487111497, 0.048033468659021195, 0.11396618702221574, 0.097041520209411, -0.17391678409313593, 0.1276950628178627, -0.008359913505232476, 0.1625851350937288, 0.06278934569545383, 0.09419197725465771, 0.2748272953349657, 0.11979106616038154, -0.02947142936604869, 0.18296771049939506, -0.06394197482718375, -0.16436297539621592, -0.3359638266558722, -0.18996545468898987, -0.19205316629143446, 0.024525849709624615, -0.146987476568659, -0.13866422243973636, 0.3641678181176228, 0.10124836744583399, 0.16128580199965226, 0.03743820378234185, 0.24836265524541298, 0.08413611853946235, 0.029342987156641766, 0.09536731009569577, 0.2888243678502562, 0.14824332207565996, 0.13402487987681755, -0.20869904785604018, -0.014995691725822885, 0.07689365582525964] |
1,802.07723 | Possible Photometric Signatures of Moderately Advanced Civilizations:
The Clarke Exobelt | This paper puts forward a possible new indicator for the presence of
moderately advanced civilizations on transiting exoplanets. The idea is to
examine the region of space around a planet where potential geostationary or
geosynchronous satellites would orbit (herafter, the Clarke exobelt).
Civilizations with a high density of devices and/or space junk in that region,
but otherwise similar to ours in terms of space technology (our working
definition of "moderately advanced"), may leave a noticeable imprint on the
light curve of the parent star. The main contribution to such signature comes
from the exobelt edge, where its opacity is maximum due to geometrical
projection. Numerical simulations have been conducted for a variety of possible
scenarios. In some cases, a Clarke exobelt with a fractional face-on opacity of
~1E-4 would be easily observable with existing instrumentation. Simulations of
Clarke exobelts and natural rings are used to quantify how they can be
distinguished by their light curve.
| astro-ph.EP astro-ph.SR | this paper puts forward a possible new indicator for the presence of moderately advanced civilizations on transiting exoplanets the idea is to examine the region of space around a planet where potential geostationary or geosynchronous satellites would orbit herafter the clarke exobelt civilizations with a high density of devices andor space junk in that region but otherwise similar to ours in terms of space technology our working definition of moderately advanced may leave a noticeable imprint on the light curve of the parent star the main contribution to such signature comes from the exobelt edge where its opacity is maximum due to geometrical projection numerical simulations have been conducted for a variety of possible scenarios in some cases a clarke exobelt with a fractional faceon opacity of 1e4 would be easily observable with existing instrumentation simulations of clarke exobelts and natural rings are used to quantify how they can be distinguished by their light curve | [['this', 'paper', 'puts', 'forward', 'a', 'possible', 'new', 'indicator', 'for', 'the', 'presence', 'of', 'moderately', 'advanced', 'civilizations', 'on', 'transiting', 'exoplanets', 'the', 'idea', 'is', 'to', 'examine', 'the', 'region', 'of', 'space', 'around', 'a', 'planet', 'where', 'potential', 'geostationary', 'or', 'geosynchronous', 'satellites', 'would', 'orbit', 'herafter', 'the', 'clarke', 'exobelt', 'civilizations', 'with', 'a', 'high', 'density', 'of', 'devices', 'andor', 'space', 'junk', 'in', 'that', 'region', 'but', 'otherwise', 'similar', 'to', 'ours', 'in', 'terms', 'of', 'space', 'technology', 'our', 'working', 'definition', 'of', 'moderately', 'advanced', 'may', 'leave', 'a', 'noticeable', 'imprint', 'on', 'the', 'light', 'curve', 'of', 'the', 'parent', 'star', 'the', 'main', 'contribution', 'to', 'such', 'signature', 'comes', 'from', 'the', 'exobelt', 'edge', 'where', 'its', 'opacity', 'is', 'maximum', 'due', 'to', 'geometrical', 'projection', 'numerical', 'simulations', 'have', 'been', 'conducted', 'for', 'a', 'variety', 'of', 'possible', 'scenarios', 'in', 'some', 'cases', 'a', 'clarke', 'exobelt', 'with', 'a', 'fractional', 'faceon', 'opacity', 'of', '1e4', 'would', 'be', 'easily', 'observable', 'with', 'existing', 'instrumentation', 'simulations', 'of', 'clarke', 'exobelts', 'and', 'natural', 'rings', 'are', 'used', 'to', 'quantify', 'how', 'they', 'can', 'be', 'distinguished', 'by', 'their', 'light', 'curve']] | [-0.13149363922375237, 0.10907230939369138, -0.13109637104169605, 0.07371365770871076, -0.12549507874216326, -0.098646187059143, 0.06682057021980119, 0.3395679241192399, -0.23575078367006058, -0.32124072591488073, 0.1339793465369582, -0.27451479855431793, -0.1195971078735478, 0.23035402802805252, -0.12713744739577285, 0.007736654075249129, 0.07267361345531242, -0.014944784081498392, -0.053454293199857464, -0.23095528473712357, 0.313016901924914, 0.0958298744521183, 0.13829168298866087, 0.014053002465516329, 0.046514879201471904, -0.04215964329812456, -0.03846302478470736, -0.005465511591478538, -0.1170845821675684, 0.08244789822492748, 0.259282257517471, 0.14827940622314179, 0.23777260555843122, -0.4225649550599746, -0.22737366561260489, 0.12142750400794196, 0.14016622863633837, 0.04444684424236709, -0.05369330294205034, -0.2674375311928053, 0.06754794350393067, -0.20053231337844254, -0.1863747370790567, -0.014155830148309987, 0.06312962691756148, 0.00798339353496927, -0.23155406488598707, 0.013663970898788154, 0.03000296261550568, 0.04798760606292513, -0.05084615358612972, -0.10355530589898086, -0.03681005133175918, 0.06365433191344921, 0.03570923837072222, 0.056789381463031946, 0.15844937489410632, -0.11152837039093225, -0.06355293519076666, 0.4286898264564038, -0.07219235080117786, -0.10208578897165317, 0.24820236523112196, -0.19634422261170506, -0.10495475610243339, 0.13836685266175303, 0.18472864973097067, 0.11772092142951937, -0.11175507394915744, 0.0444682225188563, -0.017598572566807028, 0.13197246360367323, 0.07133913506126774, 0.07911065703842278, 0.3037330695835788, 0.11424145635120035, 0.08555893870633631, 0.0877365844911634, -0.15060088515366896, -0.06900247546244608, -0.24116819530262862, -0.1504393901243757, -0.15233110412468318, 0.0422601428421616, -0.07144660828016879, -0.13955674269175752, 0.3470314358531503, 0.14295753622747154, 0.17261148675107488, -0.004977287725184807, 0.3107355191962781, 0.09131250157077292, 0.08443652478874558, 0.06344222011854203, 0.27638597050289854, 0.07750225752695566, 0.07664005339352621, -0.17797509292171038, 0.12297422685386504, -0.007756812049051613] |
1,802.07724 | Feasibility Study for BioLEIR | The biomedical community asked CERN to investigate the possibility to
transform the Low Energy Ion Ring (LEIR) accelerator into a multidisciplinary,
biomedical research facility (BioLEIR) that could provide ample, high-quality
beams of a range of light ions suitable for clinically oriented fundamental
research on cell cultures and for radiation instrumentation development.
BioLEIR would be operated when LEIR is not providing heavy ions for the CERN
physics programme. The study group was mandated to write a Feasibility Study
Report, using high-level engineering estimates based on previous experience,
with the aim to: - collect the requirements for such a facility from the
biomedical community in close collaboration with the International Strategy
Committee for CERN Medical Applications; - determine a coherent set of beam
parameters, based on the requirements; - explore whether the beam requirements
can be met throughout the facility, from the source to the biomedical
end-stations; - perform a feasibility study of the facility, taking into
consideration the overall CERN schedules and programmes; - favour simplicity
and robustness of the facility design, while minimizing the cost of maintenance
and operation; - establish a high-level costing of material and personnel
needed for project implementation; - describe the preferred installation
scenario; - perform a high-level risk analysis for the project; - identify the
areas of potential difficulty, and the required R&D should the study go ahead
and become a project.
| physics.ins-det physics.acc-ph | the biomedical community asked cern to investigate the possibility to transform the low energy ion ring leir accelerator into a multidisciplinary biomedical research facility bioleir that could provide ample highquality beams of a range of light ions suitable for clinically oriented fundamental research on cell cultures and for radiation instrumentation development bioleir would be operated when leir is not providing heavy ions for the cern physics programme the study group was mandated to write a feasibility study report using highlevel engineering estimates based on previous experience with the aim to collect the requirements for such a facility from the biomedical community in close collaboration with the international strategy committee for cern medical applications determine a coherent set of beam parameters based on the requirements explore whether the beam requirements can be met throughout the facility from the source to the biomedical endstations perform a feasibility study of the facility taking into consideration the overall cern schedules and programmes favour simplicity and robustness of the facility design while minimizing the cost of maintenance and operation establish a highlevel costing of material and personnel needed for project implementation describe the preferred installation scenario perform a highlevel risk analysis for the project identify the areas of potential difficulty and the required rd should the study go ahead and become a project | [['the', 'biomedical', 'community', 'asked', 'cern', 'to', 'investigate', 'the', 'possibility', 'to', 'transform', 'the', 'low', 'energy', 'ion', 'ring', 'leir', 'accelerator', 'into', 'a', 'multidisciplinary', 'biomedical', 'research', 'facility', 'bioleir', 'that', 'could', 'provide', 'ample', 'highquality', 'beams', 'of', 'a', 'range', 'of', 'light', 'ions', 'suitable', 'for', 'clinically', 'oriented', 'fundamental', 'research', 'on', 'cell', 'cultures', 'and', 'for', 'radiation', 'instrumentation', 'development', 'bioleir', 'would', 'be', 'operated', 'when', 'leir', 'is', 'not', 'providing', 'heavy', 'ions', 'for', 'the', 'cern', 'physics', 'programme', 'the', 'study', 'group', 'was', 'mandated', 'to', 'write', 'a', 'feasibility', 'study', 'report', 'using', 'highlevel', 'engineering', 'estimates', 'based', 'on', 'previous', 'experience', 'with', 'the', 'aim', 'to', 'collect', 'the', 'requirements', 'for', 'such', 'a', 'facility', 'from', 'the', 'biomedical', 'community', 'in', 'close', 'collaboration', 'with', 'the', 'international', 'strategy', 'committee', 'for', 'cern', 'medical', 'applications', 'determine', 'a', 'coherent', 'set', 'of', 'beam', 'parameters', 'based', 'on', 'the', 'requirements', 'explore', 'whether', 'the', 'beam', 'requirements', 'can', 'be', 'met', 'throughout', 'the', 'facility', 'from', 'the', 'source', 'to', 'the', 'biomedical', 'endstations', 'perform', 'a', 'feasibility', 'study', 'of', 'the', 'facility', 'taking', 'into', 'consideration', 'the', 'overall', 'cern', 'schedules', 'and', 'programmes', 'favour', 'simplicity', 'and', 'robustness', 'of', 'the', 'facility', 'design', 'while', 'minimizing', 'the', 'cost', 'of', 'maintenance', 'and', 'operation', 'establish', 'a', 'highlevel', 'costing', 'of', 'material', 'and', 'personnel', 'needed', 'for', 'project', 'implementation', 'describe', 'the', 'preferred', 'installation', 'scenario', 'perform', 'a', 'highlevel', 'risk', 'analysis', 'for', 'the', 'project', 'identify', 'the', 'areas', 'of', 'potential', 'difficulty', 'and', 'the', 'required', 'rd', 'should', 'the', 'study', 'go', 'ahead', 'and', 'become', 'a', 'project']] | [-0.06828067582492307, 0.08485912206739396, -0.06747800833110427, 0.046264315164913465, -0.11534110537325423, -0.14848874936045678, 0.06671772707715004, 0.37102592768850434, -0.22316094095792585, -0.3449968214312168, 0.1355061146145617, -0.2552081775473742, -0.028843462391850042, 0.23931320048607538, -0.048547630946839525, 0.0813067249744852, 0.1309851623596145, -0.0035090989216446235, -0.005019375581400922, -0.21641608831368248, 0.25460825970550893, 0.17445727100891767, 0.364693012819669, 0.09788641988062605, 0.07975323485737126, 0.007107189430248114, -0.04838102232560376, -0.05038598297755713, -0.08635763002132642, 0.15485183348896625, 0.3486155465573821, 0.2332799696150262, 0.3425709889836122, -0.4670144719306693, -0.1746823417444966, 0.0747590600137564, 0.06669013682662, 0.038394739457501846, -0.10186726642091472, -0.2696269950481288, 0.051169136164831784, -0.15709838985082494, -0.16110073306562953, -0.04461182891412978, -0.014249509611715363, 0.030258858774159816, -0.27086362874387787, -0.09412908309931371, -0.040803298767586454, 0.11617692710807825, -0.060576392572686495, -0.1355916944301957, 0.044717285429588825, 0.1525715912816552, 0.014703667950033097, 0.06259272950505576, 0.1730012663952336, -0.14258253509418117, -0.10782009124468629, 0.4383817367619078, 0.022943844439387844, -0.10189719563001924, 0.1708703322445421, -0.1525448957049053, -0.14723410680628965, 0.09093498868136624, 0.2600781734658527, 0.06872685201396452, -0.20184213019765762, 0.06554682512490718, 0.04012689497060726, 0.16746638082797766, 0.055513904834433817, 0.015349440888619207, 0.24447571690124678, 0.2530002959375052, 0.07472392829218291, 0.13969592279250023, -0.07945625143882896, -0.02341536085217077, -0.31898836478227577, -0.17184388855005459, -0.10113065690998962, -0.009294464215285375, 0.04819585679246659, -0.09016827756982888, 0.4090397332470742, 0.1515922283886488, 0.10513542693491294, -0.019734599712417922, 0.29860276198797975, -0.012887973700055448, 0.09123708456798205, 0.022083984836979518, 0.21290386747568846, 0.04929172473787722, 0.17267504276459705, -0.2387908837348919, 0.06952135966847016, 0.011573258517571142] |
1,802.07725 | Increased Heat Transport in Ultra-Hot Jupiter Atmospheres Through H$_2$
Dissociation/Recombination | A new class of exoplanets is beginning to emerge: planets whose dayside
atmospheres more closely resemble stellar atmospheres as most of their
molecular constituents dissociate. The effects of the dissociation of these
species will be varied and must be carefully accounted for. Here we take the
first steps towards understanding the consequences of dissociation and
recombination of molecular hydrogen (H$_2$) on atmospheric heat recirculation.
Using a simple energy balance model with eastward winds, we demonstrate that
H$_2$ dissociation/recombination can significantly increase the day$-$night
heat transport on ultra-hot Jupiters (UHJs): gas giant exoplanets where
significant H$_2$ dissociation occurs. The atomic hydrogen from the highly
irradiated daysides of UHJs will transport some of the energy deposited on the
dayside towards the nightside of the planet where the H atoms recombine into
H$_2$; this mechanism bears similarities to latent heat. Given a fixed wind
speed, this will act to increase the heat recirculation efficiency;
alternatively, a measured heat recirculation efficiency will require slower
wind speeds after accounting for H$_2$ dissociation/recombination.
| astro-ph.EP | a new class of exoplanets is beginning to emerge planets whose dayside atmospheres more closely resemble stellar atmospheres as most of their molecular constituents dissociate the effects of the dissociation of these species will be varied and must be carefully accounted for here we take the first steps towards understanding the consequences of dissociation and recombination of molecular hydrogen h_2 on atmospheric heat recirculation using a simple energy balance model with eastward winds we demonstrate that h_2 dissociationrecombination can significantly increase the daynight heat transport on ultrahot jupiters uhjs gas giant exoplanets where significant h_2 dissociation occurs the atomic hydrogen from the highly irradiated daysides of uhjs will transport some of the energy deposited on the dayside towards the nightside of the planet where the h atoms recombine into h_2 this mechanism bears similarities to latent heat given a fixed wind speed this will act to increase the heat recirculation efficiency alternatively a measured heat recirculation efficiency will require slower wind speeds after accounting for h_2 dissociationrecombination | [['a', 'new', 'class', 'of', 'exoplanets', 'is', 'beginning', 'to', 'emerge', 'planets', 'whose', 'dayside', 'atmospheres', 'more', 'closely', 'resemble', 'stellar', 'atmospheres', 'as', 'most', 'of', 'their', 'molecular', 'constituents', 'dissociate', 'the', 'effects', 'of', 'the', 'dissociation', 'of', 'these', 'species', 'will', 'be', 'varied', 'and', 'must', 'be', 'carefully', 'accounted', 'for', 'here', 'we', 'take', 'the', 'first', 'steps', 'towards', 'understanding', 'the', 'consequences', 'of', 'dissociation', 'and', 'recombination', 'of', 'molecular', 'hydrogen', 'h_2', 'on', 'atmospheric', 'heat', 'recirculation', 'using', 'a', 'simple', 'energy', 'balance', 'model', 'with', 'eastward', 'winds', 'we', 'demonstrate', 'that', 'h_2', 'dissociationrecombination', 'can', 'significantly', 'increase', 'the', 'daynight', 'heat', 'transport', 'on', 'ultrahot', 'jupiters', 'uhjs', 'gas', 'giant', 'exoplanets', 'where', 'significant', 'h_2', 'dissociation', 'occurs', 'the', 'atomic', 'hydrogen', 'from', 'the', 'highly', 'irradiated', 'daysides', 'of', 'uhjs', 'will', 'transport', 'some', 'of', 'the', 'energy', 'deposited', 'on', 'the', 'dayside', 'towards', 'the', 'nightside', 'of', 'the', 'planet', 'where', 'the', 'h', 'atoms', 'recombine', 'into', 'h_2', 'this', 'mechanism', 'bears', 'similarities', 'to', 'latent', 'heat', 'given', 'a', 'fixed', 'wind', 'speed', 'this', 'will', 'act', 'to', 'increase', 'the', 'heat', 'recirculation', 'efficiency', 'alternatively', 'a', 'measured', 'heat', 'recirculation', 'efficiency', 'will', 'require', 'slower', 'wind', 'speeds', 'after', 'accounting', 'for', 'h_2', 'dissociationrecombination']] | [-0.06586129424888923, 0.24217033855278383, -0.02081293463733428, 0.05887863033973245, -0.07090071414484445, -0.08706527558352911, 0.09747170752662263, 0.3928522687969786, -0.24396911731737694, -0.28893880103573655, 0.030572714468915806, -0.27992511351141286, -0.020744479082835218, 0.20510558232975504, -0.03402815515549843, -0.017418560732127816, 0.12314648970919238, -0.06998122003155224, -0.001555435460702001, -0.20928992981824912, 0.24622409156043873, 0.11608898573921937, 0.13186524961087287, 0.14128542805203434, 0.042279569161209195, -0.1440330269337265, -0.0010243699342633286, -0.05524707670238885, -0.17821068102092602, 0.08427436521671938, 0.2015023954085667, 0.0641105083240704, 0.20991853692879278, -0.49659488024472287, -0.2996217376129194, 0.09463593912395564, 0.1670134555096879, 0.06953694172993755, -0.06054235464835074, -0.18888913098384033, -0.02862591829122693, -0.16296762371943754, -0.1286096568699136, -0.017963922314458723, 0.021752857288458584, 0.04042258492360513, -0.2558704176134515, 0.08179666859972658, 0.06698812289361024, 0.10038207847286354, -0.09186000516779269, -0.15463970716704023, -0.16031700169780488, 0.09325611426241019, 0.009463308144106784, 0.010128331984477964, 0.28599677610803736, -0.14675095201836844, 0.017488460592699772, 0.44350005022504113, -0.1293012085349553, -0.0813284944234924, 0.24851351071318442, -0.21097667645663024, -0.11730152127742204, 0.239650626311248, 0.1649672389482007, 0.10972607893812837, -0.1421416755892675, -0.04094363859939304, -0.020200243806748678, 0.1365267502736639, 0.10670663265821835, 0.0414485408642301, 0.3252127790823579, 0.15536270293647028, 0.07326168343001468, 0.13073307515446547, -0.19570613794847194, -0.09194162671990466, -0.1852617766355362, -0.19486829522771365, -0.11647451897575097, 0.08096694882648686, -0.061296343724208065, -0.11986187368659584, 0.33222416709882746, 0.15160442347476033, 0.1861091331889232, -0.0376232472079044, 0.324032649680069, 0.1325681895687894, 0.05802425353674952, 0.12958540310589314, 0.23654565883211257, 0.141865271154904, 0.14452053478100535, -0.31948790799431276, 0.11633906600940408, 0.02089585939944355] |
1,802.07726 | Exact Bremsstrahlung functions in ABJM theory | In this paper we study the Bremsstrahlung functions for the 1/6 BPS and the
1/2 BPS Wilson lines in ABJM theory. First we use a superconformal defect
approach to prove a conjectured relation between the Bremsstrahlung functions
associated to the geometric ($B^{\varphi}_{1/6}$) and R-symmetry
($B^{\theta}_{1/6}$) deformations of the 1/6 BPS Wilson line. This result,
non-trivially following from a defect supersymmetric Ward identity, provides an
exact expression for $B^{\theta}_{1/6}$ based on a known result for
$B^{\varphi}_{1/6}$. Subsequently, we explore the consequences of this relation
for the 1/2 BPS Wilson line and, using the localization result for the multiply
wound Wilson loop, we provide an exact closed form for the corresponding
Bremsstrahlung function. Interestingly, for the comparison with integrability,
this expression appears particularly natural in terms of the conjectured
interpolating function $h(\lambda)$. During the derivation of these results we
analyze the protected defect supermultiplets associated to the broken
symmetries, including their two- and three-point correlators.
| hep-th | in this paper we study the bremsstrahlung functions for the 16 bps and the 12 bps wilson lines in abjm theory first we use a superconformal defect approach to prove a conjectured relation between the bremsstrahlung functions associated to the geometric bvarphi_16 and rsymmetry btheta_16 deformations of the 16 bps wilson line this result nontrivially following from a defect supersymmetric ward identity provides an exact expression for btheta_16 based on a known result for bvarphi_16 subsequently we explore the consequences of this relation for the 12 bps wilson line and using the localization result for the multiply wound wilson loop we provide an exact closed form for the corresponding bremsstrahlung function interestingly for the comparison with integrability this expression appears particularly natural in terms of the conjectured interpolating function hlambda during the derivation of these results we analyze the protected defect supermultiplets associated to the broken symmetries including their two and threepoint correlators | [['in', 'this', 'paper', 'we', 'study', 'the', 'bremsstrahlung', 'functions', 'for', 'the', '16', 'bps', 'and', 'the', '12', 'bps', 'wilson', 'lines', 'in', 'abjm', 'theory', 'first', 'we', 'use', 'a', 'superconformal', 'defect', 'approach', 'to', 'prove', 'a', 'conjectured', 'relation', 'between', 'the', 'bremsstrahlung', 'functions', 'associated', 'to', 'the', 'geometric', 'bvarphi_16', 'and', 'rsymmetry', 'btheta_16', 'deformations', 'of', 'the', '16', 'bps', 'wilson', 'line', 'this', 'result', 'nontrivially', 'following', 'from', 'a', 'defect', 'supersymmetric', 'ward', 'identity', 'provides', 'an', 'exact', 'expression', 'for', 'btheta_16', 'based', 'on', 'a', 'known', 'result', 'for', 'bvarphi_16', 'subsequently', 'we', 'explore', 'the', 'consequences', 'of', 'this', 'relation', 'for', 'the', '12', 'bps', 'wilson', 'line', 'and', 'using', 'the', 'localization', 'result', 'for', 'the', 'multiply', 'wound', 'wilson', 'loop', 'we', 'provide', 'an', 'exact', 'closed', 'form', 'for', 'the', 'corresponding', 'bremsstrahlung', 'function', 'interestingly', 'for', 'the', 'comparison', 'with', 'integrability', 'this', 'expression', 'appears', 'particularly', 'natural', 'in', 'terms', 'of', 'the', 'conjectured', 'interpolating', 'function', 'hlambda', 'during', 'the', 'derivation', 'of', 'these', 'results', 'we', 'analyze', 'the', 'protected', 'defect', 'supermultiplets', 'associated', 'to', 'the', 'broken', 'symmetries', 'including', 'their', 'two', 'and', 'threepoint', 'correlators']] | [-0.11715537786718137, 0.10168373936402537, -0.04709232589908388, 0.13307957351207733, -0.02770778007607981, -0.11422183177131691, 0.03399033938759679, 0.3447525710952992, -0.16206729512612353, -0.26359199316839116, 0.07629969830714191, -0.2576920420134946, -0.18704278076018224, 0.15064454907613084, -0.025971681323667235, 0.058623846151576134, -0.006047863776900417, 0.03587743570732835, -0.11964398165332116, -0.20817424230576673, 0.3405527904204136, -0.006976125880594778, 0.26432666875150623, 0.11371325945484742, 0.06118165673333412, 0.02875183978070203, -0.03635820379443713, -0.03729727721174821, -0.14353524233886836, 0.17845646023599196, 0.18741435200070025, 0.08164862625529089, 0.10223793446715453, -0.41560521631791497, -0.13645677949419086, 0.07384638576722082, 0.19700556071413472, 0.11844886531621612, 0.005960912355036777, -0.25799342534822467, 0.04834367426201726, -0.16869352483468142, -0.20107533693905696, -0.06007522008729103, 0.027379489068978077, -0.07918319431910699, -0.26990364114476356, 0.06139835819412356, 0.01786599842529275, 0.06891183795049688, -0.08576942565820075, -0.07841394232841986, -0.05682484192823041, 0.13314303170753927, 0.09119577369103764, 0.04637647364196053, 0.08553279142222361, -0.1912914543591489, -0.15896032750298153, 0.32376345092683584, -0.04380891098955412, -0.19170543132658233, 0.11732260297925291, -0.13236631103637103, -0.2202672994054163, 0.09473090719748505, 0.07075111153967284, 0.14435268078995436, -0.1387151741601576, 0.1311523107617526, -0.06744921217643231, 0.11209701167555242, 0.12605992184076087, 0.009400165935096313, 0.218114530331523, 0.02267054062096143, 0.03030456386087154, 0.20555379051469969, -0.053362232286772934, -0.09411286686651951, -0.40303652577521587, -0.16493676270093052, -0.11447625818187433, 0.11900063986513788, -0.10783000821702565, -0.20087050491117484, 0.3962898069039752, 0.11023490104226037, 0.21532102485205853, 0.11812533923449452, 0.17764236380204262, 0.16326771883775068, 0.07400570606307083, 0.063765341893998, 0.20825445664343456, 0.17940613073651487, 0.08956168624202394, -0.26568700545714147, -0.09563906559880996, 0.19768159648415862] |
1,802.07727 | The X-shooter GRB afterglow legacy sample (XS-GRB) | In this work we present spectra of all $\gamma$-ray burst (GRB) afterglows
that have been promptly observed with the X-shooter spectrograph until
31-03-2017. In total, we obtained spectroscopic observations of 103 individual
GRBs observed within 48 hours of the GRB trigger. Redshifts have been measured
for 97 per cent of these, covering a redshift range from 0.059 to 7.84. Based
on a set of observational selection criteria that minimize biases with regards
to intrinsic properties of the GRBs, the follow-up effort has been focused on
producing a homogeneous sample of 93 afterglow spectra for GRBs discovered by
the Swift satellite. We here provide a public release of all the reduced
spectra, including continuum estimates and telluric absorption corrections. For
completeness, we also provide reductions for the 18 late-time observations of
the underlying host galaxies. We provide an assessment of the degree of
completeness with respect to the parent GRB population, in terms of the X-ray
properties of the bursts in the sample and find that the sample presented here
is representative of the full Swift sample. We constrain the fraction of dark
bursts to be < 28 per cent and we confirm previous results that higher optical
darkness is correlated with increased X-ray absorption. For the 42 bursts for
which it is possible, we provide a measurement of the neutral hydrogen column
density, increasing the total number of published HI column density
measurements by $\sim$ 33 per cent. This dataset provides a unique resource to
study the ISM across cosmic time, from the local progenitor surroundings to the
intervening universe.
| astro-ph.HE | in this work we present spectra of all gammaray burst grb afterglows that have been promptly observed with the xshooter spectrograph until 31032017 in total we obtained spectroscopic observations of 103 individual grbs observed within 48 hours of the grb trigger redshifts have been measured for 97 per cent of these covering a redshift range from 0059 to 784 based on a set of observational selection criteria that minimize biases with regards to intrinsic properties of the grbs the followup effort has been focused on producing a homogeneous sample of 93 afterglow spectra for grbs discovered by the swift satellite we here provide a public release of all the reduced spectra including continuum estimates and telluric absorption corrections for completeness we also provide reductions for the 18 latetime observations of the underlying host galaxies we provide an assessment of the degree of completeness with respect to the parent grb population in terms of the xray properties of the bursts in the sample and find that the sample presented here is representative of the full swift sample we constrain the fraction of dark bursts to be 28 per cent and we confirm previous results that higher optical darkness is correlated with increased xray absorption for the 42 bursts for which it is possible we provide a measurement of the neutral hydrogen column density increasing the total number of published hi column density measurements by sim 33 per cent this dataset provides a unique resource to study the ism across cosmic time from the local progenitor surroundings to the intervening universe | [['in', 'this', 'work', 'we', 'present', 'spectra', 'of', 'all', 'gammaray', 'burst', 'grb', 'afterglows', 'that', 'have', 'been', 'promptly', 'observed', 'with', 'the', 'xshooter', 'spectrograph', 'until', '31032017', 'in', 'total', 'we', 'obtained', 'spectroscopic', 'observations', 'of', '103', 'individual', 'grbs', 'observed', 'within', '48', 'hours', 'of', 'the', 'grb', 'trigger', 'redshifts', 'have', 'been', 'measured', 'for', '97', 'per', 'cent', 'of', 'these', 'covering', 'a', 'redshift', 'range', 'from', '0059', 'to', '784', 'based', 'on', 'a', 'set', 'of', 'observational', 'selection', 'criteria', 'that', 'minimize', 'biases', 'with', 'regards', 'to', 'intrinsic', 'properties', 'of', 'the', 'grbs', 'the', 'followup', 'effort', 'has', 'been', 'focused', 'on', 'producing', 'a', 'homogeneous', 'sample', 'of', '93', 'afterglow', 'spectra', 'for', 'grbs', 'discovered', 'by', 'the', 'swift', 'satellite', 'we', 'here', 'provide', 'a', 'public', 'release', 'of', 'all', 'the', 'reduced', 'spectra', 'including', 'continuum', 'estimates', 'and', 'telluric', 'absorption', 'corrections', 'for', 'completeness', 'we', 'also', 'provide', 'reductions', 'for', 'the', '18', 'latetime', 'observations', 'of', 'the', 'underlying', 'host', 'galaxies', 'we', 'provide', 'an', 'assessment', 'of', 'the', 'degree', 'of', 'completeness', 'with', 'respect', 'to', 'the', 'parent', 'grb', 'population', 'in', 'terms', 'of', 'the', 'xray', 'properties', 'of', 'the', 'bursts', 'in', 'the', 'sample', 'and', 'find', 'that', 'the', 'sample', 'presented', 'here', 'is', 'representative', 'of', 'the', 'full', 'swift', 'sample', 'we', 'constrain', 'the', 'fraction', 'of', 'dark', 'bursts', 'to', 'be', '28', 'per', 'cent', 'and', 'we', 'confirm', 'previous', 'results', 'that', 'higher', 'optical', 'darkness', 'is', 'correlated', 'with', 'increased', 'xray', 'absorption', 'for', 'the', '42', 'bursts', 'for', 'which', 'it', 'is', 'possible', 'we', 'provide', 'a', 'measurement', 'of', 'the', 'neutral', 'hydrogen', 'column', 'density', 'increasing', 'the', 'total', 'number', 'of', 'published', 'hi', 'column', 'density', 'measurements', 'by', 'sim', '33', 'per', 'cent', 'this', 'dataset', 'provides', 'a', 'unique', 'resource', 'to', 'study', 'the', 'ism', 'across', 'cosmic', 'time', 'from', 'the', 'local', 'progenitor', 'surroundings', 'to', 'the', 'intervening', 'universe']] | [-0.04593131488889398, 0.09052436471815888, -0.025907604287327954, 0.08800843196908416, -0.0834383455866789, -0.04499310294216744, 0.1067011669826831, 0.4379746218017021, -0.14003920611607762, -0.390486682634557, 0.044284621682947556, -0.352261844600096, 0.011758213907898975, 0.2156257760068474, -0.010357874314762767, 0.009175908834810636, 0.06891209736932069, -0.08535756574503268, -0.05513356054307082, -0.33004086002546845, 0.23255707487525318, 0.13019234608396774, 0.20898033257484952, -0.01855877666488694, 0.09689261219132594, -0.046916886167817334, -0.11331840479825876, -0.02027877529495569, -0.17134348922032347, 0.0665770495841063, 0.23393742924252914, 0.15625708377035696, 0.23627745385133742, -0.34667120765939324, -0.22865125539264997, 0.09576702329452878, 0.1364735329321535, 0.04817923774009628, -0.05282953431172831, -0.2747686965672603, 0.08843589869231733, -0.2033760103524203, -0.15086639969782947, 0.03385517731410011, 0.062206307530778555, 0.07390868808088694, -0.16881857004536446, 0.13333894941644914, -0.03090250883486064, 0.0896103121750887, -0.1342827157350257, -0.05465430989383193, -0.038995714960150536, 0.0713066655723739, 0.02598019690314207, 0.03891095859377623, 0.12295116299750687, -0.12685867609607793, -0.051771346182750116, 0.41382140238126813, -0.08222092165929344, 0.0172477469034132, 0.16838264359836286, -0.2114193268831415, -0.20837920742802496, 0.1973078575449122, 0.16088751314772842, 0.06989351548922298, -0.17623163789850047, -0.013884770538425073, -0.03859028015231584, 0.2336753276262483, 0.01068046398446426, 0.12277537229192956, 0.24368527658868494, 0.13236040803251875, 0.018512472071749872, 0.11180864857571099, -0.24079518109246864, 0.051897283469537966, -0.29137165778381535, -0.1357122683146781, -0.1477446627348315, 0.12708858133640227, -0.09270005245214055, -0.11202178484139343, 0.4044576161504947, 0.13877075516380544, 0.21400033344709596, 0.0875995975079569, 0.26937931983247976, 0.09081420243241466, 0.0854447830152194, 0.07520220757916916, 0.33687616275197485, 0.12028619192555084, 0.083951778875487, -0.1946730159318739, 0.08981576673289429, -0.009224498444128522] |
1,802.07728 | Light Primordial Exotic Compact Objects as All Dark Matter | The radiation emitted by horizonless exotic compact objects (ECOs), such as
wormholes, 2-2-holes, fuzzballs, gravastars, boson stars, collapsed polymers,
superspinars etc., is expected to be strongly suppressed when compared to the
radiation of black holes. If large primordial curvature fluctuations collapse
into such objects instead of black holes, they do not evaporate or evaporate
much slower than black holes and could thus constitute all of the dark matter
with masses below $M < 10^{-16}M_\odot.$ We reevaluate the relevant
experimental constraints for light ECOs in this mass range and show that very
large new parameter space down to ECO masses $M\sim 10\,{\rm TeV}$ opens up for
light primordial dark matter. A new dedicated experimental program is needed to
test this mass range of primordial dark matter.
| astro-ph.CO gr-qc hep-ph | the radiation emitted by horizonless exotic compact objects ecos such as wormholes 22holes fuzzballs gravastars boson stars collapsed polymers superspinars etc is expected to be strongly suppressed when compared to the radiation of black holes if large primordial curvature fluctuations collapse into such objects instead of black holes they do not evaporate or evaporate much slower than black holes and could thus constitute all of the dark matter with masses below m 1016m_odot we reevaluate the relevant experimental constraints for light ecos in this mass range and show that very large new parameter space down to eco masses msim 10rm tev opens up for light primordial dark matter a new dedicated experimental program is needed to test this mass range of primordial dark matter | [['the', 'radiation', 'emitted', 'by', 'horizonless', 'exotic', 'compact', 'objects', 'ecos', 'such', 'as', 'wormholes', '22holes', 'fuzzballs', 'gravastars', 'boson', 'stars', 'collapsed', 'polymers', 'superspinars', 'etc', 'is', 'expected', 'to', 'be', 'strongly', 'suppressed', 'when', 'compared', 'to', 'the', 'radiation', 'of', 'black', 'holes', 'if', 'large', 'primordial', 'curvature', 'fluctuations', 'collapse', 'into', 'such', 'objects', 'instead', 'of', 'black', 'holes', 'they', 'do', 'not', 'evaporate', 'or', 'evaporate', 'much', 'slower', 'than', 'black', 'holes', 'and', 'could', 'thus', 'constitute', 'all', 'of', 'the', 'dark', 'matter', 'with', 'masses', 'below', 'm', '1016m_odot', 'we', 'reevaluate', 'the', 'relevant', 'experimental', 'constraints', 'for', 'light', 'ecos', 'in', 'this', 'mass', 'range', 'and', 'show', 'that', 'very', 'large', 'new', 'parameter', 'space', 'down', 'to', 'eco', 'masses', 'msim', '10rm', 'tev', 'opens', 'up', 'for', 'light', 'primordial', 'dark', 'matter', 'a', 'new', 'dedicated', 'experimental', 'program', 'is', 'needed', 'to', 'test', 'this', 'mass', 'range', 'of', 'primordial', 'dark', 'matter']] | [-0.10335694256473363, 0.28363671492050757, -0.060460957539517704, 0.21608137870013402, -0.13362618269610818, -0.13585975398953126, -0.0036753395542017814, 0.29406375195679624, -0.15333698369653487, -0.3955786675366202, 0.047266537262073804, -0.29112355941830853, 0.03700063766710975, 0.22072692380222395, -0.028028946915050833, 0.0251679443413528, 0.020044761920930833, -0.024020912146528926, -0.06364615717940639, -0.22415465009171606, 0.34608671054001744, 0.08285813106269371, 0.12273795565219248, 0.018175045842289683, 0.028177191182967215, -0.08192878380811554, 0.02235584619750337, -0.005633126350159462, -0.1691292730310664, 0.01696115205200707, 0.19370206006673898, 0.1558999904030101, 0.15795557242363872, -0.41393734955387873, -0.22622968592658277, 0.19082326137619773, 0.20804898177341716, 0.125723514577177, -0.14339242690447263, -0.30861248839192273, 0.11582736960210936, -0.23105959760259867, -0.1545231965128181, -0.06279686996448271, 0.05549283889765904, -0.0525325399622836, -0.2029790479341537, 0.10663265151225364, 0.02003187029262838, -0.1457287324592471, -0.08618825290170384, -0.09516800257066886, -0.06914799690731173, -0.007814642063453718, 0.11217036178880711, 0.017169089359420586, 0.27976532865361103, -0.1479410966403964, -0.019610844980319585, 0.4212322191494267, -0.09061248031148131, -0.08910527922273652, 0.19226933633757196, -0.24354294427420672, -0.1422019663865004, 0.19032909546986343, 0.18691086281484703, 0.20327830633027402, -0.12085706792070011, 0.07274969354199957, 0.017107576302184565, 0.22109422258790432, 0.10318540715862339, 0.12438872220312677, 0.49525150349287966, 0.17340726881833157, 0.01350516294568353, 0.0758047592816723, -0.049428597842229575, -0.02070795355092098, -0.28838282652441566, -0.139812378061375, -0.14716293583377985, 0.10970397380157469, -0.1254827485131611, -0.14179385797124416, 0.2470863112172763, 0.11187609574356215, 0.20635477189974086, 0.03928134583951375, 0.2810796456216213, -0.009739287332934516, 0.09404899678533761, 0.10373402646614041, 0.36522164217734, 0.12809903052278437, 0.1089564952821891, -0.17145409903723777, -0.06435244846180445, -0.0416720994195439] |
1,802.07729 | Facilitated quantum cellular automata as simple models with nonthermal
eigenstates and dynamics | We introduce and describe a class of simple facilitated quantum spin models
in which the dynamics is due to the repeated application of unitary gates. The
gates are applied periodically in time, so their combined action constitutes a
Floquet unitary. The dynamics of the models we discuss can be classically
simulated, and their eigenstates classically constructed (although they are
highly entangled). We consider a variety of models in both one and two
dimensions, involving Clifford gates and Toffoli gates. For some of these
models, we explicitly construct conserved densities; thus these models are
"integrable." The other models do not seem to be integrable; yet, for some
system sizes and boundary conditions, their eigenstate entanglement is strongly
subthermal. Some of the models have exponentially many eigenstates in which one
or more sites are "disentangled" from the rest of the system, as a consequence
of reflection symmetry.
| cond-mat.stat-mech cond-mat.dis-nn quant-ph | we introduce and describe a class of simple facilitated quantum spin models in which the dynamics is due to the repeated application of unitary gates the gates are applied periodically in time so their combined action constitutes a floquet unitary the dynamics of the models we discuss can be classically simulated and their eigenstates classically constructed although they are highly entangled we consider a variety of models in both one and two dimensions involving clifford gates and toffoli gates for some of these models we explicitly construct conserved densities thus these models are integrable the other models do not seem to be integrable yet for some system sizes and boundary conditions their eigenstate entanglement is strongly subthermal some of the models have exponentially many eigenstates in which one or more sites are disentangled from the rest of the system as a consequence of reflection symmetry | [['we', 'introduce', 'and', 'describe', 'a', 'class', 'of', 'simple', 'facilitated', 'quantum', 'spin', 'models', 'in', 'which', 'the', 'dynamics', 'is', 'due', 'to', 'the', 'repeated', 'application', 'of', 'unitary', 'gates', 'the', 'gates', 'are', 'applied', 'periodically', 'in', 'time', 'so', 'their', 'combined', 'action', 'constitutes', 'a', 'floquet', 'unitary', 'the', 'dynamics', 'of', 'the', 'models', 'we', 'discuss', 'can', 'be', 'classically', 'simulated', 'and', 'their', 'eigenstates', 'classically', 'constructed', 'although', 'they', 'are', 'highly', 'entangled', 'we', 'consider', 'a', 'variety', 'of', 'models', 'in', 'both', 'one', 'and', 'two', 'dimensions', 'involving', 'clifford', 'gates', 'and', 'toffoli', 'gates', 'for', 'some', 'of', 'these', 'models', 'we', 'explicitly', 'construct', 'conserved', 'densities', 'thus', 'these', 'models', 'are', 'integrable', 'the', 'other', 'models', 'do', 'not', 'seem', 'to', 'be', 'integrable', 'yet', 'for', 'some', 'system', 'sizes', 'and', 'boundary', 'conditions', 'their', 'eigenstate', 'entanglement', 'is', 'strongly', 'subthermal', 'some', 'of', 'the', 'models', 'have', 'exponentially', 'many', 'eigenstates', 'in', 'which', 'one', 'or', 'more', 'sites', 'are', 'disentangled', 'from', 'the', 'rest', 'of', 'the', 'system', 'as', 'a', 'consequence', 'of', 'reflection', 'symmetry']] | [-0.14387725218407937, 0.22460810143885943, -0.0639876670428905, 0.08460456672895314, 0.0069314154330641035, -0.22151600768596963, -0.0020181935168160445, 0.4135185142015589, -0.26074593849480154, -0.26012090028359974, 0.12867203653019307, -0.24767291424474838, -0.1353128141932318, 0.21857043579140487, -0.03575999431055168, 0.07861257032972985, 0.05346752346075814, 0.029849322461362543, -0.08393656722318124, -0.2617113601898068, 0.3147766706244699, -0.01957470084267572, 0.21707820428599572, 0.006968119345476915, 0.06502533909816552, -0.05630323316757407, 0.02182654742279957, -0.016460200582213442, -0.04722543541855853, 0.10046637169043293, 0.2472400384584536, 0.11137481740322606, 0.20117959926097556, -0.4766091075693739, -0.20167050896340916, 0.12303805421909382, 0.143716561761765, 0.19025395802254308, -0.004830050499455458, -0.28791516446107035, 0.017036264237209126, -0.19092095533610676, -0.11666574675493456, -0.14149376166791752, 0.0013323930092155934, 0.0043726702943315795, -0.2146729119443174, 0.07142408590539005, 0.09147472476650928, 0.03889878171110719, -0.049175681170589965, -0.050669338462617376, -0.04455800281901812, 0.1301584468078639, -0.014581128403319625, -0.056076486935389455, 0.13924817293721797, -0.13598600490307758, -0.15011626936150071, 0.38443425780740276, -0.007638312147223744, -0.26975646221946026, 0.24323144665084265, -0.12130609177101147, -0.13731076664387665, 0.05627706988618292, 0.14452158663550327, 0.1320881999515254, -0.1564898682742155, 0.10386512217810377, -0.03003696724692167, 0.1441241709772369, 0.011653737799296605, 0.0773223854922529, 0.23754531841821455, 0.06145161719318351, 0.053996053729447185, 0.14193219553623027, -0.0198736271965478, -0.1518146816175431, -0.30770291937193994, -0.14659562011345706, -0.17546231594932232, 0.09329457148309428, -0.03848188332199713, -0.17470893546425062, 0.4430462110980318, 0.16179853284346132, 0.21887875517573335, 0.045621923407025894, 0.21432588623900867, 0.1553350421688359, 0.11516722721882679, 0.05709320325404406, 0.2051698376053286, 0.13615865170441824, 0.018416890970848757, -0.20487056447329513, 0.034503698336153195, 0.04609094037963399] |
1,802.0773 | The Environments of the Most Energetic Gamma-Ray Bursts | We analyze the properties of a sample of long gamma-ray bursts (LGRBs)
detected by the Fermi satellite that have a spectroscopic redshift and good
follow-up coverage at both X-ray and optical/nIR wavelengths. The evolution of
LGRB afterglows depends on the density profile of the external medium, enabling
us to separate wind or ISM-like environments based on the observations. We do
this by identifying the environment that provides the best agreement between
estimates of $p$, the index of the underlying power-law distribution of
electron energies, as determined by the behavior of the afterglow in different
spectral/temporal regimes. At 11 rest-frame hours after trigger, we find a
roughly even split between ISM-like and wind-like environments. We further find
a 2$\sigma$ separation in the prompt emission energy distributions of wind-like
and ISM-like bursts. We investigate the underlying physical parameters of the
shock, and calculate the (degenerate) product of density and magnetic field
energy ($\epsilon_B$). We show that $\epsilon_B$ must be $\ll 10^{-2}$ to avoid
implied densities comparable to the intergalactic medium. Finally, we find that
the most precisely constrained observations disagree on $p$ by more than would
be expected based on observational errors alone. This suggests additional
sources of error that are not incorporated in the standard afterglow theory.
For the first time, we provide a measurement of this intrinsic error which can
be represented as an error in the estimate of $p$ of magnitude $0.25 \pm 0.04$.
When this error is included in the fits, the number of LGRBs with an identified
environment drops substantially, but the equal division between the two types
remains.
| astro-ph.HE | we analyze the properties of a sample of long gammaray bursts lgrbs detected by the fermi satellite that have a spectroscopic redshift and good followup coverage at both xray and opticalnir wavelengths the evolution of lgrb afterglows depends on the density profile of the external medium enabling us to separate wind or ismlike environments based on the observations we do this by identifying the environment that provides the best agreement between estimates of p the index of the underlying powerlaw distribution of electron energies as determined by the behavior of the afterglow in different spectraltemporal regimes at 11 restframe hours after trigger we find a roughly even split between ismlike and windlike environments we further find a 2sigma separation in the prompt emission energy distributions of windlike and ismlike bursts we investigate the underlying physical parameters of the shock and calculate the degenerate product of density and magnetic field energy epsilon_b we show that epsilon_b must be ll 102 to avoid implied densities comparable to the intergalactic medium finally we find that the most precisely constrained observations disagree on p by more than would be expected based on observational errors alone this suggests additional sources of error that are not incorporated in the standard afterglow theory for the first time we provide a measurement of this intrinsic error which can be represented as an error in the estimate of p of magnitude 025 pm 004 when this error is included in the fits the number of lgrbs with an identified environment drops substantially but the equal division between the two types remains | [['we', 'analyze', 'the', 'properties', 'of', 'a', 'sample', 'of', 'long', 'gammaray', 'bursts', 'lgrbs', 'detected', 'by', 'the', 'fermi', 'satellite', 'that', 'have', 'a', 'spectroscopic', 'redshift', 'and', 'good', 'followup', 'coverage', 'at', 'both', 'xray', 'and', 'opticalnir', 'wavelengths', 'the', 'evolution', 'of', 'lgrb', 'afterglows', 'depends', 'on', 'the', 'density', 'profile', 'of', 'the', 'external', 'medium', 'enabling', 'us', 'to', 'separate', 'wind', 'or', 'ismlike', 'environments', 'based', 'on', 'the', 'observations', 'we', 'do', 'this', 'by', 'identifying', 'the', 'environment', 'that', 'provides', 'the', 'best', 'agreement', 'between', 'estimates', 'of', 'p', 'the', 'index', 'of', 'the', 'underlying', 'powerlaw', 'distribution', 'of', 'electron', 'energies', 'as', 'determined', 'by', 'the', 'behavior', 'of', 'the', 'afterglow', 'in', 'different', 'spectraltemporal', 'regimes', 'at', '11', 'restframe', 'hours', 'after', 'trigger', 'we', 'find', 'a', 'roughly', 'even', 'split', 'between', 'ismlike', 'and', 'windlike', 'environments', 'we', 'further', 'find', 'a', '2sigma', 'separation', 'in', 'the', 'prompt', 'emission', 'energy', 'distributions', 'of', 'windlike', 'and', 'ismlike', 'bursts', 'we', 'investigate', 'the', 'underlying', 'physical', 'parameters', 'of', 'the', 'shock', 'and', 'calculate', 'the', 'degenerate', 'product', 'of', 'density', 'and', 'magnetic', 'field', 'energy', 'epsilon_b', 'we', 'show', 'that', 'epsilon_b', 'must', 'be', 'll', '102', 'to', 'avoid', 'implied', 'densities', 'comparable', 'to', 'the', 'intergalactic', 'medium', 'finally', 'we', 'find', 'that', 'the', 'most', 'precisely', 'constrained', 'observations', 'disagree', 'on', 'p', 'by', 'more', 'than', 'would', 'be', 'expected', 'based', 'on', 'observational', 'errors', 'alone', 'this', 'suggests', 'additional', 'sources', 'of', 'error', 'that', 'are', 'not', 'incorporated', 'in', 'the', 'standard', 'afterglow', 'theory', 'for', 'the', 'first', 'time', 'we', 'provide', 'a', 'measurement', 'of', 'this', 'intrinsic', 'error', 'which', 'can', 'be', 'represented', 'as', 'an', 'error', 'in', 'the', 'estimate', 'of', 'p', 'of', 'magnitude', '025', 'pm', '004', 'when', 'this', 'error', 'is', 'included', 'in', 'the', 'fits', 'the', 'number', 'of', 'lgrbs', 'with', 'an', 'identified', 'environment', 'drops', 'substantially', 'but', 'the', 'equal', 'division', 'between', 'the', 'two', 'types', 'remains']] | [-0.09671657870369003, 0.13847145296907398, -0.07837527179033034, 0.1299040519116084, -0.03952835439722132, -0.08664036495966539, 0.07962566624726133, 0.42978942069360093, -0.19247653332178105, -0.35412403240174284, 0.045078155722821006, -0.27558833134772953, -0.021879310762547028, 0.20337347437775133, -0.00973815931529802, -0.028276498649422194, 0.04204809914151107, -0.04486881666858983, -0.0884497377932737, -0.22791562212865715, 0.2777732949426668, 0.09318735850406171, 0.22049566621217656, 0.006624509050788088, 0.0660863320340086, -0.0233048374001701, -0.04980045342142516, 0.0005617815510632882, -0.16168821322399424, 0.05536951547140213, 0.20470252579952528, 0.09859515938513294, 0.22803665641944088, -0.4068424732330509, -0.2279043317601824, 0.11355744523728509, 0.16044883367619725, 0.02555352786666081, -0.006149167583587504, -0.2573405624643575, 0.06780630793146529, -0.17580766942465806, -0.1403571349819269, 0.029817765400894272, 0.026569641552925936, 0.05566135660357745, -0.2441039733110593, 0.1398075236259064, 0.0012187754627821952, 0.0399837298176557, -0.10099909446497256, -0.08383392266669659, -0.024289402423803303, 0.08867737463062704, 0.06101279286223371, 0.04886316762302242, 0.14310460603255637, -0.13211396379833543, -0.045586548951802815, 0.39707524127518856, -0.07821068173068449, -0.07103099772484017, 0.18388070110125, -0.20116304298009696, -0.13555796681690022, 0.16136457617501265, 0.15894177459173245, 0.06642169972974096, -0.12836751324340803, 0.010387910449102464, 0.0032701887206615654, 0.229249686039611, 0.031115938863141162, 0.06716176898563384, 0.2347809914108508, 0.12270095589959937, 0.03174610006647853, 0.08692419831329985, -0.1693539089445053, 0.009380205206036255, -0.30864047938389066, -0.11204637288211895, -0.1687315236612664, 0.1032111187570907, -0.12825874131111134, -0.1248180850936395, 0.38154748142945744, 0.15018301089880776, 0.22352430723138325, 0.0656083598915125, 0.27882146960718, 0.12646251733464595, 0.0410075931070472, 0.1146686120258239, 0.3104543940427194, 0.1055137157042063, 0.06057977486216954, -0.2184767825404566, 0.11657328039002499, -0.02022845528483078] |
1,802.07731 | Modal Decomposition of TTV - Inferring Planet Masses and Eccentricities | Transit timing variations (TTVs) are a powerful tool for characterizing the
properties of transiting exoplanets. However, inferring planet properties from
the observed timing variations is a challenging task, which is usually
addressed by extensive numerical searches. We propose a new, computationally
inexpensive method for inverting TTV signals in a planetary system of two
transiting planets. To the lowest order in planetary masses and eccentricities,
TTVs can be expressed as a linear combination of 3 functions, which we call the
\textit{TTV modes}. These functions depend only on the planets' linear
ephemerides, and can be either constructed analytically, or by performing 3
orbital integrations of the three-body system. Given a TTV signal, the
underlying physical parameters are found by decomposing the data as a sum of
the TTV modes. We demonstrate the use of this method by inferring the mass and
eccentricity of 6 \textit{Kepler} planets that were previously characterized in
other studies. Finally we discuss the implications and future prospects of our
new method.
| astro-ph.EP | transit timing variations ttvs are a powerful tool for characterizing the properties of transiting exoplanets however inferring planet properties from the observed timing variations is a challenging task which is usually addressed by extensive numerical searches we propose a new computationally inexpensive method for inverting ttv signals in a planetary system of two transiting planets to the lowest order in planetary masses and eccentricities ttvs can be expressed as a linear combination of 3 functions which we call the textitttv modes these functions depend only on the planets linear ephemerides and can be either constructed analytically or by performing 3 orbital integrations of the threebody system given a ttv signal the underlying physical parameters are found by decomposing the data as a sum of the ttv modes we demonstrate the use of this method by inferring the mass and eccentricity of 6 textitkepler planets that were previously characterized in other studies finally we discuss the implications and future prospects of our new method | [['transit', 'timing', 'variations', 'ttvs', 'are', 'a', 'powerful', 'tool', 'for', 'characterizing', 'the', 'properties', 'of', 'transiting', 'exoplanets', 'however', 'inferring', 'planet', 'properties', 'from', 'the', 'observed', 'timing', 'variations', 'is', 'a', 'challenging', 'task', 'which', 'is', 'usually', 'addressed', 'by', 'extensive', 'numerical', 'searches', 'we', 'propose', 'a', 'new', 'computationally', 'inexpensive', 'method', 'for', 'inverting', 'ttv', 'signals', 'in', 'a', 'planetary', 'system', 'of', 'two', 'transiting', 'planets', 'to', 'the', 'lowest', 'order', 'in', 'planetary', 'masses', 'and', 'eccentricities', 'ttvs', 'can', 'be', 'expressed', 'as', 'a', 'linear', 'combination', 'of', '3', 'functions', 'which', 'we', 'call', 'the', 'textitttv', 'modes', 'these', 'functions', 'depend', 'only', 'on', 'the', 'planets', 'linear', 'ephemerides', 'and', 'can', 'be', 'either', 'constructed', 'analytically', 'or', 'by', 'performing', '3', 'orbital', 'integrations', 'of', 'the', 'threebody', 'system', 'given', 'a', 'ttv', 'signal', 'the', 'underlying', 'physical', 'parameters', 'are', 'found', 'by', 'decomposing', 'the', 'data', 'as', 'a', 'sum', 'of', 'the', 'ttv', 'modes', 'we', 'demonstrate', 'the', 'use', 'of', 'this', 'method', 'by', 'inferring', 'the', 'mass', 'and', 'eccentricity', 'of', '6', 'textitkepler', 'planets', 'that', 'were', 'previously', 'characterized', 'in', 'other', 'studies', 'finally', 'we', 'discuss', 'the', 'implications', 'and', 'future', 'prospects', 'of', 'our', 'new', 'method']] | [-0.15573991757830502, 0.13892535124273028, -0.07546123903083765, 0.08820442347801694, -0.11956558845661304, -0.09824861388619023, 0.06507361063842926, 0.3385649500874641, -0.21357158647654692, -0.3553898686364891, 0.14232268149139543, -0.25321223514289654, -0.19237198718582038, 0.2479691998731276, -0.046764490316782925, 0.12635772776456528, 0.15302668312883558, -0.05753768550988034, -0.0671720793398879, -0.25601941294232267, 0.2658089335639904, 0.012314790862692911, 0.038908302775342705, -0.00639418477801905, 0.04781595663308384, -0.001520398396274282, -0.057556356438493106, -0.029342687062137288, -0.14625666008039304, 0.1003390909689996, 0.2449851760548758, 0.16989296052696895, 0.1990825526766985, -0.3715324545089431, -0.21605201739455676, 0.08450938671551368, 0.1616973300251742, 0.07856000448076951, -0.02961513565718139, -0.31231658399840934, 0.0847072140151997, -0.1920687032369092, -0.14276126334889228, -0.11028137823773755, 0.0672309475456491, 0.041956665472236726, -0.29374657074610394, 0.07971289698149503, 0.034197169036983895, 0.1299420420905391, -0.10538899046685087, -0.14887998458055526, -0.03673247982788095, 0.10160895399203133, 0.0433402419512052, -0.037177696494948995, 0.12236403647442291, -0.07053508597029443, -0.1128351799827529, 0.39882962352791684, -0.08976221391262866, -0.17073057155285812, 0.20334234391914013, -0.16849651546964858, -0.13805974028533163, 0.1256560234002263, 0.18778605645028068, 0.15161083687246305, -0.21059652236807677, 0.01917426293445636, -0.006278133726920243, 0.22422658595153028, 0.08073578766018244, 0.044954499761562475, 0.3484499775517134, 0.16724614124963588, 0.053445624533241594, 0.08246009246579854, -0.1834018058617841, -0.010542753353760934, -0.18811110863397415, -0.09837214145119544, -0.19932259093642374, -0.010150502704624316, -0.0890420788297585, -0.11513008171531522, 0.43312070717069284, 0.1665392450493887, 0.18355770420030126, 0.058206276378858786, 0.34793769300305916, 0.1482547877872374, 0.06639368841309606, 0.05013589562674306, 0.30852936780407886, 0.08812651860981857, 0.043825646566319064, -0.2500914771495715, 0.12008861209593576, 0.016689729894062987] |
1,802.07732 | Is the macronova in GW170817 powered by the central engine? | The gravitational wave event GW170817 from a binary neutron star (NS) merger
is accompanied by electromagnetic counterparts, and the optical and
near-infared emission is called a macronova (or kilonova). Although the
radioactivity of synthesized r-process elements is widely discussed as an
energy source, its decisive evidence is not clearly shown yet. We discuss a
macronova powered by the central engine activities such as jet activities and
X-rays from the matter fallback, and show that the engine model allows much
broader parameter spaces, in particular smaller ejecta mass
($\sim10^{-4}-0.01\,\Msun$) than the r-process model. The blue and red
macronovae are naturally explained by various combinations of the ejecta such
as a cocoon and merger ejecta with the energy sources of jets and X-rays. The
required energy injection is very similar to the X-ray excess observed in GRB
130603B with the power-law slope of $\sim-1.3$. The required lanthanoid
fraction for the opacity can be also consistent with the Galactic one. Early or
late multi-wavelength observations are crucial for revealing the central engine
of short gamma-ray bursts and the r-process nucleosynthesis.
| astro-ph.HE | the gravitational wave event gw170817 from a binary neutron star ns merger is accompanied by electromagnetic counterparts and the optical and nearinfared emission is called a macronova or kilonova although the radioactivity of synthesized rprocess elements is widely discussed as an energy source its decisive evidence is not clearly shown yet we discuss a macronova powered by the central engine activities such as jet activities and xrays from the matter fallback and show that the engine model allows much broader parameter spaces in particular smaller ejecta mass sim104001msun than the rprocess model the blue and red macronovae are naturally explained by various combinations of the ejecta such as a cocoon and merger ejecta with the energy sources of jets and xrays the required energy injection is very similar to the xray excess observed in grb 130603b with the powerlaw slope of sim13 the required lanthanoid fraction for the opacity can be also consistent with the galactic one early or late multiwavelength observations are crucial for revealing the central engine of short gammaray bursts and the rprocess nucleosynthesis | [['the', 'gravitational', 'wave', 'event', 'gw170817', 'from', 'a', 'binary', 'neutron', 'star', 'ns', 'merger', 'is', 'accompanied', 'by', 'electromagnetic', 'counterparts', 'and', 'the', 'optical', 'and', 'nearinfared', 'emission', 'is', 'called', 'a', 'macronova', 'or', 'kilonova', 'although', 'the', 'radioactivity', 'of', 'synthesized', 'rprocess', 'elements', 'is', 'widely', 'discussed', 'as', 'an', 'energy', 'source', 'its', 'decisive', 'evidence', 'is', 'not', 'clearly', 'shown', 'yet', 'we', 'discuss', 'a', 'macronova', 'powered', 'by', 'the', 'central', 'engine', 'activities', 'such', 'as', 'jet', 'activities', 'and', 'xrays', 'from', 'the', 'matter', 'fallback', 'and', 'show', 'that', 'the', 'engine', 'model', 'allows', 'much', 'broader', 'parameter', 'spaces', 'in', 'particular', 'smaller', 'ejecta', 'mass', 'sim104001msun', 'than', 'the', 'rprocess', 'model', 'the', 'blue', 'and', 'red', 'macronovae', 'are', 'naturally', 'explained', 'by', 'various', 'combinations', 'of', 'the', 'ejecta', 'such', 'as', 'a', 'cocoon', 'and', 'merger', 'ejecta', 'with', 'the', 'energy', 'sources', 'of', 'jets', 'and', 'xrays', 'the', 'required', 'energy', 'injection', 'is', 'very', 'similar', 'to', 'the', 'xray', 'excess', 'observed', 'in', 'grb', '130603b', 'with', 'the', 'powerlaw', 'slope', 'of', 'sim13', 'the', 'required', 'lanthanoid', 'fraction', 'for', 'the', 'opacity', 'can', 'be', 'also', 'consistent', 'with', 'the', 'galactic', 'one', 'early', 'or', 'late', 'multiwavelength', 'observations', 'are', 'crucial', 'for', 'revealing', 'the', 'central', 'engine', 'of', 'short', 'gammaray', 'bursts', 'and', 'the', 'rprocess', 'nucleosynthesis']] | [-0.03880364022284214, 0.16755596182916113, -0.055984093616051334, 0.1959281555942393, -0.13542910420868012, -0.07306527355951922, 0.027198619840533605, 0.43843274124631926, -0.19057249824117337, -0.3279045630991459, 0.056155825611203906, -0.3197028041219372, -0.009883989320535745, 0.2562815674128277, 0.004170586353034846, -0.01679587652673945, 0.1075000595592428, -0.023887117286877972, -0.04378032819101853, -0.16016960009865994, 0.28407035058297747, 0.1594099380847599, 0.15852721008655082, 0.012282741429018123, 0.04982176000518458, -0.08525455398884203, -0.04883727649492877, -0.06585649904928037, -0.05683189724060607, 0.018393181126032557, 0.216041369009763, 0.16344589879071073, 0.15975935436677122, -0.4120496090062495, -0.27110916275996716, 0.12147503715008497, 0.17314907831539, 0.012087379187578335, -0.12542154760499086, -0.27155571798195266, 0.061850746480881104, -0.2929756376253707, -0.11865894557375993, 0.0838996645941266, 0.04065878303987639, 0.08631187893184168, -0.20552197140541725, 0.10396546461735852, 0.05737939398935331, 0.00013985817187598773, -0.09123203427231472, -0.03945353486176048, -0.05744826826998698, 0.0040228718106767964, 0.11613776789978146, 0.0697471126820892, 0.18140771291085653, -0.14847379401392702, -0.06069810267005648, 0.45983361137764794, -0.0282814543951203, 0.043674015221851215, 0.18159199863406164, -0.18002197278131332, -0.15997773487120867, 0.20264542017398135, 0.09983775554490941, 0.1111838871373662, -0.1518402474679585, -0.04188470369737063, 0.029270713148455668, 0.1983980417449493, 0.024170668675963368, 0.07351873494684696, 0.3461310498309987, 0.17188731837019858, -0.039261928261922936, 0.11723221889896585, -0.18688820058745997, 0.003945919928872691, -0.28907444273786886, -0.10004409488290548, -0.14479343121073077, 0.12051853758316221, -0.14567415267752948, -0.1127684427854339, 0.36507429529908614, 0.05020952519827655, 0.17413434871339373, -0.01809877051971853, 0.28981616499168533, 0.10348372538174902, 0.07973470761307648, 0.14012917914960002, 0.3367722591970648, 0.14292726939810174, 0.12941760515461542, -0.22369786801614933, 0.16782770084749374, 0.02905723035867725] |
1,802.07733 | Magnetotransport in multi-Weyl semimetals: A kinetic theory approach | We study the longitudinal magnetotransport in three-dimensional multi-Weyl
semimetals, constituted by a pair of (anti)-monopole of arbitrary integer
charge ($n$), with $n=1,2$ and $3$ in a crystalline environment. For any $n>1$,
even though the distribution of the underlying Berry curvature is anisotropic,
the corresponding intrinsic component of the longitudinal magnetoconductivity
(LMC), bearing the signature of the chiral anomaly, is insensitive to the
direction of the external magnetic field ($B$) and increases as $B^2$, at least
when it is sufficiently weak (the semi-classical regime). In addition, the LMC
scales as $n^3$ with the monopole charge. We demonstrate these outcomes for two
distinct scenarios, namely when inter-particle collisions in the Weyl medium
are effectively described by (a) a single and (b) two (corresponding to inter-
and intra-valley) scattering times. While in the former situation the
contribution to LMC from chiral anomaly is inseparable from the non-anomalous
ones, these two contributions are characterized by different time scales in the
later construction. Specifically for sufficiently large inter-valley scattering
time the LMC is dominated by the anomalous contribution, arising from the
chiral anomaly. The predicted scaling of LMC and the signature of chiral
anomaly can be observed in recently proposed candidate materials, accommodating
multi-Weyl semimetals in various solid state compounds.
| cond-mat.mes-hall hep-th | we study the longitudinal magnetotransport in threedimensional multiweyl semimetals constituted by a pair of antimonopole of arbitrary integer charge n with n12 and 3 in a crystalline environment for any n1 even though the distribution of the underlying berry curvature is anisotropic the corresponding intrinsic component of the longitudinal magnetoconductivity lmc bearing the signature of the chiral anomaly is insensitive to the direction of the external magnetic field b and increases as b2 at least when it is sufficiently weak the semiclassical regime in addition the lmc scales as n3 with the monopole charge we demonstrate these outcomes for two distinct scenarios namely when interparticle collisions in the weyl medium are effectively described by a a single and b two corresponding to inter and intravalley scattering times while in the former situation the contribution to lmc from chiral anomaly is inseparable from the nonanomalous ones these two contributions are characterized by different time scales in the later construction specifically for sufficiently large intervalley scattering time the lmc is dominated by the anomalous contribution arising from the chiral anomaly the predicted scaling of lmc and the signature of chiral anomaly can be observed in recently proposed candidate materials accommodating multiweyl semimetals in various solid state compounds | [['we', 'study', 'the', 'longitudinal', 'magnetotransport', 'in', 'threedimensional', 'multiweyl', 'semimetals', 'constituted', 'by', 'a', 'pair', 'of', 'antimonopole', 'of', 'arbitrary', 'integer', 'charge', 'n', 'with', 'n12', 'and', '3', 'in', 'a', 'crystalline', 'environment', 'for', 'any', 'n1', 'even', 'though', 'the', 'distribution', 'of', 'the', 'underlying', 'berry', 'curvature', 'is', 'anisotropic', 'the', 'corresponding', 'intrinsic', 'component', 'of', 'the', 'longitudinal', 'magnetoconductivity', 'lmc', 'bearing', 'the', 'signature', 'of', 'the', 'chiral', 'anomaly', 'is', 'insensitive', 'to', 'the', 'direction', 'of', 'the', 'external', 'magnetic', 'field', 'b', 'and', 'increases', 'as', 'b2', 'at', 'least', 'when', 'it', 'is', 'sufficiently', 'weak', 'the', 'semiclassical', 'regime', 'in', 'addition', 'the', 'lmc', 'scales', 'as', 'n3', 'with', 'the', 'monopole', 'charge', 'we', 'demonstrate', 'these', 'outcomes', 'for', 'two', 'distinct', 'scenarios', 'namely', 'when', 'interparticle', 'collisions', 'in', 'the', 'weyl', 'medium', 'are', 'effectively', 'described', 'by', 'a', 'a', 'single', 'and', 'b', 'two', 'corresponding', 'to', 'inter', 'and', 'intravalley', 'scattering', 'times', 'while', 'in', 'the', 'former', 'situation', 'the', 'contribution', 'to', 'lmc', 'from', 'chiral', 'anomaly', 'is', 'inseparable', 'from', 'the', 'nonanomalous', 'ones', 'these', 'two', 'contributions', 'are', 'characterized', 'by', 'different', 'time', 'scales', 'in', 'the', 'later', 'construction', 'specifically', 'for', 'sufficiently', 'large', 'intervalley', 'scattering', 'time', 'the', 'lmc', 'is', 'dominated', 'by', 'the', 'anomalous', 'contribution', 'arising', 'from', 'the', 'chiral', 'anomaly', 'the', 'predicted', 'scaling', 'of', 'lmc', 'and', 'the', 'signature', 'of', 'chiral', 'anomaly', 'can', 'be', 'observed', 'in', 'recently', 'proposed', 'candidate', 'materials', 'accommodating', 'multiweyl', 'semimetals', 'in', 'various', 'solid', 'state', 'compounds']] | [-0.19059341312045366, 0.22419839321703808, -0.05276670323162362, 0.05731700926155942, -0.04101141437365696, -0.14628442515414664, 0.00919677587339609, 0.3341442804692722, -0.2525132074497822, -0.29778758020753543, 0.026808631792664527, -0.3139195124732285, -0.14183178881478564, 0.13090927569627217, 0.044918212021996334, -7.118067772286694e-05, -0.03267901658035088, 0.014224171365906552, -0.05317432603844237, -0.2139972994796841, 0.32427123140816283, -0.01244132389973213, 0.2664360928803501, 0.0592497574233609, 0.04697095162076194, -0.012680110380780407, 0.007354305423909753, 0.056249651074318625, -0.060948334170914276, 0.051365328924418086, 0.22850797750089863, -0.05221397235262685, 0.1444321470688986, -0.4168373282726218, -0.19081146483885963, 0.07492857132470462, 0.16015526229492957, 0.13201185929157386, -0.039687060439822876, -0.2867297425729836, 0.08523667579198756, -0.1428413530130212, -0.15775462285411068, -0.04587775187612307, 0.05756754083729281, -0.04290935567199684, -0.25946770344474696, 0.12801867600348665, 0.047761180289316835, 0.06734150182910081, -0.08148493739015354, -0.1332631542608596, -0.04977425871042126, 0.0853372256285738, 0.1165960680386733, 0.04660254111797435, 0.11974629627586138, -0.16309267327518814, -0.10828416194460105, 0.39843674785778405, -0.07925407346054093, -0.1348419543673716, 0.16500890993672174, -0.18463712637653437, -0.12108014711511049, 0.1564678691213996, 0.11991968591947381, 0.10103256209744936, -0.1315037226152504, 0.1175830577554468, -0.0203089454006858, 0.10010679053914984, 0.04593977210588935, 0.0636186527633449, 0.24652844521319267, 0.12118669972505147, 0.031538259599176124, 0.1278558947617279, -0.1479930261354439, -0.06788188423961401, -0.30482608289230706, -0.1470273930149255, -0.22059251884929837, 0.07307007958487502, -0.1104296628132366, -0.13334472153049032, 0.36647477258712324, 0.10143204934805597, 0.22605858352489588, -0.02060056286636831, 0.2857443794108382, 0.09763883915900184, 0.0928998382495171, 0.06797203037251787, 0.26181923534675705, 0.14420365469484794, 0.09856461731421694, -0.2778386338943298, 0.05313476291371555, 0.042381734657669215] |
1,802.07734 | Quantifying Feedback from Narrow Line Region Outflows in Nearby Active
Galaxies. I. Spatially Resolved Mass Outflow Rates for the Seyfert 2 Galaxy
Markarian 573 | We present the first spatially resolved mass outflow rate measurements ($\dot
M_{out}$) of the optical emission line gas in the narrow line region (NLR) of a
Seyfert 2 galaxy, Markarian 573. Using long slit spectra and [O III] imaging
from the Hubble Space Telescope and Apache Point Observatory in conjunction
with emission line diagnostics and Cloudy photoionization models, we find a
peak outflow rate of $\dot M_{out} \approx$ 3.4 $\pm$ 0.5 $M_{\odot}$ yr$^{-1}$
at a distance of 210 pc from the central supermassive black hole (SMBH). The
outflow extends to distances of 600 pc from the nucleus with a total mass and
kinetic energy of $M \approx 2.2 \times 10^6 M_{\odot}$ and $E \approx 5.1
\times 10^{54}$ erg, revealing the outflows to be more energetic than those in
the lower luminosity Seyfert 1 galaxy NGC 4151 (Crenshaw et al. 2015). The peak
outflow rate is an order of magnitude larger than the mass accretion and
nuclear outflow rates, indicating local in-situ acceleration of the
circumnuclear NLR gas. We compare these results to global techniques that
quantify an average outflow rate across the NLR, and find the latter are
subject to larger uncertainties. These results indicate that spatially resolved
observations are critical for probing AGN feedback on scales where
circumnuclear star formation occurs.
| astro-ph.GA | we present the first spatially resolved mass outflow rate measurements dot m_out of the optical emission line gas in the narrow line region nlr of a seyfert 2 galaxy markarian 573 using long slit spectra and o iii imaging from the hubble space telescope and apache point observatory in conjunction with emission line diagnostics and cloudy photoionization models we find a peak outflow rate of dot m_out approx 34 pm 05 m_odot yr1 at a distance of 210 pc from the central supermassive black hole smbh the outflow extends to distances of 600 pc from the nucleus with a total mass and kinetic energy of m approx 22 times 106 m_odot and e approx 51 times 1054 erg revealing the outflows to be more energetic than those in the lower luminosity seyfert 1 galaxy ngc 4151 crenshaw et al 2015 the peak outflow rate is an order of magnitude larger than the mass accretion and nuclear outflow rates indicating local insitu acceleration of the circumnuclear nlr gas we compare these results to global techniques that quantify an average outflow rate across the nlr and find the latter are subject to larger uncertainties these results indicate that spatially resolved observations are critical for probing agn feedback on scales where circumnuclear star formation occurs | [['we', 'present', 'the', 'first', 'spatially', 'resolved', 'mass', 'outflow', 'rate', 'measurements', 'dot', 'm_out', 'of', 'the', 'optical', 'emission', 'line', 'gas', 'in', 'the', 'narrow', 'line', 'region', 'nlr', 'of', 'a', 'seyfert', '2', 'galaxy', 'markarian', '573', 'using', 'long', 'slit', 'spectra', 'and', 'o', 'iii', 'imaging', 'from', 'the', 'hubble', 'space', 'telescope', 'and', 'apache', 'point', 'observatory', 'in', 'conjunction', 'with', 'emission', 'line', 'diagnostics', 'and', 'cloudy', 'photoionization', 'models', 'we', 'find', 'a', 'peak', 'outflow', 'rate', 'of', 'dot', 'm_out', 'approx', '34', 'pm', '05', 'm_odot', 'yr1', 'at', 'a', 'distance', 'of', '210', 'pc', 'from', 'the', 'central', 'supermassive', 'black', 'hole', 'smbh', 'the', 'outflow', 'extends', 'to', 'distances', 'of', '600', 'pc', 'from', 'the', 'nucleus', 'with', 'a', 'total', 'mass', 'and', 'kinetic', 'energy', 'of', 'm', 'approx', '22', 'times', '106', 'm_odot', 'and', 'e', 'approx', '51', 'times', '1054', 'erg', 'revealing', 'the', 'outflows', 'to', 'be', 'more', 'energetic', 'than', 'those', 'in', 'the', 'lower', 'luminosity', 'seyfert', '1', 'galaxy', 'ngc', '4151', 'crenshaw', 'et', 'al', '2015', 'the', 'peak', 'outflow', 'rate', 'is', 'an', 'order', 'of', 'magnitude', 'larger', 'than', 'the', 'mass', 'accretion', 'and', 'nuclear', 'outflow', 'rates', 'indicating', 'local', 'insitu', 'acceleration', 'of', 'the', 'circumnuclear', 'nlr', 'gas', 'we', 'compare', 'these', 'results', 'to', 'global', 'techniques', 'that', 'quantify', 'an', 'average', 'outflow', 'rate', 'across', 'the', 'nlr', 'and', 'find', 'the', 'latter', 'are', 'subject', 'to', 'larger', 'uncertainties', 'these', 'results', 'indicate', 'that', 'spatially', 'resolved', 'observations', 'are', 'critical', 'for', 'probing', 'agn', 'feedback', 'on', 'scales', 'where', 'circumnuclear', 'star', 'formation', 'occurs']] | [-0.06344434159658498, 0.053232622597139234, 0.023853464860398816, 0.10321038508324286, -0.044384109139670884, -0.10481764525746189, 0.03166307209011273, 0.47584238619420605, -0.12793264158491818, -0.35775469237815516, 0.043578753247307964, -0.3032452345843304, 0.08955686454406395, 0.22403998737375005, 0.012700305265272344, -0.05681745303829886, 0.014614890125435437, -0.14636940022442876, -0.08784994166476195, -0.20835819516664827, 0.2857375182738563, 0.14115021555939303, 0.1399533936165203, 0.013207848652251964, 0.08921310157028581, -0.14241451268822378, -0.040686437227534795, -0.07213486725739576, -0.2131934955522977, 0.020692908244629233, 0.21534325006903704, 0.1026733657674653, 0.2369235054730385, -0.3298949356704845, -0.1902615105753044, 0.03701023904184969, 0.22444540176118882, -0.009074886612822566, -0.022836815472266677, -0.2750420040343361, 0.02990774618558375, -0.22508701824424965, -0.14798246715042107, 0.1456721283631061, 0.07486563541856155, 0.016966668051891075, -0.25128277392513204, 0.2262070760134177, -0.02902333027318577, 0.08464203115535092, -0.13528262730248553, -0.06167412657600406, -0.0720615313604764, 0.007743381499752121, 0.0272175561694894, 0.14341249764470806, 0.29150095946190635, -0.09466571241362647, -0.029442466690560873, 0.3771506695314047, -0.0413359448749996, 0.08656196204949838, 0.21313143075160454, -0.2872992172817489, -0.13797844752102634, 0.2330781283924567, 0.14581510362891867, 0.13273255999489986, -0.11756103781473665, -0.029421878671921562, -0.04593951642150301, 0.2869558555173154, 0.03128694754779198, 0.07610457632616535, 0.29558053108828386, 0.0744348836289543, 0.05097585716196951, 0.04507603955988878, -0.27975078119994096, -0.047059952344290716, -0.22114753936426187, -0.08208295047356756, -0.10549060588720131, 0.17415059317355835, -0.20463628494703784, -0.012322023560354521, 0.2842220353546886, 0.08229715702341395, 0.28890444483731015, 0.02390695274310551, 0.2847972288156666, 0.07864141807933163, 0.07987757650080998, 0.19645262700461624, 0.3389363769811956, 0.18478543240849352, 0.10486204692553554, -0.2747461782539931, 0.009436124412975502, 0.02918359001918327] |
1,802.07735 | Characterization of echoes: A Dyson-series representation of individual
pulses | The ability to detect and scrutinize gravitational waves from the merger and
coalescence of compact binaries opens up the possibility to perform tests of
fundamental physics. One such test concerns the dark, nature of compact
objects: are they really black holes? It was recently pointed out that the
absence of horizons -- while keeping the external geometry very close to that
of General Relativity -- would manifest itself in a series of echoes in
gravitational wave signals. The observation of echoes by LIGO/Virgo or upcoming
facilities would likely inform us on quantum gravity effects or unseen types of
matter. Detection of such signals is in principle feasible with relatively
simple tools, but would benefit enormously from accurate templates. Here we
analytically individualize each echo waveform and show that it can be written
as a Dyson series, for arbitrary effective potential and boundary conditions.
We further apply the formalism to explicitly determine the echoes of a simple
toy model: the Dirac delta potential. Our results allow to read off a few known
features of echoes and may find application in the modelling for data analysis.
| gr-qc hep-th | the ability to detect and scrutinize gravitational waves from the merger and coalescence of compact binaries opens up the possibility to perform tests of fundamental physics one such test concerns the dark nature of compact objects are they really black holes it was recently pointed out that the absence of horizons while keeping the external geometry very close to that of general relativity would manifest itself in a series of echoes in gravitational wave signals the observation of echoes by ligovirgo or upcoming facilities would likely inform us on quantum gravity effects or unseen types of matter detection of such signals is in principle feasible with relatively simple tools but would benefit enormously from accurate templates here we analytically individualize each echo waveform and show that it can be written as a dyson series for arbitrary effective potential and boundary conditions we further apply the formalism to explicitly determine the echoes of a simple toy model the dirac delta potential our results allow to read off a few known features of echoes and may find application in the modelling for data analysis | [['the', 'ability', 'to', 'detect', 'and', 'scrutinize', 'gravitational', 'waves', 'from', 'the', 'merger', 'and', 'coalescence', 'of', 'compact', 'binaries', 'opens', 'up', 'the', 'possibility', 'to', 'perform', 'tests', 'of', 'fundamental', 'physics', 'one', 'such', 'test', 'concerns', 'the', 'dark', 'nature', 'of', 'compact', 'objects', 'are', 'they', 'really', 'black', 'holes', 'it', 'was', 'recently', 'pointed', 'out', 'that', 'the', 'absence', 'of', 'horizons', 'while', 'keeping', 'the', 'external', 'geometry', 'very', 'close', 'to', 'that', 'of', 'general', 'relativity', 'would', 'manifest', 'itself', 'in', 'a', 'series', 'of', 'echoes', 'in', 'gravitational', 'wave', 'signals', 'the', 'observation', 'of', 'echoes', 'by', 'ligovirgo', 'or', 'upcoming', 'facilities', 'would', 'likely', 'inform', 'us', 'on', 'quantum', 'gravity', 'effects', 'or', 'unseen', 'types', 'of', 'matter', 'detection', 'of', 'such', 'signals', 'is', 'in', 'principle', 'feasible', 'with', 'relatively', 'simple', 'tools', 'but', 'would', 'benefit', 'enormously', 'from', 'accurate', 'templates', 'here', 'we', 'analytically', 'individualize', 'each', 'echo', 'waveform', 'and', 'show', 'that', 'it', 'can', 'be', 'written', 'as', 'a', 'dyson', 'series', 'for', 'arbitrary', 'effective', 'potential', 'and', 'boundary', 'conditions', 'we', 'further', 'apply', 'the', 'formalism', 'to', 'explicitly', 'determine', 'the', 'echoes', 'of', 'a', 'simple', 'toy', 'model', 'the', 'dirac', 'delta', 'potential', 'our', 'results', 'allow', 'to', 'read', 'off', 'a', 'few', 'known', 'features', 'of', 'echoes', 'and', 'may', 'find', 'application', 'in', 'the', 'modelling', 'for', 'data', 'analysis']] | [-0.1061564189009944, 0.10054301650386181, -0.12806133411640486, 0.12197476909252825, -0.13723705614696943, -0.13818802140591727, 0.056585767827058146, 0.33195969608489545, -0.22522742234446763, -0.3304431054736027, 0.10854916895002864, -0.287236828220737, -0.15387131737744703, 0.24185727431904525, -0.02471495597306025, 0.03695158633035045, 0.07537030769962368, 0.02243420238744795, -0.07620526200280638, -0.21170829454498305, 0.2813347493660391, 0.09115279649811603, 0.20682268467690837, 0.026855024720214636, 0.07435368748629916, 0.0017791493177915423, -0.051261527926896464, -0.005172512890607282, -0.07438953208750988, 0.05698939822780501, 0.26783213997771455, 0.16640707937895657, 0.21785343090804027, -0.4528177783486771, -0.24838424420270783, 0.08673931218768152, 0.12648745161637276, 0.16223262602483834, -0.06041136925597419, -0.32139423652807925, 0.05525614135686927, -0.19699811208532653, -0.18762691575614224, -0.09724695216813176, 0.04967139213305008, -0.003895916432656532, -0.23557223629137336, 0.057791465971904175, 0.05020668095100548, -0.05649857561277983, -0.04372567102021364, -0.04148879532758556, 0.021980429949638034, 0.11497166254660013, 0.0650472298839504, 0.012028142986409775, 0.14599379448342945, -0.1264519233046775, -0.12197778852442842, 0.4033012165749384, -0.07083401531729448, -0.17096775458552516, 0.23662894688787164, -0.18956835555670026, -0.135471125488978, 0.12321409964319932, 0.1772247190372302, 0.13219760821820084, -0.13976119171602877, 0.038876496630549366, 0.03350445037974099, 0.17184910985160168, 0.10210850592549113, 0.03813826947141653, 0.3440093239270417, 0.12720053334295708, 0.012694912266682137, 0.11466957401205366, -0.10518334365506135, -0.02726380410220392, -0.2915832629231583, -0.12078614966572626, -0.1711947047535412, 0.08548686960876783, -0.07060452802021985, -0.1326589851287081, 0.36476938174474616, 0.1709155732731253, 0.14180448745085683, 0.010539735607280918, 0.2693635126852514, 0.06448174424720211, 0.08245530620647165, 0.02785181594183566, 0.30196767195465635, 0.11068431501517298, 0.07513280670353017, -0.18091241821933252, 0.02455581511514118, -0.014148355263367213] |
1,802.07736 | Quantum field theory of nematic transitions in spin orbit coupled spin-1
polar bosons | We theoretically study an ultra-cold gas of spin-1 polar bosons in a one
dimensional continuum which are subject to linear and quadratic Zeeman fields
and a Raman induced spin-orbit coupling. Concentrating on the regime in which
the background fields can be treated perturbatively we analytically solve the
model in its low-energy sector, i.e. we characterize the relevant phases and
the quantum phase transitions between them. Depending on the sign of the
effective quadratic Zeeman field $\epsilon$, two superfluid phases with
distinct nematic order appear. In addition, we uncover a spin-disordered
superfluid phase at strong coupling. We employ a combination of renormalization
group calculations and duality transformations to access the nature of the
phase transitions. At $\epsilon = 0$, a line of spin-charge separated pairs of
Luttinger liquids divides the two nematic phases and the transition to the spin
disordered state at strong coupling is of the Berezinskii-Kosterlitz-Thouless
type. In contrast, at $\epsilon \neq 0$, the quantum critical theory separating
nematic and strong coupling spin disordered phases contains a Luttinger liquid
in the charge sector that is coupled to a Majorana fermion in the spin sector
(i.e. the critical theory at finite $\epsilon$ maps to a quantum critical Ising
model that is coupled to the charge Luttinger liquid). Due to an emergent
Lorentz symmetry, both have the same, logarithmically diverging velocity. We
discuss the experimental signatures of our findings that are relevant to
ongoing experiments in ultra-cold atomic gases of $^{23}$Na.
| cond-mat.quant-gas cond-mat.str-el | we theoretically study an ultracold gas of spin1 polar bosons in a one dimensional continuum which are subject to linear and quadratic zeeman fields and a raman induced spinorbit coupling concentrating on the regime in which the background fields can be treated perturbatively we analytically solve the model in its lowenergy sector ie we characterize the relevant phases and the quantum phase transitions between them depending on the sign of the effective quadratic zeeman field epsilon two superfluid phases with distinct nematic order appear in addition we uncover a spindisordered superfluid phase at strong coupling we employ a combination of renormalization group calculations and duality transformations to access the nature of the phase transitions at epsilon 0 a line of spincharge separated pairs of luttinger liquids divides the two nematic phases and the transition to the spin disordered state at strong coupling is of the berezinskiikosterlitzthouless type in contrast at epsilon neq 0 the quantum critical theory separating nematic and strong coupling spin disordered phases contains a luttinger liquid in the charge sector that is coupled to a majorana fermion in the spin sector ie the critical theory at finite epsilon maps to a quantum critical ising model that is coupled to the charge luttinger liquid due to an emergent lorentz symmetry both have the same logarithmically diverging velocity we discuss the experimental signatures of our findings that are relevant to ongoing experiments in ultracold atomic gases of 23na | [['we', 'theoretically', 'study', 'an', 'ultracold', 'gas', 'of', 'spin1', 'polar', 'bosons', 'in', 'a', 'one', 'dimensional', 'continuum', 'which', 'are', 'subject', 'to', 'linear', 'and', 'quadratic', 'zeeman', 'fields', 'and', 'a', 'raman', 'induced', 'spinorbit', 'coupling', 'concentrating', 'on', 'the', 'regime', 'in', 'which', 'the', 'background', 'fields', 'can', 'be', 'treated', 'perturbatively', 'we', 'analytically', 'solve', 'the', 'model', 'in', 'its', 'lowenergy', 'sector', 'ie', 'we', 'characterize', 'the', 'relevant', 'phases', 'and', 'the', 'quantum', 'phase', 'transitions', 'between', 'them', 'depending', 'on', 'the', 'sign', 'of', 'the', 'effective', 'quadratic', 'zeeman', 'field', 'epsilon', 'two', 'superfluid', 'phases', 'with', 'distinct', 'nematic', 'order', 'appear', 'in', 'addition', 'we', 'uncover', 'a', 'spindisordered', 'superfluid', 'phase', 'at', 'strong', 'coupling', 'we', 'employ', 'a', 'combination', 'of', 'renormalization', 'group', 'calculations', 'and', 'duality', 'transformations', 'to', 'access', 'the', 'nature', 'of', 'the', 'phase', 'transitions', 'at', 'epsilon', '0', 'a', 'line', 'of', 'spincharge', 'separated', 'pairs', 'of', 'luttinger', 'liquids', 'divides', 'the', 'two', 'nematic', 'phases', 'and', 'the', 'transition', 'to', 'the', 'spin', 'disordered', 'state', 'at', 'strong', 'coupling', 'is', 'of', 'the', 'berezinskiikosterlitzthouless', 'type', 'in', 'contrast', 'at', 'epsilon', 'neq', '0', 'the', 'quantum', 'critical', 'theory', 'separating', 'nematic', 'and', 'strong', 'coupling', 'spin', 'disordered', 'phases', 'contains', 'a', 'luttinger', 'liquid', 'in', 'the', 'charge', 'sector', 'that', 'is', 'coupled', 'to', 'a', 'majorana', 'fermion', 'in', 'the', 'spin', 'sector', 'ie', 'the', 'critical', 'theory', 'at', 'finite', 'epsilon', 'maps', 'to', 'a', 'quantum', 'critical', 'ising', 'model', 'that', 'is', 'coupled', 'to', 'the', 'charge', 'luttinger', 'liquid', 'due', 'to', 'an', 'emergent', 'lorentz', 'symmetry', 'both', 'have', 'the', 'same', 'logarithmically', 'diverging', 'velocity', 'we', 'discuss', 'the', 'experimental', 'signatures', 'of', 'our', 'findings', 'that', 'are', 'relevant', 'to', 'ongoing', 'experiments', 'in', 'ultracold', 'atomic', 'gases', 'of', '23na']] | [-0.22746810679680524, 0.2751169007359936, -0.05156939936934281, 0.02858940676725606, -0.019333914597421325, -0.19968218221348635, 0.05471819786990069, 0.33148004519110197, -0.2530844087856646, -0.23280745742756825, 0.007596749086595417, -0.32489030175135086, -0.11654420964084722, 0.10031982284393863, 0.08802179122932068, 0.0200097872386102, -0.09782827499899312, -0.0033191616908027537, -0.12721874736440386, -0.21175969187433297, 0.31679650016175775, -0.04467731292571904, 0.27442997272679714, 0.08885123782253446, 0.061577031494090995, -0.02088789263093322, 0.10325294448974616, 0.011084620075136673, -0.16283719925641324, 0.01263106260234373, 0.27002892471561557, -0.08746833102115154, 0.16860847099329576, -0.43243619959380586, -0.19607570582696832, 0.08238573243868806, 0.14641953012847564, 0.16991792523270963, -0.024900530191200736, -0.313287996394739, -0.016611369113363795, -0.1646002348976124, -0.14957789897482265, -0.12434899437856942, -0.01747402795588025, -0.047736223266853575, -0.26398653461048416, 0.1022556412814791, 0.04854164268990986, 0.0789307546224355, -0.053412050001467405, -0.06653611371137794, -0.015590158079762526, 0.08274690485968562, 0.05880233888795575, 0.06932233488060549, 0.13063939965561921, -0.19383977323400453, -0.10952045944729766, 0.3726256172030007, -0.09509772868222015, -0.1384297961458782, 0.22457617508621583, -0.16913435235838736, -0.12659749658641925, 0.15901270245540902, 0.14422291653643843, 0.08622375699773306, -0.07703673410537228, 0.11741259924543312, -0.03238335120877461, 0.1844671867022127, -0.0016941019795663561, 0.060079820878866076, 0.28443088453793003, 0.13644968749074632, 0.034054877894061565, 0.13807359185784854, -0.10631317340305647, -0.14820219786783143, -0.30994021951778167, -0.15482544054512995, -0.21190655172050435, 0.02807575536630736, -0.07629763399444181, -0.15655918998222906, 0.4034138132786869, 0.1453205108319635, 0.17061496820633884, -0.04325422260493321, 0.22986172154354845, 0.11523454447197007, 0.03247050433950577, 0.022005720946657235, 0.2818530122048093, 0.1847095511421156, 0.06462903937839252, -0.3217884019566661, -0.022349052452901183, 0.0821535459848191] |
1,802.07737 | Detection significance of Baryon Acoustic Oscillations peaks in galaxy
and quasar clustering | We compare our analysis of the Baryon Acoustic Oscillations (BAO) feature in
the correlation functions of SDSS BOSS DR12 LOWZ and CMASS galaxy samples with
the findings of arXiv:1509.06371v2. Using subsets of the data we obtain an
empirical estimate of the errors on the correlation functions which are in
agreement with the simulated errors of arXiv:1509.06371v2. We find that the
significance of BAO detection is the quantity most sensitive to the choice of
the fitting range with the CMASS value decreasing from $8.0\sigma$ to
$5.3\sigma$ as the fitting range is reduced. Although our measurements of
$D_V(z)$ are in agreement with those of arXiv:1509.06371v2, we note that their
CMASS $8.0\sigma$ (LOWZ $4.0\sigma$) detection significance reduces to
$4.7\sigma$ ($2.8\sigma$) in fits with their diagonal covariance terms only. We
extend our BAO analysis to higher redshifts by fitting to the weighted mean of
2QDESp, SDSS DR5 UNIFORM, 2QZ and 2SLAQ quasar correlation functions, obtaining
a $7.6\%$ measurement compared to $3.9\%$ achieved by eBOSS DR14. Unlike for
the LRG surveys, the larger error on quasar correlation functions implies a
smaller role for nuisance parameters (accounting for scale-dependent
clustering) in providing a good fit to the fiducial $\Lambda$CDM model. Again
using only the error bars of arXiv:1705.06373v2 and ignoring any off-diagonal
covariance matrix terms, we find that the eBOSS peak significance reduces from
2.8 to $1.4\sigma$. We conclude that for both LRGs and quasars, the reported
BAO peak significances from the SDSS surveys depend sensitively on the accuracy
of the covariance matrix at large separations.
| astro-ph.CO | we compare our analysis of the baryon acoustic oscillations bao feature in the correlation functions of sdss boss dr12 lowz and cmass galaxy samples with the findings of arxiv150906371v2 using subsets of the data we obtain an empirical estimate of the errors on the correlation functions which are in agreement with the simulated errors of arxiv150906371v2 we find that the significance of bao detection is the quantity most sensitive to the choice of the fitting range with the cmass value decreasing from 80sigma to 53sigma as the fitting range is reduced although our measurements of d_vz are in agreement with those of arxiv150906371v2 we note that their cmass 80sigma lowz 40sigma detection significance reduces to 47sigma 28sigma in fits with their diagonal covariance terms only we extend our bao analysis to higher redshifts by fitting to the weighted mean of 2qdesp sdss dr5 uniform 2qz and 2slaq quasar correlation functions obtaining a 76 measurement compared to 39 achieved by eboss dr14 unlike for the lrg surveys the larger error on quasar correlation functions implies a smaller role for nuisance parameters accounting for scaledependent clustering in providing a good fit to the fiducial lambdacdm model again using only the error bars of arxiv170506373v2 and ignoring any offdiagonal covariance matrix terms we find that the eboss peak significance reduces from 28 to 14sigma we conclude that for both lrgs and quasars the reported bao peak significances from the sdss surveys depend sensitively on the accuracy of the covariance matrix at large separations | [['we', 'compare', 'our', 'analysis', 'of', 'the', 'baryon', 'acoustic', 'oscillations', 'bao', 'feature', 'in', 'the', 'correlation', 'functions', 'of', 'sdss', 'boss', 'dr12', 'lowz', 'and', 'cmass', 'galaxy', 'samples', 'with', 'the', 'findings', 'of', 'arxiv150906371v2', 'using', 'subsets', 'of', 'the', 'data', 'we', 'obtain', 'an', 'empirical', 'estimate', 'of', 'the', 'errors', 'on', 'the', 'correlation', 'functions', 'which', 'are', 'in', 'agreement', 'with', 'the', 'simulated', 'errors', 'of', 'arxiv150906371v2', 'we', 'find', 'that', 'the', 'significance', 'of', 'bao', 'detection', 'is', 'the', 'quantity', 'most', 'sensitive', 'to', 'the', 'choice', 'of', 'the', 'fitting', 'range', 'with', 'the', 'cmass', 'value', 'decreasing', 'from', '80sigma', 'to', '53sigma', 'as', 'the', 'fitting', 'range', 'is', 'reduced', 'although', 'our', 'measurements', 'of', 'd_vz', 'are', 'in', 'agreement', 'with', 'those', 'of', 'arxiv150906371v2', 'we', 'note', 'that', 'their', 'cmass', '80sigma', 'lowz', '40sigma', 'detection', 'significance', 'reduces', 'to', '47sigma', '28sigma', 'in', 'fits', 'with', 'their', 'diagonal', 'covariance', 'terms', 'only', 'we', 'extend', 'our', 'bao', 'analysis', 'to', 'higher', 'redshifts', 'by', 'fitting', 'to', 'the', 'weighted', 'mean', 'of', '2qdesp', 'sdss', 'dr5', 'uniform', '2qz', 'and', '2slaq', 'quasar', 'correlation', 'functions', 'obtaining', 'a', '76', 'measurement', 'compared', 'to', '39', 'achieved', 'by', 'eboss', 'dr14', 'unlike', 'for', 'the', 'lrg', 'surveys', 'the', 'larger', 'error', 'on', 'quasar', 'correlation', 'functions', 'implies', 'a', 'smaller', 'role', 'for', 'nuisance', 'parameters', 'accounting', 'for', 'scaledependent', 'clustering', 'in', 'providing', 'a', 'good', 'fit', 'to', 'the', 'fiducial', 'lambdacdm', 'model', 'again', 'using', 'only', 'the', 'error', 'bars', 'of', 'arxiv170506373v2', 'and', 'ignoring', 'any', 'offdiagonal', 'covariance', 'matrix', 'terms', 'we', 'find', 'that', 'the', 'eboss', 'peak', 'significance', 'reduces', 'from', '28', 'to', '14sigma', 'we', 'conclude', 'that', 'for', 'both', 'lrgs', 'and', 'quasars', 'the', 'reported', 'bao', 'peak', 'significances', 'from', 'the', 'sdss', 'surveys', 'depend', 'sensitively', 'on', 'the', 'accuracy', 'of', 'the', 'covariance', 'matrix', 'at', 'large', 'separations']] | [-0.027340085948836135, 0.02569819225825184, -0.03758027937719561, 0.12031705846662173, -0.09171690832053023, -0.052228797344962156, 0.06142641340539488, 0.3709570987233761, -0.12581459169456527, -0.3347155227630687, 0.04216198122547753, -0.3952785788186224, -0.035478668051994365, 0.22809387227785904, 0.0031809968358171305, 0.025238079116604924, 0.06872663818613951, -0.09094238448065207, -0.10633529002785713, -0.3038148000522191, 0.29106339063480435, 0.11412455891464729, 0.29280553117252317, -0.06618038423772692, 0.08177952434779724, -0.018535039244622555, -0.16114419616429682, 0.027704170607703638, -0.1713968718388907, 0.06214277952606509, 0.2399419940966948, 0.1433964699289825, 0.22729367590565458, -0.2470067305467933, -0.15938906609146186, 0.14456157461107974, 0.18578815494241366, 0.13130628762403915, -0.013945675047813919, -0.2979864425373724, 0.09822881047288518, -0.15038984335199687, -0.0918600885478039, -0.015164697511929524, -0.025967932549346404, 0.05264244710182188, -0.2724482705615588, 0.2585993602191169, -0.02428660688203681, 0.08293463667690096, -0.09179163272174666, -0.18658751003391832, -0.059735714830084136, 0.0692554896802129, 0.0032910616123061403, 0.06885899455065887, 0.14144248448791036, -0.12312569048435214, -0.019830425716861784, 0.3824699509170759, -0.09866278729472594, -0.09204806691717289, 0.09767639596972719, -0.19117393518562417, -0.15666256655927702, 0.06889234817620501, 0.16466877581626477, 0.010787371637666202, -0.13087187771008435, 0.034755929684580626, -0.0038394046308945894, 0.27426555715912737, 0.032438042750357686, 0.04485292105148191, 0.18739466615447617, 0.08670820608589215, 0.0653505901129071, 0.04601170087137809, -0.19942502904006365, 0.033702297223148395, -0.3077408836922612, -0.033966174416513326, -0.18799091877984295, 0.048190924512450564, -0.18602517935756901, -0.15812261099272584, 0.3987300257426668, 0.17862898696692714, 0.26973560756543674, 0.1581029604982966, 0.28813239154836023, 0.07957226566336376, 0.11259677923138602, 0.015565318179814273, 0.3174252166566121, 0.14322855279979158, 0.052743432921802544, -0.21312196224826915, 0.060776189038339236, -0.007130003878009884] |
1,802.07738 | The Impact of Microlensing on the Standardisation of Strongly Lensed
Type Ia Supernovae | We investigate the effect of microlensing on the standardisation of strongly
lensed Type Ia supernovae (GLSNe Ia). We present predictions for the amount of
scatter induced by microlensing across a range of plausible strong lens
macromodels. We find that lensed images in regions of low convergence, shear
and stellar density are standardisable, where the microlensing scatter is <
0.15 magnitudes, comparable to the intrinsic dispersion of for a typical SN Ia.
These standardisable configurations correspond to asymmetric lenses with an
image located far outside the Einstein radius of the lens. Symmetric and small
Einstein radius lenses (< 0.5 arcsec) are not standardisable. We apply our
model to the recently discovered GLSN Ia iPTF16geu and find that the large
discrepancy between the observed flux and the macromodel predictions from More
et al. (2017) cannot be explained by microlensing alone. Using the mock GLSNe
Ia catalogue of Goldstein et al. (2017), we predict that ~ 22% of GLSNe Ia
discovered by LSST will be standardisable, with a median Einstein radius of 0.9
arcseconds and a median time-delay of 41 days. By breaking the mass-sheet
degeneracy the full LSST GLSNe Ia sample will be able to detect systematics in
H0 at the 0.5% level.
| astro-ph.CO astro-ph.GA | we investigate the effect of microlensing on the standardisation of strongly lensed type ia supernovae glsne ia we present predictions for the amount of scatter induced by microlensing across a range of plausible strong lens macromodels we find that lensed images in regions of low convergence shear and stellar density are standardisable where the microlensing scatter is 015 magnitudes comparable to the intrinsic dispersion of for a typical sn ia these standardisable configurations correspond to asymmetric lenses with an image located far outside the einstein radius of the lens symmetric and small einstein radius lenses 05 arcsec are not standardisable we apply our model to the recently discovered glsn ia iptf16geu and find that the large discrepancy between the observed flux and the macromodel predictions from more et al 2017 cannot be explained by microlensing alone using the mock glsne ia catalogue of goldstein et al 2017 we predict that 22 of glsne ia discovered by lsst will be standardisable with a median einstein radius of 09 arcseconds and a median timedelay of 41 days by breaking the masssheet degeneracy the full lsst glsne ia sample will be able to detect systematics in h0 at the 05 level | [['we', 'investigate', 'the', 'effect', 'of', 'microlensing', 'on', 'the', 'standardisation', 'of', 'strongly', 'lensed', 'type', 'ia', 'supernovae', 'glsne', 'ia', 'we', 'present', 'predictions', 'for', 'the', 'amount', 'of', 'scatter', 'induced', 'by', 'microlensing', 'across', 'a', 'range', 'of', 'plausible', 'strong', 'lens', 'macromodels', 'we', 'find', 'that', 'lensed', 'images', 'in', 'regions', 'of', 'low', 'convergence', 'shear', 'and', 'stellar', 'density', 'are', 'standardisable', 'where', 'the', 'microlensing', 'scatter', 'is', '015', 'magnitudes', 'comparable', 'to', 'the', 'intrinsic', 'dispersion', 'of', 'for', 'a', 'typical', 'sn', 'ia', 'these', 'standardisable', 'configurations', 'correspond', 'to', 'asymmetric', 'lenses', 'with', 'an', 'image', 'located', 'far', 'outside', 'the', 'einstein', 'radius', 'of', 'the', 'lens', 'symmetric', 'and', 'small', 'einstein', 'radius', 'lenses', '05', 'arcsec', 'are', 'not', 'standardisable', 'we', 'apply', 'our', 'model', 'to', 'the', 'recently', 'discovered', 'glsn', 'ia', 'iptf16geu', 'and', 'find', 'that', 'the', 'large', 'discrepancy', 'between', 'the', 'observed', 'flux', 'and', 'the', 'macromodel', 'predictions', 'from', 'more', 'et', 'al', '2017', 'can', 'not', 'be', 'explained', 'by', 'microlensing', 'alone', 'using', 'the', 'mock', 'glsne', 'ia', 'catalogue', 'of', 'goldstein', 'et', 'al', '2017', 'we', 'predict', 'that', '22', 'of', 'glsne', 'ia', 'discovered', 'by', 'lsst', 'will', 'be', 'standardisable', 'with', 'a', 'median', 'einstein', 'radius', 'of', '09', 'arcseconds', 'and', 'a', 'median', 'timedelay', 'of', '41', 'days', 'by', 'breaking', 'the', 'masssheet', 'degeneracy', 'the', 'full', 'lsst', 'glsne', 'ia', 'sample', 'will', 'be', 'able', 'to', 'detect', 'systematics', 'in', 'h0', 'at', 'the', '05', 'level']] | [-0.05746649630968059, 0.06351109149442771, -0.04835497391894648, 0.11399708101302479, -0.12985604292256853, -0.08454247965357464, 0.02533541239840402, 0.3805597455739373, -0.17501676250531367, -0.3731105455568982, 0.04103078737189391, -0.3231267413463105, -0.07888364323974596, 0.21266869948400804, -0.08890770850448095, -0.013709401213234723, 0.07979681882378174, -0.1241686654799251, -0.10160161844343214, -0.339123393585341, 0.2817961227035884, 0.09324971532373867, 0.2089571922481286, -0.05903796087291957, 0.07177241811131344, -0.06582039510631332, -0.0773294099695943, 0.05938163715781587, -0.20023826792811347, 0.021202000223730474, 0.20331073714998749, 0.15168124067154948, 0.17736832664649219, -0.28664418034745126, -0.21214341384833774, 0.12731933780955246, 0.16430951897266574, 0.0998599850566766, -0.035792955629909154, -0.3364982450136332, 0.10491939123973927, -0.17351467949291222, -0.14959389589858627, 0.061930443381307404, 0.05190434444970875, 0.05850456254274556, -0.22359703919577478, 0.1853069237461596, -0.0008653784323615408, 0.06834294015748633, -0.04085108437669473, -0.0916165744137922, -0.043010703963874325, 0.021032920669331545, -0.024052548882518565, 0.06447857085246748, 0.07456570094912265, -0.09269309244906491, -0.00034188337958032135, 0.4117269154656867, -0.06104895621632235, -0.02011338909711651, 0.1445873762219862, -0.18185731888080786, -0.11490291493681419, 0.12652355432980741, 0.19262939395213668, 0.07355168453921009, -0.15821999975837617, 0.0037559529164079295, 0.0032939360808637557, 0.23384660018127026, 0.0709866847974634, 0.032958623478095035, 0.31699833547404843, 0.10348387279152645, 0.038335711260166286, 0.024279273912422166, -0.2629963825045229, 0.03215299881442046, -0.28769626060143266, -0.05164320116646287, -0.1463764464162817, 0.1217342893020638, -0.14333583097021516, -0.11746100960237638, 0.30036368574994154, 0.13248896045666753, 0.22314101187547555, 0.056337080931031104, 0.23808673697975324, 0.04906628756710996, 0.12913015946708242, 0.0534653221739155, 0.40440779231309965, 0.14359731132968923, 0.06927353817489788, -0.21770567704824675, 0.032915956399525804, 0.006565918519180456] |
1,802.07739 | Supersymmetric Flaxion | Recently, a new minimal extension of the Standard Model has been proposed,
where a spontaneously broken, flavor-dependent global U(1) symmetry is
introduced. It not only explains the hierarchical flavor structure in the quark
and lepton sector, but also solves the strong CP problem by identifying the
Nambu-Goldstone boson as the QCD axion, which we call flaxion. In this work, we
consider supersymmetric extensions of the flaxion scenario. We study the CP and
flavor violations due to supersymmetric particles, the effects of R-parity
violations, the cosmological gravitino and axino problems, and the cosmological
evolution of the scalar partner of the flaxion, sflaxion. We also propose an
attractor-like inflationary model where the flaxion multiplet contains the
inflaton field, and show that a consistent cosmological scenario can be
obtained, including inflation, leptogenesis, and dark matter.
| hep-ph | recently a new minimal extension of the standard model has been proposed where a spontaneously broken flavordependent global u1 symmetry is introduced it not only explains the hierarchical flavor structure in the quark and lepton sector but also solves the strong cp problem by identifying the nambugoldstone boson as the qcd axion which we call flaxion in this work we consider supersymmetric extensions of the flaxion scenario we study the cp and flavor violations due to supersymmetric particles the effects of rparity violations the cosmological gravitino and axino problems and the cosmological evolution of the scalar partner of the flaxion sflaxion we also propose an attractorlike inflationary model where the flaxion multiplet contains the inflaton field and show that a consistent cosmological scenario can be obtained including inflation leptogenesis and dark matter | [['recently', 'a', 'new', 'minimal', 'extension', 'of', 'the', 'standard', 'model', 'has', 'been', 'proposed', 'where', 'a', 'spontaneously', 'broken', 'flavordependent', 'global', 'u1', 'symmetry', 'is', 'introduced', 'it', 'not', 'only', 'explains', 'the', 'hierarchical', 'flavor', 'structure', 'in', 'the', 'quark', 'and', 'lepton', 'sector', 'but', 'also', 'solves', 'the', 'strong', 'cp', 'problem', 'by', 'identifying', 'the', 'nambugoldstone', 'boson', 'as', 'the', 'qcd', 'axion', 'which', 'we', 'call', 'flaxion', 'in', 'this', 'work', 'we', 'consider', 'supersymmetric', 'extensions', 'of', 'the', 'flaxion', 'scenario', 'we', 'study', 'the', 'cp', 'and', 'flavor', 'violations', 'due', 'to', 'supersymmetric', 'particles', 'the', 'effects', 'of', 'rparity', 'violations', 'the', 'cosmological', 'gravitino', 'and', 'axino', 'problems', 'and', 'the', 'cosmological', 'evolution', 'of', 'the', 'scalar', 'partner', 'of', 'the', 'flaxion', 'sflaxion', 'we', 'also', 'propose', 'an', 'attractorlike', 'inflationary', 'model', 'where', 'the', 'flaxion', 'multiplet', 'contains', 'the', 'inflaton', 'field', 'and', 'show', 'that', 'a', 'consistent', 'cosmological', 'scenario', 'can', 'be', 'obtained', 'including', 'inflation', 'leptogenesis', 'and', 'dark', 'matter']] | [-0.13429656184548583, 0.22564782364214397, -0.06581192855716093, 0.17719802775114546, -0.13860594154911415, -0.17453597422035141, -0.0017190180124714081, 0.26742751484395555, -0.217526595502779, -0.2906346891940934, 0.07235283517449355, -0.2149401127310996, -0.09897286503198947, 0.04964549445817318, -0.01033793418056808, 0.05287148636403202, -0.0010622850839645808, 0.005983802397515028, -0.030351498089588553, -0.24321043874112222, 0.30563827625027934, 0.01761143212384395, 0.19572652370903557, 0.07352595752147773, 0.09462648035002204, -0.0394425532595745, -0.01147517814293845, -0.04277032927986775, -0.10943290068376285, 0.039665351443184636, 0.1109448604597639, 0.1320443705616533, 0.12116534486484096, -0.38113651721105546, -0.24113113512569426, 0.24647861841411992, 0.16971002960975728, 0.15323768388248896, -0.1099537325283612, -0.3314998288219439, 0.07915946813691266, -0.24349249906496692, -0.0951871664817836, -0.08594447608063183, -0.0714148408502255, -0.16628766067873488, -0.32895193961564495, 0.12093655875273483, -0.039860610260080746, -0.03603986474393888, -0.01710774137226168, -0.09131921592829678, -0.05141887235817791, -0.05441526618594204, 0.22698214212130358, 0.005074877027983827, 0.13260372053167094, -0.2163817869027888, -0.1597158998217192, 0.4934077820250096, -0.11234664206058924, -0.16371974277928586, 0.09464053369575103, -0.10985256537647548, -0.2322156751627913, 0.03760087672791636, 0.1333233877600576, 0.0871811406047062, -0.1616832576021161, 0.2521900945096028, -0.10182042104611529, 0.16024591513191358, 0.047696836079463706, 0.03172619283983114, 0.3134064791965803, 0.17773651242796473, 0.05869323505756964, 0.08310472862421756, -0.014761298319470593, -0.11968593378302478, -0.4321226526028654, -0.12680761689561923, -0.09238634953801414, 0.0241942777466571, -0.09115480983701804, -0.10925933033697137, 0.4514784358747531, 0.13019336712767035, 0.19569191258073648, 0.022715878691559815, 0.24560013269465275, 0.06772196719348289, 0.0755271088204303, 0.04939149099914002, 0.29541554494284605, 0.13625801942144158, 0.13839338997464257, -0.29464124061366304, -0.06450011456413692, 0.07854301105599978] |
1,802.0774 | Machine Theory of Mind | Theory of mind (ToM; Premack & Woodruff, 1978) broadly refers to humans'
ability to represent the mental states of others, including their desires,
beliefs, and intentions. We propose to train a machine to build such models
too. We design a Theory of Mind neural network -- a ToMnet -- which uses
meta-learning to build models of the agents it encounters, from observations of
their behaviour alone. Through this process, it acquires a strong prior model
for agents' behaviour, as well as the ability to bootstrap to richer
predictions about agents' characteristics and mental states using only a small
number of behavioural observations. We apply the ToMnet to agents behaving in
simple gridworld environments, showing that it learns to model random,
algorithmic, and deep reinforcement learning agents from varied populations,
and that it passes classic ToM tasks such as the "Sally-Anne" test (Wimmer &
Perner, 1983; Baron-Cohen et al., 1985) of recognising that others can hold
false beliefs about the world. We argue that this system -- which autonomously
learns how to model other agents in its world -- is an important step forward
for developing multi-agent AI systems, for building intermediating technology
for machine-human interaction, and for advancing the progress on interpretable
AI.
| cs.AI | theory of mind tom premack woodruff 1978 broadly refers to humans ability to represent the mental states of others including their desires beliefs and intentions we propose to train a machine to build such models too we design a theory of mind neural network a tomnet which uses metalearning to build models of the agents it encounters from observations of their behaviour alone through this process it acquires a strong prior model for agents behaviour as well as the ability to bootstrap to richer predictions about agents characteristics and mental states using only a small number of behavioural observations we apply the tomnet to agents behaving in simple gridworld environments showing that it learns to model random algorithmic and deep reinforcement learning agents from varied populations and that it passes classic tom tasks such as the sallyanne test wimmer perner 1983 baroncohen et al 1985 of recognising that others can hold false beliefs about the world we argue that this system which autonomously learns how to model other agents in its world is an important step forward for developing multiagent ai systems for building intermediating technology for machinehuman interaction and for advancing the progress on interpretable ai | [['theory', 'of', 'mind', 'tom', 'premack', 'woodruff', '1978', 'broadly', 'refers', 'to', 'humans', 'ability', 'to', 'represent', 'the', 'mental', 'states', 'of', 'others', 'including', 'their', 'desires', 'beliefs', 'and', 'intentions', 'we', 'propose', 'to', 'train', 'a', 'machine', 'to', 'build', 'such', 'models', 'too', 'we', 'design', 'a', 'theory', 'of', 'mind', 'neural', 'network', 'a', 'tomnet', 'which', 'uses', 'metalearning', 'to', 'build', 'models', 'of', 'the', 'agents', 'it', 'encounters', 'from', 'observations', 'of', 'their', 'behaviour', 'alone', 'through', 'this', 'process', 'it', 'acquires', 'a', 'strong', 'prior', 'model', 'for', 'agents', 'behaviour', 'as', 'well', 'as', 'the', 'ability', 'to', 'bootstrap', 'to', 'richer', 'predictions', 'about', 'agents', 'characteristics', 'and', 'mental', 'states', 'using', 'only', 'a', 'small', 'number', 'of', 'behavioural', 'observations', 'we', 'apply', 'the', 'tomnet', 'to', 'agents', 'behaving', 'in', 'simple', 'gridworld', 'environments', 'showing', 'that', 'it', 'learns', 'to', 'model', 'random', 'algorithmic', 'and', 'deep', 'reinforcement', 'learning', 'agents', 'from', 'varied', 'populations', 'and', 'that', 'it', 'passes', 'classic', 'tom', 'tasks', 'such', 'as', 'the', 'sallyanne', 'test', 'wimmer', 'perner', '1983', 'baroncohen', 'et', 'al', '1985', 'of', 'recognising', 'that', 'others', 'can', 'hold', 'false', 'beliefs', 'about', 'the', 'world', 'we', 'argue', 'that', 'this', 'system', 'which', 'autonomously', 'learns', 'how', 'to', 'model', 'other', 'agents', 'in', 'its', 'world', 'is', 'an', 'important', 'step', 'forward', 'for', 'developing', 'multiagent', 'ai', 'systems', 'for', 'building', 'intermediating', 'technology', 'for', 'machinehuman', 'interaction', 'and', 'for', 'advancing', 'the', 'progress', 'on', 'interpretable', 'ai']] | [-0.04275697421335611, 0.0673096057847462, -0.11988123419931052, 0.09008467200891257, -0.16291244528642398, -0.19564704743691677, 0.08146507319737313, 0.4209526717238167, -0.2679878482450321, -0.34344904142832433, 0.03399159766400686, -0.2564691612448717, -0.23034177525716934, 0.1477501424852218, -0.15169003523326446, 0.04831067919734156, 0.06540523814954288, 0.03692153124790156, 0.058932588385041666, -0.2830101197116183, 0.27059986230261607, 0.051699143285360044, 0.26075139723916013, -0.032818787535797284, 0.1371194304900794, 0.02545740401222723, 0.023083896461242107, -0.01010433333163473, -0.061322624780813115, 0.15984394109018185, 0.342451388601021, 0.24469249641252536, 0.3543700945027983, -0.4430677665619498, -0.21515533822308744, 0.09424420919057001, 0.1101050411068733, 0.1236577636159358, 0.01513561636023706, -0.35648986060230226, 0.05016360553391664, -0.20127248259290204, -0.11285644843981364, -0.12539912313898455, 0.0413379788210548, -0.008539598277429785, -0.26754669746543264, -0.00524839905266761, 0.0953789505162976, 0.05086925526636947, -0.049154280123320154, -0.08775677812741732, 0.006709035108387084, 0.21029542374950616, 0.046181028735205056, 0.03549075907535388, 0.16724652475122498, -0.19846571643880226, -0.17516165822406585, 0.34537092573853895, -0.009298954244674102, -0.14008151877000735, 0.2669576182711141, -0.042254984138745795, -0.16164852962515514, 0.02344422917957828, 0.22471134642312796, 0.087954612843749, -0.1311137360723332, 0.020050041810331935, -0.047541578951740514, 0.17156167923644128, 0.029815488811003266, -0.0458571839127014, 0.19685210190578292, 0.20017752759255122, 0.034469664555858495, 0.06282925144003203, -0.0006356492440742224, -0.14825438477317296, -0.20542098981222148, -0.12791841825632586, -0.14930687762237121, 0.054139816581025485, -0.04219854894355651, -0.15046415030184188, 0.34519963920685837, 0.24661477889450642, 0.20341896453698605, 0.11829894193667687, 0.28346078443326483, 0.022833935358474715, 0.05420365503993985, 0.08946194112846155, 0.19417650896303085, 0.06348331048939898, 0.13969385285181393, -0.15366946702094392, 0.13557942073377224, 0.009070887966226265] |
1,802.07741 | Extended Reduced-Form Framework for Non-Life Insurance | In this paper we propose a general framework for modeling an insurance
liability cash flow in continuous time, by generalizing the reduced-form
framework for credit risk and life insurance. In particular, we assume a
nontrivial dependence structure between the reference filtration and the
insurance internal filtration. We apply these results for pricing and hedging
non-life insurance liabilities in hybrid financial and insurance markets, while
taking into account the role of inflation under the benchmarked
risk-minimization approach. This framework offers at the same time a general
and flexible structure, and an explicit and treatable pricing-hedging formula.
| q-fin.MF | in this paper we propose a general framework for modeling an insurance liability cash flow in continuous time by generalizing the reducedform framework for credit risk and life insurance in particular we assume a nontrivial dependence structure between the reference filtration and the insurance internal filtration we apply these results for pricing and hedging nonlife insurance liabilities in hybrid financial and insurance markets while taking into account the role of inflation under the benchmarked riskminimization approach this framework offers at the same time a general and flexible structure and an explicit and treatable pricinghedging formula | [['in', 'this', 'paper', 'we', 'propose', 'a', 'general', 'framework', 'for', 'modeling', 'an', 'insurance', 'liability', 'cash', 'flow', 'in', 'continuous', 'time', 'by', 'generalizing', 'the', 'reducedform', 'framework', 'for', 'credit', 'risk', 'and', 'life', 'insurance', 'in', 'particular', 'we', 'assume', 'a', 'nontrivial', 'dependence', 'structure', 'between', 'the', 'reference', 'filtration', 'and', 'the', 'insurance', 'internal', 'filtration', 'we', 'apply', 'these', 'results', 'for', 'pricing', 'and', 'hedging', 'nonlife', 'insurance', 'liabilities', 'in', 'hybrid', 'financial', 'and', 'insurance', 'markets', 'while', 'taking', 'into', 'account', 'the', 'role', 'of', 'inflation', 'under', 'the', 'benchmarked', 'riskminimization', 'approach', 'this', 'framework', 'offers', 'at', 'the', 'same', 'time', 'a', 'general', 'and', 'flexible', 'structure', 'and', 'an', 'explicit', 'and', 'treatable', 'pricinghedging', 'formula']] | [-0.05697554295735532, 0.003732630373040018, -0.12997931863646955, 0.13571968133175305, -0.09437754730644979, -0.1057922249512845, 0.09043613424353106, 0.40754344800585196, -0.27408636310382894, -0.21555145712765425, 0.1496135522660456, -0.22402308912163502, -0.1635280780886349, 0.17264168486489276, -0.17702044310342324, 0.030316167064991437, 0.010945609354070927, -0.03787269454057279, 0.06748563347776469, -0.24058773769555908, 0.28999742832230896, 0.0674283022796245, 0.33181590721207227, 0.08497203026444798, 0.13432885082928758, 0.05947016465698222, -0.04528782671366475, -0.0029195799247214668, -0.16797661343589426, 0.1669523114730653, 0.31659052033271445, 0.11346389907167147, 0.41099500401729816, -0.4736678483454805, -0.18743468452441064, 0.1465579892018516, -0.008500185642869359, 0.06045434459014551, -0.03692834815500598, -0.2824259934064589, -0.03185612125028121, -0.3285258664406444, -0.09967591212939864, -0.1247600399692984, 0.018695851023259914, -0.039122953408667324, -0.34470392553699447, 0.07136257892278464, 0.04600733925931548, 0.05719396428750387, -0.13610451218525046, -0.09679619911077776, -0.027671107559121753, 0.13281196321997987, 0.15483853237605408, -0.10116834852746442, 0.11275929379472999, -0.09673860720113704, -0.1732079315734537, 0.39155295186332967, -0.09488592432125618, -0.18817034465701957, 0.04302299203057038, -0.08863647484073514, -0.18533099147393123, 0.05802367361213424, 0.21271192153033458, 0.06108206290947764, -0.21077178897654736, 0.10260458884233804, -0.012431605453112799, 0.06903694631825937, 0.07718092099224266, -0.03614376983544054, 0.1509734168464906, 0.2134481754521594, 0.09502645565294905, 0.13724075795249327, -0.009115946787948671, -0.19663373808327475, -0.32611420493769017, -0.20402368085801995, -0.07971466342967591, 0.0397784244538726, -0.14490830993270623, -0.15605318107103047, 0.40382161524735, 0.16689658295363188, 0.09210831255799061, 0.1437383830253231, 0.32117049680336524, 0.14309072316085036, -0.03741756084522135, 0.10950964581662495, 0.10734387273213973, 9.91527677366608e-05, 0.13265865886534908, -0.15532687024556494, 0.184569122669238, 0.010119137658100378] |
1,802.07742 | A matrix model for the latitude Wilson loop in ABJM theory | In ABJ(M) theory, we propose a matrix model for the exact evaluation of BPS
Wilson loops on a latitude circular contour, so providing a new weak-strong
interpolation tool. Intriguingly, the matrix model turns out to be a particular
case of that computing torus knot invariants in $U(N_1|N_2)$ Chern-Simons
theory. At weak coupling we check our proposal against a three-loop
computation, performed for generic framing, winding number and representation.
The matrix model is amenable of a Fermi gas formulation, which we use to
systematically compute the strong coupling and genus expansions. For the
fermionic Wilson loop the leading planar behavior agrees with a previous string
theory prediction. For the bosonic operator our result provides a clue for
finding the corresponding string dual configuration. Our matrix model is
consistent with recent proposals for computing Bremsstrahlung functions exactly
in terms of latitude Wilson loops. As a by-product, we extend the conjecture
for the exact $B^{\theta}_{1/6}$ Bremsstrahlung function to generic
representations and test it with a four-loop perturbative computation. Finally,
we propose an exact prediction for $B_{1/2}$ at unequal gauge group ranks.
| hep-th | in abjm theory we propose a matrix model for the exact evaluation of bps wilson loops on a latitude circular contour so providing a new weakstrong interpolation tool intriguingly the matrix model turns out to be a particular case of that computing torus knot invariants in un_1n_2 chernsimons theory at weak coupling we check our proposal against a threeloop computation performed for generic framing winding number and representation the matrix model is amenable of a fermi gas formulation which we use to systematically compute the strong coupling and genus expansions for the fermionic wilson loop the leading planar behavior agrees with a previous string theory prediction for the bosonic operator our result provides a clue for finding the corresponding string dual configuration our matrix model is consistent with recent proposals for computing bremsstrahlung functions exactly in terms of latitude wilson loops as a byproduct we extend the conjecture for the exact btheta_16 bremsstrahlung function to generic representations and test it with a fourloop perturbative computation finally we propose an exact prediction for b_12 at unequal gauge group ranks | [['in', 'abjm', 'theory', 'we', 'propose', 'a', 'matrix', 'model', 'for', 'the', 'exact', 'evaluation', 'of', 'bps', 'wilson', 'loops', 'on', 'a', 'latitude', 'circular', 'contour', 'so', 'providing', 'a', 'new', 'weakstrong', 'interpolation', 'tool', 'intriguingly', 'the', 'matrix', 'model', 'turns', 'out', 'to', 'be', 'a', 'particular', 'case', 'of', 'that', 'computing', 'torus', 'knot', 'invariants', 'in', 'un_1n_2', 'chernsimons', 'theory', 'at', 'weak', 'coupling', 'we', 'check', 'our', 'proposal', 'against', 'a', 'threeloop', 'computation', 'performed', 'for', 'generic', 'framing', 'winding', 'number', 'and', 'representation', 'the', 'matrix', 'model', 'is', 'amenable', 'of', 'a', 'fermi', 'gas', 'formulation', 'which', 'we', 'use', 'to', 'systematically', 'compute', 'the', 'strong', 'coupling', 'and', 'genus', 'expansions', 'for', 'the', 'fermionic', 'wilson', 'loop', 'the', 'leading', 'planar', 'behavior', 'agrees', 'with', 'a', 'previous', 'string', 'theory', 'prediction', 'for', 'the', 'bosonic', 'operator', 'our', 'result', 'provides', 'a', 'clue', 'for', 'finding', 'the', 'corresponding', 'string', 'dual', 'configuration', 'our', 'matrix', 'model', 'is', 'consistent', 'with', 'recent', 'proposals', 'for', 'computing', 'bremsstrahlung', 'functions', 'exactly', 'in', 'terms', 'of', 'latitude', 'wilson', 'loops', 'as', 'a', 'byproduct', 'we', 'extend', 'the', 'conjecture', 'for', 'the', 'exact', 'btheta_16', 'bremsstrahlung', 'function', 'to', 'generic', 'representations', 'and', 'test', 'it', 'with', 'a', 'fourloop', 'perturbative', 'computation', 'finally', 'we', 'propose', 'an', 'exact', 'prediction', 'for', 'b_12', 'at', 'unequal', 'gauge', 'group', 'ranks']] | [-0.13612776604319243, 0.10433255374902863, -0.08414780156750043, 0.11032524847657035, -0.06684043443377662, -0.1628896890176555, 0.06265660523144939, 0.3423105100601238, -0.17575141654933912, -0.26960186861813235, 0.05002577296171422, -0.2630028027322901, -0.170668211192061, 0.16750374623004735, -0.013532219234640883, 0.0789261941803293, 0.05279532346432492, 0.04611196080591046, -0.10869603648013566, -0.2252559909211619, 0.29403952495878993, 0.05849212465418429, 0.24771432836913626, 0.1002672830001993, 0.08219361397579818, 0.01705806826683298, -0.02172300914870733, -0.003117772829482111, -0.10115527563043876, 0.13308138983247875, 0.22716142088806224, 0.04381058742371151, 0.14180197842329698, -0.3958481820247604, -0.17100986791643089, 0.06068978652010782, 0.16181535697621058, 0.13364011005795756, -0.014542450120088533, -0.24382854417087457, 0.04738535472628592, -0.22271633580179706, -0.19391293265780507, -0.134572910092308, 0.013029630272254601, -0.11243180683708755, -0.3145591296626539, 0.038305282453338134, -0.02102950502859197, 0.04275002032728855, -0.020608804828952998, -0.08839066942895915, 0.020968399238167595, 0.10784040117573182, 0.07042856643760398, 0.09800512122653299, 0.09261819620756169, -0.16596846277746607, -0.1575241704368806, 0.3523531820767133, -0.08584793272071733, -0.21639832470297687, 0.13672868515059647, -0.12667361786852113, -0.20917217844392116, 0.09955915031889039, 0.09429008046975412, 0.14555867809008433, -0.08695425482672024, 0.1581904205541642, -0.11268910306826824, 0.11924399790882875, 0.06340459579507172, -0.018538205627888694, 0.2394154051708131, 0.09258592331461019, 0.040316728796115364, 0.17569254280533642, -0.043206632549027346, -0.12282499397768097, -0.36999571016110944, -0.14469036305294303, -0.1376579639878082, 0.058343343255846725, -0.14256168822180756, -0.226599155305648, 0.3964361051692085, 0.14423821836915182, 0.19807764928324917, 0.15831860120583846, 0.27650070699763163, 0.1426436529313293, 0.0648363211657852, 0.09404661419859293, 0.18745571567175784, 0.17616279753803743, 0.03217026562361562, -0.2399372750114502, -0.043886550831724234, 0.2198921676730411] |
1,802.07743 | Broad absorption line symbiotic stars: highly ionized species in the
fast outflow from MWC 560 | In symbiotic binaries, jets and disk winds may be integral to the physics of
accretion onto white dwarfs from cool giants. The persistent outflow from
symbiotic star MWC 560 (=V694 Mon) is known to manifest as broad absorption
lines (BALs), most prominently at the Balmer transitions. We report the
detection of high-ionization BALs from C IV, Si IV, N V, and He II in
International Ultraviolet Explorer spectra obtained on 1990 April 29-30, when
an optical outburst temporarily erased the obscuring 'iron curtain' of
absorption troughs from Fe II and similar ions. The C IV and Si IV BALs reached
maximum radial velocities at least 1000 km/s higher than contemporaneous Mg II
and He II BALs; the same behaviors occur in the winds of quasars and
cataclysmic variables. An iron curtain lifts to unveil high-ionization BALs
during the P Cygni phase observed in some novae, suggesting by analogy a
temporary switch in MWC 560 from persistent outflow to discrete mass ejection.
At least three more symbiotic stars exhibit broad absorption with blue edges
faster than 1500 km/s; high-ionization BALs have been reported in AS 304
(=V4018 Sgr), while transient Balmer BALs have been reported in Z And and CH
Cyg. These BAL-producing fast outflows can have wider opening angles than has
been previously supposed. BAL symbiotics are short-timescale laboratories for
their giga-scale analogs, broad absorption line quasars (BALQSOs), which
display a similarly wide range of ionization states in their winds.
| astro-ph.HE astro-ph.GA astro-ph.SR | in symbiotic binaries jets and disk winds may be integral to the physics of accretion onto white dwarfs from cool giants the persistent outflow from symbiotic star mwc 560 v694 mon is known to manifest as broad absorption lines bals most prominently at the balmer transitions we report the detection of highionization bals from c iv si iv n v and he ii in international ultraviolet explorer spectra obtained on 1990 april 2930 when an optical outburst temporarily erased the obscuring iron curtain of absorption troughs from fe ii and similar ions the c iv and si iv bals reached maximum radial velocities at least 1000 kms higher than contemporaneous mg ii and he ii bals the same behaviors occur in the winds of quasars and cataclysmic variables an iron curtain lifts to unveil highionization bals during the p cygni phase observed in some novae suggesting by analogy a temporary switch in mwc 560 from persistent outflow to discrete mass ejection at least three more symbiotic stars exhibit broad absorption with blue edges faster than 1500 kms highionization bals have been reported in as 304 v4018 sgr while transient balmer bals have been reported in z and and ch cyg these balproducing fast outflows can have wider opening angles than has been previously supposed bal symbiotics are shorttimescale laboratories for their gigascale analogs broad absorption line quasars balqsos which display a similarly wide range of ionization states in their winds | [['in', 'symbiotic', 'binaries', 'jets', 'and', 'disk', 'winds', 'may', 'be', 'integral', 'to', 'the', 'physics', 'of', 'accretion', 'onto', 'white', 'dwarfs', 'from', 'cool', 'giants', 'the', 'persistent', 'outflow', 'from', 'symbiotic', 'star', 'mwc', '560', 'v694', 'mon', 'is', 'known', 'to', 'manifest', 'as', 'broad', 'absorption', 'lines', 'bals', 'most', 'prominently', 'at', 'the', 'balmer', 'transitions', 'we', 'report', 'the', 'detection', 'of', 'highionization', 'bals', 'from', 'c', 'iv', 'si', 'iv', 'n', 'v', 'and', 'he', 'ii', 'in', 'international', 'ultraviolet', 'explorer', 'spectra', 'obtained', 'on', '1990', 'april', '2930', 'when', 'an', 'optical', 'outburst', 'temporarily', 'erased', 'the', 'obscuring', 'iron', 'curtain', 'of', 'absorption', 'troughs', 'from', 'fe', 'ii', 'and', 'similar', 'ions', 'the', 'c', 'iv', 'and', 'si', 'iv', 'bals', 'reached', 'maximum', 'radial', 'velocities', 'at', 'least', '1000', 'kms', 'higher', 'than', 'contemporaneous', 'mg', 'ii', 'and', 'he', 'ii', 'bals', 'the', 'same', 'behaviors', 'occur', 'in', 'the', 'winds', 'of', 'quasars', 'and', 'cataclysmic', 'variables', 'an', 'iron', 'curtain', 'lifts', 'to', 'unveil', 'highionization', 'bals', 'during', 'the', 'p', 'cygni', 'phase', 'observed', 'in', 'some', 'novae', 'suggesting', 'by', 'analogy', 'a', 'temporary', 'switch', 'in', 'mwc', '560', 'from', 'persistent', 'outflow', 'to', 'discrete', 'mass', 'ejection', 'at', 'least', 'three', 'more', 'symbiotic', 'stars', 'exhibit', 'broad', 'absorption', 'with', 'blue', 'edges', 'faster', 'than', '1500', 'kms', 'highionization', 'bals', 'have', 'been', 'reported', 'in', 'as', '304', 'v4018', 'sgr', 'while', 'transient', 'balmer', 'bals', 'have', 'been', 'reported', 'in', 'z', 'and', 'and', 'ch', 'cyg', 'these', 'balproducing', 'fast', 'outflows', 'can', 'have', 'wider', 'opening', 'angles', 'than', 'has', 'been', 'previously', 'supposed', 'bal', 'symbiotics', 'are', 'shorttimescale', 'laboratories', 'for', 'their', 'gigascale', 'analogs', 'broad', 'absorption', 'line', 'quasars', 'balqsos', 'which', 'display', 'a', 'similarly', 'wide', 'range', 'of', 'ionization', 'states', 'in', 'their', 'winds']] | [-0.02094417264510901, 0.12136274011242654, 0.049894739368884236, 0.0661462743012352, -0.12075035349356339, -0.23483641068020664, 0.08043432113628428, 0.5098583549417618, -0.15156116211657733, -0.3124290538292394, 0.019244598285412463, -0.3544331868286753, 0.020179744605405427, 0.17487544102394686, -0.0494586747074759, -0.07096696385728321, 0.042691251808902674, -0.15002112424890354, -0.028979484144717595, -0.22619027273138562, 0.22921197984011515, 0.019333553713493972, 0.11187152390196106, -0.06234339311398065, 0.007698362982761459, -0.1555490999506051, -0.05461377593465619, -0.017262275952908423, -0.09628724181797638, -0.0035492895287706147, 0.28382754493543894, 0.1480435123226895, 0.215678488857398, -0.3065091522915305, -0.2374567726444543, 0.02661694901038603, 0.23723946302491358, 0.0035099023204695967, -0.004054071299329169, -0.2750587309632419, 0.00659351613169082, -0.17933598892497166, -0.14858627329314394, 0.10874874185586833, 0.13294890952715258, 0.06389289594450065, -0.17368057061000453, 0.09762965896051425, 0.05585136132690461, 0.18867505848028174, -0.09506093904788375, -0.09974246954216677, -0.14092474920330805, -0.04530251299717342, 0.030011099657071206, 0.011707479906554076, 0.1748196684203635, -0.10771900931365412, -0.08092596283879037, 0.40345018756983825, -0.10784177196464265, 0.17929138370130226, 0.2682247783190438, -0.2504381027822031, -0.18374314659349464, 0.3058534405456402, 0.14883925279963395, 0.1682261156334988, -0.09256038361087396, -0.03908958427995412, -0.05330413008820923, 0.20766784480485298, 0.07248994165800605, 0.12145442435490515, 0.33161594578800646, -0.007244662474645223, -0.02538456262216244, 0.04268144644251946, -0.2844872112711696, -0.0012458479344970039, -0.20902154579985605, -0.12434646300188884, -0.05359384056842033, 0.13515886497398166, -0.11328238385686447, -0.12691489853426627, 0.3437235539165441, 0.06612151735481814, 0.24934427220145183, -0.06501837498792094, 0.21940521680223637, 0.10879075487375166, 0.08260425366559106, 0.20432562803841753, 0.36722387497750125, 0.2130784391505769, 0.23561059130343975, -0.2251746765819198, 0.1609508008480917, 0.02153861038523781] |
1,802.07744 | Contextuality bounds the efficiency of classical simulation of quantum
processes | Contextuality has been conjectured to be a super-classical resource for
quantum computation, analogous to the role of non-locality as a super-classical
resource for communication. We show that the presence of contextuality places a
lower bound on the amount of classical memory required to simulate any quantum
sub-theory, thereby establishing a quantitative connection between
contextuality and classical simulability. We apply our result to the qubit
stabilizer sub-theory, where the presence of state-independent contextuality
has been an obstacle in establishing contextuality as a quantum computational
resource. We find that the presence of contextuality in this sub-theory demands
that the minimum number of classical bits of memory required to simulate a
multi-qubit system must scale quadratically in the number of qubits; notably,
this is the same scaling as the Gottesman-Knill algorithm. We contrast this
result with the (non-contextual) qudit case, where linear scaling is possible.
| quant-ph | contextuality has been conjectured to be a superclassical resource for quantum computation analogous to the role of nonlocality as a superclassical resource for communication we show that the presence of contextuality places a lower bound on the amount of classical memory required to simulate any quantum subtheory thereby establishing a quantitative connection between contextuality and classical simulability we apply our result to the qubit stabilizer subtheory where the presence of stateindependent contextuality has been an obstacle in establishing contextuality as a quantum computational resource we find that the presence of contextuality in this subtheory demands that the minimum number of classical bits of memory required to simulate a multiqubit system must scale quadratically in the number of qubits notably this is the same scaling as the gottesmanknill algorithm we contrast this result with the noncontextual qudit case where linear scaling is possible | [['contextuality', 'has', 'been', 'conjectured', 'to', 'be', 'a', 'superclassical', 'resource', 'for', 'quantum', 'computation', 'analogous', 'to', 'the', 'role', 'of', 'nonlocality', 'as', 'a', 'superclassical', 'resource', 'for', 'communication', 'we', 'show', 'that', 'the', 'presence', 'of', 'contextuality', 'places', 'a', 'lower', 'bound', 'on', 'the', 'amount', 'of', 'classical', 'memory', 'required', 'to', 'simulate', 'any', 'quantum', 'subtheory', 'thereby', 'establishing', 'a', 'quantitative', 'connection', 'between', 'contextuality', 'and', 'classical', 'simulability', 'we', 'apply', 'our', 'result', 'to', 'the', 'qubit', 'stabilizer', 'subtheory', 'where', 'the', 'presence', 'of', 'stateindependent', 'contextuality', 'has', 'been', 'an', 'obstacle', 'in', 'establishing', 'contextuality', 'as', 'a', 'quantum', 'computational', 'resource', 'we', 'find', 'that', 'the', 'presence', 'of', 'contextuality', 'in', 'this', 'subtheory', 'demands', 'that', 'the', 'minimum', 'number', 'of', 'classical', 'bits', 'of', 'memory', 'required', 'to', 'simulate', 'a', 'multiqubit', 'system', 'must', 'scale', 'quadratically', 'in', 'the', 'number', 'of', 'qubits', 'notably', 'this', 'is', 'the', 'same', 'scaling', 'as', 'the', 'gottesmanknill', 'algorithm', 'we', 'contrast', 'this', 'result', 'with', 'the', 'noncontextual', 'qudit', 'case', 'where', 'linear', 'scaling', 'is', 'possible']] | [-0.18245411346154944, 0.12294264532337507, -0.09407720290465464, 0.06226676939388173, -0.03885264497276553, -0.2249257643592321, 0.10083017648610904, 0.26582183812836735, -0.23750215859978763, -0.349866342943975, 0.03998295410739546, -0.2043489253240257, -0.12347249835926358, 0.19151940839496298, -0.1421256776221513, 0.1352678750523589, 0.031230397056788206, 0.06983326309078544, -0.026134971691161052, -0.28467533069221684, 0.27441587416343655, 0.04734196011583701, 0.27946415221528476, 0.05619305709678627, 0.06031326047787574, 0.01400387951363088, 0.0637891303721658, 0.019124364834541167, -0.0797617349659997, 0.10136849815550615, 0.2937283832366696, 0.16429166847013565, 0.30108313187694463, -0.4490554541821631, -0.2176894303870348, 0.1559037231449956, 0.11698458353377236, 0.17180255513218506, -0.015996091911392157, -0.2757773312107122, 0.041031814895202995, -0.1710116406656723, -0.08056668611899229, -0.07895470131844493, 0.05152568329309284, -0.08849028033584776, -0.2617779060096388, 0.07458050793338515, 0.10802290699129898, 0.04439515407028293, 0.04235558003403614, -0.006919112459028428, 0.054621666232058386, 0.1319149033261568, -0.051736221455273707, 0.014508060058316504, 0.10257947970588337, -0.11529397879051648, -0.20571834355277915, 0.36007319785602077, 0.0072886569730439025, -0.21117387976969632, 0.18737526634104654, -0.11168520979117602, -0.19003128354654084, 0.012332923334865818, 0.09688054969612982, 0.049448284812429, -0.10562744277732736, 0.1025481524415688, -0.10299556811904194, 0.219733058314272, 0.06349543336464065, 0.18124494334341776, 0.13678190173764884, 0.13224697422275555, 0.1109072833131789, 0.19109020176799443, -0.05047124336165389, -0.16359939408188515, -0.35755043423039395, -0.25692118441195777, -0.25611788061042445, 0.12355724346994514, -0.08665191186384977, -0.1130910395319954, 0.3241470595493808, 0.1450505669037713, 0.1394468651310554, 0.09091400046190115, 0.26650776925273767, 0.11081305103094488, 0.08080657113107367, 0.08843990106424185, 0.2266221914414159, 0.184481839141087, 0.04620641236141009, -0.2700776579842286, 0.08665959426844624, 0.03037434079992572] |
1,802.07745 | Diversity in the stellar velocity dispersion profiles of a large sample
of Brightest Cluster Galaxies $z\leq0.3$ | We analyse spatially-resolved deep optical spectroscopy of Brightest Cluster
Galaxies (BCGs) located in 32 massive clusters with redshifts of 0.05 $\leq z
\leq$ 0.30, to investigate their velocity dispersion profiles. We compare these
measurements to those of other massive early-type galaxies, as well as central
group galaxies, where relevant. This unique, large sample extends to the most
extreme of massive galaxies, spanning M$_{K}$ between -25.7 to -27.8 mag, and
host cluster halo mass M$_{500}$ up to 1.7 $\times$ 10$^{15}$ M$_{\odot}$. To
compare the kinematic properties between brightest group and cluster members,
we analyse similar spatially-resolved long-slit spectroscopy for 23 nearby
Brightest Group Galaxies (BGGs) from the Complete Local-Volume Groups Sample
(CLoGS). We find a surprisingly large variety in velocity dispersion slopes for
BCGs, with a significantly larger fraction of positive slopes, unique compared
to other (non-central) early-type galaxies as well as the majority of the
brightest members of the groups. We find that the velocity dispersion slopes of
the BCGs and BGGs correlate with the luminosity of the galaxies, and we
quantify this correlation. It is not clear whether the full diversity in
velocity dispersion slopes that we see is reproduced in simulations.
| astro-ph.GA | we analyse spatiallyresolved deep optical spectroscopy of brightest cluster galaxies bcgs located in 32 massive clusters with redshifts of 005 leq z leq 030 to investigate their velocity dispersion profiles we compare these measurements to those of other massive earlytype galaxies as well as central group galaxies where relevant this unique large sample extends to the most extreme of massive galaxies spanning m_k between 257 to 278 mag and host cluster halo mass m_500 up to 17 times 1015 m_odot to compare the kinematic properties between brightest group and cluster members we analyse similar spatiallyresolved longslit spectroscopy for 23 nearby brightest group galaxies bggs from the complete localvolume groups sample clogs we find a surprisingly large variety in velocity dispersion slopes for bcgs with a significantly larger fraction of positive slopes unique compared to other noncentral earlytype galaxies as well as the majority of the brightest members of the groups we find that the velocity dispersion slopes of the bcgs and bggs correlate with the luminosity of the galaxies and we quantify this correlation it is not clear whether the full diversity in velocity dispersion slopes that we see is reproduced in simulations | [['we', 'analyse', 'spatiallyresolved', 'deep', 'optical', 'spectroscopy', 'of', 'brightest', 'cluster', 'galaxies', 'bcgs', 'located', 'in', '32', 'massive', 'clusters', 'with', 'redshifts', 'of', '005', 'leq', 'z', 'leq', '030', 'to', 'investigate', 'their', 'velocity', 'dispersion', 'profiles', 'we', 'compare', 'these', 'measurements', 'to', 'those', 'of', 'other', 'massive', 'earlytype', 'galaxies', 'as', 'well', 'as', 'central', 'group', 'galaxies', 'where', 'relevant', 'this', 'unique', 'large', 'sample', 'extends', 'to', 'the', 'most', 'extreme', 'of', 'massive', 'galaxies', 'spanning', 'm_k', 'between', '257', 'to', '278', 'mag', 'and', 'host', 'cluster', 'halo', 'mass', 'm_500', 'up', 'to', '17', 'times', '1015', 'm_odot', 'to', 'compare', 'the', 'kinematic', 'properties', 'between', 'brightest', 'group', 'and', 'cluster', 'members', 'we', 'analyse', 'similar', 'spatiallyresolved', 'longslit', 'spectroscopy', 'for', '23', 'nearby', 'brightest', 'group', 'galaxies', 'bggs', 'from', 'the', 'complete', 'localvolume', 'groups', 'sample', 'clogs', 'we', 'find', 'a', 'surprisingly', 'large', 'variety', 'in', 'velocity', 'dispersion', 'slopes', 'for', 'bcgs', 'with', 'a', 'significantly', 'larger', 'fraction', 'of', 'positive', 'slopes', 'unique', 'compared', 'to', 'other', 'noncentral', 'earlytype', 'galaxies', 'as', 'well', 'as', 'the', 'majority', 'of', 'the', 'brightest', 'members', 'of', 'the', 'groups', 'we', 'find', 'that', 'the', 'velocity', 'dispersion', 'slopes', 'of', 'the', 'bcgs', 'and', 'bggs', 'correlate', 'with', 'the', 'luminosity', 'of', 'the', 'galaxies', 'and', 'we', 'quantify', 'this', 'correlation', 'it', 'is', 'not', 'clear', 'whether', 'the', 'full', 'diversity', 'in', 'velocity', 'dispersion', 'slopes', 'that', 'we', 'see', 'is', 'reproduced', 'in', 'simulations']] | [-0.057859295383493846, 0.07861240891832617, -0.07451601429354433, 0.10981193032969812, -0.10212312381198253, -0.03352570953812701, 0.05938296035231318, 0.4891289661160714, -0.11311705505588199, -0.37578212639191455, -0.014248331532803958, -0.3485558385154898, -0.013970640208089599, 0.20021913129681904, -0.012148136951009999, -0.05071649237697548, 0.027944635100713378, -0.07961901915718082, -0.08937159808801362, -0.288072800778282, 0.29441935768582583, 0.0038562705750888396, 0.19609401846507207, -0.10165840043044538, 0.043337557498616563, -0.06452089903268171, -0.09465696254426642, -0.0019745728220559, -0.1981175415031039, -0.0015767708048586362, 0.2604263512420087, 0.06648358702418332, 0.24053883158790015, -0.2458733525509443, -0.12620203150677559, 0.12282517229670109, 0.2544120585405958, -0.0019208269743876136, -0.07163085791263053, -0.26718177510319285, 0.11972693367161513, -0.17735165484017967, -0.21408103041741708, 0.09411555952802686, 0.05595832265228265, 0.05659244020609426, -0.15072946718754004, 0.2615486250495432, -0.06072345043658013, 0.13445263947818642, -0.09906107297654558, -0.13484418803073195, -0.09989368206932368, 0.11129204218862145, -0.017420544258893077, 0.05892572317385824, 0.19351992217843164, -0.14802648437117744, 0.022515056178593826, 0.4353684474728577, -0.04576627656556859, 0.06665168639510786, 0.2632900084769402, -0.2823160047030047, -0.22361954441776624, 0.0700788892144482, 0.18930168882243992, 0.09667215103626135, -0.15361708175834907, -0.024577317044013447, -0.06634260830348791, 0.25232943894409143, 0.016830535253287905, 0.08218134298360873, 0.26336327236425616, 0.05672414695670336, 0.05417684981010738, 0.06322509771360113, -0.18977382358819864, 0.017957124135268784, -0.19712380309579555, -0.11953541610650525, -0.10168065938258959, 0.10871409982754403, -0.1823724157806037, -0.08480194144414188, 0.31968546918366547, 0.0942551878808275, 0.2450858141603841, 0.14954529280431683, 0.24693205016013717, 0.0570011700846139, 0.1873999705593647, 0.1383527686886991, 0.2868594717110116, 0.24369836205838566, 0.00742436523146329, -0.24892795139952645, -0.028018962406104558, -0.03978920484159547] |
1,802.07746 | Holographic dual to charged SYK from 3D Gravity and Chern-Simons | In this paper, we obtain a bulk dual to SYK model, including SYK model with
$U(1)$ charge, by Kaluza-Klein (KK) reduction from three dimensions. We show
that KK reduction of the 3D Einstein action plus its boundary term gives the
Jackiw-Teitelboim (JT) model in 2D with the appropriate 1D boundary term. The
size of the KK radius gets identified with the value of the dilaton in the
resulting near-AdS$_2$ geometry. In presence of U(1) charge, the 3D model
additionally includes a $U(1)$ Chern-Simons (CS) action. In order to describe a
boundary theory with non-zero chemical potential, we also introduce a coupling
between CS gauge field and bulk gravity. The 3D CS action plus the new coupling
term with appropriate boundary terms reduce in two dimensions to a BF-type
action plus a source term and boundary terms. The KK reduced 2D theory
represents the soft sector of the charged SYK model. The pseudo-Nambu-Goldstone
modes of combined $\textit{Diff} /\mathbb{SL}(2,\mathbb{R})$ and $U(1)_{\rm
local}/U(1)$ transformations are represented by combined large diffeomorphisms
and large gauge transformations. The effective action of the former is
reproduced by the action cost of the latter in the bulk dual, after appropriate
identification of parameters. We compute chaotic correlators from the bulk and
reproduce the result that the contribution from the "boundary photons"
corresponds to zero Liapunov exponent.
| hep-th cond-mat.stat-mech nlin.CD | in this paper we obtain a bulk dual to syk model including syk model with u1 charge by kaluzaklein kk reduction from three dimensions we show that kk reduction of the 3d einstein action plus its boundary term gives the jackiwteitelboim jt model in 2d with the appropriate 1d boundary term the size of the kk radius gets identified with the value of the dilaton in the resulting nearads_2 geometry in presence of u1 charge the 3d model additionally includes a u1 chernsimons cs action in order to describe a boundary theory with nonzero chemical potential we also introduce a coupling between cs gauge field and bulk gravity the 3d cs action plus the new coupling term with appropriate boundary terms reduce in two dimensions to a bftype action plus a source term and boundary terms the kk reduced 2d theory represents the soft sector of the charged syk model the pseudonambugoldstone modes of combined textitdiff mathbbsl2mathbbr and u1_rm localu1 transformations are represented by combined large diffeomorphisms and large gauge transformations the effective action of the former is reproduced by the action cost of the latter in the bulk dual after appropriate identification of parameters we compute chaotic correlators from the bulk and reproduce the result that the contribution from the boundary photons corresponds to zero liapunov exponent | [['in', 'this', 'paper', 'we', 'obtain', 'a', 'bulk', 'dual', 'to', 'syk', 'model', 'including', 'syk', 'model', 'with', 'u1', 'charge', 'by', 'kaluzaklein', 'kk', 'reduction', 'from', 'three', 'dimensions', 'we', 'show', 'that', 'kk', 'reduction', 'of', 'the', '3d', 'einstein', 'action', 'plus', 'its', 'boundary', 'term', 'gives', 'the', 'jackiwteitelboim', 'jt', 'model', 'in', '2d', 'with', 'the', 'appropriate', '1d', 'boundary', 'term', 'the', 'size', 'of', 'the', 'kk', 'radius', 'gets', 'identified', 'with', 'the', 'value', 'of', 'the', 'dilaton', 'in', 'the', 'resulting', 'nearads_2', 'geometry', 'in', 'presence', 'of', 'u1', 'charge', 'the', '3d', 'model', 'additionally', 'includes', 'a', 'u1', 'chernsimons', 'cs', 'action', 'in', 'order', 'to', 'describe', 'a', 'boundary', 'theory', 'with', 'nonzero', 'chemical', 'potential', 'we', 'also', 'introduce', 'a', 'coupling', 'between', 'cs', 'gauge', 'field', 'and', 'bulk', 'gravity', 'the', '3d', 'cs', 'action', 'plus', 'the', 'new', 'coupling', 'term', 'with', 'appropriate', 'boundary', 'terms', 'reduce', 'in', 'two', 'dimensions', 'to', 'a', 'bftype', 'action', 'plus', 'a', 'source', 'term', 'and', 'boundary', 'terms', 'the', 'kk', 'reduced', '2d', 'theory', 'represents', 'the', 'soft', 'sector', 'of', 'the', 'charged', 'syk', 'model', 'the', 'pseudonambugoldstone', 'modes', 'of', 'combined', 'textitdiff', 'mathbbsl2mathbbr', 'and', 'u1_rm', 'localu1', 'transformations', 'are', 'represented', 'by', 'combined', 'large', 'diffeomorphisms', 'and', 'large', 'gauge', 'transformations', 'the', 'effective', 'action', 'of', 'the', 'former', 'is', 'reproduced', 'by', 'the', 'action', 'cost', 'of', 'the', 'latter', 'in', 'the', 'bulk', 'dual', 'after', 'appropriate', 'identification', 'of', 'parameters', 'we', 'compute', 'chaotic', 'correlators', 'from', 'the', 'bulk', 'and', 'reproduce', 'the', 'result', 'that', 'the', 'contribution', 'from', 'the', 'boundary', 'photons', 'corresponds', 'to', 'zero', 'liapunov', 'exponent']] | [-0.14364386215957617, 0.17422573805981598, -0.04638711578364289, 0.03818380305933398, -0.05378592872347813, -0.16617367040842426, -0.0014352483680298508, 0.25968535188802105, -0.21696987701796516, -0.28945818519176436, 0.06328517117180191, -0.27910932064229665, -0.15046689372153027, 0.0598927060846066, -0.045781699262646046, 0.016662117080535565, 0.000696394617431039, 0.06982000991268907, -0.10064664074831621, -0.20308303860785049, 0.321564433036567, 0.01950503524912651, 0.24576448647976787, 0.031423007396894485, 0.10603468918869662, 0.003381333812031635, -0.011134764136270035, 0.020180890275988468, -0.11176713619761569, 0.1074220025998562, 0.16691458860932049, 0.005018487491449991, 0.14153077540875866, -0.40924895555647306, -0.25048669519899197, 0.057784870407695685, 0.10823779636127658, 0.13478502872573256, -0.020072958022789206, -0.28904028591093456, 0.049213737719621224, -0.19780780571772782, -0.1520400518161613, -0.06796726027481952, -0.026040318733362783, -0.1222321399942387, -0.3070667359550202, 0.11616811004256136, 0.012536428770223675, 0.035722641979863995, -0.11473676287948133, -0.08562920817152359, -0.09598200616188521, 0.09230264076573211, 0.14901036346861876, 0.08151379530859548, 0.11736831842098645, -0.18808546990567687, -0.08720704669479368, 0.39582504266656415, -0.1596347371446575, -0.2475151393356798, 0.18500669847220874, -0.1296647495912323, -0.11011184019491423, 0.13206579719865044, 0.13033533215436133, 0.10098359967733539, -0.13088179819372503, 0.21875672535618854, -0.026944249422765923, 0.15499825338226592, 0.04662603807938827, 0.05596367250694785, 0.21984137349090604, 0.10269341742468262, 0.03763248199856905, 0.18071391400123057, -0.05831709719847801, -0.11850507276804122, -0.3817317053675652, -0.15013895435475333, -0.14364863309649165, 0.07474012726398055, -0.15173436524312628, -0.16153123715979067, 0.4001133255443947, 0.1286052539717233, 0.2023036028929921, 0.040692644948031494, 0.23281484065620706, 0.13273602714410138, 0.11386024757006834, 0.03838305766396441, 0.23076592823246841, 0.13818546815147234, 0.0669464950411862, -0.3058820727129662, -0.10939323304134399, 0.18657712720247896] |
1,802.07747 | Higher-form symmetries and spontaneous symmetry breaking | We study various aspects of spontaneous symmetry breaking in theories that
possess higher-form symmetries, which are symmetries whose charged objects have
a dimension $p>0$. We first sketch a proof of a higher version of Goldstone's
theorem, and then discuss how boundary conditions and gauge-fixing issues are
dealt with in theories with spontaneously broken higher symmetries, focusing in
particular on $p$-form $U(1)$ gauge theories. We then elaborate on a
generalization of the Coleman-Mermin-Wagner theorem for higher-form symmetries,
namely that in spacetime dimension $D$, continuous $p$-form symmetries can
never be spontaneously broken if $p\geq D-2$. We also make a few comments on
relations between higher symmetries and asymptotic symmetries in Abelian gauge
theory.
| hep-th cond-mat.str-el | we study various aspects of spontaneous symmetry breaking in theories that possess higherform symmetries which are symmetries whose charged objects have a dimension p0 we first sketch a proof of a higher version of goldstones theorem and then discuss how boundary conditions and gaugefixing issues are dealt with in theories with spontaneously broken higher symmetries focusing in particular on pform u1 gauge theories we then elaborate on a generalization of the colemanmerminwagner theorem for higherform symmetries namely that in spacetime dimension d continuous pform symmetries can never be spontaneously broken if pgeq d2 we also make a few comments on relations between higher symmetries and asymptotic symmetries in abelian gauge theory | [['we', 'study', 'various', 'aspects', 'of', 'spontaneous', 'symmetry', 'breaking', 'in', 'theories', 'that', 'possess', 'higherform', 'symmetries', 'which', 'are', 'symmetries', 'whose', 'charged', 'objects', 'have', 'a', 'dimension', 'p0', 'we', 'first', 'sketch', 'a', 'proof', 'of', 'a', 'higher', 'version', 'of', 'goldstones', 'theorem', 'and', 'then', 'discuss', 'how', 'boundary', 'conditions', 'and', 'gaugefixing', 'issues', 'are', 'dealt', 'with', 'in', 'theories', 'with', 'spontaneously', 'broken', 'higher', 'symmetries', 'focusing', 'in', 'particular', 'on', 'pform', 'u1', 'gauge', 'theories', 'we', 'then', 'elaborate', 'on', 'a', 'generalization', 'of', 'the', 'colemanmerminwagner', 'theorem', 'for', 'higherform', 'symmetries', 'namely', 'that', 'in', 'spacetime', 'dimension', 'd', 'continuous', 'pform', 'symmetries', 'can', 'never', 'be', 'spontaneously', 'broken', 'if', 'pgeq', 'd2', 'we', 'also', 'make', 'a', 'few', 'comments', 'on', 'relations', 'between', 'higher', 'symmetries', 'and', 'asymptotic', 'symmetries', 'in', 'abelian', 'gauge', 'theory']] | [-0.16033119922461878, 0.24106382076766947, -0.10194569924712046, 0.11552209187370331, -0.12478115106513304, -0.2207004089822976, -0.01966277314433912, 0.35406961780343504, -0.18025464997500987, -0.25465113681380275, 0.12271007334998062, -0.24288223513511117, -0.163916157004801, 0.045929803177378735, -0.09171777424142435, -0.026990374441149535, -0.08427581454937656, 0.05926759947754174, -0.1588216268788889, -0.26832206634519334, 0.34384769361952805, -0.0755340991592085, 0.30054798909370695, 0.06471423305118003, 0.10132488589272373, -0.010906851082738186, 0.03780380827752319, -0.008876221720129251, -0.1240814609233099, 0.06751263541429564, 0.19748902588931694, 0.047640156281927415, 0.15096285534804468, -0.465081019914365, -0.20553589391580843, 0.11317154839802701, 0.15468533939749068, 0.1582018115740219, -0.051548023409260485, -0.3532994773138214, 0.1007468662568712, -0.15954260570039083, -0.2088496164389391, -0.14759015417783647, -0.00014156767645397703, -0.0942852150350977, -0.21329496438438827, 0.08564316873571852, 0.114267068797605, 0.15285013648872747, -0.06644818593689182, -0.023891881813068647, -0.12999395462831165, 0.00613610438062801, 0.16086328444952094, -0.03303899157683256, 0.06397533268764245, -0.18635791926099374, -0.19102367659745453, 0.41301884779891185, -0.028486240051082662, -0.2986243287487341, 0.14868332565602688, -0.12998436905888353, -0.30324928741902113, 0.05648724749885701, 0.14869140279856888, 0.16259841904933522, -0.07352638757275837, 0.2119650992859566, -0.06868870908222455, 0.12834572988805604, 0.12231426472872782, 0.09045967602523396, 0.1977703963607751, 0.03701413227958387, 0.06697261688584748, 0.11619162541784782, 0.07304281554277148, -0.1216891353849221, -0.4395993481650277, -0.13147613621392362, -0.09962073718784964, 0.13327140579008506, -0.10777121275070287, -0.06986177944251008, 0.35379621223756325, 0.14613736477504308, 0.13968038711663303, 0.05453682156502026, 0.14579163369647152, 0.1000986153108848, 0.08955113437479816, 0.03093241876293276, 0.17373157676040857, 0.18139224037368623, 0.024300915084208723, -0.16804371333181825, -0.1340524638155559, 0.19958841449136402] |
1,802.07748 | On the Rates of Steady, Quasi-steady and Impulsive Magnetic Reconnection | Magnetic reconnection (MR) is considered as a major source of particle
energization in astrophysical plasma. In the past, analysis of MR often assumes
the magnetostatic condition, i.e. $\partial_t = 0$. We show that under the
Sweet-Parker-Petschek framework, steady state is an over-constraint and is not
achievable. On the other hand, the quasi-steady state defined as $\partial_t
\mathbf{E} = 0$ but $\partial_t \mathbf{B} \neq 0$ or equivalently
$\partial_t\mathbf{j}\neq 0$ better describes the asymptotic behaviour of MR
without turbulence. The upper limit of MR rate for quasi-steady MR is found to
be $\sim 1/3\sqrt{3} \sim 0.19$. The limit does not apply to impulsive or
turbulent MR of which $\partial_t\mathbf{B} \neq 0$ and $\partial_t\mathbf{E}
\neq 0$. In impulsive MR the rate can be higher or lower than 0.19 depending on
the state of the turbulence. Our results may explain the apparent discrepancy
in observations of solar flare MR rates. The analysis is independent of mass
ratio and thus the results are applicable to pair plasma.
| physics.space-ph astro-ph.EP astro-ph.HE astro-ph.SR physics.plasm-ph | magnetic reconnection mr is considered as a major source of particle energization in astrophysical plasma in the past analysis of mr often assumes the magnetostatic condition ie partial_t 0 we show that under the sweetparkerpetschek framework steady state is an overconstraint and is not achievable on the other hand the quasisteady state defined as partial_t mathbfe 0 but partial_t mathbfb neq 0 or equivalently partial_tmathbfjneq 0 better describes the asymptotic behaviour of mr without turbulence the upper limit of mr rate for quasisteady mr is found to be sim 13sqrt3 sim 019 the limit does not apply to impulsive or turbulent mr of which partial_tmathbfb neq 0 and partial_tmathbfe neq 0 in impulsive mr the rate can be higher or lower than 019 depending on the state of the turbulence our results may explain the apparent discrepancy in observations of solar flare mr rates the analysis is independent of mass ratio and thus the results are applicable to pair plasma | [['magnetic', 'reconnection', 'mr', 'is', 'considered', 'as', 'a', 'major', 'source', 'of', 'particle', 'energization', 'in', 'astrophysical', 'plasma', 'in', 'the', 'past', 'analysis', 'of', 'mr', 'often', 'assumes', 'the', 'magnetostatic', 'condition', 'ie', 'partial_t', '0', 'we', 'show', 'that', 'under', 'the', 'sweetparkerpetschek', 'framework', 'steady', 'state', 'is', 'an', 'overconstraint', 'and', 'is', 'not', 'achievable', 'on', 'the', 'other', 'hand', 'the', 'quasisteady', 'state', 'defined', 'as', 'partial_t', 'mathbfe', '0', 'but', 'partial_t', 'mathbfb', 'neq', '0', 'or', 'equivalently', 'partial_tmathbfjneq', '0', 'better', 'describes', 'the', 'asymptotic', 'behaviour', 'of', 'mr', 'without', 'turbulence', 'the', 'upper', 'limit', 'of', 'mr', 'rate', 'for', 'quasisteady', 'mr', 'is', 'found', 'to', 'be', 'sim', '13sqrt3', 'sim', '019', 'the', 'limit', 'does', 'not', 'apply', 'to', 'impulsive', 'or', 'turbulent', 'mr', 'of', 'which', 'partial_tmathbfb', 'neq', '0', 'and', 'partial_tmathbfe', 'neq', '0', 'in', 'impulsive', 'mr', 'the', 'rate', 'can', 'be', 'higher', 'or', 'lower', 'than', '019', 'depending', 'on', 'the', 'state', 'of', 'the', 'turbulence', 'our', 'results', 'may', 'explain', 'the', 'apparent', 'discrepancy', 'in', 'observations', 'of', 'solar', 'flare', 'mr', 'rates', 'the', 'analysis', 'is', 'independent', 'of', 'mass', 'ratio', 'and', 'thus', 'the', 'results', 'are', 'applicable', 'to', 'pair', 'plasma']] | [-0.15759283869166768, 0.1769629165568697, -0.022918208288930115, 0.060839332091141375, -0.055152434837673944, -0.16169775468747943, -0.019340705778449773, 0.31290793177942117, -0.24396020338059432, -0.29748390310053385, 0.0803900217877761, -0.2635766182996092, -0.04359325336803111, 0.2389859800730201, -0.03148473289029132, -0.0007425876965205516, 0.034052248160925606, 0.051137780244912834, -0.05749443748124665, -0.16944136089615283, 0.2814519194946174, 0.035373718339589334, 0.2644973769844059, 0.03949081155118502, 0.07009526706571059, -0.08862989029937214, 0.057431797812422435, 0.009946831123482797, -0.16282678642390003, -0.058457680527241, 0.1980877501108954, 0.09070226079141233, 0.2559372580910642, -0.4024374544500343, -0.19924115531781178, 0.09507230212010684, 0.21498485439487042, 0.039509120322914135, 0.014923885448144809, -0.25746108514797544, 0.12843071965410585, -0.10439828108365257, -0.11475660730333578, 0.014107727920336108, 0.036774243975448755, 0.013884725045382736, -0.36313074250975924, 0.20971488998301568, 0.1236791338020515, 0.0436496184460984, -0.1253464796204841, -0.150303729599522, -0.04515277906020562, 0.06811470872902822, 0.10040137873992565, 0.11230648081268996, 0.15060764532686483, -0.1808929858488902, -0.04716392964004509, 0.3377588555877728, -0.08175896464653629, -0.16442630173217865, 0.15377018273838106, -0.24115931652636538, -0.08712880728886493, 0.1443017418331076, 0.13318670735424085, 0.12542528033316616, -0.0988233898045315, 0.08796538289508692, -0.017112133982441116, 0.18296300700354962, 0.045300479822101135, -0.018402995297595138, 0.18106395114032972, 0.12453075000385364, 0.055752632391428754, 0.0773110966126795, -0.15671915303495143, -0.043676108465860446, -0.2949397793520362, -0.1604347537842489, -0.16069708778335143, 0.15872394198780848, -0.08139136792282618, -0.16110222945290228, 0.3084850094972118, 0.1648011436633345, 0.19257735538206275, 0.009908269105419035, 0.25903993554473403, 0.1636908826530881, -0.008106645758474066, 0.12550382487055275, 0.2697020978576714, 0.1527735772107037, 0.13797369122264846, -0.23267941024274597, 0.1056520211360147, 0.011181847582901678] |
1,802.07749 | Radiative transfer calculations of the diffuse ionised gas in disc
galaxies with cosmic ray feedback | The large vertical scale heights of the diffuse ionised gas (DIG) in disc
galaxies are challenging to model, as hydrodynamical models including only
thermal feedback seem to be unable to support gas at these heights. In this
paper, we use a three dimensional Monte Carlo radiation transfer code to
post-process disc simulations of the Simulating the Life-Cycle of Molecular
Clouds (SILCC) project that include feedback by cosmic rays. We show that the
more extended discs in simulations including cosmic ray feedback naturally lead
to larger scale heights for the DIG which are more in line with observed scale
heights. We also show that including a fiducial cosmic ray heating term in our
model can help to increase the temperature as a function of disc scale height,
but fails to reproduce observed DIG nitrogen and sulphur forbidden line
intensities. We show that, to reproduce these line emissions, we require a
heating mechanism that affects gas over a larger density range than is achieved
by cosmic ray heating, which can be achieved by fine tuning the total
luminosity of ionising sources to get an appropriate ionising spectrum as a
function of scale height. This result sheds a new light on the relation between
forbidden line emissions and temperature profiles for realistic DIG gas
distributions.
| astro-ph.GA | the large vertical scale heights of the diffuse ionised gas dig in disc galaxies are challenging to model as hydrodynamical models including only thermal feedback seem to be unable to support gas at these heights in this paper we use a three dimensional monte carlo radiation transfer code to postprocess disc simulations of the simulating the lifecycle of molecular clouds silcc project that include feedback by cosmic rays we show that the more extended discs in simulations including cosmic ray feedback naturally lead to larger scale heights for the dig which are more in line with observed scale heights we also show that including a fiducial cosmic ray heating term in our model can help to increase the temperature as a function of disc scale height but fails to reproduce observed dig nitrogen and sulphur forbidden line intensities we show that to reproduce these line emissions we require a heating mechanism that affects gas over a larger density range than is achieved by cosmic ray heating which can be achieved by fine tuning the total luminosity of ionising sources to get an appropriate ionising spectrum as a function of scale height this result sheds a new light on the relation between forbidden line emissions and temperature profiles for realistic dig gas distributions | [['the', 'large', 'vertical', 'scale', 'heights', 'of', 'the', 'diffuse', 'ionised', 'gas', 'dig', 'in', 'disc', 'galaxies', 'are', 'challenging', 'to', 'model', 'as', 'hydrodynamical', 'models', 'including', 'only', 'thermal', 'feedback', 'seem', 'to', 'be', 'unable', 'to', 'support', 'gas', 'at', 'these', 'heights', 'in', 'this', 'paper', 'we', 'use', 'a', 'three', 'dimensional', 'monte', 'carlo', 'radiation', 'transfer', 'code', 'to', 'postprocess', 'disc', 'simulations', 'of', 'the', 'simulating', 'the', 'lifecycle', 'of', 'molecular', 'clouds', 'silcc', 'project', 'that', 'include', 'feedback', 'by', 'cosmic', 'rays', 'we', 'show', 'that', 'the', 'more', 'extended', 'discs', 'in', 'simulations', 'including', 'cosmic', 'ray', 'feedback', 'naturally', 'lead', 'to', 'larger', 'scale', 'heights', 'for', 'the', 'dig', 'which', 'are', 'more', 'in', 'line', 'with', 'observed', 'scale', 'heights', 'we', 'also', 'show', 'that', 'including', 'a', 'fiducial', 'cosmic', 'ray', 'heating', 'term', 'in', 'our', 'model', 'can', 'help', 'to', 'increase', 'the', 'temperature', 'as', 'a', 'function', 'of', 'disc', 'scale', 'height', 'but', 'fails', 'to', 'reproduce', 'observed', 'dig', 'nitrogen', 'and', 'sulphur', 'forbidden', 'line', 'intensities', 'we', 'show', 'that', 'to', 'reproduce', 'these', 'line', 'emissions', 'we', 'require', 'a', 'heating', 'mechanism', 'that', 'affects', 'gas', 'over', 'a', 'larger', 'density', 'range', 'than', 'is', 'achieved', 'by', 'cosmic', 'ray', 'heating', 'which', 'can', 'be', 'achieved', 'by', 'fine', 'tuning', 'the', 'total', 'luminosity', 'of', 'ionising', 'sources', 'to', 'get', 'an', 'appropriate', 'ionising', 'spectrum', 'as', 'a', 'function', 'of', 'scale', 'height', 'this', 'result', 'sheds', 'a', 'new', 'light', 'on', 'the', 'relation', 'between', 'forbidden', 'line', 'emissions', 'and', 'temperature', 'profiles', 'for', 'realistic', 'dig', 'gas', 'distributions']] | [-0.03416347340680659, 0.1403243724627553, -0.03892828986767508, 0.14894084401488006, -0.04108571458963747, -0.06188346155510583, 0.005036756926203006, 0.4530838184412305, -0.23588345730062224, -0.3641630011909413, 0.027245498964681623, -0.24688800548660164, -0.017844827606341086, 0.2369525020542326, 0.002425387668651792, -0.01851046242188873, 0.02091033844593561, -0.12419636760956941, -0.020379385694571473, -0.23150196844955712, 0.32583303617990034, 0.17099187186620426, 0.18335670386968217, 0.06663395921734847, 0.051140246708561085, -0.11675108470382907, -0.06078267874710156, 0.019836684624677664, -0.13518368306750006, 0.06190888349950876, 0.2089549884040883, 0.10960174207180247, 0.1997942059753322, -0.438920688121316, -0.31088126643740943, 0.09664980565496492, 0.18738725259109348, 0.0941771172516417, -0.0471321006832954, -0.18867608304970176, 0.05110921692937823, -0.17150051840844582, -0.1665941679318664, 0.02201980371181941, -0.016397478315926525, 0.02654238198703134, -0.24968126703290935, 0.09208630461271584, 0.018372261718811712, 0.056754060959408305, -0.05738937151387668, -0.05515910325932123, -0.054549499323705807, 0.08382681438167808, 0.021606102018542413, 0.042878340174145296, 0.25122248766425437, -0.13237384088021809, -0.0382606319046386, 0.4081079951874068, -0.10009267855742299, -0.07746221923778923, 0.21788043651470634, -0.19916120409868868, -0.13180969129942516, 0.2326741732024359, 0.1835050509192647, 0.07398299524452942, -0.12214360117609173, 0.018489314194324973, -0.04695015293293422, 0.2073485134389111, 0.06025894319656182, -0.002269513292220544, 0.2718796131534959, 0.09009273317071416, 0.05243502639008649, 0.10919047520772712, -0.14787547303394433, -0.07248441822813684, -0.27396896933117565, -0.12020875816178543, -0.10293075298222731, 0.08698491998981105, -0.08352416192765133, -0.16652587899374818, 0.31618609391804264, 0.20165945355146728, 0.2629996658641107, 0.056881415647814786, 0.3291258323116158, 0.08949280441145606, 0.10484206390936139, 0.11146781140420023, 0.22822506985635901, 0.1277091277198743, 0.08294107835192918, -0.25596078064398103, 0.06840187733013288, 0.024141199604546616] |
1,802.0775 | Effects of Fall-Back Accretion on Proto-Magnetar Outflows in Gamma-Ray
Bursts and Superluminous Supernovae | Rapidly spinning, strongly magnetized proto-neutron stars ("millisecond
proto-magnetars") are candidate central engines of long-duration gamma-ray
bursts (GRB), superluminous supernovae (SLSNe), and binary neutron star
mergers. Magnetar birth may be accompanied by the fall-back of stellar debris,
lasting for seconds or longer following the explosion. Accretion alters the
magnetar evolution by (1) providing an additional source of rotational energy
(or a potential sink, if the propeller mechanism operates); (2) enhancing the
spin-down luminosity above the dipole rate by compressing the magnetosphere and
expanding the polar cap region of open magnetic field lines; (3) supplying an
additional accretion-powered neutrino luminosity that sustains the wind
baryon-loading, even after the magnetar's internal neutrino luminosity has
subsided. The more complex evolution of the jet power and magnetization of an
accreting magnetar more readily accounts for the high 56Ni yields GRB SNe and
irregular time evolution of some GRB light curves (e.g.~bursts with precursors
followed by a long quiescent interval before the main emission episode).
Additional baryon-loading from accretion-powered neutrino irradiation of the
magnetar polar cap lengthens the timeframe over which the jet magnetization is
in the requisite range sigma ~< 1e3 for efficient gamma-ray emission, thereby
accommodating GRBs with ultra-long durations. Though accretion does not
significantly raise the maximum energy budget from the limit of <~ few 1e52
ergs for an isolated magnetar, it greatly expands the range of magnetic field
strengths and birth spin periods capable of powering GRB jets, reducing the
differences between the magnetar properties normally invoked to explain GRBs
versus SLSNe.
| astro-ph.HE | rapidly spinning strongly magnetized protoneutron stars millisecond protomagnetars are candidate central engines of longduration gammaray bursts grb superluminous supernovae slsne and binary neutron star mergers magnetar birth may be accompanied by the fallback of stellar debris lasting for seconds or longer following the explosion accretion alters the magnetar evolution by 1 providing an additional source of rotational energy or a potential sink if the propeller mechanism operates 2 enhancing the spindown luminosity above the dipole rate by compressing the magnetosphere and expanding the polar cap region of open magnetic field lines 3 supplying an additional accretionpowered neutrino luminosity that sustains the wind baryonloading even after the magnetars internal neutrino luminosity has subsided the more complex evolution of the jet power and magnetization of an accreting magnetar more readily accounts for the high 56ni yields grb sne and irregular time evolution of some grb light curves egbursts with precursors followed by a long quiescent interval before the main emission episode additional baryonloading from accretionpowered neutrino irradiation of the magnetar polar cap lengthens the timeframe over which the jet magnetization is in the requisite range sigma 1e3 for efficient gammaray emission thereby accommodating grbs with ultralong durations though accretion does not significantly raise the maximum energy budget from the limit of few 1e52 ergs for an isolated magnetar it greatly expands the range of magnetic field strengths and birth spin periods capable of powering grb jets reducing the differences between the magnetar properties normally invoked to explain grbs versus slsne | [['rapidly', 'spinning', 'strongly', 'magnetized', 'protoneutron', 'stars', 'millisecond', 'protomagnetars', 'are', 'candidate', 'central', 'engines', 'of', 'longduration', 'gammaray', 'bursts', 'grb', 'superluminous', 'supernovae', 'slsne', 'and', 'binary', 'neutron', 'star', 'mergers', 'magnetar', 'birth', 'may', 'be', 'accompanied', 'by', 'the', 'fallback', 'of', 'stellar', 'debris', 'lasting', 'for', 'seconds', 'or', 'longer', 'following', 'the', 'explosion', 'accretion', 'alters', 'the', 'magnetar', 'evolution', 'by', '1', 'providing', 'an', 'additional', 'source', 'of', 'rotational', 'energy', 'or', 'a', 'potential', 'sink', 'if', 'the', 'propeller', 'mechanism', 'operates', '2', 'enhancing', 'the', 'spindown', 'luminosity', 'above', 'the', 'dipole', 'rate', 'by', 'compressing', 'the', 'magnetosphere', 'and', 'expanding', 'the', 'polar', 'cap', 'region', 'of', 'open', 'magnetic', 'field', 'lines', '3', 'supplying', 'an', 'additional', 'accretionpowered', 'neutrino', 'luminosity', 'that', 'sustains', 'the', 'wind', 'baryonloading', 'even', 'after', 'the', 'magnetars', 'internal', 'neutrino', 'luminosity', 'has', 'subsided', 'the', 'more', 'complex', 'evolution', 'of', 'the', 'jet', 'power', 'and', 'magnetization', 'of', 'an', 'accreting', 'magnetar', 'more', 'readily', 'accounts', 'for', 'the', 'high', '56ni', 'yields', 'grb', 'sne', 'and', 'irregular', 'time', 'evolution', 'of', 'some', 'grb', 'light', 'curves', 'egbursts', 'with', 'precursors', 'followed', 'by', 'a', 'long', 'quiescent', 'interval', 'before', 'the', 'main', 'emission', 'episode', 'additional', 'baryonloading', 'from', 'accretionpowered', 'neutrino', 'irradiation', 'of', 'the', 'magnetar', 'polar', 'cap', 'lengthens', 'the', 'timeframe', 'over', 'which', 'the', 'jet', 'magnetization', 'is', 'in', 'the', 'requisite', 'range', 'sigma', '1e3', 'for', 'efficient', 'gammaray', 'emission', 'thereby', 'accommodating', 'grbs', 'with', 'ultralong', 'durations', 'though', 'accretion', 'does', 'not', 'significantly', 'raise', 'the', 'maximum', 'energy', 'budget', 'from', 'the', 'limit', 'of', 'few', '1e52', 'ergs', 'for', 'an', 'isolated', 'magnetar', 'it', 'greatly', 'expands', 'the', 'range', 'of', 'magnetic', 'field', 'strengths', 'and', 'birth', 'spin', 'periods', 'capable', 'of', 'powering', 'grb', 'jets', 'reducing', 'the', 'differences', 'between', 'the', 'magnetar', 'properties', 'normally', 'invoked', 'to', 'explain', 'grbs', 'versus', 'slsne']] | [-0.10463930178633495, 0.24230033463373335, 0.013337536611281306, 0.20515212776782255, -0.1803682460807837, -0.10124230893472067, 0.06799535259419698, 0.4339877618571012, -0.1876812954298937, -0.32612212240575295, 0.04371314647141844, -0.253050077134043, 0.08882876509529075, 0.2946477424499941, -0.011625838373757772, -0.07006709984794018, 0.11044238024741894, -0.07477354654393759, -0.06645781928597976, -0.23192748848041558, 0.24745123054802057, 0.13069037045823478, 0.13771346252956446, -0.028881575009193618, 0.0818866110484112, -0.09358277934394128, 0.014109868333799395, -0.13227326638415937, -0.10201532703175456, -0.0074916261206814634, 0.19688205764749603, 0.15488043971650062, 0.18089628848736222, -0.4578582329773589, -0.2958988762905572, 0.10027659274279498, 0.1847492230783673, -0.0034881737909768992, -0.06663705288351943, -0.2274908385779671, 0.05202939332112187, -0.29022326822503874, -0.16866070202170957, 0.09110062728873511, 0.10183376930786017, 0.08689947008355124, -0.19069686349008141, 0.1162334135130259, 0.10385504778312436, 0.046640464265431135, -0.144343412288951, 0.000539984993319883, -0.05818939307395384, -0.00432420306959706, 0.14203926646348602, 0.10217994286750372, 0.19545027775113066, -0.18099453836219453, -0.048408102201955835, 0.3777286998686279, -0.022557120921980093, 0.07826594235413228, 0.16074678380049856, -0.2152497686769979, -0.12648623485140775, 0.24611546160645692, 0.11036574498487274, 0.09173852144193793, -0.14710854304302107, -0.05243743349244698, 0.04733185569269334, 0.18159370849178613, 0.03798397771282657, 0.04851563226786039, 0.39867753858832633, 0.17578703995703565, -0.001454936389468218, 0.09731674425210615, -0.24029947236662935, 0.009024275760901602, -0.27661167928451286, -0.06170930075628856, -0.1137171394808165, 0.19713332449390716, -0.1600532021099793, -0.11177456733744275, 0.40295527697077044, 0.04356269228605832, 0.1520636592113115, 0.004814203436908723, 0.258288401245, 0.1022916878780976, 0.06812139267294182, 0.22688010677427567, 0.33225032921207914, 0.16478331596213525, 0.1354481150911789, -0.27716090856025727, 0.14076752938812803, 0.01815725765558646] |
1,802.07751 | Starburst to quiescent from HST/ALMA: Stars and dust unveil minor
mergers in submillimeter galaxies at $z \sim 4.5$ | Dust-enshrouded, starbursting, submillimeter galaxies (SMGs) at $z \geq 3$
have been proposed as progenitors of $z \geq 2$ compact quiescent galaxies
(cQGs). To test this connection, we present a detailed spatially resolved study
of the stars, dust and stellar mass in a sample of six submillimeter-bright
starburst galaxies at $z \sim 4.5$. The stellar UV emission probed by HST is
extended, irregular and shows evidence of multiple components. Informed by HST,
we deblend Spitzer/IRAC data at rest-frame optical finding that the systems are
undergoing minor mergers, with a typical stellar mass ratio of 1:6.5. The FIR
dust continuum emission traced by ALMA locates the bulk of star formation in
extremely compact regions (median $r_{\rm{e}} = 0.70 \pm 0.29$ kpc) and it is
in all cases associated with the most massive component of the mergers (median
$\log (M_{*}/M_{\odot}) = 10.49 \pm 0.32$). We compare spatially resolved UV
slope ($\beta$) maps with the FIR dust continuum to study the infrared excess
($\rm{IRX} = L_{\rm{IR}}/L_{\rm{UV}}$)-$\beta$ relation. The SMGs display
systematically higher $\rm{IRX}$ values than expected from the nominal trend,
demonstrating that the FIR and UV emissions are spatially disconnected.
Finally, we show that the SMGs fall on the mass-size plane at smaller stellar
masses and sizes than cQGs at $z = 2$. Taking into account the expected
evolution in stellar mass and size between $z = 4.5$ and $z = 2$ due to the
ongoing starburst and mergers with minor companions, this is in agreement with
a direct evolutionary connection between the two populations.
| astro-ph.GA | dustenshrouded starbursting submillimeter galaxies smgs at z geq 3 have been proposed as progenitors of z geq 2 compact quiescent galaxies cqgs to test this connection we present a detailed spatially resolved study of the stars dust and stellar mass in a sample of six submillimeterbright starburst galaxies at z sim 45 the stellar uv emission probed by hst is extended irregular and shows evidence of multiple components informed by hst we deblend spitzerirac data at restframe optical finding that the systems are undergoing minor mergers with a typical stellar mass ratio of 165 the fir dust continuum emission traced by alma locates the bulk of star formation in extremely compact regions median r_rme 070 pm 029 kpc and it is in all cases associated with the most massive component of the mergers median log m_m_odot 1049 pm 032 we compare spatially resolved uv slope beta maps with the fir dust continuum to study the infrared excess rmirx l_rmirl_rmuvbeta relation the smgs display systematically higher rmirx values than expected from the nominal trend demonstrating that the fir and uv emissions are spatially disconnected finally we show that the smgs fall on the masssize plane at smaller stellar masses and sizes than cqgs at z 2 taking into account the expected evolution in stellar mass and size between z 45 and z 2 due to the ongoing starburst and mergers with minor companions this is in agreement with a direct evolutionary connection between the two populations | [['dustenshrouded', 'starbursting', 'submillimeter', 'galaxies', 'smgs', 'at', 'z', 'geq', '3', 'have', 'been', 'proposed', 'as', 'progenitors', 'of', 'z', 'geq', '2', 'compact', 'quiescent', 'galaxies', 'cqgs', 'to', 'test', 'this', 'connection', 'we', 'present', 'a', 'detailed', 'spatially', 'resolved', 'study', 'of', 'the', 'stars', 'dust', 'and', 'stellar', 'mass', 'in', 'a', 'sample', 'of', 'six', 'submillimeterbright', 'starburst', 'galaxies', 'at', 'z', 'sim', '45', 'the', 'stellar', 'uv', 'emission', 'probed', 'by', 'hst', 'is', 'extended', 'irregular', 'and', 'shows', 'evidence', 'of', 'multiple', 'components', 'informed', 'by', 'hst', 'we', 'deblend', 'spitzerirac', 'data', 'at', 'restframe', 'optical', 'finding', 'that', 'the', 'systems', 'are', 'undergoing', 'minor', 'mergers', 'with', 'a', 'typical', 'stellar', 'mass', 'ratio', 'of', '165', 'the', 'fir', 'dust', 'continuum', 'emission', 'traced', 'by', 'alma', 'locates', 'the', 'bulk', 'of', 'star', 'formation', 'in', 'extremely', 'compact', 'regions', 'median', 'r_rme', '070', 'pm', '029', 'kpc', 'and', 'it', 'is', 'in', 'all', 'cases', 'associated', 'with', 'the', 'most', 'massive', 'component', 'of', 'the', 'mergers', 'median', 'log', 'm_m_odot', '1049', 'pm', '032', 'we', 'compare', 'spatially', 'resolved', 'uv', 'slope', 'beta', 'maps', 'with', 'the', 'fir', 'dust', 'continuum', 'to', 'study', 'the', 'infrared', 'excess', 'rmirx', 'l_rmirl_rmuvbeta', 'relation', 'the', 'smgs', 'display', 'systematically', 'higher', 'rmirx', 'values', 'than', 'expected', 'from', 'the', 'nominal', 'trend', 'demonstrating', 'that', 'the', 'fir', 'and', 'uv', 'emissions', 'are', 'spatially', 'disconnected', 'finally', 'we', 'show', 'that', 'the', 'smgs', 'fall', 'on', 'the', 'masssize', 'plane', 'at', 'smaller', 'stellar', 'masses', 'and', 'sizes', 'than', 'cqgs', 'at', 'z', '2', 'taking', 'into', 'account', 'the', 'expected', 'evolution', 'in', 'stellar', 'mass', 'and', 'size', 'between', 'z', '45', 'and', 'z', '2', 'due', 'to', 'the', 'ongoing', 'starburst', 'and', 'mergers', 'with', 'minor', 'companions', 'this', 'is', 'in', 'agreement', 'with', 'a', 'direct', 'evolutionary', 'connection', 'between', 'the', 'two', 'populations']] | [-0.042658457565236806, 0.11598342452640838, -0.04213800311496497, 0.1261037439439823, -0.03855784882190984, -0.06397138467859015, 0.03598878929759029, 0.502541579798726, -0.0851794788967491, -0.3456465693706385, 0.04178107284684858, -0.3100932772340607, -0.010880697113538762, 0.1566450255292791, 0.005928310658433956, -0.06787686161729382, 0.00831517964901695, -0.17288093283302958, -0.07126420796637169, -0.284000440966819, 0.30556852666734263, 0.04565970543367896, 0.11451159085605048, -0.06054864373935525, 0.06478519237038395, -0.10273291515417335, -0.14324655357271063, -0.04946200336441755, -0.18920871708490997, 0.011453434459341705, 0.24674911504565192, 0.09274547055656136, 0.2179377192851687, -0.2862699964074531, -0.17374691135040293, 0.09503468447884406, 0.2121178366451655, -0.016224026195089187, -0.049409770553504415, -0.25075882361251245, 0.09030092131993002, -0.16495349594730546, -0.16624634471733493, 0.15333689383639038, 0.06351291499493167, -0.012088971241369597, -0.22136781780070372, 0.1912641228366189, -0.007506246115696762, 0.10577374104841435, -0.10914045766530912, -0.12593677235009101, -0.13104230996600374, 0.04564272861279286, -0.016556035975967956, 0.1418374658616121, 0.1977570837908155, -0.14030333728171607, -0.018238094995136966, 0.3845372812000819, -0.06784192341067617, 0.024680977008952026, 0.26537508350914374, -0.2550514932271586, -0.20198875919084472, 0.19816398426836496, 0.13323523446894442, 0.09085642708819514, -0.15279021581016963, 0.011421136588843401, -0.002186957539890485, 0.26524005168356185, 0.04889162557684501, 0.09582965740472081, 0.3702245755140354, 0.09414648654060592, 0.029923552355924112, 0.06354829897018811, -0.22951046191661018, -0.003595919877941112, -0.2355858338700919, -0.07180056722655753, -0.10526221709023807, 0.14914093276655133, -0.2069665189121209, -0.04641543316621428, 0.27805642862198104, 0.08304842175869656, 0.2601500759286082, 0.14743402864580035, 0.28788269423756535, 0.07973187259919864, 0.12958632220229335, 0.13761069909534762, 0.293763307800655, 0.1862683534758812, 0.04747209521510815, -0.23063461735656038, 0.01201873771126636, -0.020916939907407096] |
1,802.07752 | Type IIP supernova light curves affected by the acceleration of red
supergiant winds | We introduce the first synthetic light-curve model set of Type IIP supernovae
exploded within circumstellar media in which the acceleration of the red
supergiant winds is taken into account. Because wind acceleration makes the
wind velocities near the progenitors low, the density of the immediate vicinity
of the red supergiant supernova progenitors can be higher than that
extrapolated by using a constant terminal wind velocity. Therefore, even if the
mass-loss rate of the progenitor is relatively low, it can have a dense
circumstellar medium at the immediate stellar vicinity and the early light
curves of Type IIP supernovae are significantly affected by it. We adopt a
simple beta velocity law to formulate the wind acceleration. We provide
bolometric and multicolor light curves of Type IIP supernovae exploding within
such accelerated winds from the combinations of three progenitors, 12 - 16
Msun; five beta, 1-5; seven mass-loss rates, 1e-5 - 1e-2 Msun/yr; and four
explosion energies, 0.5e51 - 2e51 erg. All the light curve models are available
at https://goo.gl/o5phYb. When the circumstellar density is sufficiently high,
our models do not show a classical shock breakout as a consequence of the
interaction with the dense and optically-thick circumstellar media. Instead,
they show a delayed 'wind breakout', substantially affecting early light curves
of Type IIP supernovae. We find that the mass-loss rates of the progenitors
need to be 1e-3 - 1e-2 Msun/yr to explain typical rise times of 5 - 10 days in
Type IIP supernovae assuming a dense circumstellar radius of 1e15 cm.
| astro-ph.HE astro-ph.SR | we introduce the first synthetic lightcurve model set of type iip supernovae exploded within circumstellar media in which the acceleration of the red supergiant winds is taken into account because wind acceleration makes the wind velocities near the progenitors low the density of the immediate vicinity of the red supergiant supernova progenitors can be higher than that extrapolated by using a constant terminal wind velocity therefore even if the massloss rate of the progenitor is relatively low it can have a dense circumstellar medium at the immediate stellar vicinity and the early light curves of type iip supernovae are significantly affected by it we adopt a simple beta velocity law to formulate the wind acceleration we provide bolometric and multicolor light curves of type iip supernovae exploding within such accelerated winds from the combinations of three progenitors 12 16 msun five beta 15 seven massloss rates 1e5 1e2 msunyr and four explosion energies 05e51 2e51 erg all the light curve models are available at httpsgooglo5phyb when the circumstellar density is sufficiently high our models do not show a classical shock breakout as a consequence of the interaction with the dense and opticallythick circumstellar media instead they show a delayed wind breakout substantially affecting early light curves of type iip supernovae we find that the massloss rates of the progenitors need to be 1e3 1e2 msunyr to explain typical rise times of 5 10 days in type iip supernovae assuming a dense circumstellar radius of 1e15 cm | [['we', 'introduce', 'the', 'first', 'synthetic', 'lightcurve', 'model', 'set', 'of', 'type', 'iip', 'supernovae', 'exploded', 'within', 'circumstellar', 'media', 'in', 'which', 'the', 'acceleration', 'of', 'the', 'red', 'supergiant', 'winds', 'is', 'taken', 'into', 'account', 'because', 'wind', 'acceleration', 'makes', 'the', 'wind', 'velocities', 'near', 'the', 'progenitors', 'low', 'the', 'density', 'of', 'the', 'immediate', 'vicinity', 'of', 'the', 'red', 'supergiant', 'supernova', 'progenitors', 'can', 'be', 'higher', 'than', 'that', 'extrapolated', 'by', 'using', 'a', 'constant', 'terminal', 'wind', 'velocity', 'therefore', 'even', 'if', 'the', 'massloss', 'rate', 'of', 'the', 'progenitor', 'is', 'relatively', 'low', 'it', 'can', 'have', 'a', 'dense', 'circumstellar', 'medium', 'at', 'the', 'immediate', 'stellar', 'vicinity', 'and', 'the', 'early', 'light', 'curves', 'of', 'type', 'iip', 'supernovae', 'are', 'significantly', 'affected', 'by', 'it', 'we', 'adopt', 'a', 'simple', 'beta', 'velocity', 'law', 'to', 'formulate', 'the', 'wind', 'acceleration', 'we', 'provide', 'bolometric', 'and', 'multicolor', 'light', 'curves', 'of', 'type', 'iip', 'supernovae', 'exploding', 'within', 'such', 'accelerated', 'winds', 'from', 'the', 'combinations', 'of', 'three', 'progenitors', '12', '16', 'msun', 'five', 'beta', '15', 'seven', 'massloss', 'rates', '1e5', '1e2', 'msunyr', 'and', 'four', 'explosion', 'energies', '05e51', '2e51', 'erg', 'all', 'the', 'light', 'curve', 'models', 'are', 'available', 'at', 'httpsgooglo5phyb', 'when', 'the', 'circumstellar', 'density', 'is', 'sufficiently', 'high', 'our', 'models', 'do', 'not', 'show', 'a', 'classical', 'shock', 'breakout', 'as', 'a', 'consequence', 'of', 'the', 'interaction', 'with', 'the', 'dense', 'and', 'opticallythick', 'circumstellar', 'media', 'instead', 'they', 'show', 'a', 'delayed', 'wind', 'breakout', 'substantially', 'affecting', 'early', 'light', 'curves', 'of', 'type', 'iip', 'supernovae', 'we', 'find', 'that', 'the', 'massloss', 'rates', 'of', 'the', 'progenitors', 'need', 'to', 'be', '1e3', '1e2', 'msunyr', 'to', 'explain', 'typical', 'rise', 'times', 'of', '5', '10', 'days', 'in', 'type', 'iip', 'supernovae', 'assuming', 'a', 'dense', 'circumstellar', 'radius', 'of', '1e15', 'cm']] | [-0.059849351092621135, 0.14478219294376335, -0.028718584535237204, 0.13921143476699896, -0.1273060770621025, -0.11327252942693147, 0.06113186201517597, 0.4415666765452903, -0.18207204723807335, -0.2946616152431739, 0.08051135775742385, -0.2738916633416872, 0.0034461087554907848, 0.23182080700991622, -0.07052856540119246, -0.09358435109978228, 0.14172265846991275, -0.0772020093341039, -0.09746561141314805, -0.30054964356837266, 0.28808729595661836, 0.027436987872507593, 0.13292056256177004, -0.035283812379211556, 0.0751387039793525, -0.17177041541064472, 0.0003105389431440904, -0.08319055946321521, -0.13960519064355062, 0.012560536288713783, 0.1533834185070584, 0.16997162947515523, 0.21415572279274708, -0.424152348857419, -0.3154304892039348, 0.10952657572886765, 0.23632068801556289, 0.031267377949564586, -0.04920083783472813, -0.20388073770620635, 0.06255869597863452, -0.2677482340116928, -0.21338680324359288, 0.10672730056247041, 0.03394392027937397, 0.10090032747540424, -0.24769440313241609, 0.13790780000787212, -0.010032484472687108, 0.07151000563547766, -0.10494631717418447, -0.061184927349749174, -0.07812085455482817, -0.006651750718192638, 0.06887764778082094, 0.04058660757862062, 0.13860231807259957, -0.1577099447019797, 0.07179367387046416, 0.46640486063995235, -0.08258065801726341, 0.05497493860196828, 0.24187585897120903, -0.1934095461212804, -0.07906951479529464, 0.22821366414619387, 0.16623076279369783, 0.12261247560214812, -0.14795286325986234, -0.06998833619695781, 0.03324693071880137, 0.15854394613906986, 0.048245812933930335, 0.057293266808349924, 0.3095306603548427, 0.13651281017560987, -0.04211514095541994, 0.028080630963649066, -0.2202393926427136, 0.018028776548465585, -0.28576688739804573, -0.09378462967581648, -0.10890792890541914, 0.18880090021741253, -0.24552819935328024, -0.12513325441965964, 0.3018438509922214, 0.09737724567540258, 0.21464191858154633, 0.013258408284132894, 0.2852327989763101, 0.0932074896967898, 0.07132949082203853, 0.19020595628128162, 0.35343860324525844, 0.18009399358804026, 0.1451495230799625, -0.22100808748634296, 0.12138471050655524, 0.08038745252614354] |
1,802.07753 | Searching for propeller-phase ULXs in the XMM-Newton Serendipitous
Source Catalogue | We search for transient sources in a sample of ULXs from the 3XMM-DR4 release
of the XMM-Newton Serendipitous Source Catalogue in order to find candidate
neutron star ULXs alternating between an accreting state and the propeller
regime, in which the luminosity drops dramatically. By examining their fluxes
and flux upper limits, we identify five ULXs that demonstrate long-term
variability of over an order of magnitude. Using Chandra and Swift data to
further characterise their light curves, we find that two of these sources are
detected only once and could be X-ray binaries in outburst that only briefly
reach ULX luminosities. Two others are consistent with being super-Eddington
accreting sources with high levels of inter-observation variability. One
source, M51 ULX-4, demonstrates apparent bimodal flux behaviour that could
indicate the propeller regime. It has a hard X-ray spectrum, but no significant
pulsations in its timing data, although with an upper limit of 10% of the
signal pulsed at ~1.5 Hz a pulsating ULX cannot be excluded, particularly if
the pulsations are transient. By simulating XMM-Newton observations of a
population of pulsating ULXs, we predict that there could be approximately 200
other bimodal ULXs that have not been observed sufficiently well by XMM-Newton
to be identified as transient.
| astro-ph.HE | we search for transient sources in a sample of ulxs from the 3xmmdr4 release of the xmmnewton serendipitous source catalogue in order to find candidate neutron star ulxs alternating between an accreting state and the propeller regime in which the luminosity drops dramatically by examining their fluxes and flux upper limits we identify five ulxs that demonstrate longterm variability of over an order of magnitude using chandra and swift data to further characterise their light curves we find that two of these sources are detected only once and could be xray binaries in outburst that only briefly reach ulx luminosities two others are consistent with being supereddington accreting sources with high levels of interobservation variability one source m51 ulx4 demonstrates apparent bimodal flux behaviour that could indicate the propeller regime it has a hard xray spectrum but no significant pulsations in its timing data although with an upper limit of 10 of the signal pulsed at 15 hz a pulsating ulx cannot be excluded particularly if the pulsations are transient by simulating xmmnewton observations of a population of pulsating ulxs we predict that there could be approximately 200 other bimodal ulxs that have not been observed sufficiently well by xmmnewton to be identified as transient | [['we', 'search', 'for', 'transient', 'sources', 'in', 'a', 'sample', 'of', 'ulxs', 'from', 'the', '3xmmdr4', 'release', 'of', 'the', 'xmmnewton', 'serendipitous', 'source', 'catalogue', 'in', 'order', 'to', 'find', 'candidate', 'neutron', 'star', 'ulxs', 'alternating', 'between', 'an', 'accreting', 'state', 'and', 'the', 'propeller', 'regime', 'in', 'which', 'the', 'luminosity', 'drops', 'dramatically', 'by', 'examining', 'their', 'fluxes', 'and', 'flux', 'upper', 'limits', 'we', 'identify', 'five', 'ulxs', 'that', 'demonstrate', 'longterm', 'variability', 'of', 'over', 'an', 'order', 'of', 'magnitude', 'using', 'chandra', 'and', 'swift', 'data', 'to', 'further', 'characterise', 'their', 'light', 'curves', 'we', 'find', 'that', 'two', 'of', 'these', 'sources', 'are', 'detected', 'only', 'once', 'and', 'could', 'be', 'xray', 'binaries', 'in', 'outburst', 'that', 'only', 'briefly', 'reach', 'ulx', 'luminosities', 'two', 'others', 'are', 'consistent', 'with', 'being', 'supereddington', 'accreting', 'sources', 'with', 'high', 'levels', 'of', 'interobservation', 'variability', 'one', 'source', 'm51', 'ulx4', 'demonstrates', 'apparent', 'bimodal', 'flux', 'behaviour', 'that', 'could', 'indicate', 'the', 'propeller', 'regime', 'it', 'has', 'a', 'hard', 'xray', 'spectrum', 'but', 'no', 'significant', 'pulsations', 'in', 'its', 'timing', 'data', 'although', 'with', 'an', 'upper', 'limit', 'of', '10', 'of', 'the', 'signal', 'pulsed', 'at', '15', 'hz', 'a', 'pulsating', 'ulx', 'can', 'not', 'be', 'excluded', 'particularly', 'if', 'the', 'pulsations', 'are', 'transient', 'by', 'simulating', 'xmmnewton', 'observations', 'of', 'a', 'population', 'of', 'pulsating', 'ulxs', 'we', 'predict', 'that', 'there', 'could', 'be', 'approximately', '200', 'other', 'bimodal', 'ulxs', 'that', 'have', 'not', 'been', 'observed', 'sufficiently', 'well', 'by', 'xmmnewton', 'to', 'be', 'identified', 'as', 'transient']] | [-0.08173525920166157, 0.14284127059288992, -0.071995917687238, 0.1253584809737598, -0.12941884274889784, -0.10349604308196321, 0.11598517610805063, 0.4684234888724438, -0.16378757687421833, -0.3829667119025366, 0.13641715022137604, -0.3604578476007346, -0.0025650736625965048, 0.28731819156716326, -0.048236410987631574, -0.025945468163174553, 0.08424397455641955, -0.058730413115060914, -0.01280182569128711, -0.27843513699850386, 0.2384924702874453, 0.04268503041097486, 0.15118368685631672, -0.04460890699950297, 0.07482488008284169, -0.11387155114604933, -0.036698371269910525, -0.038663466735856564, -0.07517356801339391, -0.0010278493438552066, 0.293058280000554, 0.11044340111292535, 0.17700828434672297, -0.364871847792919, -0.24367909374740543, 0.09846788710437533, 0.21467261875457153, -0.00895351776583461, -0.03083640924405034, -0.2592145446369924, 0.08033109972844037, -0.23211641875890696, -0.15544032451537687, -0.00827788876415026, 0.06922222012426794, 0.07262195480487696, -0.15774270871018128, 0.1235040952036975, 0.03689618453144936, 0.03697751838367478, -0.17014232572372548, -0.038584026301892976, -0.02807062805811988, 0.05083101475611329, 0.09176666925763484, 0.05878775949340041, 0.1221488090334233, -0.15241279083690265, -0.11821704692229992, 0.3208582097119311, -0.06289094168261239, 0.037713889934395145, 0.20065922023864782, -0.23635335929873513, -0.22032382219416521, 0.1867138249299875, 0.12150076737104938, 0.09844426618116658, -0.20186904348069576, -0.037486541694847914, -0.022703153653660924, 0.29834162738776154, 0.05512551873831487, 0.09302217294064509, 0.3363191343707646, 0.1211406206871133, 0.006375525284149661, 0.16640377148088614, -0.2645953419959036, 0.025166348789296137, -0.24191760865789724, -0.01699000204141002, -0.14042601577693414, 0.12083249461266393, -0.11081990756111493, -0.13004396874145263, 0.33549210303349464, 0.10648264290038043, 0.17120113378708682, -0.0072015893645584585, 0.2527465987263429, 0.15180488925415841, 0.05355612353944197, 0.1683407205043406, 0.3713763976424206, 0.09637877120545543, 0.08473359133491701, -0.2177349215566476, 0.08899393583273106, -0.0598450620204392] |
1,802.07754 | ALICE Data Release: A revaluation of HST-NICMOS coronagraphic images | The Hubble Space Telescope (HST) NICMOS instrument has been used from 1997 to
2008 to perform coronagraphic observations of about 400 targets. Most of them
were part of surveys looking for substellar companions or resolved
circumstellar disks to young nearby stars, making the NICMOS coronagraphic
archive a valuable database for exoplanets and disks studies. As part of the
Archival Legacy Investigations of Circumstellar Environments (ALICE) program,
we have consistently re-processed a large fraction of the NICMOS coronagrahic
archive using advanced PSF subtraction methods. We present here the high-level
science products of these re-analyzed data, which we delivered back to the
community through the Mikulski Archive for Space Telescopes (MAST)
http://dx.doi.org/10.17909/T9W89V . We also present the second version of the
HCI-FITS format (for High-Contrast Imaging FITS format), which we developed as
a standard format for data exchange of imaging reduced science products. These
re-analyzed products are openly available for population statistics studies,
characterization of specific targets, or detected point source identification.
| astro-ph.EP astro-ph.IM | the hubble space telescope hst nicmos instrument has been used from 1997 to 2008 to perform coronagraphic observations of about 400 targets most of them were part of surveys looking for substellar companions or resolved circumstellar disks to young nearby stars making the nicmos coronagraphic archive a valuable database for exoplanets and disks studies as part of the archival legacy investigations of circumstellar environments alice program we have consistently reprocessed a large fraction of the nicmos coronagrahic archive using advanced psf subtraction methods we present here the highlevel science products of these reanalyzed data which we delivered back to the community through the mikulski archive for space telescopes mast httpdxdoiorg1017909t9w89v we also present the second version of the hcifits format for highcontrast imaging fits format which we developed as a standard format for data exchange of imaging reduced science products these reanalyzed products are openly available for population statistics studies characterization of specific targets or detected point source identification | [['the', 'hubble', 'space', 'telescope', 'hst', 'nicmos', 'instrument', 'has', 'been', 'used', 'from', '1997', 'to', '2008', 'to', 'perform', 'coronagraphic', 'observations', 'of', 'about', '400', 'targets', 'most', 'of', 'them', 'were', 'part', 'of', 'surveys', 'looking', 'for', 'substellar', 'companions', 'or', 'resolved', 'circumstellar', 'disks', 'to', 'young', 'nearby', 'stars', 'making', 'the', 'nicmos', 'coronagraphic', 'archive', 'a', 'valuable', 'database', 'for', 'exoplanets', 'and', 'disks', 'studies', 'as', 'part', 'of', 'the', 'archival', 'legacy', 'investigations', 'of', 'circumstellar', 'environments', 'alice', 'program', 'we', 'have', 'consistently', 'reprocessed', 'a', 'large', 'fraction', 'of', 'the', 'nicmos', 'coronagrahic', 'archive', 'using', 'advanced', 'psf', 'subtraction', 'methods', 'we', 'present', 'here', 'the', 'highlevel', 'science', 'products', 'of', 'these', 'reanalyzed', 'data', 'which', 'we', 'delivered', 'back', 'to', 'the', 'community', 'through', 'the', 'mikulski', 'archive', 'for', 'space', 'telescopes', 'mast', 'httpdxdoiorg1017909t9w89v', 'we', 'also', 'present', 'the', 'second', 'version', 'of', 'the', 'hcifits', 'format', 'for', 'highcontrast', 'imaging', 'fits', 'format', 'which', 'we', 'developed', 'as', 'a', 'standard', 'format', 'for', 'data', 'exchange', 'of', 'imaging', 'reduced', 'science', 'products', 'these', 'reanalyzed', 'products', 'are', 'openly', 'available', 'for', 'population', 'statistics', 'studies', 'characterization', 'of', 'specific', 'targets', 'or', 'detected', 'point', 'source', 'identification']] | [-0.044635814328033194, 0.029353064896825414, -0.10874227246788976, 0.07077765997606687, -0.17342031305918518, -0.06686030571701196, 0.058145446717762984, 0.43672255084339456, -0.20806010852594717, -0.37760414069709486, 0.17778615755751395, -0.30876941854456585, -0.043740214503859766, 0.23812770508774497, -0.04662042719204552, 0.03941503140063455, 0.20859990013130486, -0.13779655922777378, -0.007110115418282266, -0.3153445658703836, 0.27568190922745717, 0.14987288090513828, 0.1443930865916161, -0.08845418848646566, 0.06626586759767424, 0.004022836049373906, -0.19731728794077077, -0.039708031920152, -0.17394312241902718, 0.08229468264912262, 0.33477165514024165, 0.2361933474222986, 0.2087780481789452, -0.36395897189429843, -0.1879822564048645, 0.050217689955248855, 0.1571381844024962, 0.0212022885426473, -0.05343815241343318, -0.35062331510468936, 0.004475322883361234, -0.17931815784854385, -0.14965422239262038, -0.051468200635356016, 0.01479266085721648, -0.003921507648789348, -0.2318769977428019, -0.017047681616811763, -0.06101485777150792, 0.15623456104218256, -0.16416260740385416, -0.16247240465600044, -0.02550302268952155, 0.15259103840873697, -0.04797067152610861, 0.053916063389549844, 0.11011710389553067, -0.1690702649816208, -0.04385956408021649, 0.3595410433645623, -0.07545449506963053, -0.008090809020452583, 0.19547111484522853, -0.19607666260204637, -0.1980858519106196, 0.15781753196810874, 0.198553114099643, 0.13667204479077974, -0.22102600472191206, 0.05685528462643747, -0.035976075915058546, 0.22942413415596372, 0.07653315285055075, 0.08223733308580286, 0.26602282165549695, 0.12387686056526712, -0.011932332267931018, 0.13348041157512805, -0.27888930542263923, -0.016339527202758174, -0.22233171432685012, -0.1513714611184043, -0.16915487703413534, 0.042910777420426406, -0.036332464908180276, -0.10363690010630168, 0.294432407997262, 0.13764468713475836, 0.09764088556552544, 0.0012599617460718714, 0.3738073725730945, -0.024948667895305567, 0.17181051612939113, 0.05603040627036721, 0.2898322608298025, 0.09947636554865405, 0.20349129767512353, -0.09369510528053163, 0.022783900091711145, -0.006311434540317024] |
1,802.07755 | Emergent light crystal from frustration and pump engineering | We demonstrate how pump engineering drives the emergence of
frustration-induced quasi-long-range order in a low-dimensional photonic cavity
array. We consider a Lieb chain of nonlinear cavities as described by the
Bose-Hubbard model and featuring a photonic flat band in the single-particle
spectrum. Incoherent pumping of the Lieb lattice leads to a photonic
density-wave which manifests an algebraic decay of correlations with twice the
period of the lattice unit cell. This work opens up new directions for the
emergence of strongly-correlated phases in quantum optical frustrated systems
through pump design.
| cond-mat.quant-gas | we demonstrate how pump engineering drives the emergence of frustrationinduced quasilongrange order in a lowdimensional photonic cavity array we consider a lieb chain of nonlinear cavities as described by the bosehubbard model and featuring a photonic flat band in the singleparticle spectrum incoherent pumping of the lieb lattice leads to a photonic densitywave which manifests an algebraic decay of correlations with twice the period of the lattice unit cell this work opens up new directions for the emergence of stronglycorrelated phases in quantum optical frustrated systems through pump design | [['we', 'demonstrate', 'how', 'pump', 'engineering', 'drives', 'the', 'emergence', 'of', 'frustrationinduced', 'quasilongrange', 'order', 'in', 'a', 'lowdimensional', 'photonic', 'cavity', 'array', 'we', 'consider', 'a', 'lieb', 'chain', 'of', 'nonlinear', 'cavities', 'as', 'described', 'by', 'the', 'bosehubbard', 'model', 'and', 'featuring', 'a', 'photonic', 'flat', 'band', 'in', 'the', 'singleparticle', 'spectrum', 'incoherent', 'pumping', 'of', 'the', 'lieb', 'lattice', 'leads', 'to', 'a', 'photonic', 'densitywave', 'which', 'manifests', 'an', 'algebraic', 'decay', 'of', 'correlations', 'with', 'twice', 'the', 'period', 'of', 'the', 'lattice', 'unit', 'cell', 'this', 'work', 'opens', 'up', 'new', 'directions', 'for', 'the', 'emergence', 'of', 'stronglycorrelated', 'phases', 'in', 'quantum', 'optical', 'frustrated', 'systems', 'through', 'pump', 'design']] | [-0.2145753606756249, 0.24666200441800795, -0.029834851538867092, -0.012955290317702829, -0.030341657380876918, -0.19617723853568012, 0.059218263666909396, 0.40396005643552607, -0.2804671319756196, -0.21496190833780662, 0.01726700957691862, -0.267770562404662, -0.16029506927654358, 0.17860267587330486, 0.045284355258087765, 0.06077311035661613, -0.023441361859859376, -0.10391051952172531, -0.08036557638892129, -0.15985617129749546, 0.2540950287536331, 0.014871246310924128, 0.33164799015634183, 0.04054898418632619, 0.07722076367628708, 0.028825685392353643, 0.11204055237702848, -0.06922162016539761, -0.13750913056932138, 0.12854063195919388, 0.25298827686713315, -0.08702162058835619, 0.24571364218097055, -0.4470977218968145, -0.22535335759271272, 0.044123983083899775, 0.18414369621575716, 0.17564520384629748, -0.030201145071075873, -0.30480816968706215, -0.06817661433773681, -0.1983365571555378, -0.1882520923757235, -0.10550520078833686, -0.044486235366778426, -0.013425061283005255, -0.21890124229693345, 0.07983312402653057, 0.08245143822781491, 0.10017128360687932, -0.0479764048575183, 0.0036733748686887074, -0.03406287582716747, 0.036452100429097925, -0.05482249321635771, 0.016608144779260575, 0.10855205420906959, -0.1337847798994711, -0.204021982804171, 0.41641347108178595, -0.04401984458836319, -0.10753182167961692, 0.1377052856881297, -0.16308276392169574, -0.03598465325227112, 0.14438090548756416, 0.16055255159447912, -0.0068601968311024514, -0.07181892726109938, 0.09351988905837061, -0.056439201289976246, 0.21119449762470519, 0.03916953855424366, 0.14492071577899807, 0.26737812427500407, 0.245291492710769, 0.0745577745144831, 0.27508273772016334, -0.07769272104952107, -0.13909757498316885, -0.25556286757163116, -0.1533695523927297, -0.24938932573946004, 0.08769448621596178, -0.061928704255253986, -0.214962809126866, 0.4900431226143676, 0.10245226744760923, 0.15727219443893833, -0.060302108381037715, 0.21055962653893434, 0.12136423989497334, 0.07030007496866622, 0.025373342562090145, 0.2517593775907259, 0.1829213363934685, 0.1121572726301514, -0.28569263279872287, -0.0641149159081364, 0.030291303395806404] |
1,802.07756 | Determining the best classifier for predicting the value of a boolean
field on a blood donor database using genetic algorithms | Motivation: Thanks to digitization, we often have access to large databases,
consisting of various fields of information, ranging from numbers to texts and
even boolean values. Such databases lend themselves especially well to machine
learning, classification and big data analysis tasks. We are able to train
classifiers, using already existing data and use them for predicting the values
of a certain field, given that we have information regarding the other fields.
Most specifically, in this study, we look at the Electronic Health Records
(EHRs) that are compiled by hospitals. These EHRs are convenient means of
accessing data of individual patients, but there processing as a whole still
remains a task. However, EHRs that are composed of coherent, well-tabulated
structures lend themselves quite well to the application to machine language,
via the usage of classifiers. In this study, we look at a Blood Transfusion
Service Center Data Set (Data taken from the Blood Transfusion Service Center
in Hsin-Chu City in Taiwan). We used scikit-learn machine learning in python.
From Support Vector Machines(SVM), we use Support Vector Classification(SVC),
from the linear model we import Perceptron. We also used the
K.neighborsclassifier and the decision tree classifiers. Furthermore, we use
the TPOT library to find an optimized pipeline using genetic algorithms. Using
the above classifiers, we score each one of them using k fold cross-validation.
Contact: ritabratamaiti@hiretrex.com GitHub Repository:
https://github.com/ritabratamaiti/Blooddonorprediction
| stat.ML cs.LG | motivation thanks to digitization we often have access to large databases consisting of various fields of information ranging from numbers to texts and even boolean values such databases lend themselves especially well to machine learning classification and big data analysis tasks we are able to train classifiers using already existing data and use them for predicting the values of a certain field given that we have information regarding the other fields most specifically in this study we look at the electronic health records ehrs that are compiled by hospitals these ehrs are convenient means of accessing data of individual patients but there processing as a whole still remains a task however ehrs that are composed of coherent welltabulated structures lend themselves quite well to the application to machine language via the usage of classifiers in this study we look at a blood transfusion service center data set data taken from the blood transfusion service center in hsinchu city in taiwan we used scikitlearn machine learning in python from support vector machinessvm we use support vector classificationsvc from the linear model we import perceptron we also used the kneighborsclassifier and the decision tree classifiers furthermore we use the tpot library to find an optimized pipeline using genetic algorithms using the above classifiers we score each one of them using k fold crossvalidation contact ritabratamaitihiretrexcom github repository httpsgithubcomritabratamaitiblooddonorprediction | [['motivation', 'thanks', 'to', 'digitization', 'we', 'often', 'have', 'access', 'to', 'large', 'databases', 'consisting', 'of', 'various', 'fields', 'of', 'information', 'ranging', 'from', 'numbers', 'to', 'texts', 'and', 'even', 'boolean', 'values', 'such', 'databases', 'lend', 'themselves', 'especially', 'well', 'to', 'machine', 'learning', 'classification', 'and', 'big', 'data', 'analysis', 'tasks', 'we', 'are', 'able', 'to', 'train', 'classifiers', 'using', 'already', 'existing', 'data', 'and', 'use', 'them', 'for', 'predicting', 'the', 'values', 'of', 'a', 'certain', 'field', 'given', 'that', 'we', 'have', 'information', 'regarding', 'the', 'other', 'fields', 'most', 'specifically', 'in', 'this', 'study', 'we', 'look', 'at', 'the', 'electronic', 'health', 'records', 'ehrs', 'that', 'are', 'compiled', 'by', 'hospitals', 'these', 'ehrs', 'are', 'convenient', 'means', 'of', 'accessing', 'data', 'of', 'individual', 'patients', 'but', 'there', 'processing', 'as', 'a', 'whole', 'still', 'remains', 'a', 'task', 'however', 'ehrs', 'that', 'are', 'composed', 'of', 'coherent', 'welltabulated', 'structures', 'lend', 'themselves', 'quite', 'well', 'to', 'the', 'application', 'to', 'machine', 'language', 'via', 'the', 'usage', 'of', 'classifiers', 'in', 'this', 'study', 'we', 'look', 'at', 'a', 'blood', 'transfusion', 'service', 'center', 'data', 'set', 'data', 'taken', 'from', 'the', 'blood', 'transfusion', 'service', 'center', 'in', 'hsinchu', 'city', 'in', 'taiwan', 'we', 'used', 'scikitlearn', 'machine', 'learning', 'in', 'python', 'from', 'support', 'vector', 'machinessvm', 'we', 'use', 'support', 'vector', 'classificationsvc', 'from', 'the', 'linear', 'model', 'we', 'import', 'perceptron', 'we', 'also', 'used', 'the', 'kneighborsclassifier', 'and', 'the', 'decision', 'tree', 'classifiers', 'furthermore', 'we', 'use', 'the', 'tpot', 'library', 'to', 'find', 'an', 'optimized', 'pipeline', 'using', 'genetic', 'algorithms', 'using', 'the', 'above', 'classifiers', 'we', 'score', 'each', 'one', 'of', 'them', 'using', 'k', 'fold', 'crossvalidation', 'contact', 'ritabratamaitihiretrexcom', 'github', 'repository', 'httpsgithubcomritabratamaitiblooddonorprediction']] | [-0.058836248580138834, 0.011161835143006598, -0.07787284974236337, 0.0988214945579371, -0.12187304378339005, -0.1553689305204898, 0.09869832967154005, 0.43734369117724287, -0.28046902264732954, -0.31644517509266734, 0.129872275052317, -0.324150706387379, -0.13682375902267682, 0.23263939251826907, -0.08264379856938665, 0.07484999159311304, 0.11903809089668688, 0.07739063444843686, -0.0009097550889815796, -0.2888153232210739, 0.3124000266448341, 0.028052353418686175, 0.331329466950741, -0.016822493664750998, 0.06843610148855739, 0.021423296835167673, -0.045597645055121656, -0.0013926862739026546, -0.08514261235934761, 0.17786943014547102, 0.3826601681617004, 0.24604942926390239, 0.30767210135236384, -0.42220997844230046, -0.15069739973405377, 0.10313013400882483, 0.11422879073824416, 0.14043650417059492, -0.03536419450220737, -0.29646890134635295, 0.0915490336689717, -0.17793915483529088, -0.029282402119265912, -0.15967302744869483, -0.03526360617605943, 0.02456810367452404, -0.23906853564284658, 0.011086871039879043, -0.0031903249095194043, 0.15322652001949874, -0.07706781523037617, -0.14653158264276994, -0.020405607787490062, 0.2042999718571082, 0.047934978086480194, 0.036528957083778964, 0.16652757197364487, -0.15048908848442477, -0.1287255227825054, 0.3748634519521147, -0.03832976114724509, -0.15656253875825893, 0.21373684722083536, -0.058480665950231596, -0.18838024918011137, 0.07574572776317258, 0.2590713211753279, 0.04822134522043846, -0.19679697138595986, 0.01599409359570762, -0.020859205680475994, 0.1671813643452796, 0.07785978340543806, -0.022477793210948057, 0.18809078229400752, 0.20517430218698626, -0.033881862754721874, 0.1331632333259966, -0.10382748016140382, -0.03844309791668572, -0.21687783048572865, -0.12748349717267873, -0.15104074804932513, 0.015437333794331855, -0.061445661773111414, -0.16926314706744797, 0.3620738582346927, 0.21376999791669235, 0.17935570388482036, 0.0586701684567908, 0.3053353594785387, 0.012551749513593016, 0.15871589495800437, 0.13958183952940587, 0.12809713709866627, 0.04752219711028209, 0.1532929285217754, -0.10487616508034989, 0.057723338089206, -0.03312077319291844] |
1,802.07757 | Pointwise a posteriori error bounds for blow-up in the semilinear heat
equation | This work is concerned with the development of a space-time adaptive
numerical method, based on a rigorous a posteriori error bound, for the
semilinear heat equation with a general local Lipschitz reaction term whose
solution may blow-up in finite time. More specifically, conditional a
posteriori error bounds are derived in the $L^{\infty}L^{\infty}$ norm for a
first order in time, implicit-explicit (IMEX), conforming finite element method
in space discretization of the problem. Numerical experiments applied to both
blow-up and non blow-up cases highlight the generality of our approach and
complement the theoretical results.
| math.NA | this work is concerned with the development of a spacetime adaptive numerical method based on a rigorous a posteriori error bound for the semilinear heat equation with a general local lipschitz reaction term whose solution may blowup in finite time more specifically conditional a posteriori error bounds are derived in the linftylinfty norm for a first order in time implicitexplicit imex conforming finite element method in space discretization of the problem numerical experiments applied to both blowup and non blowup cases highlight the generality of our approach and complement the theoretical results | [['this', 'work', 'is', 'concerned', 'with', 'the', 'development', 'of', 'a', 'spacetime', 'adaptive', 'numerical', 'method', 'based', 'on', 'a', 'rigorous', 'a', 'posteriori', 'error', 'bound', 'for', 'the', 'semilinear', 'heat', 'equation', 'with', 'a', 'general', 'local', 'lipschitz', 'reaction', 'term', 'whose', 'solution', 'may', 'blowup', 'in', 'finite', 'time', 'more', 'specifically', 'conditional', 'a', 'posteriori', 'error', 'bounds', 'are', 'derived', 'in', 'the', 'linftylinfty', 'norm', 'for', 'a', 'first', 'order', 'in', 'time', 'implicitexplicit', 'imex', 'conforming', 'finite', 'element', 'method', 'in', 'space', 'discretization', 'of', 'the', 'problem', 'numerical', 'experiments', 'applied', 'to', 'both', 'blowup', 'and', 'non', 'blowup', 'cases', 'highlight', 'the', 'generality', 'of', 'our', 'approach', 'and', 'complement', 'the', 'theoretical', 'results']] | [-0.0958346068775585, -0.021908156650011813, -0.11292857563935484, 0.06362248430251265, -0.0934932773284938, -0.14765963651766273, 0.06487265310589345, 0.32617203538994427, -0.26034444717325916, -0.21979967275958345, 0.15343006431003628, -0.2527003564730125, -0.11784802034051846, 0.22424487038464894, -0.09226175153668484, 0.15945949203982626, 0.09508692942124428, 0.022534267005065212, -0.13003361114786696, -0.27531119160678075, 0.3283204838390584, 0.02211469059377281, 0.2556314344578625, 0.05262671778504939, 0.11662978888489306, -0.10051419050938895, -0.06735561300656231, 0.021072754194609963, -0.18989017123670276, 0.12077493053410486, 0.2839671811291381, 0.055385728837395815, 0.36025738729285484, -0.4195123718970496, -0.258329547557008, 0.11444453293781566, 0.14879028401438796, 0.14433164581777932, -0.09078826670457088, -0.3005648721009493, 0.08216688462593795, -0.134252958667829, -0.1297054198347842, -0.08749375739337309, -0.03355057427720369, 0.04423857430178348, -0.33642416032355116, 0.1126474320291258, 0.08186502998654285, 0.0872842059875636, -0.10369971106157881, -0.09243162166018484, 0.03880933771142736, 0.04240288890635028, 0.017990076663883647, 0.011911154331439478, 0.0034416024066993723, -0.03547148282751036, -0.09060899154238818, 0.3459434246077486, -0.09746930951318379, -0.31693421877444844, 0.12844482296065468, -0.09743908194460622, -0.10747912033137096, 0.1397700404100444, 0.2141500050505704, 0.2096631962340325, -0.10501453629694879, 0.10901781212938343, -0.010242730470212258, 0.14292678928367145, 0.03673507930437589, -0.01898831958343457, 0.020887135120574385, 0.2156775355156835, 0.17092467788682805, 0.08414354716154301, -0.03841333549581063, -0.13040339784777683, -0.419533995911479, -0.16218289086638202, -0.17919880308656264, 0.01230393825908718, -0.1467526577733857, -0.20112363986908863, 0.35929765853443707, 0.13867652535301875, 0.10239315392328022, 0.14642493508796653, 0.3307368099365545, 0.15765693270140732, -0.05097802742586836, 0.09680359872847634, 0.19846923156570562, 0.15672019170344118, 0.09712571409308231, -0.2683352074160686, 0.07093502083064421, 0.21882444344278748] |
1,802.07758 | Double resummation for Higgs production | We present the first double-resummed prediction of the inclusive cross
section for the main Higgs production channel in proton-proton collisions,
namely gluon fusion. Our calculation incorporates to all orders in perturbation
theory two distinct towers of logarithmic corrections which are enhanced,
respectively, at threshold, i.e. large x, and in the high-energy limit, i.e.
small x. Large-x logarithms are resummed to next-to-next-to-next-to-leading
logarithmic accuracy, while small-x ones to leading logarithmic accuracy. The
double-resummed cross section is furthermore matched to the state-of-the-art
fixed-order prediction at next-to-next-to-next-to-leading accuracy. We find
that double resummation corrects the Higgs production rate by 2% at the
currently explored center-of-mass energy of 13 TeV and its impact reaches 10%
at future circular colliders at 100 TeV.
| hep-ph | we present the first doubleresummed prediction of the inclusive cross section for the main higgs production channel in protonproton collisions namely gluon fusion our calculation incorporates to all orders in perturbation theory two distinct towers of logarithmic corrections which are enhanced respectively at threshold ie large x and in the highenergy limit ie small x largex logarithms are resummed to nexttonexttonexttoleading logarithmic accuracy while smallx ones to leading logarithmic accuracy the doubleresummed cross section is furthermore matched to the stateoftheart fixedorder prediction at nexttonexttonexttoleading accuracy we find that double resummation corrects the higgs production rate by 2 at the currently explored centerofmass energy of 13 tev and its impact reaches 10 at future circular colliders at 100 tev | [['we', 'present', 'the', 'first', 'doubleresummed', 'prediction', 'of', 'the', 'inclusive', 'cross', 'section', 'for', 'the', 'main', 'higgs', 'production', 'channel', 'in', 'protonproton', 'collisions', 'namely', 'gluon', 'fusion', 'our', 'calculation', 'incorporates', 'to', 'all', 'orders', 'in', 'perturbation', 'theory', 'two', 'distinct', 'towers', 'of', 'logarithmic', 'corrections', 'which', 'are', 'enhanced', 'respectively', 'at', 'threshold', 'ie', 'large', 'x', 'and', 'in', 'the', 'highenergy', 'limit', 'ie', 'small', 'x', 'largex', 'logarithms', 'are', 'resummed', 'to', 'nexttonexttonexttoleading', 'logarithmic', 'accuracy', 'while', 'smallx', 'ones', 'to', 'leading', 'logarithmic', 'accuracy', 'the', 'doubleresummed', 'cross', 'section', 'is', 'furthermore', 'matched', 'to', 'the', 'stateoftheart', 'fixedorder', 'prediction', 'at', 'nexttonexttonexttoleading', 'accuracy', 'we', 'find', 'that', 'double', 'resummation', 'corrects', 'the', 'higgs', 'production', 'rate', 'by', '2', 'at', 'the', 'currently', 'explored', 'centerofmass', 'energy', 'of', '13', 'tev', 'and', 'its', 'impact', 'reaches', '10', 'at', 'future', 'circular', 'colliders', 'at', '100', 'tev']] | [-0.08200712841212877, 0.1376739434540625, -0.07115904168739658, 0.1606983974794777, 0.023668308308797664, -0.09322906942317535, -0.011362636216227687, 0.3378151664992088, -0.20218292723313488, -0.2897492649298611, -0.01200875060147092, -0.3931385808351353, 0.06442703261714557, 0.13870918345316474, 0.05678399281118643, 0.1273355066273482, 0.09034635459377977, 0.05082856840454042, -0.04652031058453601, -0.31509034947395836, 0.29914838478374617, 0.11436947187055545, 0.2256563221413546, 0.2131101823700913, 0.10915752251006278, 0.05174627576368572, -0.045677815872075936, -0.07456327820646352, -0.1289702959716594, 0.0852353185506092, 0.305580068572328, -0.03960876905857104, 0.15846974963065366, -0.3142877069948209, -0.07274533801808439, 0.059828335467469074, 0.16161936200585153, 0.0947988847208386, 0.013007208279430353, -0.22786822268771456, 0.18206957234260385, -0.2910030374528262, -0.1401192843352027, -0.08348026511998012, -0.025063139948480088, -0.05210391819880521, -0.317828722169687, 0.11187807592996878, -0.05819764811995214, -0.004774253185164055, 0.033280126243661126, -0.21324846125207841, -0.07355290966244929, 0.034497875134171595, 0.10291706125557037, 0.08831171013398803, 0.19305172884949193, -0.2247992970846224, -0.1980795079023288, 0.33710333223229855, -0.08179963787150538, -0.07954007995330953, 0.1341400257485381, -0.2583390399452363, -0.1487600286290499, 0.2336608769115189, 0.26458222227741096, 0.09963772664396574, -0.15135308015079976, 0.14093307620376058, 0.09107881593357386, 0.1653791452830272, 0.15843183749580178, 0.05928675332186936, 0.1290364456282736, 0.2184246229027912, -0.017717475296351416, 0.031755141946005414, -0.13411080670253983, -0.10929331109770735, -0.4821047644885578, -0.03260311014661244, -0.011403058110615882, 0.030703547222997417, -0.12201827147886245, -0.06919269789520105, 0.33147902993870704, 0.13598008626537067, 0.2760001246652823, 0.08741897059873485, 0.3502382569271943, 0.13372000665022543, 0.09072433780589752, 0.10462699847392223, 0.34981024393747595, 0.08991066576182392, 0.09526204804143194, -0.19274961483335637, -0.0055074913644007056, 0.10239403127243035] |
1,802.07759 | Non-asymptotic Error Bounds For Constant Stepsize Stochastic
Approximation For Tracking Mobile Agents | This work revisits the constant stepsize stochastic approximation algorithm
for tracking a slowly moving target and obtains a bound for the tracking error
that is valid for the entire time axis, using the Alekseev non-linear variation
of constants formula. It is the first non-asymptptic bound for the entire time
axis in the sense that it is not based on the vanishing stepsize limit and
associated limit theorems unlike prior works, and captures clearly the
dependence on problem parameters and the dimension.
| eess.SP | this work revisits the constant stepsize stochastic approximation algorithm for tracking a slowly moving target and obtains a bound for the tracking error that is valid for the entire time axis using the alekseev nonlinear variation of constants formula it is the first nonasymptptic bound for the entire time axis in the sense that it is not based on the vanishing stepsize limit and associated limit theorems unlike prior works and captures clearly the dependence on problem parameters and the dimension | [['this', 'work', 'revisits', 'the', 'constant', 'stepsize', 'stochastic', 'approximation', 'algorithm', 'for', 'tracking', 'a', 'slowly', 'moving', 'target', 'and', 'obtains', 'a', 'bound', 'for', 'the', 'tracking', 'error', 'that', 'is', 'valid', 'for', 'the', 'entire', 'time', 'axis', 'using', 'the', 'alekseev', 'nonlinear', 'variation', 'of', 'constants', 'formula', 'it', 'is', 'the', 'first', 'nonasymptptic', 'bound', 'for', 'the', 'entire', 'time', 'axis', 'in', 'the', 'sense', 'that', 'it', 'is', 'not', 'based', 'on', 'the', 'vanishing', 'stepsize', 'limit', 'and', 'associated', 'limit', 'theorems', 'unlike', 'prior', 'works', 'and', 'captures', 'clearly', 'the', 'dependence', 'on', 'problem', 'parameters', 'and', 'the', 'dimension']] | [-0.11953077021753415, 0.06644751696439925, -0.09626663182280026, 0.05648449089494534, -0.08495349676231853, -0.14565020980662666, 0.08119927705374722, 0.34665638306178154, -0.23378609390347266, -0.26541454074904325, 0.12938308011653135, -0.22537657720968127, -0.13404007845092564, 0.2406008780701086, -0.06518478929065168, 0.07026508537237533, 0.06588547634019051, 0.0711840047268197, -0.0731770423531998, -0.23578234675806015, 0.29599422705359757, 0.0621696023910772, 0.2861957632470876, 0.04261938639683649, 0.1622013955959119, 0.05574819858302362, -0.005403812089934945, -0.012165389547590166, -0.13384701835257146, 0.07493860658578341, 0.18040263774164486, 0.09128771402465645, 0.28227669512853026, -0.3237141631077975, -0.1918065803940408, 0.09520212212810293, 0.15108711561151722, 0.11612282211426646, -0.013814229055424222, -0.23565515375812537, 0.06826233876636252, -0.07852386594167911, -0.1673060794462799, -0.04970295925159007, 0.06569234617054462, 0.02110220966860652, -0.3093518278154079, 0.12148853329126723, 0.14659308161353693, 0.002970687113702297, -0.10451940976636251, -0.09747928889119066, 0.05949596858699806, 0.13059341245534598, 0.10371746032324154, 0.0734532266331371, 0.125123086781241, -0.07547735306143295, -0.07744109794875839, 0.3341644901840482, -0.11293382241856306, -0.25698428477626295, 0.10419286294199992, -0.10436001240741462, -0.13650579211243893, 0.13463077489868738, 0.13845931292744354, 0.20284087019972502, -0.10940522464225069, 0.1664443408284569, -0.05130102547700517, 0.18698746534646488, 0.08806520466459915, 0.00934735928894952, 0.08383212593616918, 0.15409044157713653, 0.13481596553465353, 0.08806450929259882, -0.10708698594025919, -0.16198326884768904, -0.3225709098856896, -0.13654244847857627, -0.22254477656679228, -0.005471148897595412, -0.12027145791726071, -0.15798945082351565, 0.36944021612871436, 0.14061160241253673, 0.19554870938882232, 0.14711637098807842, 0.33766702122520653, 0.14547099953633733, 0.04550990754796658, 0.1354759972251486, 0.2511812676093541, 0.12154560110066086, 0.11259741342510096, -0.22637966054026037, 0.14283012478263118, 0.13482913392363116] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.