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1,802.0946 | On the type Ia supernovae 2007on and 2011iv: Evidence for
Chandrasekhar-mass explosions at the faint end of the luminosity-width
relationship | Radiative transfer models of two transitional type Ia supernova (SNe Ia) have
been produced using the abundance stratification technique. These two objects
--designated SN 2007on and SN 2011iv-- both exploded in the same galaxy, NGC
1404, which allows for a direct comparison. SN 2007on synthesised 0.25
$M_{\odot}$ of $^{56}$Ni and was less luminous than SN 2011iv, which produced
0.31 $M_{\odot}$ of $^{56}$Ni. SN 2007on had a lower central density
($\rho_{c}$) and higher explosion energy ($E_{\rm kin}$ $\sim
1.3\pm$0.3$\times10^{51}$erg) than SN 2011iv, and it produced less nuclear
statistical equilibrium (NSE) elements (0.06 $M_{\odot}$). Whereas, SN 2011iv
had a larger $\rho_{c}$, which increased the electron capture rate in the
lowest velocity regions, and produced 0.35 $M_{\odot}$ of stable NSE elements.
SN 2011iv had an explosion energy of $E_{\rm kin}$ $\sim 0.9
\pm$0.2$\times10^{51}$erg. Both objects had an ejecta mass consistent with the
Chandrasekhar mass (Ch-mass), and their observational properties are well
described by predictions from delayed-detonation explosion models. Within this
framework, comparison to the sub-luminous SN 1986G indicates SN 2011iv and SN
1986G have different transition densities ($\rho_{tr}$) but similar $\rho_{c}$.
Whereas, SN 1986G and SN 2007on had a similar $\rho_{tr}$ but different
$\rho_{c}$. Finally, we examine the colour-stretch parameter $s_{BV}$ vs.
$L_{max}$ relation and determine that the bulk of SNe Ia (including the
sub-luminous ones) are consistent with Ch-mass delayed-detonation explosions,
where the main parameter driving the diversity is $\rho_{tr}$. We also find
$\rho_{c}$ to be driving the second order scatter observed at the faint end of
the luminosity-width relationship.
| astro-ph.HE | radiative transfer models of two transitional type ia supernova sne ia have been produced using the abundance stratification technique these two objects designated sn 2007on and sn 2011iv both exploded in the same galaxy ngc 1404 which allows for a direct comparison sn 2007on synthesised 025 m_odot of 56ni and was less luminous than sn 2011iv which produced 031 m_odot of 56ni sn 2007on had a lower central density rho_c and higher explosion energy e_rm kin sim 13pm03times1051erg than sn 2011iv and it produced less nuclear statistical equilibrium nse elements 006 m_odot whereas sn 2011iv had a larger rho_c which increased the electron capture rate in the lowest velocity regions and produced 035 m_odot of stable nse elements sn 2011iv had an explosion energy of e_rm kin sim 09 pm02times1051erg both objects had an ejecta mass consistent with the chandrasekhar mass chmass and their observational properties are well described by predictions from delayeddetonation explosion models within this framework comparison to the subluminous sn 1986g indicates sn 2011iv and sn 1986g have different transition densities rho_tr but similar rho_c whereas sn 1986g and sn 2007on had a similar rho_tr but different rho_c finally we examine the colourstretch parameter s_bv vs l_max relation and determine that the bulk of sne ia including the subluminous ones are consistent with chmass delayeddetonation explosions where the main parameter driving the diversity is rho_tr we also find rho_c to be driving the second order scatter observed at the faint end of the luminositywidth relationship | [['radiative', 'transfer', 'models', 'of', 'two', 'transitional', 'type', 'ia', 'supernova', 'sne', 'ia', 'have', 'been', 'produced', 'using', 'the', 'abundance', 'stratification', 'technique', 'these', 'two', 'objects', 'designated', 'sn', '2007on', 'and', 'sn', '2011iv', 'both', 'exploded', 'in', 'the', 'same', 'galaxy', 'ngc', '1404', 'which', 'allows', 'for', 'a', 'direct', 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1,802.09461 | Fukaya A_\infty-structures associated to Lefschetz fibrations. IV 1/2 | We describe a construction of the Fukaya category of an exact symplectic
Lefschetz fibration, together with its closed-open string map.
| math.SG | we describe a construction of the fukaya category of an exact symplectic lefschetz fibration together with its closedopen string map | [['we', 'describe', 'a', 'construction', 'of', 'the', 'fukaya', 'category', 'of', 'an', 'exact', 'symplectic', 'lefschetz', 'fibration', 'together', 'with', 'its', 'closedopen', 'string', 'map']] | [-0.2453241551294923, -0.0912125279828615, -0.15385446781292558, 0.15065045123919846, -0.1215742040425539, -0.18289492414332925, -0.024061459861695767, 0.3344073262065649, -0.3970450419001281, -0.1954669553320855, 0.02251701846253127, -0.1876542866230011, -0.15398504715412856, 0.09586862502619624, -0.30252591515891253, -0.06064447928511072, 0.134701344743371, 0.09010898163542151, -0.15047073047608137, -0.23761454792693257, 0.5134526018053294, 0.035289181699045005, 0.2048693288699724, 0.0733099532313645, 0.23641859968192874, -0.012019972014240921, -0.01849996738601476, -0.07405813205987215, -0.1912952145736199, 0.19640059070661664, 0.278562817722559, 0.05803820975124836, -0.010978937189793214, -0.45142296198755505, -0.06023837247485062, 0.15196879468858243, 0.10278277099132538, 0.09201526837423443, 0.02311851830454543, -0.3513512803474441, 0.060350140230730175, -0.22834978587925434, -0.16751943118870258, -0.11984494174830615, 0.037209061346948145, 0.057330151763744654, -0.10274086035788059, -0.2055816389620304, 0.07002844838425518, 0.12923420439474284, -0.09238956432673148, 0.02875136975198984, -0.14530686084181071, 0.09052629123907537, 0.016845869389362632, 0.17660173650365324, 0.1463562633143738, -0.13162113968282937, -0.10778435980901122, 0.32886432711966335, -0.07856165585108102, -0.235772336833179, 0.04970727190375328, -0.0009470901684835553, -0.2684764506760985, 0.22940443363040686, -0.07366244029253721, 0.14453588298056275, -0.0076529530342668295, 0.3020870795939118, -0.15801615370437502, 0.0522780237486586, 0.12552996383747086, -0.04189484585076571, 0.17196959503926337, 0.12598866248736157, 0.06311798701062799, 0.16861741601023822, -0.018656662851572036, -0.09872306026518345, -0.4154297705739737, -0.21871422406547936, -0.048106520564761016, 0.26320390179753306, -0.15600012615323067, -0.2505836235359311, 0.39944750592112543, 0.0070703530218452215, 0.24560070307925344, 0.22455311506055295, 0.22179230670444666, -0.008496628049761057, -0.009032255480997264, -0.02757945004850626, 0.11216172762215137, 0.32639196459203956, -0.04694537848699838, -0.09420967819169164, -0.16483737295493484, 0.39503354448825123] |
1,802.09462 | Observable atomic consistency for CvRDTs | The development of distributed systems requires developers to balance the
need for consistency, availability, and partition tolerance. Conflict-free
replicated data types (CRDTs) are widely used in eventually consistent systems
to reduce concurrency control. However, due to the lack of consistent
non-monotonic operations, the usage of CRDTs can be difficult. In this paper,
we propose a new consistency protocol, the observable atomic consistency
protocol (OACP). OACP enables a principled relax- ation of strong consistency
to improve performance in specific scenarios. OACP combines the advantages of
mergeable data types, specifically, convergent replicated data types, and
reliable total order broadcast to provide on-demand strong consistency. By
providing observable atomic consistency, OACP avoids the anomalies of related
protocols. We provide a distributed, cluster-enabled implementation of OACP
based on Akka, a widely-used actor-based middleware. Our experimental
evaluation shows that OACP can reduce the coordination between replicas
compared to other protocols providing atomic consistency in several bench-
marks. Our results also suggest that OACP gains availability through mergeable
data types and provides acceptable latency for achieving strong consistency.
| cs.DC | the development of distributed systems requires developers to balance the need for consistency availability and partition tolerance conflictfree replicated data types crdts are widely used in eventually consistent systems to reduce concurrency control however due to the lack of consistent nonmonotonic operations the usage of crdts can be difficult in this paper we propose a new consistency protocol the observable atomic consistency protocol oacp oacp enables a principled relax ation of strong consistency to improve performance in specific scenarios oacp combines the advantages of mergeable data types specifically convergent replicated data types and reliable total order broadcast to provide ondemand strong consistency by providing observable atomic consistency oacp avoids the anomalies of related protocols we provide a distributed clusterenabled implementation of oacp based on akka a widelyused actorbased middleware our experimental evaluation shows that oacp can reduce the coordination between replicas compared to other protocols providing atomic consistency in several bench marks our results also suggest that oacp gains availability through mergeable data types and provides acceptable latency for achieving strong consistency | [['the', 'development', 'of', 'distributed', 'systems', 'requires', 'developers', 'to', 'balance', 'the', 'need', 'for', 'consistency', 'availability', 'and', 'partition', 'tolerance', 'conflictfree', 'replicated', 'data', 'types', 'crdts', 'are', 'widely', 'used', 'in', 'eventually', 'consistent', 'systems', 'to', 'reduce', 'concurrency', 'control', 'however', 'due', 'to', 'the', 'lack', 'of', 'consistent', 'nonmonotonic', 'operations', 'the', 'usage', 'of', 'crdts', 'can', 'be', 'difficult', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'consistency', 'protocol', 'the', 'observable', 'atomic', 'consistency', 'protocol', 'oacp', 'oacp', 'enables', 'a', 'principled', 'relax', 'ation', 'of', 'strong', 'consistency', 'to', 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1,802.09463 | Exploring the limits of super-Planckian far-field radiative heat
transfer using 2D materials | Very recently it has been predicted that the far-field radiative heat
transfer between two macroscopic systems can largely overcome the limit set by
Planck's law if one of their dimensions becomes much smaller than the thermal
wavelength ($\lambda_{\rm Th} \approx 10\, \mu$m at room temperature). To
explore the ultimate limit of the far-field violation of Planck's law, here we
present a theoretical study of the radiative heat transfer between
two-dimensional (2D) materials. We show that the far-field thermal radiation
exchanged by two coplanar systems with a one-atom-thick geometrical cross
section can be more than 7 orders of magnitude larger than the theoretical
limit set by Planck's law for blackbodies and can be comparable to the heat
transfer of two parallel sheets at the same distance. In particular, we
illustrate this phenomenon with different materials such as graphene, where the
radiation can also be tuned by a external gate, and single-layer black
phosphorus. In both cases the far-field radiative heat transfer is dominated by
TE-polarized guiding modes and surface plasmons play no role. Our predictions
provide a new insight into the thermal radiation exchange mechanisms between 2D
materials.
| physics.optics cond-mat.mes-hall | very recently it has been predicted that the farfield radiative heat transfer between two macroscopic systems can largely overcome the limit set by plancks law if one of their dimensions becomes much smaller than the thermal wavelength lambda_rm th approx 10 mum at room temperature to explore the ultimate limit of the farfield violation of plancks law here we present a theoretical study of the radiative heat transfer between twodimensional 2d materials we show that the farfield thermal radiation exchanged by two coplanar systems with a oneatomthick geometrical cross section can be more than 7 orders of magnitude larger than the theoretical limit set by plancks law for blackbodies and can be comparable to the heat transfer of two parallel sheets at the same distance in particular we illustrate this phenomenon with different materials such as graphene where the radiation can also be tuned by a external gate and singlelayer black phosphorus in both cases the farfield radiative heat transfer is dominated by tepolarized guiding modes and surface plasmons play no role our predictions provide a new insight into the thermal radiation exchange mechanisms between 2d materials | [['very', 'recently', 'it', 'has', 'been', 'predicted', 'that', 'the', 'farfield', 'radiative', 'heat', 'transfer', 'between', 'two', 'macroscopic', 'systems', 'can', 'largely', 'overcome', 'the', 'limit', 'set', 'by', 'plancks', 'law', 'if', 'one', 'of', 'their', 'dimensions', 'becomes', 'much', 'smaller', 'than', 'the', 'thermal', 'wavelength', 'lambda_rm', 'th', 'approx', '10', 'mum', 'at', 'room', 'temperature', 'to', 'explore', 'the', 'ultimate', 'limit', 'of', 'the', 'farfield', 'violation', 'of', 'plancks', 'law', 'here', 'we', 'present', 'a', 'theoretical', 'study', 'of', 'the', 'radiative', 'heat', 'transfer', 'between', 'twodimensional', '2d', 'materials', 'we', 'show', 'that', 'the', 'farfield', 'thermal', 'radiation', 'exchanged', 'by', 'two', 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1,802.09464 | Multi-Goal Reinforcement Learning: Challenging Robotics Environments and
Request for Research | The purpose of this technical report is two-fold. First of all, it introduces
a suite of challenging continuous control tasks (integrated with OpenAI Gym)
based on currently existing robotics hardware. The tasks include pushing,
sliding and pick & place with a Fetch robotic arm as well as in-hand object
manipulation with a Shadow Dexterous Hand. All tasks have sparse binary rewards
and follow a Multi-Goal Reinforcement Learning (RL) framework in which an agent
is told what to do using an additional input.
The second part of the paper presents a set of concrete research ideas for
improving RL algorithms, most of which are related to Multi-Goal RL and
Hindsight Experience Replay.
| cs.LG cs.AI cs.RO | the purpose of this technical report is twofold first of all it introduces a suite of challenging continuous control tasks integrated with openai gym based on currently existing robotics hardware the tasks include pushing sliding and pick place with a fetch robotic arm as well as inhand object manipulation with a shadow dexterous hand all tasks have sparse binary rewards and follow a multigoal reinforcement learning rl framework in which an agent is told what to do using an additional input the second part of the paper presents a set of concrete research ideas for improving rl algorithms most of which are related to multigoal rl and hindsight experience replay | [['the', 'purpose', 'of', 'this', 'technical', 'report', 'is', 'twofold', 'first', 'of', 'all', 'it', 'introduces', 'a', 'suite', 'of', 'challenging', 'continuous', 'control', 'tasks', 'integrated', 'with', 'openai', 'gym', 'based', 'on', 'currently', 'existing', 'robotics', 'hardware', 'the', 'tasks', 'include', 'pushing', 'sliding', 'and', 'pick', 'place', 'with', 'a', 'fetch', 'robotic', 'arm', 'as', 'well', 'as', 'inhand', 'object', 'manipulation', 'with', 'a', 'shadow', 'dexterous', 'hand', 'all', 'tasks', 'have', 'sparse', 'binary', 'rewards', 'and', 'follow', 'a', 'multigoal', 'reinforcement', 'learning', 'rl', 'framework', 'in', 'which', 'an', 'agent', 'is', 'told', 'what', 'to', 'do', 'using', 'an', 'additional', 'input', 'the', 'second', 'part', 'of', 'the', 'paper', 'presents', 'a', 'set', 'of', 'concrete', 'research', 'ideas', 'for', 'improving', 'rl', 'algorithms', 'most', 'of', 'which', 'are', 'related', 'to', 'multigoal', 'rl', 'and', 'hindsight', 'experience', 'replay']] | [-0.0616128940558569, 0.013485703145587733, -0.07552368327848274, -0.023008325122381476, -0.19225209774449467, -0.20111784250475467, 0.033524477532641456, 0.45783274977213956, -0.24396171491614288, -0.3648388146168806, 0.13270970694614914, -0.22146270998610734, -0.17646041990003802, 0.23613231610189275, -0.1522065132263709, 0.07934179268036545, 0.07405321829613637, 0.03552157448774034, -0.01580109645358541, -0.27520495735278183, 0.29872686083174566, 0.008334321283142675, 0.23658556047911672, -0.018146995272995396, 0.1689901357008652, 0.015711585758253932, -0.022356634015556088, -0.04259435850280252, -0.0407117013184523, 0.1595350126481869, 0.3502002322707664, 0.20651212416335263, 0.3939697236246006, -0.3995365450666709, -0.15754913803062995, 0.0768682830459015, 0.11337779216383669, 0.07799117532347075, -0.055734133789188824, -0.3320206156561405, 0.054841879379554564, -0.19080792524936524, -0.022899346422954377, -0.08189737139777704, 0.006069926380851856, 9.821199981326407e-05, -0.24998741284601816, -0.07763750073076649, 0.09041279793018475, 0.07765616245186803, -0.04084419241725382, -0.12083465001461181, 0.08654237799346447, 0.1989876406859945, 0.0416051725814627, 0.09867301130646162, 0.2091109734451906, -0.18255794015501373, -0.22863333266736433, 0.39947635169902984, 0.017955639441920954, -0.15139198276447133, 0.2366337684967386, -0.02879608154339208, -0.1872582923409275, 0.06349965894848786, 0.24154789705168117, 0.17358763552884657, -0.1599160736680708, 0.04085197142928585, -0.04078416403552348, 0.17445897404951127, 0.006546570876592093, -0.016185015537352725, 0.17945596081289378, 0.26321037163830957, 0.09878862447909673, 0.1379808112216944, -0.04243423409802331, -0.11787986621599306, -0.24483356372961265, -0.12434787888037549, -0.1472390859430148, -0.009014254829592325, -0.02686962519140004, -0.15138368107886477, 0.33707786941562184, 0.21515117215669968, 0.21267891889438034, 0.11807972732719711, 0.39890993813222103, 0.03141229978500633, 0.08380488513714889, 0.10776044612284749, 0.20283602214926347, -0.0297904287380251, 0.14988665702244774, -0.17079697304897393, 0.09376671801702204, 0.023264313442632557] |
1,802.09465 | On Strong NP-Completeness of Rational Problems | The computational complexity of the partition, 0-1 subset sum, unbounded
subset sum, 0-1 knapsack and unbounded knapsack problems and their multiple
variants were studied in numerous papers in the past where all the weights and
profits were assumed to be integers. We re-examine here the computational
complexity of all these problems in the setting where the weights and profits
are allowed to be any rational numbers. We show that all of these problems in
this setting become strongly NP-complete and, as a result, no pseudo-polynomial
algorithm can exist for solving them unless P=NP. Despite this result we show
that they all still admit a fully polynomial-time approximation scheme.
| cs.DM cs.AI cs.CC | the computational complexity of the partition 01 subset sum unbounded subset sum 01 knapsack and unbounded knapsack problems and their multiple variants were studied in numerous papers in the past where all the weights and profits were assumed to be integers we reexamine here the computational complexity of all these problems in the setting where the weights and profits are allowed to be any rational numbers we show that all of these problems in this setting become strongly npcomplete and as a result no pseudopolynomial algorithm can exist for solving them unless pnp despite this result we show that they all still admit a fully polynomialtime approximation scheme | [['the', 'computational', 'complexity', 'of', 'the', 'partition', '01', 'subset', 'sum', 'unbounded', 'subset', 'sum', '01', 'knapsack', 'and', 'unbounded', 'knapsack', 'problems', 'and', 'their', 'multiple', 'variants', 'were', 'studied', 'in', 'numerous', 'papers', 'in', 'the', 'past', 'where', 'all', 'the', 'weights', 'and', 'profits', 'were', 'assumed', 'to', 'be', 'integers', 'we', 'reexamine', 'here', 'the', 'computational', 'complexity', 'of', 'all', 'these', 'problems', 'in', 'the', 'setting', 'where', 'the', 'weights', 'and', 'profits', 'are', 'allowed', 'to', 'be', 'any', 'rational', 'numbers', 'we', 'show', 'that', 'all', 'of', 'these', 'problems', 'in', 'this', 'setting', 'become', 'strongly', 'npcomplete', 'and', 'as', 'a', 'result', 'no', 'pseudopolynomial', 'algorithm', 'can', 'exist', 'for', 'solving', 'them', 'unless', 'pnp', 'despite', 'this', 'result', 'we', 'show', 'that', 'they', 'all', 'still', 'admit', 'a', 'fully', 'polynomialtime', 'approximation', 'scheme']] | [-0.13339338434377201, 0.07638914469431189, -0.01180680171172652, 0.07661033900135576, -0.10102196673310741, -0.1597001280213051, 0.0937519889169683, 0.4138266385136241, -0.33929811342170946, -0.3130354423903757, 0.14405402542885254, -0.2602611168037617, -0.14675938888211493, 0.18262769348264016, -0.08861696693822052, 0.08477481083806467, 0.07147603797191684, -0.0008163396269083023, -0.012424542448974939, -0.3787679677242758, 0.2624319001678722, -0.06839108937128913, 0.17750515673671746, 0.06998812193395915, 0.05427445302646245, -0.03016417578328401, 0.0013760763944851027, 0.10535825353495225, -0.11917766232404069, 0.0657777649235127, 0.3351891871231298, 0.16607849897506335, 0.34870092619072507, -0.4347653421918275, -0.1703902496697588, 0.23319916907025295, 0.16007377789786983, 0.07899568655045221, 0.0016245504095288063, -0.16585886704356032, 0.12251808632734335, -0.13758051095754598, -0.049200822844997875, -0.04821583920123952, 0.014402000425400695, 0.031863997711938014, -0.27521658449916653, 0.014281770490385868, 0.06740132942623286, -0.026297480859621254, -0.08252106941977723, -0.1815774597624248, 0.05069997393163956, 0.07828684679784433, 0.03326386497873399, 0.014631067493206097, 0.02207084525704246, -0.10988841574483861, -0.17116265457675414, 0.40729194858835804, 0.03914185956603399, -0.26264618076729, 0.162629907735175, -0.1311521193818879, -0.19076017630545217, 0.1380276540208056, 0.14612162898939224, 0.15872569613296678, -0.1076087888666532, 0.14342801136135003, -0.1392083702850397, 0.15252525047011053, 0.11789637355616799, 0.05781206334574596, 0.12058065643672038, 0.07281726737144506, 0.10582743245780606, 0.10409419678142984, 0.040852284763618456, -0.10912095683333636, -0.2706540343141468, -0.12031467305011272, -0.17410146914146565, 0.04334490350124219, -0.09189524954652167, -0.172474745436813, 0.32796818824576973, 0.13617856043425422, 0.1779575343588712, 0.16735823639599537, 0.27631473325675837, 0.13307697377792835, 0.01761858026967039, 0.1573746615667241, 0.18365214036829355, 0.0618386341439974, 0.035219295661792986, -0.1655350718684969, 0.0799088000656209, 0.06508840694678603] |
1,802.09466 | Effect of Random Time Changes on Loewner Hulls | Loewner hulls are determined by their real-valued driving functions. We study
the geometric effect on the Loewner hulls when the driving function is composed
with a random time change, such as the inverse of an $\alpha$-stable
subordinator. In contrast to SLE, we show that for a large class of random time
changes, the time-changed Brownian motion process does not generate a simple
curve. Further we develop criteria which can be applied in many situations to
determine whether the Loewner hull generated by a time-changed driving function
is simple or non-simple. To aid our analysis of an example with a time-changed
deterministic driving function, we prove a deterministic result that a driving
function that moves faster than $at^r$ for $r \in (0,1/2)$ generates a hull
that leaves the real line tangentially.
| math.CV math.PR | loewner hulls are determined by their realvalued driving functions we study the geometric effect on the loewner hulls when the driving function is composed with a random time change such as the inverse of an alphastable subordinator in contrast to sle we show that for a large class of random time changes the timechanged brownian motion process does not generate a simple curve further we develop criteria which can be applied in many situations to determine whether the loewner hull generated by a timechanged driving function is simple or nonsimple to aid our analysis of an example with a timechanged deterministic driving function we prove a deterministic result that a driving function that moves faster than atr for r in 012 generates a hull that leaves the real line tangentially | [['loewner', 'hulls', 'are', 'determined', 'by', 'their', 'realvalued', 'driving', 'functions', 'we', 'study', 'the', 'geometric', 'effect', 'on', 'the', 'loewner', 'hulls', 'when', 'the', 'driving', 'function', 'is', 'composed', 'with', 'a', 'random', 'time', 'change', 'such', 'as', 'the', 'inverse', 'of', 'an', 'alphastable', 'subordinator', 'in', 'contrast', 'to', 'sle', 'we', 'show', 'that', 'for', 'a', 'large', 'class', 'of', 'random', 'time', 'changes', 'the', 'timechanged', 'brownian', 'motion', 'process', 'does', 'not', 'generate', 'a', 'simple', 'curve', 'further', 'we', 'develop', 'criteria', 'which', 'can', 'be', 'applied', 'in', 'many', 'situations', 'to', 'determine', 'whether', 'the', 'loewner', 'hull', 'generated', 'by', 'a', 'timechanged', 'driving', 'function', 'is', 'simple', 'or', 'nonsimple', 'to', 'aid', 'our', 'analysis', 'of', 'an', 'example', 'with', 'a', 'timechanged', 'deterministic', 'driving', 'function', 'we', 'prove', 'a', 'deterministic', 'result', 'that', 'a', 'driving', 'function', 'that', 'moves', 'faster', 'than', 'atr', 'for', 'r', 'in', '012', 'generates', 'a', 'hull', 'that', 'leaves', 'the', 'real', 'line', 'tangentially']] | [-0.08824867954334388, 0.14287114242436544, -0.10034074522554874, 0.05546328426533784, -0.09461434545138707, -0.1295800840911957, 0.022861932464785732, 0.4218471309599968, -0.3425783028324636, -0.18919906322486124, 0.10966721840399819, -0.23724828222050118, -0.18750046251807362, 0.2438512336014985, -0.11141343021657892, 0.05206545811289778, 0.03315103463515138, 0.013582815942712701, -0.008389501034085138, -0.20425581228740228, 0.28646760628773615, -0.03273795231317098, 0.2010141076036514, -0.023393792561434496, 0.1344890382893097, 0.02875888947612391, -0.011606885041468418, 0.01668810731588075, -0.14369553458773926, 0.050882227872464755, 0.19882642936248046, 0.08798886035891393, 0.2912381758626837, -0.37399525498398223, -0.19798849628736767, 0.2006389263838243, 0.14427725061989174, 0.056054155927043985, -0.040330951090436426, -0.26123283059121327, 0.08241897930229942, -0.11575763921159356, -0.18413235102959263, -0.061558219238829155, 0.09860460412545273, 0.07778454489710454, -0.33086429751621416, 0.028666583326860118, 0.13925676472807447, 0.06937422904257591, -0.05885177964272981, -0.04954981247249704, -0.005071814990459153, 0.0921181595429796, 0.006381383942789398, 0.0888174877412474, 0.19410808574623215, -0.08297123049806732, -0.16631798756380495, 0.36377688446440376, -0.09135253592987563, -0.28765740610654644, 0.18124840050720825, -0.16445653109202304, -0.1259513440577743, 0.11413990771039748, 0.16751622753934217, 0.14829046892611167, -0.17275800401078484, 0.076533898521358, -0.05199128971076929, 0.13501722805488567, 0.06211917824828281, -0.06912400077025478, 0.1603263986082031, 0.12946050419704988, 0.12028649476168748, 0.20344586826842995, -0.02963443260030964, -0.12828397469666714, -0.315665835465412, -0.14653144951802322, -0.22943798650342684, 0.10435998186641463, -0.13958823948453825, -0.22164984567140122, 0.36953318369789767, 0.13391466612855976, 0.2376338083261194, 0.13507074071721245, 0.2490666959864589, 0.19726832350805545, -0.006763408361075562, 0.08748507615751945, 0.1265703229770924, 0.0916188480798155, 0.04698575843627063, -0.17772952758062344, 0.11342446229492242, 0.09242309875643025] |
1,802.09467 | Different manifestations of S-matrix poles | Making use of the analytical properties of the $S$-matrix and a theorem of
Mittag-Leffler, model independent non-relativistic expressions for cross
sections in single channel elastic scattering, scattering phase shifts and
survival probabilities of resonances are derived. Provided certain conditions
are satisfied by the poles, the residues can also be estimated analytically.
Considerations of the low energy behaviour of the $S$-matrix and cross sections
reveal additional conditions on the residues of the poles appearing in the
Mittag-Leffler expansions. The exact expressions for the resonant cross section
and phase shift are shown to reduce to the commonly used Breit-Wigner formula
plus corrections. The latter is shown to approach the exact result with the
example of a meson and a baryon resonance. Finally, a comparison of the exact
expressions with some realistic examples is presented. The calculations of
survival probabilities in particular reveal the reason behind the
non-observability of non-exponential decay.
| hep-ph nucl-th quant-ph | making use of the analytical properties of the smatrix and a theorem of mittagleffler model independent nonrelativistic expressions for cross sections in single channel elastic scattering scattering phase shifts and survival probabilities of resonances are derived provided certain conditions are satisfied by the poles the residues can also be estimated analytically considerations of the low energy behaviour of the smatrix and cross sections reveal additional conditions on the residues of the poles appearing in the mittagleffler expansions the exact expressions for the resonant cross section and phase shift are shown to reduce to the commonly used breitwigner formula plus corrections the latter is shown to approach the exact result with the example of a meson and a baryon resonance finally a comparison of the exact expressions with some realistic examples is presented the calculations of survival probabilities in particular reveal the reason behind the nonobservability of nonexponential decay | [['making', 'use', 'of', 'the', 'analytical', 'properties', 'of', 'the', 'smatrix', 'and', 'a', 'theorem', 'of', 'mittagleffler', 'model', 'independent', 'nonrelativistic', 'expressions', 'for', 'cross', 'sections', 'in', 'single', 'channel', 'elastic', 'scattering', 'scattering', 'phase', 'shifts', 'and', 'survival', 'probabilities', 'of', 'resonances', 'are', 'derived', 'provided', 'certain', 'conditions', 'are', 'satisfied', 'by', 'the', 'poles', 'the', 'residues', 'can', 'also', 'be', 'estimated', 'analytically', 'considerations', 'of', 'the', 'low', 'energy', 'behaviour', 'of', 'the', 'smatrix', 'and', 'cross', 'sections', 'reveal', 'additional', 'conditions', 'on', 'the', 'residues', 'of', 'the', 'poles', 'appearing', 'in', 'the', 'mittagleffler', 'expansions', 'the', 'exact', 'expressions', 'for', 'the', 'resonant', 'cross', 'section', 'and', 'phase', 'shift', 'are', 'shown', 'to', 'reduce', 'to', 'the', 'commonly', 'used', 'breitwigner', 'formula', 'plus', 'corrections', 'the', 'latter', 'is', 'shown', 'to', 'approach', 'the', 'exact', 'result', 'with', 'the', 'example', 'of', 'a', 'meson', 'and', 'a', 'baryon', 'resonance', 'finally', 'a', 'comparison', 'of', 'the', 'exact', 'expressions', 'with', 'some', 'realistic', 'examples', 'is', 'presented', 'the', 'calculations', 'of', 'survival', 'probabilities', 'in', 'particular', 'reveal', 'the', 'reason', 'behind', 'the', 'nonobservability', 'of', 'nonexponential', 'decay']] | [-0.1285622617044184, 0.10657985785636245, -0.1261328511707787, 0.16163707647954012, -0.03297774143976386, -0.10245632353817692, 0.05672771410664191, 0.32422168101058213, -0.19631265946412207, -0.24474334295813902, 0.03900229916276608, -0.28971098816711327, -0.1522070005523494, 0.1876949512154317, 0.04117761033027106, 0.09733517625608255, 0.06132820740379896, 0.09319374127930181, -0.07371294412233338, -0.19178770504751466, 0.3085308762556697, 0.05146381550946751, 0.24845181800097832, 0.12651395943405963, 0.05266915838158614, 0.04042179426972792, -0.03325252412390467, -0.07169775583944912, -0.15608506549363704, 0.10995566966389683, 0.25109275951478127, 0.061891341785225006, 0.1272876111678842, -0.41971322354810264, -0.15207027771031936, 0.07262962121780761, 0.17422152622414097, 0.12728010893270775, -0.0005143761274568435, -0.2926779336616951, 0.057409926246052505, -0.17517023020096728, -0.19095698763880678, -0.084322872238133, 0.011481230477550747, 0.04935961915652041, -0.3076509296440998, 0.10077248926048728, 0.016949831624515355, 0.0061457025817248535, -0.09377534765312825, -0.16514438394035488, -0.0247523635012299, 0.08708537820839903, 0.10801165095833583, -0.07639543031109497, 0.145546369481127, -0.14190745970070665, -0.09388463138728528, 0.3534691798653315, -0.031217970333543506, -0.2038650345780912, 0.11338350754994207, -0.17812505385498642, -0.08023954822675551, 0.200092831377972, 0.131730186167752, 0.11614927471885961, -0.18485096314091337, 0.0970882168981621, 0.007103404369224115, 0.10916272621299769, 0.1269735996957516, 0.042297735435863, 0.14081467934758277, 0.09344548044405324, -0.05341722636886344, 0.11991640861772278, -0.08142315294134204, -0.13217463045745986, -0.3917080081143492, -0.12666548608182426, -0.1245043346142346, 0.017682563639371783, -0.08846952513478165, -0.1682951093468079, 0.34632291959447636, 0.08659357347248776, 0.2571572538565945, 0.06974369241789966, 0.3132805368183432, 0.22620374105895893, 0.054215073714511015, 0.004072826003303399, 0.24914745725097442, 0.21476574497638787, 0.043000753390023835, -0.2401437277030955, 0.07755039869241316, 0.06070212773487878] |
1,802.09468 | Thermoelectric signatures of the electron-phonon fluid in PtSn4 | In most materials, transport can be described by the motion of distinct
species of quasiparticles, such as electrons and phonons. Strong interactions
between quasiparticles, however, can lead to collective behaviour, including
the possibility of viscous hydrodynamic flow. In the case of electrons and
phonons, an electron-phonon fluid is expected to exhibit strong phonon-drag
transport signatures and an anomalously low thermal conductivity. The Dirac
semi-metal PtSn4 has a very low resistivity at low temperatures and shows a
pronounced phonon drag peak in the low temperature thermopower; it is therefore
an excellent candidate for hosting a hydrodynamic electron-phonon fluid. Here
we report measurements of the temperature and magnetic field dependence of the
longitudinal and Hall electrical resistivities, the thermopower and the thermal
conductivity of PtSn4. We confirm a phonon drag peak in the thermopower near 14
K and observe a concurrent breakdown of the Lorenz ratio below the Sommerfeld
value. Both of these facts are expected for an electron-phonon fluid with a
quasi-conserved total momentum. A hierarchy between momentum-conserving and
momentum-relaxing scattering timescales is corroborated through measurements of
the magnetic field dependence of the electrical and Hall resistivity and of the
thermal conductivity. These results show that PtSn4 exhibits key features of
hydrodynamic transport.
| cond-mat.mtrl-sci | in most materials transport can be described by the motion of distinct species of quasiparticles such as electrons and phonons strong interactions between quasiparticles however can lead to collective behaviour including the possibility of viscous hydrodynamic flow in the case of electrons and phonons an electronphonon fluid is expected to exhibit strong phonondrag transport signatures and an anomalously low thermal conductivity the dirac semimetal ptsn4 has a very low resistivity at low temperatures and shows a pronounced phonon drag peak in the low temperature thermopower it is therefore an excellent candidate for hosting a hydrodynamic electronphonon fluid here we report measurements of the temperature and magnetic field dependence of the longitudinal and hall electrical resistivities the thermopower and the thermal conductivity of ptsn4 we confirm a phonon drag peak in the thermopower near 14 k and observe a concurrent breakdown of the lorenz ratio below the sommerfeld value both of these facts are expected for an electronphonon fluid with a quasiconserved total momentum a hierarchy between momentumconserving and momentumrelaxing scattering timescales is corroborated through measurements of the magnetic field dependence of the electrical and hall resistivity and of the thermal conductivity these results show that ptsn4 exhibits key features of hydrodynamic transport | [['in', 'most', 'materials', 'transport', 'can', 'be', 'described', 'by', 'the', 'motion', 'of', 'distinct', 'species', 'of', 'quasiparticles', 'such', 'as', 'electrons', 'and', 'phonons', 'strong', 'interactions', 'between', 'quasiparticles', 'however', 'can', 'lead', 'to', 'collective', 'behaviour', 'including', 'the', 'possibility', 'of', 'viscous', 'hydrodynamic', 'flow', 'in', 'the', 'case', 'of', 'electrons', 'and', 'phonons', 'an', 'electronphonon', 'fluid', 'is', 'expected', 'to', 'exhibit', 'strong', 'phonondrag', 'transport', 'signatures', 'and', 'an', 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1,802.09469 | The nebular spectra of the transitional Type Ia Supernovae 2007on and
2011iv: broad, multiple components indicate aspherical explosion cores | The nebular-epoch spectrum of the rapidly declining, "transitional" type Ia
supernova (SN) 2007on showed double emission peaks, which have been interpreted
as indicating that the SN was the result of the direct collision of two white
dwarfs. The spectrum can be reproduced using two distinct emission components,
one red-shifted and one blue shifted. These components are similar in mass but
have slightly different degrees of ionization. They recede from one another at
a line-of-sight speed larger than the sum of the combined expansion velocities
of their emitting cores, thereby acting as two independent nebulae. While this
configuration appears to be consistent with the scenario of two white dwarfs
colliding, it may also indicate an off-centre delayed detonation explosion of a
near Chandrasekhar-mass white dwarf. In either case, broad emission line widths
and a rapidly evolving light curve can be expected for the bolometric
luminosity of the SN. This is the case for both SNe 2007on and 2011iv, also a
transitional SN Ia which exploded in the same elliptical galaxy, NGC 1404.
Although SN 2011iv does not show double-peaked emission line profiles, the
width of its emission lines is such that a two-component model yields somewhat
better results than a single-component model. Most of the mass ejected is in
one component, however, which suggests that SN 2011iv was the result of the
off-centre ignition of a Chandrasekhar-mass white dwarf.
| astro-ph.HE | the nebularepoch spectrum of the rapidly declining transitional type ia supernova sn 2007on showed double emission peaks which have been interpreted as indicating that the sn was the result of the direct collision of two white dwarfs the spectrum can be reproduced using two distinct emission components one redshifted and one blue shifted these components are similar in mass but have slightly different degrees of ionization they recede from one another at a lineofsight speed larger than the sum of the combined expansion velocities of their emitting cores thereby acting as two independent nebulae while this configuration appears to be consistent with the scenario of two white dwarfs colliding it may also indicate an offcentre delayed detonation explosion of a near chandrasekharmass white dwarf in either case broad emission line widths and a rapidly evolving light curve can be expected for the bolometric luminosity of the sn this is the case for both sne 2007on and 2011iv also a transitional sn ia which exploded in the same elliptical galaxy ngc 1404 although sn 2011iv does not show doublepeaked emission line profiles the width of its emission lines is such that a twocomponent model yields somewhat better results than a singlecomponent model most of the mass ejected is in one component however which suggests that sn 2011iv was the result of the offcentre ignition of a chandrasekharmass white dwarf | [['the', 'nebularepoch', 'spectrum', 'of', 'the', 'rapidly', 'declining', 'transitional', 'type', 'ia', 'supernova', 'sn', '2007on', 'showed', 'double', 'emission', 'peaks', 'which', 'have', 'been', 'interpreted', 'as', 'indicating', 'that', 'the', 'sn', 'was', 'the', 'result', 'of', 'the', 'direct', 'collision', 'of', 'two', 'white', 'dwarfs', 'the', 'spectrum', 'can', 'be', 'reproduced', 'using', 'two', 'distinct', 'emission', 'components', 'one', 'redshifted', 'and', 'one', 'blue', 'shifted', 'these', 'components', 'are', 'similar', 'in', 'mass', 'but', 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1,802.0947 | Nonlinear dynamics in multimode optical fibers | We overview recent advances in the research on spatiotemporal beam shaping in
nonlinear multimode optical fibers. An intense light beam coupled to a graded
index (GRIN) highly multimode fiber undergoes a series of complex nonlinear
processes when its power grows larger. Among them, the lowest threshold effect
is the Kerr-induced beam self-cleaning, that redistributes most of the beam
energy into a robust bell-shaped beam close to the fundamental mode. At higher
powers a series of spectral sidebands is generated, thanks to the phase
matching induced by the long period grating due to the periodic self-imaging of
the beam and the Kerr effect. Subsequently a broadband and spectrally flat
supercontinuum is generated, extending from the visible to the mid-infrared.
| physics.optics | we overview recent advances in the research on spatiotemporal beam shaping in nonlinear multimode optical fibers an intense light beam coupled to a graded index grin highly multimode fiber undergoes a series of complex nonlinear processes when its power grows larger among them the lowest threshold effect is the kerrinduced beam selfcleaning that redistributes most of the beam energy into a robust bellshaped beam close to the fundamental mode at higher powers a series of spectral sidebands is generated thanks to the phase matching induced by the long period grating due to the periodic selfimaging of the beam and the kerr effect subsequently a broadband and spectrally flat supercontinuum is generated extending from the visible to the midinfrared | [['we', 'overview', 'recent', 'advances', 'in', 'the', 'research', 'on', 'spatiotemporal', 'beam', 'shaping', 'in', 'nonlinear', 'multimode', 'optical', 'fibers', 'an', 'intense', 'light', 'beam', 'coupled', 'to', 'a', 'graded', 'index', 'grin', 'highly', 'multimode', 'fiber', 'undergoes', 'a', 'series', 'of', 'complex', 'nonlinear', 'processes', 'when', 'its', 'power', 'grows', 'larger', 'among', 'them', 'the', 'lowest', 'threshold', 'effect', 'is', 'the', 'kerrinduced', 'beam', 'selfcleaning', 'that', 'redistributes', 'most', 'of', 'the', 'beam', 'energy', 'into', 'a', 'robust', 'bellshaped', 'beam', 'close', 'to', 'the', 'fundamental', 'mode', 'at', 'higher', 'powers', 'a', 'series', 'of', 'spectral', 'sidebands', 'is', 'generated', 'thanks', 'to', 'the', 'phase', 'matching', 'induced', 'by', 'the', 'long', 'period', 'grating', 'due', 'to', 'the', 'periodic', 'selfimaging', 'of', 'the', 'beam', 'and', 'the', 'kerr', 'effect', 'subsequently', 'a', 'broadband', 'and', 'spectrally', 'flat', 'supercontinuum', 'is', 'generated', 'extending', 'from', 'the', 'visible', 'to', 'the', 'midinfrared']] | [-0.13761197011996756, 0.17902590048420974, -0.0774916567823897, -0.01259061064022609, -0.09258951663465823, -0.13278060948468304, -0.014287059240721925, 0.4732195905851737, -0.28791088765285816, -0.22796887322230328, 0.07676333081079804, -0.2601539899547726, -0.11115638487696079, 0.2621915409680835, -0.051041740655772765, 0.07882496524035883, 0.034946497249559075, -0.04746723954044914, 0.011763970251195133, -0.145706130250878, 0.293961736397281, 0.12424130589006689, 0.34723676130436043, 0.0063820263327462445, 0.1176287393930163, 0.03173612176618979, -0.03474533974347928, -0.0717257775516265, -0.09409049025301919, 0.12141437137152179, 0.20190534862823847, -0.0024956853121077104, 0.2854522280197717, -0.40592652829600717, -0.23814422833749047, 0.08595884360384859, 0.12139815840301878, 0.1132983735809892, -0.04666884302386572, -0.2575837145401638, 0.04626562478912647, -0.12776220116322323, -0.16965811265143171, 0.011272993455719898, 0.02042224204367011, 0.03579376659245562, -0.2652765024222544, -6.718658230472671e-05, 0.05176635744776261, 0.047877743402180276, 0.0083986183685661, -0.0169721495723194, -0.06754929203761079, 0.038821951019769076, 0.0023817348913526383, 0.01005036493573906, 0.11875707881872431, -0.14260638101121126, -0.06237355845001668, 0.37416627357311355, -0.09671250706285996, -0.0679184504453156, 0.11936071413959834, -0.19533535329451374, -0.001340320179933461, 0.24696394051346232, 0.19301935926206032, 0.10831247525037092, -0.07445092756134435, -0.009821032545868686, 0.018950482823745885, 0.22532081866826295, 0.16181749652210875, 0.11872560429481506, 0.2423785030318945, 0.1900300835318453, 0.04971424686935556, 0.19271012293017012, -0.11264807307501758, -0.04736396193630615, -0.24081650597508997, -0.07768318804486071, -0.1488873881839859, 0.05707199341653041, -0.05729238607627695, -0.12801208046375442, 0.4771203841911471, 0.035528281999562504, 0.16247053224972244, -0.04966635329617282, 0.34723176727844873, 0.16190308740488807, 0.0723136123226634, 0.008209959228949274, 0.27607801337371246, 0.18554807349376506, 0.13999517622672147, -0.251947533968694, -0.04770744575278328, -0.025771724174619984] |
1,802.09471 | Circumnuclear star formation in Mrk 42 mapped with Gemini Near-infrared
Integral Field Spectrograph | We present Gemini Near-infrared Integral Field Spectrograph (NIFS)
observations of the inner $1.5\times1.5$ kpc$^2$ of the narrow-line Seyfert 1
galaxy Mrk 42 at a spatial resolution of 60 pc and spectral resolution of 40 km
s$^{-1}$. The emission-line flux and equivalent width maps clearly show a ring
of circumnuclear star formation regions (CNSFRs) surrounding the nucleus with
radius of $\sim$500 pc. The spectra of some of these regions show molecular
absorption features which are probably of CN, TiO or VO, indicating the
presence of massive evolved stars in the thermally pulsing asymptotic giant
branch (TP-AGB) phase. The gas kinematics of the ring is dominated by rotation
in the plane of the galaxy, following the large scale disk geometry, while at
the nucleus an additional outflowing component is detected blueshifted by
300-500 kms$^{-1}$, relative to the systemic velocity of the galaxy. Based on
the equivalent width of Br$\gamma$, we find evidences of gradients in the age
of HII regions along the ring of Mrk 42, favoring the pearls on a string
scenario of star formation. The broad component of Pa$\beta$ emission line
presents a Full Width at Half Maximum (FWHM) of $\sim$1480 kms$^{-1}$, implying
in a mass of $\sim\,2.5\times10^{6}$~M$_{\odot}$ for the central supermassive
black hole. Based on emission-line ratios we conclude that besides the active
galactic nucleus, Mrk 42 presents nuclear Starburst activity.
| astro-ph.GA | we present gemini nearinfrared integral field spectrograph nifs observations of the inner 15times15 kpc2 of the narrowline seyfert 1 galaxy mrk 42 at a spatial resolution of 60 pc and spectral resolution of 40 km s1 the emissionline flux and equivalent width maps clearly show a ring of circumnuclear star formation regions cnsfrs surrounding the nucleus with radius of sim500 pc the spectra of some of these regions show molecular absorption features which are probably of cn tio or vo indicating the presence of massive evolved stars in the thermally pulsing asymptotic giant branch tpagb phase the gas kinematics of the ring is dominated by rotation in the plane of the galaxy following the large scale disk geometry while at the nucleus an additional outflowing component is detected blueshifted by 300500 kms1 relative to the systemic velocity of the galaxy based on the equivalent width of brgamma we find evidences of gradients in the age of hii regions along the ring of mrk 42 favoring the pearls on a string scenario of star formation the broad component of pabeta emission line presents a full width at half maximum fwhm of sim1480 kms1 implying in a mass of sim25times106m_odot for the central supermassive black hole based on emissionline ratios we conclude that besides the active galactic nucleus mrk 42 presents nuclear starburst activity | [['we', 'present', 'gemini', 'nearinfrared', 'integral', 'field', 'spectrograph', 'nifs', 'observations', 'of', 'the', 'inner', '15times15', 'kpc2', 'of', 'the', 'narrowline', 'seyfert', '1', 'galaxy', 'mrk', '42', 'at', 'a', 'spatial', 'resolution', 'of', '60', 'pc', 'and', 'spectral', 'resolution', 'of', '40', 'km', 's1', 'the', 'emissionline', 'flux', 'and', 'equivalent', 'width', 'maps', 'clearly', 'show', 'a', 'ring', 'of', 'circumnuclear', 'star', 'formation', 'regions', 'cnsfrs', 'surrounding', 'the', 'nucleus', 'with', 'radius', 'of', 'sim500', 'pc', 'the', 'spectra', 'of', 'some', 'of', 'these', 'regions', 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1,802.09472 | The local stability of the magnetized advection-dominated discs with the
radial viscous force | We study local stability of the advection-dominated optically thick (slim)
and optically thin discs with purely toroidal magnetic field and the radial
viscous force using a linear perturbation analysis. Our dispersion relation
indicates that the presence of magnetic fields and radial viscous force cannot
give rise to any new mode of the instability. We find, however, that growth
rate of the thermal mode in the slim discs and that of the acoustic modes in
the slim and optically thin discs are dramatically affected by the radial
viscous force. This force tends to strongly decrease the growth rate of the
outward-propagating acoustic mode (O-mode) at the short-wavelength limit, but
it causes a slim disc to become thermally more unstable. We find that growth
rate of the thermal mode increases in the presence of radial viscous force.
This enhancement is more significant when the viscosity parameter is large. We
also show that growth rate of the O-mode reduces when radial viscous force is
considered. The growth rates of the thermal and acoustic modes depend on the
magnetic field. Although the instability of O-mode for a stronger magnetic
field case has a higher growth rate, the thermal mode of the slim discs can be
suppressed when the magnetic field is strong. The inertial-acoustic instability
of a magnetized disc may explain the quasi-periodic oscillations (QPOs) from
the black holes.
| astro-ph.GA astro-ph.HE | we study local stability of the advectiondominated optically thick slim and optically thin discs with purely toroidal magnetic field and the radial viscous force using a linear perturbation analysis our dispersion relation indicates that the presence of magnetic fields and radial viscous force cannot give rise to any new mode of the instability we find however that growth rate of the thermal mode in the slim discs and that of the acoustic modes in the slim and optically thin discs are dramatically affected by the radial viscous force this force tends to strongly decrease the growth rate of the outwardpropagating acoustic mode omode at the shortwavelength limit but it causes a slim disc to become thermally more unstable we find that growth rate of the thermal mode increases in the presence of radial viscous force this enhancement is more significant when the viscosity parameter is large we also show that growth rate of the omode reduces when radial viscous force is considered the growth rates of the thermal and acoustic modes depend on the magnetic field although the instability of omode for a stronger magnetic field case has a higher growth rate the thermal mode of the slim discs can be suppressed when the magnetic field is strong the inertialacoustic instability of a magnetized disc may explain the quasiperiodic oscillations qpos from the black holes | [['we', 'study', 'local', 'stability', 'of', 'the', 'advectiondominated', 'optically', 'thick', 'slim', 'and', 'optically', 'thin', 'discs', 'with', 'purely', 'toroidal', 'magnetic', 'field', 'and', 'the', 'radial', 'viscous', 'force', 'using', 'a', 'linear', 'perturbation', 'analysis', 'our', 'dispersion', 'relation', 'indicates', 'that', 'the', 'presence', 'of', 'magnetic', 'fields', 'and', 'radial', 'viscous', 'force', 'can', 'not', 'give', 'rise', 'to', 'any', 'new', 'mode', 'of', 'the', 'instability', 'we', 'find', 'however', 'that', 'growth', 'rate', 'of', 'the', 'thermal', 'mode', 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1,802.09473 | Impact of young stellar components on quiescent galaxies: deconstructing
cosmic chronometers | Cosmic chronometers may be used to measure the age difference between
passively evolving galaxy populations to calculate the Hubble parameter H(z).
The age estimator emerges from the relationship between the amplitude of the
rest frame Balmer break at 4000 angstroms and the age of a galaxy, assuming
that there is one single stellar population within each galaxy. However, recent
literature has shown possible contamination (up to 2.4% of the stellar mass in
a high redshift sample) of a young component embedded within the predominantly
old population of the quiescent galaxy.
We compared the data with the predictions of each model, using a new approach
of distinguishing between systematic and statistical errors (in previous works,
these had incorrectly been added in quadrature) and evaluating the effects of
contamination by a young stellar component. The ages inferred using cosmic
chronometers represent a galaxy-wide average rather than a characteristic of
the oldest population alone. The average contribution from the young component
to the rest luminosity at 4000 angstroms may constitute a third of the
luminosity in some samples, which means that this is far from negligible. This
ratio is significantly dependent on stellar mass, proportional to M^{-0.7}.
Consequently, the measurements of the absolute value of the age or the
differential age between different redshifts are incorrect and make the
previous calculations of H(z) very inaccurate. Some cosmological models, such
as the Einstein-de Sitter model or quasi-steady state cosmology, which are
rejected under the assumption of a purely old population, can be made
compatible with the predicted ages of the Universe as a function of redshift if
we take this contamination into account. However, the static Universe models
are rejected by these H(z) measurements, even when this contamination is taken
into account.
| astro-ph.CO astro-ph.GA | cosmic chronometers may be used to measure the age difference between passively evolving galaxy populations to calculate the hubble parameter hz the age estimator emerges from the relationship between the amplitude of the rest frame balmer break at 4000 angstroms and the age of a galaxy assuming that there is one single stellar population within each galaxy however recent literature has shown possible contamination up to 24 of the stellar mass in a high redshift sample of a young component embedded within the predominantly old population of the quiescent galaxy we compared the data with the predictions of each model using a new approach of distinguishing between systematic and statistical errors in previous works these had incorrectly been added in quadrature and evaluating the effects of contamination by a young stellar component the ages inferred using cosmic chronometers represent a galaxywide average rather than a characteristic of the oldest population alone the average contribution from the young component to the rest luminosity at 4000 angstroms may constitute a third of the luminosity in some samples which means that this is far from negligible this ratio is significantly dependent on stellar mass proportional to m07 consequently the measurements of the absolute value of the age or the differential age between different redshifts are incorrect and make the previous calculations of hz very inaccurate some cosmological models such as the einsteinde sitter model or quasisteady state cosmology which are rejected under the assumption of a purely old population can be made compatible with the predicted ages of the universe as a function of redshift if we take this contamination into account however the static universe models are rejected by these hz measurements even when this contamination is taken into account | [['cosmic', 'chronometers', 'may', 'be', 'used', 'to', 'measure', 'the', 'age', 'difference', 'between', 'passively', 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1,802.09474 | An artificial neural network framework for reduced order modeling of
transient flows | This paper proposes a supervised machine learning framework for the
non-intrusive model order reduction of unsteady fluid flows to provide accurate
predictions of non-stationary state variables when the control parameter values
vary. Our approach utilizes a training process from full-order scale direct
numerical simulation data projected on proper orthogonal decomposition (POD)
modes to achieve an artificial neural network (ANN) model with reduced memory
requirements. This data-driven ANN framework allows for a nonlinear time
evolution of the modal coefficients without performing a Galerkin projection.
Our POD-ANN framework can thus be considered an equation-free approach for
latent space dynamics evolution of nonlinear transient systems and can be
applied to a wide range of physical and engineering applications. Within this
framework we introduce two architectures, namely sequential network (SN) and
residual network (RN), to train the trajectory of modal coefficients. We
perform a systematic analysis of the performance of the proposed reduced order
modeling approaches on prediction of a nonlinear wave-propagation problem
governed by the viscous Burgers equation, a simplified prototype setting for
transient flows. We find that the POD-ANN-RN yields stable and accurate results
for test problems assessed both within inside and outside of the database range
and performs significantly better than the standard intrusive Galerkin
projection model. Our results show that the proposed framework provides a
non-intrusive alternative to the evolution of transient physics in a POD basis
spanned space, and can be used as a robust predictive model order reduction
tool for nonlinear dynamical systems.
| physics.flu-dyn physics.comp-ph | this paper proposes a supervised machine learning framework for the nonintrusive model order reduction of unsteady fluid flows to provide accurate predictions of nonstationary state variables when the control parameter values vary our approach utilizes a training process from fullorder scale direct numerical simulation data projected on proper orthogonal decomposition pod modes to achieve an artificial neural network ann model with reduced memory requirements this datadriven ann framework allows for a nonlinear time evolution of the modal coefficients without performing a galerkin projection our podann framework can thus be considered an equationfree approach for latent space dynamics evolution of nonlinear transient systems and can be applied to a wide range of physical and engineering applications within this framework we introduce two architectures namely sequential network sn and residual network rn to train the trajectory of modal coefficients we perform a systematic analysis of the performance of the proposed reduced order modeling approaches on prediction of a nonlinear wavepropagation problem governed by the viscous burgers equation a simplified prototype setting for transient flows we find that the podannrn yields stable and accurate results for test problems assessed both within inside and outside of the database range and performs significantly better than the standard intrusive galerkin projection model our results show that the proposed framework provides a nonintrusive alternative to the evolution of transient physics in a pod basis spanned space and can be used as a robust predictive model order reduction tool for nonlinear dynamical systems | [['this', 'paper', 'proposes', 'a', 'supervised', 'machine', 'learning', 'framework', 'for', 'the', 'nonintrusive', 'model', 'order', 'reduction', 'of', 'unsteady', 'fluid', 'flows', 'to', 'provide', 'accurate', 'predictions', 'of', 'nonstationary', 'state', 'variables', 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1,802.09475 | A singular Sphere Covering Inequality: uniqueness and symmetry of
solutions to singular Liouville-type equations | We derive a singular version of the Sphere Covering Inequality which was
recently introduced in [42], suitable for treating singular Liouville-type
problems with superharmonic weights. As an application we deduce new uniqueness
results for solutions of the singular mean field equation both on spheres and
on bounded domains, as well as new self-contained proofs of previously known
results, such as the uniqueness of spherical convex polytopes first established
in [56]. Furthermore, we derive new symmetry results for the spherical Onsager
vortex equation.
| math.AP | we derive a singular version of the sphere covering inequality which was recently introduced in 42 suitable for treating singular liouvilletype problems with superharmonic weights as an application we deduce new uniqueness results for solutions of the singular mean field equation both on spheres and on bounded domains as well as new selfcontained proofs of previously known results such as the uniqueness of spherical convex polytopes first established in 56 furthermore we derive new symmetry results for the spherical onsager vortex equation | [['we', 'derive', 'a', 'singular', 'version', 'of', 'the', 'sphere', 'covering', 'inequality', 'which', 'was', 'recently', 'introduced', 'in', '42', 'suitable', 'for', 'treating', 'singular', 'liouvilletype', 'problems', 'with', 'superharmonic', 'weights', 'as', 'an', 'application', 'we', 'deduce', 'new', 'uniqueness', 'results', 'for', 'solutions', 'of', 'the', 'singular', 'mean', 'field', 'equation', 'both', 'on', 'spheres', 'and', 'on', 'bounded', 'domains', 'as', 'well', 'as', 'new', 'selfcontained', 'proofs', 'of', 'previously', 'known', 'results', 'such', 'as', 'the', 'uniqueness', 'of', 'spherical', 'convex', 'polytopes', 'first', 'established', 'in', '56', 'furthermore', 'we', 'derive', 'new', 'symmetry', 'results', 'for', 'the', 'spherical', 'onsager', 'vortex', 'equation']] | [-0.08726744154658418, 0.02014149259935593, -0.060269643064224866, 0.08612849754167766, -0.11215638742418732, -0.14369570480364308, -0.006590250169676615, 0.2875572642674897, -0.26428228637726026, -0.2504139622991405, 0.1708220350186954, -0.24546672680937662, -0.168575425632298, 0.24517445130523566, -0.10143686391032733, 0.10927798679643651, 0.00726348910304695, 0.0226856571687499, -0.10191810357373027, -0.23558774547333397, 0.35188668130374534, -0.06355547591498713, 0.21651801734981013, 0.11828435274698522, 0.13334375404058557, 0.04309636606301022, 0.007319402216547509, 0.03568891802711821, -0.23532696548713053, 0.10092489216930983, 0.2088421248297048, 0.06285478234313792, 0.23533752967217347, -0.4169570283010239, -0.1848248379395866, 0.07387571307268312, 0.14396082830229184, 0.10351358045591041, -0.07236979575153361, -0.30866659414477465, 0.06823308000954367, -0.11825870382940261, -0.2535709575125266, -0.128341672589957, 0.015530248560159035, 0.09288873429205723, -0.27538509564701374, 0.11247590247246368, 0.12079015573083492, 0.07797967408579297, -0.18817706336835172, -0.17110967059710586, 0.022780847403493416, 0.05654698284342885, 0.04514652188503888, 0.0069441973862079225, 0.05065033244247344, -0.08963804193431647, -0.14369350379878065, 0.3359860707750181, -0.07690156943721288, -0.23439536713881465, 0.15545263559353062, -0.08598934613145524, -0.15700472306414712, 0.08535669212479417, 0.16108682307005837, 0.18311372197448936, -0.13578254950130586, 0.10984031151250437, -0.13635364700699362, 0.07677646566227805, 0.13975334680843643, 0.007756278657059117, 0.09110521022855055, 0.11124802821474832, 0.15109338257007482, 0.19554049092083714, -0.04180823244926769, -0.11940781027078629, -0.37153156799059817, -0.16716954455620087, -0.20579177246531244, 0.0909328233285966, -0.13532814052983091, -0.20507437233790393, 0.3268721394195426, 0.033428473057361636, 0.1666153974163136, 0.12111059855811707, 0.22303491692547117, 0.12220533919611537, 0.02701117211907375, 0.057742346816400926, 0.24305595482540568, 0.22602635296629514, 0.12276258088063403, -0.0950461483628648, -0.04033851627510313, 0.17755840132747658] |
1,802.09476 | The X-ray Ribs Within the Cocoon Shock of Cygnus A | We use new and archival Chandra observations of Cygnus A, totalling $\sim$1.9
Ms, to investigate the distribution and temperature structure of gas lying
within the projected extent of the cocoon shock and exhibiting a rib-like
structure. We confirm that the X-rays are dominated by thermal emission with an
average temperature of around 4 keV, and have discovered an asymmetry in the
temperature gradient, with the southwestern part of the gas cooler than the
rest by up to 2 keV. Pressure estimates suggest that the gas is a coherent
structure of single origin located inside the cocoon, with a mass of roughly
$2\times10^{10} M_{\odot}$. We conclude that the gas is debris resulting from
disintegration of the cool core of the Cygnus A cluster after the passage of
the jet during the early stages of the current epoch of activity. The 4 keV gas
now lies on the central inside surface of the hotter cocoon rim. The
temperature gradient could result from an offset between the centre of the
cluster core and the Cygnus A host galaxy at the switch-on of current radio
activity.
| astro-ph.HE astro-ph.GA | we use new and archival chandra observations of cygnus a totalling sim19 ms to investigate the distribution and temperature structure of gas lying within the projected extent of the cocoon shock and exhibiting a riblike structure we confirm that the xrays are dominated by thermal emission with an average temperature of around 4 kev and have discovered an asymmetry in the temperature gradient with the southwestern part of the gas cooler than the rest by up to 2 kev pressure estimates suggest that the gas is a coherent structure of single origin located inside the cocoon with a mass of roughly 2times1010 m_odot we conclude that the gas is debris resulting from disintegration of the cool core of the cygnus a cluster after the passage of the jet during the early stages of the current epoch of activity the 4 kev gas now lies on the central inside surface of the hotter cocoon rim the temperature gradient could result from an offset between the centre of the cluster core and the cygnus a host galaxy at the switchon of current radio activity | [['we', 'use', 'new', 'and', 'archival', 'chandra', 'observations', 'of', 'cygnus', 'a', 'totalling', 'sim19', 'ms', 'to', 'investigate', 'the', 'distribution', 'and', 'temperature', 'structure', 'of', 'gas', 'lying', 'within', 'the', 'projected', 'extent', 'of', 'the', 'cocoon', 'shock', 'and', 'exhibiting', 'a', 'riblike', 'structure', 'we', 'confirm', 'that', 'the', 'xrays', 'are', 'dominated', 'by', 'thermal', 'emission', 'with', 'an', 'average', 'temperature', 'of', 'around', '4', 'kev', 'and', 'have', 'discovered', 'an', 'asymmetry', 'in', 'the', 'temperature', 'gradient', 'with', 'the', 'southwestern', 'part', 'of', 'the', 'gas', 'cooler', 'than', 'the', 'rest', 'by', 'up', 'to', '2', 'kev', 'pressure', 'estimates', 'suggest', 'that', 'the', 'gas', 'is', 'a', 'coherent', 'structure', 'of', 'single', 'origin', 'located', 'inside', 'the', 'cocoon', 'with', 'a', 'mass', 'of', 'roughly', '2times1010', 'm_odot', 'we', 'conclude', 'that', 'the', 'gas', 'is', 'debris', 'resulting', 'from', 'disintegration', 'of', 'the', 'cool', 'core', 'of', 'the', 'cygnus', 'a', 'cluster', 'after', 'the', 'passage', 'of', 'the', 'jet', 'during', 'the', 'early', 'stages', 'of', 'the', 'current', 'epoch', 'of', 'activity', 'the', '4', 'kev', 'gas', 'now', 'lies', 'on', 'the', 'central', 'inside', 'surface', 'of', 'the', 'hotter', 'cocoon', 'rim', 'the', 'temperature', 'gradient', 'could', 'result', 'from', 'an', 'offset', 'between', 'the', 'centre', 'of', 'the', 'cluster', 'core', 'and', 'the', 'cygnus', 'a', 'host', 'galaxy', 'at', 'the', 'switchon', 'of', 'current', 'radio', 'activity']] | [-0.07433240070009028, 0.14316648446261118, -0.08169343403555988, 0.03913305553309208, -0.03784870449968135, -0.01713482043011248, 0.05966435487057952, 0.40460410755312903, -0.22075056677262261, -0.32337746173863746, 0.09339273632671273, -0.2919094071605176, 0.018484143946752036, 0.17422722908282312, 0.021638718254874508, -0.0946569699660273, 0.0327294561236927, -0.005980284493519456, -0.08343855669922633, -0.2132604140569636, 0.3086983330203066, 0.1305329168063604, 0.16023315710931482, 0.05149146523944087, 0.09376439633804955, -0.09449960359048036, -0.012525814490197278, -0.03747959603498901, -0.09185301206772986, 0.06397854840866604, 0.14936534383267328, 0.11235409416805037, 0.2375690006375704, -0.38338836243386426, -0.2158500498356246, 0.01943895653905141, 0.16408261019515918, -7.62904284120594e-05, -0.047152367361965306, -0.2732243892390703, 0.05702038583550242, -0.21509816031388485, -0.21639852501832732, 0.1265341632160775, 0.026317883174845857, 0.005799690217747049, -0.15710983790479116, 0.17128756146065027, 0.014488547020951975, 0.059724684651119075, -0.1318453210843367, -0.08656164631762063, -0.06352519217070748, 0.06252181961957509, 0.019466284964779052, 0.0989306127750289, 0.25006255608062306, -0.14252992925228994, -0.03214796724631477, 0.3788301274694955, -0.06832813184866901, 0.06114061592784788, 0.21459202404720554, -0.23861380813717945, -0.14186703371789655, 0.21587140643480363, 0.12883056521297365, 0.07599895675177815, -0.11248158339445752, 0.0076423292263740296, -0.04508504867991072, 0.21512748983956215, 0.06070812548721693, -0.0044546441794263755, 0.33853677347384764, 0.14504717379288737, 0.03871121940470573, 0.16297527273489132, -0.259708365074292, -0.05022335589158436, -0.2613035921336702, -0.11693521529321625, -0.12110148414516647, 0.059294433353561396, -0.11944340063908294, -0.12208454453165113, 0.3721812324175863, 0.0873323647930539, 0.24766338568242544, -0.009326335577839646, 0.31705265305936337, 0.07551620138592977, 0.08237232206625998, 0.18747960716918194, 0.2886804492413504, 0.1905829227910228, 0.11091005571124797, -0.2616918909322285, 0.05211724128409479, -0.006385769823679279] |
1,802.09477 | Addressing Function Approximation Error in Actor-Critic Methods | In value-based reinforcement learning methods such as deep Q-learning,
function approximation errors are known to lead to overestimated value
estimates and suboptimal policies. We show that this problem persists in an
actor-critic setting and propose novel mechanisms to minimize its effects on
both the actor and the critic. Our algorithm builds on Double Q-learning, by
taking the minimum value between a pair of critics to limit overestimation. We
draw the connection between target networks and overestimation bias, and
suggest delaying policy updates to reduce per-update error and further improve
performance. We evaluate our method on the suite of OpenAI gym tasks,
outperforming the state of the art in every environment tested.
| cs.AI cs.LG stat.ML | in valuebased reinforcement learning methods such as deep qlearning function approximation errors are known to lead to overestimated value estimates and suboptimal policies we show that this problem persists in an actorcritic setting and propose novel mechanisms to minimize its effects on both the actor and the critic our algorithm builds on double qlearning by taking the minimum value between a pair of critics to limit overestimation we draw the connection between target networks and overestimation bias and suggest delaying policy updates to reduce perupdate error and further improve performance we evaluate our method on the suite of openai gym tasks outperforming the state of the art in every environment tested | [['in', 'valuebased', 'reinforcement', 'learning', 'methods', 'such', 'as', 'deep', 'qlearning', 'function', 'approximation', 'errors', 'are', 'known', 'to', 'lead', 'to', 'overestimated', 'value', 'estimates', 'and', 'suboptimal', 'policies', 'we', 'show', 'that', 'this', 'problem', 'persists', 'in', 'an', 'actorcritic', 'setting', 'and', 'propose', 'novel', 'mechanisms', 'to', 'minimize', 'its', 'effects', 'on', 'both', 'the', 'actor', 'and', 'the', 'critic', 'our', 'algorithm', 'builds', 'on', 'double', 'qlearning', 'by', 'taking', 'the', 'minimum', 'value', 'between', 'a', 'pair', 'of', 'critics', 'to', 'limit', 'overestimation', 'we', 'draw', 'the', 'connection', 'between', 'target', 'networks', 'and', 'overestimation', 'bias', 'and', 'suggest', 'delaying', 'policy', 'updates', 'to', 'reduce', 'perupdate', 'error', 'and', 'further', 'improve', 'performance', 'we', 'evaluate', 'our', 'method', 'on', 'the', 'suite', 'of', 'openai', 'gym', 'tasks', 'outperforming', 'the', 'state', 'of', 'the', 'art', 'in', 'every', 'environment', 'tested']] | [-0.05176733242901596, -0.031984299382374216, -0.09675929436317503, 0.08325406905003563, -0.09372166983221096, -0.1361293531366968, 0.1382242401480792, 0.4582633702063446, -0.2709217601044624, -0.3601238264593187, 0.06070594083589107, -0.2529379697264852, -0.17751807786591417, 0.18585896815869724, -0.16546536482837018, 0.05267756296739167, 0.11834787832455593, -0.008643172477867018, -0.097126438406187, -0.2975188415782811, 0.28492438080007426, 0.057157351280644385, 0.31951926060666974, 0.058719762223395144, 0.14959681713492148, 0.0006548806831979, 0.01726915905050732, -0.013525787254308795, -0.08999133347524467, 0.10104008429150961, 0.2568037285310057, 0.1923387283752966, 0.3882008642377751, -0.39620187502172943, -0.1861195122185457, 0.12789832088815234, 0.11371257974397021, 0.09722124807471577, -0.010217518404100996, -0.3171802492443103, 0.09164177160028385, -0.20861292846484092, -0.015425681568648632, -0.10015431397200168, -0.061274322477664366, 0.02015743352816784, -0.31752419290510386, 0.036402631272443337, 0.043599004838363944, -0.008800764094098463, -0.06946329771528474, -0.1770512626867171, 0.062159132975917145, 0.1757171672689183, 0.06391697992814017, 0.07943517335078067, 0.1781021009093394, -0.15715964246683634, -0.18752298117321622, 0.30318789804975194, -0.09131366755343504, -0.17536039205754664, 0.15707344426626657, -0.012660662404488068, -0.10963324647656902, 0.07039258293471895, 0.26909684750612256, 0.13594457855330663, -0.09563479608193308, 0.0052951851845005745, 0.009362487690858878, 0.1541901904384832, 0.009408173306534687, -0.01737198197945684, 0.10762131447601761, 0.22967425241294476, 0.10578427249817429, 0.14153040087878072, -0.07288919222071297, -0.13653706525230092, -0.21979891094232296, -0.096840043431085, -0.14652697187806438, -0.019948611132431408, -0.10742677105847653, -0.15055826608393644, 0.3220858123187009, 0.26859949547629636, 0.20566371062283847, 0.13921116562644104, 0.34904534334467874, 0.08969410934363836, 0.06297402201757372, 0.15081175514035397, 0.25906233197531187, 0.05458841808056375, 0.08597564791656427, -0.27147652608183054, 0.14633507284058914, 0.06013523910308953] |
1,802.09478 | In-database connected component analysis | We describe a Big Data-practical, SQL-implementable algorithm for efficiently
determining connected components for graph data stored in a Massively Parallel
Processing (MPP) relational database. The algorithm described is a
linear-space, randomised algorithm, always terminating with the correct answer
but subject to a stochastic running time, such that for any $\epsilon>0$ and
any input graph $G=\langle V, E \rangle$ the algorithm terminates after
$\mathop{\text{O}}(\log |V|)$ SQL queries with probability of at least
$1-\epsilon$, which we show empirically to translate to a quasi-linear runtime
in practice.
| cs.DS cs.DC | we describe a big datapractical sqlimplementable algorithm for efficiently determining connected components for graph data stored in a massively parallel processing mpp relational database the algorithm described is a linearspace randomised algorithm always terminating with the correct answer but subject to a stochastic running time such that for any epsilon0 and any input graph glangle v e rangle the algorithm terminates after mathoptextolog v sql queries with probability of at least 1epsilon which we show empirically to translate to a quasilinear runtime in practice | [['we', 'describe', 'a', 'big', 'datapractical', 'sqlimplementable', 'algorithm', 'for', 'efficiently', 'determining', 'connected', 'components', 'for', 'graph', 'data', 'stored', 'in', 'a', 'massively', 'parallel', 'processing', 'mpp', 'relational', 'database', 'the', 'algorithm', 'described', 'is', 'a', 'linearspace', 'randomised', 'algorithm', 'always', 'terminating', 'with', 'the', 'correct', 'answer', 'but', 'subject', 'to', 'a', 'stochastic', 'running', 'time', 'such', 'that', 'for', 'any', 'epsilon0', 'and', 'any', 'input', 'graph', 'glangle', 'v', 'e', 'rangle', 'the', 'algorithm', 'terminates', 'after', 'mathoptextolog', 'v', 'sql', 'queries', 'with', 'probability', 'of', 'at', 'least', '1epsilon', 'which', 'we', 'show', 'empirically', 'to', 'translate', 'to', 'a', 'quasilinear', 'runtime', 'in', 'practice']] | [-0.1612422788935357, 0.04393330975263207, -0.0722029500980114, 0.07506106119677654, -0.0785506472658412, -0.23409283980094817, 0.09150833009532365, 0.40459827505006096, -0.33179954361216524, -0.3417853372355486, 0.05919074640540337, -0.2539267104211045, -0.09438716698104492, 0.17827929486808033, -0.06056827506234432, 0.08433079575820837, 0.13478229349376858, 0.08598149990674431, -0.0008182685310595934, -0.3138923305755102, 0.2072168652796083, -0.0030057332823397935, 0.18860414496588487, 0.010123849512986194, 0.12631311706974413, 0.016689845314824286, -0.005394749717074044, 0.08116109809481803, -0.10251705204526518, 0.05313640655259843, 0.3293294324367135, 0.2525423600188928, 0.30233969083515766, -0.4163440404068909, -0.08612233111749829, 0.16993804445007332, 0.13689948457406753, 0.09662547774101252, -0.01158044975463669, -0.23590978875434326, 0.15785721173785902, -0.10745424239171876, -0.041313891204212, -0.07327241406856495, 0.0934810966345263, -0.02402113192933209, -0.334706823021047, -0.026493990540872387, 0.09051768677194177, -0.005460895695666104, 0.017883173221676252, -0.08261573785034951, 0.054526640142509596, 0.05289609003007228, -0.07098619906004006, 0.13241231461618969, 0.08534355309251467, -0.07959566142749225, -0.17239127938569535, 0.3900298042809246, -0.06984659689651043, -0.1328376773169931, 0.07744806201806591, -0.07760852479600824, -0.19109005504575224, 0.13114403534887564, 0.19256571889423799, 0.10899168881875129, -0.11322829169853602, 0.16998717563600857, -0.04155894952077407, 0.22202939434367933, 0.08582841716261212, -0.04932981702775039, 0.10530907799846229, 0.16336240508467142, 0.11172597037466965, 0.10915505161715879, 0.019208451537530362, -0.044201585947087514, -0.3051550659109597, -0.16818379723455434, -0.21221881736081416, 0.02056037202401282, -0.16006341885849346, -0.2322227198768545, 0.3482159966441952, 0.1794936003761343, 0.21781369965569472, 0.1403761003985656, 0.34488946111458874, 0.11091924996264739, 0.052746148435054, 0.2558810036589196, 0.049547659417177425, 0.028463087476542748, 0.09787669377746405, -0.1905523834830541, 0.11596442453482729, 0.07855140297662144] |
1,802.09479 | One-step Targeted Maximum Likelihood for Time-to-event Outcomes | Current Targeted Maximum Likelihood Estimation (TMLE) methods used to analyze
time-to-event data estimate the survival probability for each time point
separately, which result in estimates that are not necessarily monotone. In
this paper, we present an extension of TMLE for observational time-to-event
data, the one-step Targeted Maximum Likelihood Estimator for the treatment-rule
specific survival curve. We construct a one-dimensional universal least
favorable submodel that targets the entire survival curve, and thereby requires
minimal extra fitting with data to achieve its goal of solving the efficient
influence curve equation. Through the use of a simulation study, we will show
that this method improves on previously proposed methods in both robustness and
efficiency, and at the same time respects the monotone decreasing nature of the
survival curve.
| stat.ME | current targeted maximum likelihood estimation tmle methods used to analyze timetoevent data estimate the survival probability for each time point separately which result in estimates that are not necessarily monotone in this paper we present an extension of tmle for observational timetoevent data the onestep targeted maximum likelihood estimator for the treatmentrule specific survival curve we construct a onedimensional universal least favorable submodel that targets the entire survival curve and thereby requires minimal extra fitting with data to achieve its goal of solving the efficient influence curve equation through the use of a simulation study we will show that this method improves on previously proposed methods in both robustness and efficiency and at the same time respects the monotone decreasing nature of the survival curve | [['current', 'targeted', 'maximum', 'likelihood', 'estimation', 'tmle', 'methods', 'used', 'to', 'analyze', 'timetoevent', 'data', 'estimate', 'the', 'survival', 'probability', 'for', 'each', 'time', 'point', 'separately', 'which', 'result', 'in', 'estimates', 'that', 'are', 'not', 'necessarily', 'monotone', 'in', 'this', 'paper', 'we', 'present', 'an', 'extension', 'of', 'tmle', 'for', 'observational', 'timetoevent', 'data', 'the', 'onestep', 'targeted', 'maximum', 'likelihood', 'estimator', 'for', 'the', 'treatmentrule', 'specific', 'survival', 'curve', 'we', 'construct', 'a', 'onedimensional', 'universal', 'least', 'favorable', 'submodel', 'that', 'targets', 'the', 'entire', 'survival', 'curve', 'and', 'thereby', 'requires', 'minimal', 'extra', 'fitting', 'with', 'data', 'to', 'achieve', 'its', 'goal', 'of', 'solving', 'the', 'efficient', 'influence', 'curve', 'equation', 'through', 'the', 'use', 'of', 'a', 'simulation', 'study', 'we', 'will', 'show', 'that', 'this', 'method', 'improves', 'on', 'previously', 'proposed', 'methods', 'in', 'both', 'robustness', 'and', 'efficiency', 'and', 'at', 'the', 'same', 'time', 'respects', 'the', 'monotone', 'decreasing', 'nature', 'of', 'the', 'survival', 'curve']] | [-0.060396064110400695, 6.553658855526948e-05, -0.1115501147878897, 0.09374228698265318, -0.07830928432034148, -0.17205093921567763, 0.10301303806350447, 0.3912775069587834, -0.22134379119116573, -0.27778996141897816, 0.13716837483356828, -0.2670059064703603, -0.11803445869525368, 0.1984704461008791, -0.09368419541879708, 0.1169414348630873, 0.10034967000941716, 0.007349672156476205, -0.07329572784721912, -0.29536521886926026, 0.2772427230412441, 0.0703123791796726, 0.3279233373567319, -0.0011757722372309335, 0.09590484617154053, 0.07105633393747403, -0.050317477464916244, -0.012151459862868632, -0.17377811597162368, 0.11710306126323919, 0.24879550107664639, 0.21485155127612093, 0.279620548484907, -0.36566963740023634, -0.24849773192357633, 0.19169626495380315, 0.1525551599446654, 0.08479243344552215, -0.03397449236288066, -0.19872663492494594, 0.05561184936067871, -0.14775533125465434, -0.1576907336636777, -0.07351639125526192, -0.011180032705587725, 0.02299473410464763, -0.3134906500795736, 0.08941170272807922, 0.037707213552728776, 0.04368863488367248, -0.05577663128403196, -0.12299967604884578, -0.028162073362768898, 0.08030430394254866, 0.06535740982977703, 0.02217970417264188, 0.08476369421283204, -0.11393039476411838, -0.10333253442865586, 0.2951647375199583, -0.0900080053139508, -0.2027986647125574, 0.144772318469721, -0.1334515429222055, -0.15562588786105475, 0.13975969348816322, 0.20831075203492336, 0.15091946262175276, -0.18397082260531944, 0.025767492605917788, -0.007487516442779452, 0.15195063088603708, -0.010974618084278078, -0.0325853414645779, 0.15072264940658164, 0.1930866714138838, 0.10171466998215165, 0.13039129267957422, -0.14352652884178585, -0.0876952312819119, -0.314161557013229, -0.14650808187622216, -0.17254339063900612, -0.032167526087681426, -0.12058211798789524, -0.16528633638705698, 0.41274502047247463, 0.19751650800812529, 0.20201603147471625, 0.13293389465580996, 0.3172367898927581, 0.12621422522070427, 0.027156758140922794, 0.08206679617550465, 0.19322184285885025, 0.06424716679799941, 0.013602482175619731, -0.24813894572998246, 0.14719893180036678, 0.026369435864786107] |
1,802.0948 | Tornado: A Practical And Efficient Heterogeneous Programming Framework
For Managed Languages | This paper describes our experiences creating Tornado: a practical and
efficient heterogeneous programming framework for managed languages. The novel
aspect of Tornado is that it turns the programming of heterogeneous systems
from an activity predominantly based on a priori knowledge into one based on a
posteriori knowledge. Alternatively put, it simply means developers do not need
to overcomplicate their code by catering for all possible eventualities.
Instead, Tornado provides the ability to specialize each application for a
specific system in situ which avoids the need for it to be pre-configured by
the developer. To enable this, Tornado employs a sophisticated runtime system
that can dynamically configure all aspects of the application - from selecting
which parallelization scheme to apply to specifying which accelerators to use.
By using this ability, the end-user, and not the developer, can transparently
make use of any available multi-/many-core processor or hardware accelerator.
To showcase the impact of Tornado, we implement a real-world computer vision
application and deploy it across nine accelerators without having to modify the
source code or even explicitly re-compile the application. Using dynamic
configuration, we show that our implementation can achieve up to 124 frames per
second (FPS) - up to 166x speedup over the reference implementation. Finally,
our implementation is always within 21% of a hand-written OpenCL version but
avoids much of the programming tedium.
| cs.PL | this paper describes our experiences creating tornado a practical and efficient heterogeneous programming framework for managed languages the novel aspect of tornado is that it turns the programming of heterogeneous systems from an activity predominantly based on a priori knowledge into one based on a posteriori knowledge alternatively put it simply means developers do not need to overcomplicate their code by catering for all possible eventualities instead tornado provides the ability to specialize each application for a specific system in situ which avoids the need for it to be preconfigured by the developer to enable this tornado employs a sophisticated runtime system that can dynamically configure all aspects of the application from selecting which parallelization scheme to apply to specifying which accelerators to use by using this ability the enduser and not the developer can transparently make use of any available multimanycore processor or hardware accelerator to showcase the impact of tornado we implement a realworld computer vision application and deploy it across nine accelerators without having to modify the source code or even explicitly recompile the application using dynamic configuration we show that our implementation can achieve up to 124 frames per second fps up to 166x speedup over the reference implementation finally our implementation is always within 21 of a handwritten opencl version but avoids much of the programming tedium | [['this', 'paper', 'describes', 'our', 'experiences', 'creating', 'tornado', 'a', 'practical', 'and', 'efficient', 'heterogeneous', 'programming', 'framework', 'for', 'managed', 'languages', 'the', 'novel', 'aspect', 'of', 'tornado', 'is', 'that', 'it', 'turns', 'the', 'programming', 'of', 'heterogeneous', 'systems', 'from', 'an', 'activity', 'predominantly', 'based', 'on', 'a', 'priori', 'knowledge', 'into', 'one', 'based', 'on', 'a', 'posteriori', 'knowledge', 'alternatively', 'put', 'it', 'simply', 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1,802.09481 | Coupling between criticality and gelation in "sticky" spheres: A
structural analysis | We combine experiments and simulations to study the link between criticality
and gelation in sticky spheres. We employ confocal microscopy to image
colloid-polymer mixtures, and Monte Carlo simulations of the square-well (SW)
potential as a reference model. To this end, we map our experimental samples
onto the SW model. We find excellent structural agreement between experiments
and simulations, both for locally favored structures at the single particle
level and large-scale fluctuations at criticality. We follow in detail the
rapid structural change of the critical fluid when approaching the gas-liquid
binodal and highlight the role of critical density fluctuations for this
structural crossover. Our results link the arrested spinodal decomposition to
long-lived energetically favored structures, which grow even away from the
binodal due to the critical scaling of the bulk correlation length and static
susceptibility.
| cond-mat.soft | we combine experiments and simulations to study the link between criticality and gelation in sticky spheres we employ confocal microscopy to image colloidpolymer mixtures and monte carlo simulations of the squarewell sw potential as a reference model to this end we map our experimental samples onto the sw model we find excellent structural agreement between experiments and simulations both for locally favored structures at the single particle level and largescale fluctuations at criticality we follow in detail the rapid structural change of the critical fluid when approaching the gasliquid binodal and highlight the role of critical density fluctuations for this structural crossover our results link the arrested spinodal decomposition to longlived energetically favored structures which grow even away from the binodal due to the critical scaling of the bulk correlation length and static susceptibility | [['we', 'combine', 'experiments', 'and', 'simulations', 'to', 'study', 'the', 'link', 'between', 'criticality', 'and', 'gelation', 'in', 'sticky', 'spheres', 'we', 'employ', 'confocal', 'microscopy', 'to', 'image', 'colloidpolymer', 'mixtures', 'and', 'monte', 'carlo', 'simulations', 'of', 'the', 'squarewell', 'sw', 'potential', 'as', 'a', 'reference', 'model', 'to', 'this', 'end', 'we', 'map', 'our', 'experimental', 'samples', 'onto', 'the', 'sw', 'model', 'we', 'find', 'excellent', 'structural', 'agreement', 'between', 'experiments', 'and', 'simulations', 'both', 'for', 'locally', 'favored', 'structures', 'at', 'the', 'single', 'particle', 'level', 'and', 'largescale', 'fluctuations', 'at', 'criticality', 'we', 'follow', 'in', 'detail', 'the', 'rapid', 'structural', 'change', 'of', 'the', 'critical', 'fluid', 'when', 'approaching', 'the', 'gasliquid', 'binodal', 'and', 'highlight', 'the', 'role', 'of', 'critical', 'density', 'fluctuations', 'for', 'this', 'structural', 'crossover', 'our', 'results', 'link', 'the', 'arrested', 'spinodal', 'decomposition', 'to', 'longlived', 'energetically', 'favored', 'structures', 'which', 'grow', 'even', 'away', 'from', 'the', 'binodal', 'due', 'to', 'the', 'critical', 'scaling', 'of', 'the', 'bulk', 'correlation', 'length', 'and', 'static', 'susceptibility']] | [-0.10576204527099964, 0.1565021372351573, -0.11802494597843667, 0.05840428893058213, 0.02715118150852287, -0.13269763185170047, 0.08139118836426398, 0.38412948843758943, -0.2967495229859739, -0.2703436470465429, 0.05306832749334011, -0.32857241015316596, -0.17684325429875014, 0.13031059775046253, 0.07096338567476887, 0.0646702213101645, 0.041420754297191636, -0.0443753203804563, -0.10518012701450333, -0.16849256450407651, 0.2885175660085767, 0.10367745562081239, 0.3187417583679085, 0.07988750030731422, 0.04708090068515279, -0.0017752106259785482, 0.04273136074779861, 0.06301525014508237, -0.24772942508918358, 0.048855322350594976, 0.23373252600031807, -0.008124856014193884, 0.17380409722280282, -0.4383145289968199, -0.22423045864891705, 0.10472181522454233, 0.162973499888165, 0.12057386531143574, -0.06267982320651523, -0.2572613845843433, 0.06439476321649446, -0.12862146421293938, -0.14093495979071108, -0.10076490906240947, -0.014919972735276418, 0.03282116212944653, -0.24200937586641913, 0.14875231691941954, 0.007144001764314833, 0.07956664878249502, -0.09516347482115892, -0.06282987525867326, -0.04266248157581509, 0.13371145651078914, 0.03811015002168854, 0.05576268078367497, 0.2209341933658875, -0.15885590928356483, -0.06782011034048802, 0.35649861187549003, -0.030734062004563356, -0.1189396980621699, 0.2922866250972138, -0.171021150529329, -0.1226299364526353, 0.1598214436332876, 0.1381619920286892, 0.060171243116092774, -0.06025695610227178, 0.01564263549690663, 0.013388900867308866, 0.18663750916594335, 0.05574905021296842, -0.0646467509635732, 0.2502778518785125, 0.2035379770277902, -0.009236705260101095, 0.1919428470506291, -0.13529656171701404, -0.1982042629292596, -0.24587882066201142, -0.15093078660090634, -0.1678472190257857, -0.016323034373570734, -0.14667016825799, -0.19134391098850756, 0.327768247171458, 0.19490398732083503, 0.21191745750439256, 0.0399181615959144, 0.26797309252624607, 0.03024390818804864, 0.012402378863641131, 0.02786053040884991, 0.23688980919976177, 0.12264505853449036, 0.12235634407348264, -0.27250232282546416, 0.04199987159756972, 0.03563288170601061] |
1,802.09482 | On the (un)effectiveness of Proton Boron Capture in Proton Therapy | We present calculations and simulations on the role of the
p+$^{11}$B$\to$3$\alpha$ reaction in proton therapy. This reaction has been
recently suggested to be responsible for a decrease in the survival probability
of tumor cells, when they are irradiated with low-energy protons. However, at
the concentration levels typical of the proposed boron carrier (sodium
borocaptate, Na$_{2}$B$_{12}$H$_{11}$SH, in short BSH), i.e. less than 100 ppm,
both calculations and Monte Carlo simulations suggest that the dose related to
this reaction is orders of magnitude lower than the dose delivered by the
primary proton beam inside the tissues. These calculations cast some doubts on
the claim of an important role played by Proton Boron Capture in enhancing the
therapeutic effectiveness of proton therapy, and suggest that other mechanisms
should be investigated in order to explain the observed decrease in the
survival probability.
| physics.med-ph | we present calculations and simulations on the role of the p11bto3alpha reaction in proton therapy this reaction has been recently suggested to be responsible for a decrease in the survival probability of tumor cells when they are irradiated with lowenergy protons however at the concentration levels typical of the proposed boron carrier sodium borocaptate na_2b_12h_11sh in short bsh ie less than 100 ppm both calculations and monte carlo simulations suggest that the dose related to this reaction is orders of magnitude lower than the dose delivered by the primary proton beam inside the tissues these calculations cast some doubts on the claim of an important role played by proton boron capture in enhancing the therapeutic effectiveness of proton therapy and suggest that other mechanisms should be investigated in order to explain the observed decrease in the survival probability | [['we', 'present', 'calculations', 'and', 'simulations', 'on', 'the', 'role', 'of', 'the', 'p11bto3alpha', 'reaction', 'in', 'proton', 'therapy', 'this', 'reaction', 'has', 'been', 'recently', 'suggested', 'to', 'be', 'responsible', 'for', 'a', 'decrease', 'in', 'the', 'survival', 'probability', 'of', 'tumor', 'cells', 'when', 'they', 'are', 'irradiated', 'with', 'lowenergy', 'protons', 'however', 'at', 'the', 'concentration', 'levels', 'typical', 'of', 'the', 'proposed', 'boron', 'carrier', 'sodium', 'borocaptate', 'na_2b_12h_11sh', 'in', 'short', 'bsh', 'ie', 'less', 'than', '100', 'ppm', 'both', 'calculations', 'and', 'monte', 'carlo', 'simulations', 'suggest', 'that', 'the', 'dose', 'related', 'to', 'this', 'reaction', 'is', 'orders', 'of', 'magnitude', 'lower', 'than', 'the', 'dose', 'delivered', 'by', 'the', 'primary', 'proton', 'beam', 'inside', 'the', 'tissues', 'these', 'calculations', 'cast', 'some', 'doubts', 'on', 'the', 'claim', 'of', 'an', 'important', 'role', 'played', 'by', 'proton', 'boron', 'capture', 'in', 'enhancing', 'the', 'therapeutic', 'effectiveness', 'of', 'proton', 'therapy', 'and', 'suggest', 'that', 'other', 'mechanisms', 'should', 'be', 'investigated', 'in', 'order', 'to', 'explain', 'the', 'observed', 'decrease', 'in', 'the', 'survival', 'probability']] | [-0.009478743429537173, 0.18933523257049575, -0.031222003500658537, 0.09086751376571893, 0.04543359456238923, -0.08136258864326885, 0.03631047002660732, 0.3977581260493025, -0.17195293234178313, -0.3190342694245003, 0.019632389439545848, -0.31569604674975077, -0.08288157487426091, 0.19242843744276023, -0.03157806235831231, 0.039163232242895495, 0.04579133883256603, 0.02029206857637123, -0.01905940331052989, -0.2408348062524089, 0.2514627587498614, 0.17540785395712763, 0.2902726400988521, 0.14070844080437112, 0.048070701385882715, -0.0007454958054478522, -0.0038005733897012693, -0.01873635585523314, -0.13039720346170253, 0.10703260979994579, 0.2763111565331066, 0.08453124404057033, 0.26573157144227516, -0.51501013909777, -0.2695176962970032, 0.08258815727679542, 0.15813664096166138, 0.0792251124046743, -0.10424925301534434, -0.20601939161618552, 0.09257644785447391, -0.16285496875471264, -0.13604052470376093, -0.03018112203658179, 0.002144665058046855, 0.04457638995221781, -0.24929221486327824, 0.07142572436585194, -0.0019397651017815979, 0.05182297055601979, -0.11871995546303138, -0.19828379370824054, -0.025411893951672093, 0.07980335938541598, 0.11967014663732024, 0.05211482611635734, 0.19962148346972686, -0.11976797862530307, -0.1045941489369229, 0.37770975011366387, 0.006987811405754958, -0.12966654199968886, 0.14400799897050967, -0.20638630279098397, -0.10113205864548001, 0.21102439721494362, 0.1531880697304452, 0.13093175477934657, -0.15690062641289032, -0.03653401462490567, 0.03829292346641456, 0.1795725500556054, 0.1112742486409843, 0.0007381709706452158, 0.17578290701774812, 0.24844812008345293, -0.029372484850938674, 0.07154445116865207, -0.1344393414583195, -0.0759940806483091, -0.21458297691963338, -0.16011143981099682, -0.10352293241217181, 0.05933453604854919, -0.05440764098085411, -0.09668951677848343, 0.3476184552742375, 0.16109071191469276, 0.15044263485060247, -0.029314807754147937, 0.26174078281899843, 0.11286934752500168, 0.10151814910393485, 0.005038151229490285, 0.27429900889358205, 0.12069600435939652, 0.058240498467865914, -0.2995068878728758, 0.19002847666334774, 0.004718636800707491] |
1,802.09483 | Physical Constraints on Quantum Deformations of Spacetime Symmetries | In this work we study the deformations into Lie bialgebras of the three
relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincar\'e, which
describe the symmetries of the three maximally symmetric spacetimes. These
algebras represent the centrepiece of the kinematics of special relativity (and
its analogue in (Anti-)de Sitter spacetime), and provide the simplest framework
to build physical models in which inertial observers are equivalent. Such a
property can be expected to be preserved by Quantum Gravity, a theory which
should build a length/energy scale into the microscopic structure of spacetime.
Quantum groups, and their infinitesimal version `Lie bialgebras', allow to
encode such a scale into a noncommutativity of the algebra of functions over
the group (and over spacetime, when the group acts on a homogeneous space). In
2+1 dimensions we have evidence that the vacuum state of Quantum Gravity is one
such `noncommutative spacetime' whose symmetries are described by a Lie
bialgebra. It is then of great interest to study the possible Lie bialgebra
deformations of the relativistic Lie algebras. In this paper, we develop a
classification of such deformations in 2, 3 and 4 spacetime dimensions, based
on physical requirements based on dimensional analysis, on various degrees of
`manifest isotropy' (which implies that certain symmetries, i.e. Lorentz
transformations or rotations, are `more classical'), and on discrete symmetries
like P and T. On top of a series of new results in 3 and 4 dimensions, we find
a no-go theorem for the Lie bialgebras in 4 dimensions, which singles out the
well-known `$\kappa$-deformation' as the only one that depends on the first
power of the Planck length, or, alternatively, that possesses `manifest'
spatial isotropy.
| hep-th | in this work we study the deformations into lie bialgebras of the three relativistic lie algebras de sitter antide sitter and poincare which describe the symmetries of the three maximally symmetric spacetimes these algebras represent the centrepiece of the kinematics of special relativity and its analogue in antide sitter spacetime and provide the simplest framework to build physical models in which inertial observers are equivalent such a property can be expected to be preserved by quantum gravity a theory which should build a lengthenergy scale into the microscopic structure of spacetime quantum groups and their infinitesimal version lie bialgebras allow to encode such a scale into a noncommutativity of the algebra of functions over the group and over spacetime when the group acts on a homogeneous space in 21 dimensions we have evidence that the vacuum state of quantum gravity is one such noncommutative spacetime whose symmetries are described by a lie bialgebra it is then of great interest to study the possible lie bialgebra deformations of the relativistic lie algebras in this paper we develop a classification of such deformations in 2 3 and 4 spacetime dimensions based on physical requirements based on dimensional analysis on various degrees of manifest isotropy which implies that certain symmetries ie lorentz transformations or rotations are more classical and on discrete symmetries like p and t on top of a series of new results in 3 and 4 dimensions we find a nogo theorem for the lie bialgebras in 4 dimensions which singles out the wellknown kappadeformation as the only one that depends on the first power of the planck length or alternatively that possesses manifest spatial isotropy | [['in', 'this', 'work', 'we', 'study', 'the', 'deformations', 'into', 'lie', 'bialgebras', 'of', 'the', 'three', 'relativistic', 'lie', 'algebras', 'de', 'sitter', 'antide', 'sitter', 'and', 'poincare', 'which', 'describe', 'the', 'symmetries', 'of', 'the', 'three', 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1,802.09484 | Disentangling the independently controllable factors of variation by
interacting with the world | It has been postulated that a good representation is one that disentangles
the underlying explanatory factors of variation. However, it remains an open
question what kind of training framework could potentially achieve that.
Whereas most previous work focuses on the static setting (e.g., with images),
we postulate that some of the causal factors could be discovered if the learner
is allowed to interact with its environment. The agent can experiment with
different actions and observe their effects. More specifically, we hypothesize
that some of these factors correspond to aspects of the environment which are
independently controllable, i.e., that there exists a policy and a learnable
feature for each such aspect of the environment, such that this policy can
yield changes in that feature with minimal changes to other features that
explain the statistical variations in the observed data. We propose a specific
objective function to find such factors, and verify experimentally that it can
indeed disentangle independently controllable aspects of the environment
without any extrinsic reward signal.
| stat.ML cs.LG | it has been postulated that a good representation is one that disentangles the underlying explanatory factors of variation however it remains an open question what kind of training framework could potentially achieve that whereas most previous work focuses on the static setting eg with images we postulate that some of the causal factors could be discovered if the learner is allowed to interact with its environment the agent can experiment with different actions and observe their effects more specifically we hypothesize that some of these factors correspond to aspects of the environment which are independently controllable ie that there exists a policy and a learnable feature for each such aspect of the environment such that this policy can yield changes in that feature with minimal changes to other features that explain the statistical variations in the observed data we propose a specific objective function to find such factors and verify experimentally that it can indeed disentangle independently controllable aspects of the environment without any extrinsic reward signal | [['it', 'has', 'been', 'postulated', 'that', 'a', 'good', 'representation', 'is', 'one', 'that', 'disentangles', 'the', 'underlying', 'explanatory', 'factors', 'of', 'variation', 'however', 'it', 'remains', 'an', 'open', 'question', 'what', 'kind', 'of', 'training', 'framework', 'could', 'potentially', 'achieve', 'that', 'whereas', 'most', 'previous', 'work', 'focuses', 'on', 'the', 'static', 'setting', 'eg', 'with', 'images', 'we', 'postulate', 'that', 'some', 'of', 'the', 'causal', 'factors', 'could', 'be', 'discovered', 'if', 'the', 'learner', 'is', 'allowed', 'to', 'interact', 'with', 'its', 'environment', 'the', 'agent', 'can', 'experiment', 'with', 'different', 'actions', 'and', 'observe', 'their', 'effects', 'more', 'specifically', 'we', 'hypothesize', 'that', 'some', 'of', 'these', 'factors', 'correspond', 'to', 'aspects', 'of', 'the', 'environment', 'which', 'are', 'independently', 'controllable', 'ie', 'that', 'there', 'exists', 'a', 'policy', 'and', 'a', 'learnable', 'feature', 'for', 'each', 'such', 'aspect', 'of', 'the', 'environment', 'such', 'that', 'this', 'policy', 'can', 'yield', 'changes', 'in', 'that', 'feature', 'with', 'minimal', 'changes', 'to', 'other', 'features', 'that', 'explain', 'the', 'statistical', 'variations', 'in', 'the', 'observed', 'data', 'we', 'propose', 'a', 'specific', 'objective', 'function', 'to', 'find', 'such', 'factors', 'and', 'verify', 'experimentally', 'that', 'it', 'can', 'indeed', 'disentangle', 'independently', 'controllable', 'aspects', 'of', 'the', 'environment', 'without', 'any', 'extrinsic', 'reward', 'signal']] | [-0.08287886480039577, 0.11840758795376301, -0.11645660538248673, 0.08100186465768154, -0.11937886371952064, -0.16687955923969605, 0.05046377399682575, 0.4412789461760598, -0.2900749093687028, -0.32725346364738966, 0.0843818607324634, -0.2592580243554747, -0.21037629014438766, 0.15832165323342837, -0.09836841041492689, 0.003990734634923743, 0.05786030640069975, 0.06680288923587817, -0.024890094345803568, -0.24261236946589262, 0.3520612511003089, 0.037182920838254474, 0.26224475091429217, 0.03455719688884958, 0.13211155761434826, -0.04033654298588723, -0.005595651616950235, 0.0423373494988787, -0.061667918121044156, 0.1069192389636419, 0.28343857250951543, 0.18808433312705222, 0.2935263499438553, -0.4083907784012977, -0.2408821936919839, 0.13708159940953027, 0.1040475086833059, 0.0936724474970084, -0.040297995644644556, -0.25111837623763583, 0.09313909499487745, -0.12815672669749328, -0.08705559906599943, -0.1049685751612181, 0.022558392946396447, -0.021519419885642023, -0.2809553024398085, 0.008729964547684628, 0.08537891181185842, 0.007878201773869777, -0.05343091735911896, -0.08216269372008786, -0.0001076013435369837, 0.19224808089613557, 0.08218808047484584, 0.049371385721010186, 0.174163218202839, -0.158235557845091, -0.12404119049290942, 0.37398200549051436, -0.043526948796317515, -0.21707484862226212, 0.22489087477683306, -0.14134820059156547, -0.15909036828071146, 0.07700767161319043, 0.16020723694968902, 0.058333938786603826, -0.16884706480830106, 0.03606064142108599, -0.06874759291148114, 0.20625042062863416, 0.03618664323480543, 0.06401611465826898, 0.17767800219234325, 0.14150344486164299, 0.04292015945343691, 0.11378895543748513, -0.05635819449369178, -0.06381878387294486, -0.2693727143153459, -0.12880254089051557, -0.14992322107012981, 0.02354438639870527, -0.07912179964922528, -0.1344669924269592, 0.38217262829469884, 0.2065422191218547, 0.2349035160498928, 0.023165451476356003, 0.2703130951445427, 0.09291181835282487, 0.11023516820961174, 0.08411386089181963, 0.24652530184792198, 0.0035078529140237205, 0.04640796523775437, -0.20163130584245403, 0.18070090064656236, -0.04122039718096128] |
1,802.09485 | Thermodynamics and dynamics of two-dimensional systems with dipole-like
repulsive interactions | Thermodynamics and dynamics of a classical two-dimensional system with
dipole-like isotropic repulsive interactions are studied systematically using
extensive molecular dynamics (MD) simulations supplemented by appropriate
theoretical approximations. This interaction potential, which decays as an
inverse cube of the interparticle distance, belongs to the class of very soft
long-ranged interactions. As a result, the investigated system exhibits certain
universal properties that are also shared by other related soft-interacting
particle systems (like, for instance, the one-component plasma and weakly
screened Coulomb systems). These universalities are explored in this article to
construct a simple and reliable description of the system thermodynamics. In
particular, Helmholtz free energies of the fluid and solid phases are derived,
from which the location of the fluid-solid coexistence is determined. The
quasi-crystalline approximation is applied to the description of collective
modes in dipole fluids. Its simplification, previously validated on strongly
coupled plasma fluids, is used to derive explicit analytic dispersion relations
for the longitudinal and transverse wave modes, which compare satisfactory with
those obtained from direct MD simulations in the long-wavelength regime. Sound
velocities of the dipole fluids and solids are derived and analyzed.
| cond-mat.soft cond-mat.other cond-mat.stat-mech physics.chem-ph physics.plasm-ph | thermodynamics and dynamics of a classical twodimensional system with dipolelike isotropic repulsive interactions are studied systematically using extensive molecular dynamics md simulations supplemented by appropriate theoretical approximations this interaction potential which decays as an inverse cube of the interparticle distance belongs to the class of very soft longranged interactions as a result the investigated system exhibits certain universal properties that are also shared by other related softinteracting particle systems like for instance the onecomponent plasma and weakly screened coulomb systems these universalities are explored in this article to construct a simple and reliable description of the system thermodynamics in particular helmholtz free energies of the fluid and solid phases are derived from which the location of the fluidsolid coexistence is determined the quasicrystalline approximation is applied to the description of collective modes in dipole fluids its simplification previously validated on strongly coupled plasma fluids is used to derive explicit analytic dispersion relations for the longitudinal and transverse wave modes which compare satisfactory with those obtained from direct md simulations in the longwavelength regime sound velocities of the dipole fluids and solids are derived and analyzed | [['thermodynamics', 'and', 'dynamics', 'of', 'a', 'classical', 'twodimensional', 'system', 'with', 'dipolelike', 'isotropic', 'repulsive', 'interactions', 'are', 'studied', 'systematically', 'using', 'extensive', 'molecular', 'dynamics', 'md', 'simulations', 'supplemented', 'by', 'appropriate', 'theoretical', 'approximations', 'this', 'interaction', 'potential', 'which', 'decays', 'as', 'an', 'inverse', 'cube', 'of', 'the', 'interparticle', 'distance', 'belongs', 'to', 'the', 'class', 'of', 'very', 'soft', 'longranged', 'interactions', 'as', 'a', 'result', 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1,802.09486 | Uniform exponential-power estimate for the solution to a family of the
Cauchy problems for linear differential equations | We consider a solution to a parametric family of the Cauchy problems for
$m$th-order linear differential equations with constant coefficients.
Parameters of the family are the coefficients of the differential equation and
the initial values of the solution and its derivatives up to the
$(m-1)$th-order (by a solution to a family of problems we mean a function of
the parameters of the given family that maps each tuple of parameters to a
solution to the problem with these parameters). We obtain an exponential-power
estimate for the functions of this parametric family that is uniform (with
respect to parameters) on any bounded set. We also prove that the maximal
element of the set of real parts of monic polynomial roots is a continuous
function (of the coefficients of the polynomial). The continuity of this
element is used for obtaining the estimate mentioned above (since to each tuple
of coefficients of the differential equation there corresponds its
characteristic polynomial with these coefficients, the set of the roots of the
characteristic polynomial and the maximal element of this set are also
functions of the coefficients of the differential equation).
| math.CA math.CV | we consider a solution to a parametric family of the cauchy problems for mthorder linear differential equations with constant coefficients parameters of the family are the coefficients of the differential equation and the initial values of the solution and its derivatives up to the m1thorder by a solution to a family of problems we mean a function of the parameters of the given family that maps each tuple of parameters to a solution to the problem with these parameters we obtain an exponentialpower estimate for the functions of this parametric family that is uniform with respect to parameters on any bounded set we also prove that the maximal element of the set of real parts of monic polynomial roots is a continuous function of the coefficients of the polynomial the continuity of this element is used for obtaining the estimate mentioned above since to each tuple of coefficients of the differential equation there corresponds its characteristic polynomial with these coefficients the set of the roots of the characteristic polynomial and the maximal element of this set are also functions of the coefficients of the differential equation | [['we', 'consider', 'a', 'solution', 'to', 'a', 'parametric', 'family', 'of', 'the', 'cauchy', 'problems', 'for', 'mthorder', 'linear', 'differential', 'equations', 'with', 'constant', 'coefficients', 'parameters', 'of', 'the', 'family', 'are', 'the', 'coefficients', 'of', 'the', 'differential', 'equation', 'and', 'the', 'initial', 'values', 'of', 'the', 'solution', 'and', 'its', 'derivatives', 'up', 'to', 'the', 'm1thorder', 'by', 'a', 'solution', 'to', 'a', 'family', 'of', 'problems', 'we', 'mean', 'a', 'function', 'of', 'the', 'parameters', 'of', 'the', 'given', 'family', 'that', 'maps', 'each', 'tuple', 'of', 'parameters', 'to', 'a', 'solution', 'to', 'the', 'problem', 'with', 'these', 'parameters', 'we', 'obtain', 'an', 'exponentialpower', 'estimate', 'for', 'the', 'functions', 'of', 'this', 'parametric', 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0.09450363705085742, 0.12953207721151852] |
1,802.09487 | Can the Stochastic Wave Equation with Strong Drift Hit Zero? | We study the stochastic wave equation with multiplicative noise and singular
drift: \[ \partial_tu(t,x)=\Delta u(t,x)+u^{-\alpha}(t,x)+g(u(t,x))\dot{W}(t,x)
\] where $x$ lies in the circle $\mathbf{R}/J\mathbf{Z}$ and $u(0,x)>0$. We
show that
(i) If $0<\alpha<1$ then with positive probability, $u(t,x)=0$ for some
$(t,x)$.
(ii) If $\alpha>3$ then with probability one, $u(t,x)\ne0$ for all $(t,x)$.
| math.PR | we study the stochastic wave equation with multiplicative noise and singular drift partial_tutxdelta utxualphatxgutxdotwtx where x lies in the circle mathbfrjmathbfz and u0x0 we show that i if 0alpha1 then with positive probability utx0 for some tx ii if alpha3 then with probability one utxne0 for all tx | [['we', 'study', 'the', 'stochastic', 'wave', 'equation', 'with', 'multiplicative', 'noise', 'and', 'singular', 'drift', 'partial_tutxdelta', 'utxualphatxgutxdotwtx', 'where', 'x', 'lies', 'in', 'the', 'circle', 'mathbfrjmathbfz', 'and', 'u0x0', 'we', 'show', 'that', 'i', 'if', '0alpha1', 'then', 'with', 'positive', 'probability', 'utx0', 'for', 'some', 'tx', 'ii', 'if', 'alpha3', 'then', 'with', 'probability', 'one', 'utxne0', 'for', 'all', 'tx']] | [-0.11878868095068769, 0.08952186138644307, 0.01640065797519955, -0.0029024503151462836, -0.05439337870021435, -0.24117642658000643, 0.0455341477539729, 0.3692336557433009, -0.3112414431842891, -0.09542825242335146, 0.11472472835025242, -0.347805228846317, -0.2016344457356767, 0.13380014523863792, -0.05808642934161154, -0.003624469417528334, -0.016886911365542222, 0.1370271898552098, -0.06993489889745516, -0.23230136757377873, 0.40113509468607267, -0.08269410123201934, 0.1250934345721775, 0.017363376809622754, 0.19835917683402923, -0.026851669494962236, 0.018908230037513105, 0.031445214482532305, -0.19307439535706097, -0.022881989854133943, 0.21101376617496664, 0.11152710820632902, 0.2915334091945128, -0.368748385078189, -0.17960740670307793, 0.1875599679637658, 0.10627452334830939, -0.015330902554772118, -0.026584800142286855, -0.26363855637133715, 0.16539136826230044, -0.12401070149446075, -0.13946549452587284, -0.01745481554164805, 0.1196688692593439, 0.1396346768650057, -0.3572333974086426, 0.07488831399347294, 0.09330639679154212, -0.06340758067182667, -0.058559295065193015, -0.16240392231636427, -0.05881418114189397, 0.053775706317868426, 0.056248156184499916, 0.08131523453895087, 0.04036696714518422, -0.09214401463131336, -0.025662834904241292, 0.32035136308034207, -0.11357254973104731, -0.2658915073737841, 0.08223456067075445, -0.298515903911638, -0.16993229202291166, 0.13799789591311393, 0.0962990775958381, 0.07318396657832306, -0.09774274635128677, 0.16629907344626685, -0.011641975618906807, 0.13941871946338902, 0.08651781839911234, 0.013642789743078703, 0.0578733729198575, 0.09308352511884137, 0.1550417902233841, 0.03161372737535699, -0.14907033583784307, -0.06617628692021588, -0.3863768130540848, -0.18184800757179884, -0.13226253316282632, 0.1665008275102247, -0.11766102232650155, -0.12464449372650548, 0.2989864436570894, 0.13185325959189373, 0.21208077946423806, 0.11755906646563248, 0.236876975660297, 0.20024973911825905, -0.12402759297666224, 0.1635863268906674, 0.08294475818679943, 0.09234827350486409, 0.05044956776228818, -0.2014737468509173, 0.002339224839075045, 0.09175982000306249] |
1,802.09488 | Adaptive Geospatial Joins for Modern Hardware | Geospatial joins are a core building block of connected mobility
applications. An especially challenging problem are joins between streaming
points and static polygons. Since points are not known beforehand, they cannot
be indexed. Nevertheless, points need to be mapped to polygons with low
latencies to enable real-time feedback.
We present an adaptive geospatial join that uses true hit filtering to avoid
expensive geometric computations in most cases. Our technique uses a
quadtree-based hierarchical grid to approximate polygons and stores these
approximations in a specialized radix tree. We emphasize on an approximate
version of our algorithm that guarantees a user-defined precision. The exact
version of our algorithm can adapt to the expected point distribution by
refining the index. We optimized our implementation for modern hardware
architectures with wide SIMD vector processing units, including Intel's brand
new Knights Landing. Overall, our approach can perform up to two orders of
magnitude faster than existing techniques.
| cs.DB | geospatial joins are a core building block of connected mobility applications an especially challenging problem are joins between streaming points and static polygons since points are not known beforehand they cannot be indexed nevertheless points need to be mapped to polygons with low latencies to enable realtime feedback we present an adaptive geospatial join that uses true hit filtering to avoid expensive geometric computations in most cases our technique uses a quadtreebased hierarchical grid to approximate polygons and stores these approximations in a specialized radix tree we emphasize on an approximate version of our algorithm that guarantees a userdefined precision the exact version of our algorithm can adapt to the expected point distribution by refining the index we optimized our implementation for modern hardware architectures with wide simd vector processing units including intels brand new knights landing overall our approach can perform up to two orders of magnitude faster than existing techniques | [['geospatial', 'joins', 'are', 'a', 'core', 'building', 'block', 'of', 'connected', 'mobility', 'applications', 'an', 'especially', 'challenging', 'problem', 'are', 'joins', 'between', 'streaming', 'points', 'and', 'static', 'polygons', 'since', 'points', 'are', 'not', 'known', 'beforehand', 'they', 'can', 'not', 'be', 'indexed', 'nevertheless', 'points', 'need', 'to', 'be', 'mapped', 'to', 'polygons', 'with', 'low', 'latencies', 'to', 'enable', 'realtime', 'feedback', 'we', 'present', 'an', 'adaptive', 'geospatial', 'join', 'that', 'uses', 'true', 'hit', 'filtering', 'to', 'avoid', 'expensive', 'geometric', 'computations', 'in', 'most', 'cases', 'our', 'technique', 'uses', 'a', 'quadtreebased', 'hierarchical', 'grid', 'to', 'approximate', 'polygons', 'and', 'stores', 'these', 'approximations', 'in', 'a', 'specialized', 'radix', 'tree', 'we', 'emphasize', 'on', 'an', 'approximate', 'version', 'of', 'our', 'algorithm', 'that', 'guarantees', 'a', 'userdefined', 'precision', 'the', 'exact', 'version', 'of', 'our', 'algorithm', 'can', 'adapt', 'to', 'the', 'expected', 'point', 'distribution', 'by', 'refining', 'the', 'index', 'we', 'optimized', 'our', 'implementation', 'for', 'modern', 'hardware', 'architectures', 'with', 'wide', 'simd', 'vector', 'processing', 'units', 'including', 'intels', 'brand', 'new', 'knights', 'landing', 'overall', 'our', 'approach', 'can', 'perform', 'up', 'to', 'two', 'orders', 'of', 'magnitude', 'faster', 'than', 'existing', 'techniques']] | [-0.1249903169779205, 0.02723203983575666, -0.08416656580428887, 0.061433644943846094, -0.13688572566484494, -0.18043108417431972, 0.0944824767050848, 0.44826154415740777, -0.290265945629615, -0.3462908765987346, 0.1304449914191776, -0.24825415821549923, -0.14247489381523337, 0.23988207986181614, -0.134595858300791, 0.09824514861209441, 0.11387622303721544, 0.009497934282990173, -0.0750610981830457, -0.30942546265846194, 0.22547902632198347, 0.07186714212998356, 0.26160120618480603, -0.0019082293062973278, 0.05938217597366403, 0.012969630638747875, -0.03557741700818664, 0.006620901260045062, -0.06284006924483708, 0.16121411007311268, 0.27805751176109833, 0.1829212656471339, 0.2628148240374254, -0.45132177839313, -0.14546569326959893, 0.11051721778494539, 0.19259434216043078, 0.08984331722604111, -0.03689091179617926, -0.2451597344456547, 0.13885509158870646, -0.16236997758326316, -0.09362376019635121, -0.15270706597948447, -0.034844447840250245, 0.040212880743219534, -0.2883172478330763, -0.028131478822998407, 0.03024063522216717, 0.020425294547366274, 0.009738848900030317, -0.13492713314726165, 0.048929993490578215, 0.14204775830608254, -0.0421233116327896, 0.050005881631238334, 0.1507251098212835, -0.08649948775756026, -0.19155884020361363, 0.39366929897560593, 0.020373035636925795, -0.21952231418062615, 0.19632316421407986, -0.028681000147786875, -0.16907107757977333, 0.12418395430492972, 0.20728090600613014, 0.11826035627592846, -0.12133414452699454, 0.05113008610485275, -0.006156424671644345, 0.19657065503787108, 0.08499811329698116, 0.0006284736170384445, 0.1956014989470867, 0.18438439543579557, 0.12639598166922378, 0.1287719462553995, -0.05387366453406254, -0.12742086497172223, -0.22456450673359396, -0.1282319384328347, -0.17597938941999977, -0.03535210825851352, -0.1538457453530818, -0.2041297751910813, 0.3329723958342679, 0.21181567844867363, 0.1835004750173539, 0.11617515802744922, 0.3561578985842827, 0.05025008707046876, 0.1495147818534047, 0.18661528760812393, 0.11117161388315971, 0.015983160173116056, 0.11699319350851797, -0.13165104650129492, 0.047711988327424286, 0.09882386722203687] |
1,802.09489 | Arithmetic degrees of special cycles and derivatives of Siegel
Eisenstein series | Let V be a rational quadratic space of signature (m,2). A conjecture of Kudla
relates the arithmetic degrees of top degree special cycles on an integral
model of a Shimura variety associated with SO(V) to the coefficients of the
central derivative of an incoherent Siegel Eisenstein series of genus m+1. We
prove this conjecture for the coefficients of non-singular index T when T is
not positive definite. We also prove it when T is positive definite and the
corresponding special cycle has dimension 0. To obtain these results, we
establish new local arithmetic Siegel-Weil formulas at the archimedean and
non-archimedian places.
| math.NT math.AG | let v be a rational quadratic space of signature m2 a conjecture of kudla relates the arithmetic degrees of top degree special cycles on an integral model of a shimura variety associated with sov to the coefficients of the central derivative of an incoherent siegel eisenstein series of genus m1 we prove this conjecture for the coefficients of nonsingular index t when t is not positive definite we also prove it when t is positive definite and the corresponding special cycle has dimension 0 to obtain these results we establish new local arithmetic siegelweil formulas at the archimedean and nonarchimedian places | [['let', 'v', 'be', 'a', 'rational', 'quadratic', 'space', 'of', 'signature', 'm2', 'a', 'conjecture', 'of', 'kudla', 'relates', 'the', 'arithmetic', 'degrees', 'of', 'top', 'degree', 'special', 'cycles', 'on', 'an', 'integral', 'model', 'of', 'a', 'shimura', 'variety', 'associated', 'with', 'sov', 'to', 'the', 'coefficients', 'of', 'the', 'central', 'derivative', 'of', 'an', 'incoherent', 'siegel', 'eisenstein', 'series', 'of', 'genus', 'm1', 'we', 'prove', 'this', 'conjecture', 'for', 'the', 'coefficients', 'of', 'nonsingular', 'index', 't', 'when', 't', 'is', 'not', 'positive', 'definite', 'we', 'also', 'prove', 'it', 'when', 't', 'is', 'positive', 'definite', 'and', 'the', 'corresponding', 'special', 'cycle', 'has', 'dimension', '0', 'to', 'obtain', 'these', 'results', 'we', 'establish', 'new', 'local', 'arithmetic', 'siegelweil', 'formulas', 'at', 'the', 'archimedean', 'and', 'nonarchimedian', 'places']] | [-0.21903035510331392, 0.08429003104084577, -0.11267665245150686, 0.04258373319424947, -0.0934683898242541, -0.16005225090937006, 0.0062962297147305885, 0.2674016792068977, -0.2978118610854196, -0.209602487706902, 0.06695623433051429, -0.24120568014718224, -0.14256515343313908, 0.2242955847961441, -0.1026545134181385, -0.003207720018517558, -0.007920588952221789, 0.1334721634929797, -0.09943163277821081, -0.3549102090142372, 0.33481590681257517, -0.029889632532797236, 0.14885339853215482, 0.07594348616105052, 0.12829328971075835, 0.031877530466691395, -0.0046749849162092735, -0.07650214927253719, -0.15725236077156693, 0.11599224731141683, 0.2969239340486503, 0.04720592288309616, 0.23974215897666937, -0.37325724395969423, -0.1310964548397846, 0.2093290009047135, 0.07236950557752705, -0.002699394369184381, 0.05206893708690595, -0.21062388899966633, 0.11680062752479853, -0.13353574562873716, -0.21460245150408827, -0.10418538402507801, 0.11111470119160886, 0.005285487577332401, -0.31624885942178343, 0.050262203439781994, 0.12276579687685364, 0.17016417127204045, -0.05370407583339527, -0.16622268856217218, -0.046604110103211194, 0.05353711322952744, 0.021608894998622633, 0.0622255384834428, 0.013633752038868347, -0.09250854553036982, -0.10507196332742967, 0.2935897256063279, -0.10007117587685732, -0.1792527445163209, 0.10825570204783933, -0.21225046505690506, -0.17903471893474165, 0.11920617209691747, 0.11987019845833172, 0.17078805238119152, -0.004579286290722263, 0.1967029701814627, -0.1408474241650783, 0.11218551568235133, 0.15660017741714963, -0.04225117459635038, 0.17437414781623842, 0.004022553392529192, 0.09242826737094634, 0.15023123155841328, -0.01956720101372754, -0.027642389759997662, -0.3779441012751938, -0.21777078094385047, -0.15694331725607488, 0.1632334969001004, -0.16610145471076077, -0.1798997097049314, 0.38831764525540247, 0.028744700784324714, 0.18013511305342955, 0.14014366286631563, 0.1768851955559584, 0.1827838603075188, 0.04232627709539109, 0.06453738039783617, 0.10134639123473133, 0.23577608205009215, 0.0021335748070389917, -0.15700214012240124, 0.0014763275659320377, 0.18456118436308927] |
1,802.0949 | Controlling Human Utilization of Failure-Prone Systems via Taxes | We consider a game-theoretic model where individuals compete over a shared
failure-prone system or resource. We investigate the effectiveness of a
taxation mechanism in controlling the utilization of the resource at the Nash
equilibrium when the decision-makers have behavioral risk preferences, captured
by prospect theory. We first observe that heterogeneous prospect-theoretic risk
preferences can lead to counter-intuitive outcomes. In particular, for
resources that exhibit network effects, utilization can increase under taxation
and there may not exist a tax rate that achieves the socially optimal level of
utilization. We identify conditions under which utilization is monotone and
continuous, and then characterize the range of utilizations that can be
achieved by a suitable choice of tax rate. We further show that resource
utilization is higher when players are charged differentiated tax rates
compared to the case when all players are charged an identical tax rate, under
suitable assumptions.
| cs.GT cs.MA cs.SY math.OC q-fin.EC | we consider a gametheoretic model where individuals compete over a shared failureprone system or resource we investigate the effectiveness of a taxation mechanism in controlling the utilization of the resource at the nash equilibrium when the decisionmakers have behavioral risk preferences captured by prospect theory we first observe that heterogeneous prospecttheoretic risk preferences can lead to counterintuitive outcomes in particular for resources that exhibit network effects utilization can increase under taxation and there may not exist a tax rate that achieves the socially optimal level of utilization we identify conditions under which utilization is monotone and continuous and then characterize the range of utilizations that can be achieved by a suitable choice of tax rate we further show that resource utilization is higher when players are charged differentiated tax rates compared to the case when all players are charged an identical tax rate under suitable assumptions | [['we', 'consider', 'a', 'gametheoretic', 'model', 'where', 'individuals', 'compete', 'over', 'a', 'shared', 'failureprone', 'system', 'or', 'resource', 'we', 'investigate', 'the', 'effectiveness', 'of', 'a', 'taxation', 'mechanism', 'in', 'controlling', 'the', 'utilization', 'of', 'the', 'resource', 'at', 'the', 'nash', 'equilibrium', 'when', 'the', 'decisionmakers', 'have', 'behavioral', 'risk', 'preferences', 'captured', 'by', 'prospect', 'theory', 'we', 'first', 'observe', 'that', 'heterogeneous', 'prospecttheoretic', 'risk', 'preferences', 'can', 'lead', 'to', 'counterintuitive', 'outcomes', 'in', 'particular', 'for', 'resources', 'that', 'exhibit', 'network', 'effects', 'utilization', 'can', 'increase', 'under', 'taxation', 'and', 'there', 'may', 'not', 'exist', 'a', 'tax', 'rate', 'that', 'achieves', 'the', 'socially', 'optimal', 'level', 'of', 'utilization', 'we', 'identify', 'conditions', 'under', 'which', 'utilization', 'is', 'monotone', 'and', 'continuous', 'and', 'then', 'characterize', 'the', 'range', 'of', 'utilizations', 'that', 'can', 'be', 'achieved', 'by', 'a', 'suitable', 'choice', 'of', 'tax', 'rate', 'we', 'further', 'show', 'that', 'resource', 'utilization', 'is', 'higher', 'when', 'players', 'are', 'charged', 'differentiated', 'tax', 'rates', 'compared', 'to', 'the', 'case', 'when', 'all', 'players', 'are', 'charged', 'an', 'identical', 'tax', 'rate', 'under', 'suitable', 'assumptions']] | [-0.1351800366722304, 0.108120203052812, -0.05817140529638734, 0.07480217708627983, -0.027107165267305642, -0.210135531094696, 0.14268082943182953, 0.42929364382449925, -0.27267093190859104, -0.25714416704943466, 0.09196224522070381, -0.23957915610537447, -0.13634166732462571, 0.15304338703060458, -0.17584719042582758, -0.013033448869426702, 0.06424735315979041, 0.04936682606148052, 0.04157622064913398, -0.3095148532249933, 0.3260253376327455, 0.07864423748105764, 0.3659557376249597, 0.07027011009872537, 0.06258992378053994, -0.004513883826740343, 0.05490102701146027, 0.05250452235260786, -0.11280217141777092, 0.10328202243605307, 0.3160082813737721, 0.19529391466158216, 0.39105847747675304, -0.43085353479816996, -0.19361469730261135, 0.18320276382668266, 0.0799160694767689, 0.07416879792842243, -0.028694702968290398, -0.23551461731308493, 0.0936714796108547, -0.24180469154540835, -0.0807511717530674, -0.12130030690339105, -0.032796231589826016, 0.0453302563649827, -0.3555661486301186, 0.054171798371806225, -0.004846575066190341, 0.0321887026316133, -0.10486152010231183, -0.08913070758210559, -0.06047253485062513, 0.16354460172848936, 0.08538100546093433, -0.07283183462046697, 0.1925970144184499, -0.1672689869767055, -0.17589768201819267, 0.38290896284040704, -0.05419135711091603, -0.20227662317519043, 0.18053970708479655, -0.09836327001564847, -0.10835990866581942, 0.10979277377241645, 0.20725713212942254, 0.08358674039100779, -0.19118913859118916, 0.01687875652950707, -0.05368044696515426, 0.18378703469603225, 0.09905567159876227, 0.09932516692848554, 0.18110164105571036, 0.1797046612370117, 0.15759166885199474, 0.11890735908106355, 0.009049478322588678, -0.15798089535714224, -0.22222052485971103, -0.14306961062267937, -0.10872558445171934, 0.06578542415769209, -0.09123556416066252, -0.06565805676168408, 0.3344395036777032, 0.15692733902692924, 0.10695507927829849, 0.12290966198699356, 0.24721981453356043, 0.11852231736070123, 0.033356278505304766, 0.11171668584715447, 0.19951580149153697, -0.06724879498561395, 0.07552184915001472, -0.24235823614932275, 0.18637756116784596, -0.0396782128573877] |
1,802.09491 | Separation of variables in Maxwell equations in Plebanski-Demianski
spacetime | A new method for separating variables in Maxwell's equations in four- and
higher-dimensional Kerr-(A)dS spacetimes proposed recently by Lunin is
generalized to any off-shell metric that admits a principal Killing-Yano
tensor. The key observation is that Lunin's ansatz for the vector potential can
be formulated in a covariant form - in terms of the principal tensor. In
particular, focusing on the four-dimensional case we demonstrate separability
of Maxwell's equations in the Kerr-NUT-(A)dS and the Plebanski-Demianski family
of spacetimes. The new method of separation of variables is quite different
from the standard approach based on the Newman-Penrose formalism.
| hep-th gr-qc | a new method for separating variables in maxwells equations in four and higherdimensional kerrads spacetimes proposed recently by lunin is generalized to any offshell metric that admits a principal killingyano tensor the key observation is that lunins ansatz for the vector potential can be formulated in a covariant form in terms of the principal tensor in particular focusing on the fourdimensional case we demonstrate separability of maxwells equations in the kerrnutads and the plebanskidemianski family of spacetimes the new method of separation of variables is quite different from the standard approach based on the newmanpenrose formalism | [['a', 'new', 'method', 'for', 'separating', 'variables', 'in', 'maxwells', 'equations', 'in', 'four', 'and', 'higherdimensional', 'kerrads', 'spacetimes', 'proposed', 'recently', 'by', 'lunin', 'is', 'generalized', 'to', 'any', 'offshell', 'metric', 'that', 'admits', 'a', 'principal', 'killingyano', 'tensor', 'the', 'key', 'observation', 'is', 'that', 'lunins', 'ansatz', 'for', 'the', 'vector', 'potential', 'can', 'be', 'formulated', 'in', 'a', 'covariant', 'form', 'in', 'terms', 'of', 'the', 'principal', 'tensor', 'in', 'particular', 'focusing', 'on', 'the', 'fourdimensional', 'case', 'we', 'demonstrate', 'separability', 'of', 'maxwells', 'equations', 'in', 'the', 'kerrnutads', 'and', 'the', 'plebanskidemianski', 'family', 'of', 'spacetimes', 'the', 'new', 'method', 'of', 'separation', 'of', 'variables', 'is', 'quite', 'different', 'from', 'the', 'standard', 'approach', 'based', 'on', 'the', 'newmanpenrose', 'formalism']] | [-0.1543610501740324, 0.07755372758317543, -0.1076214749366045, 0.04122091082145313, -0.12198894972863951, -0.13601190971798802, -0.0790361772732515, 0.2746778625406717, -0.1897563338475792, -0.22370265167402595, 0.06076686037949434, -0.24531443918025808, -0.20822228738351872, 0.18005047430235305, -0.052441561643622424, 0.06050459295511246, 0.010128859751612733, 0.057347792367401874, -0.13785212090925167, -0.22380796679736753, 0.43231002803965424, -0.011377234900321224, 0.3105957355840426, 0.00148754872773823, 0.1808347225287243, 0.024420365990188563, -0.005037069877021407, 0.06655477287345811, -0.06487135303430382, 0.10797421987609644, 0.2253873243143684, 0.16827699099299742, 0.19004494524315785, -0.3883328607403918, -0.2261632359635673, 0.06223708298057318, 0.1348055502693904, 0.15364549235857436, -0.007693747423687263, -0.32115981780531766, 0.06707909362096535, -0.15971501416673786, -0.15186263227247093, -0.14403178136991826, 0.013660138296453576, -0.05961899031933985, -0.24664187248011954, 0.1065473661022751, 0.07935865537116402, -0.02984210510591143, -0.1468114527824678, -0.11225616147153472, -0.018903875527413266, 0.017395029594435504, 0.09073441432249782, 0.012421328682256372, 0.047195899257387375, -0.09545142595705233, -0.1453876036268316, 0.3740494217153786, -0.08936486689275817, -0.33986662989972455, 0.09819439513559797, -0.12003289740532637, -0.16432436015947086, 0.06372377081333022, 0.17737844458928234, 0.23415893052557582, -0.2062186022926318, 0.17574690563579728, -0.0674789911724235, 0.08548542388077629, 0.10814949676002326, 0.0044334487695443, 0.1881314244268364, 0.0862553402953046, 0.02312621093894306, 0.1549316959296304, -0.005512800690178808, -0.12511059654950116, -0.3923806640662645, -0.20880165882197999, -0.17426746404288632, 0.08644457634930548, -0.18161215681895174, -0.1716154430061579, 0.4003256269166932, 0.11829552544084819, 0.10577143530827016, 0.02590345458960847, 0.2487059020682385, 0.10913770381165178, 0.06921198726876786, 0.08051927066408097, 0.2882185153369057, 0.20086355773781084, 0.0863647582830469, -0.19148913852037175, -0.058635164184593844, 0.1701560060542665] |
1,802.09492 | $S$ wave hidden charm - hidden strangeness production in $e^+e^-$
annihilation | It is suggested that the recently observed enhancement of the relative yield
in $e^+e^-$ annihilation of states with hidden charm and hidden strangeness
above 4.43\,GeV is associated with the $S$ wave production of the charmed
strange meson pairs $D_{s0}(2317) \bar D_s^* + {\rm c.c.}$ and $D_{s1}^*(2460)
\bar D_s+ {\rm c.c.}$. This mechanism implies a pattern of breaking of the
Heavy Quark Spin Symmetry (HQSS) that can be tested in the final channels such
as $\eta_c(1S) \phi$, $h_c(1P) \eta $, $h_c(1P) \eta' $ produced in the same
energy range.
| hep-ph | it is suggested that the recently observed enhancement of the relative yield in ee annihilation of states with hidden charm and hidden strangeness above 443gev is associated with the s wave production of the charmed strange meson pairs d_s02317 bar d_s rm cc and d_s12460 bar d_s rm cc this mechanism implies a pattern of breaking of the heavy quark spin symmetry hqss that can be tested in the final channels such as eta_c1s phi h_c1p eta h_c1p eta produced in the same energy range | [['it', 'is', 'suggested', 'that', 'the', 'recently', 'observed', 'enhancement', 'of', 'the', 'relative', 'yield', 'in', 'ee', 'annihilation', 'of', 'states', 'with', 'hidden', 'charm', 'and', 'hidden', 'strangeness', 'above', '443gev', 'is', 'associated', 'with', 'the', 's', 'wave', 'production', 'of', 'the', 'charmed', 'strange', 'meson', 'pairs', 'd_s02317', 'bar', 'd_s', 'rm', 'cc', 'and', 'd_s12460', 'bar', 'd_s', 'rm', 'cc', 'this', 'mechanism', 'implies', 'a', 'pattern', 'of', 'breaking', 'of', 'the', 'heavy', 'quark', 'spin', 'symmetry', 'hqss', 'that', 'can', 'be', 'tested', 'in', 'the', 'final', 'channels', 'such', 'as', 'eta_c1s', 'phi', 'h_c1p', 'eta', 'h_c1p', 'eta', 'produced', 'in', 'the', 'same', 'energy', 'range']] | [-0.1340792017900163, 0.293104436514633, -0.08601983978656963, 0.14245380096032195, 0.005394204430991695, -0.12056338728316837, 0.06471203105701577, 0.27486560169962193, -0.23613701402653187, -0.21089811138032624, -0.0860109720476127, -0.33137160163771895, 0.04154631671761828, 0.06615591398994661, 0.13393105179004902, 0.12294468282544542, 0.05502937720268078, 0.07685252620528142, -0.04632531834899315, -0.16375304383802272, 0.3017086113714391, -0.02332882402281809, 0.2077878287195095, 0.17427470542800924, -0.03419002703213621, -0.01075500214660895, 0.0024589679648800355, -0.12432592016245637, -0.1030564976011062, 0.0379769047257945, 0.20837921408279467, 0.11189736382359461, 0.04011282219462806, -0.28588063390149426, -0.10632873917209162, 0.17804205159301914, 0.20328989628857622, 0.061416171225053925, -0.04226091260179168, -0.36177137181428926, 0.20968651402342534, -0.22973424143024854, -0.1103149720334581, -0.05238256332952352, 0.07218372308471728, -0.06419984379871971, -0.3164040170876043, 0.13380826440905885, -0.02919985088296276, 0.015584615793722193, -0.0034960993632142034, -0.26507945726015825, -0.12331019619679344, -0.022693850781901607, 0.13312088631071328, 0.18024349041904011, 0.19073679634796767, -0.1626090674406095, -0.17760344946180426, 0.3956526722980752, -0.08168633451541177, -0.16849839482234702, 0.145447218862717, -0.16183737759101427, -0.1409421418128269, 0.1595356915717102, 0.20301739068894503, 0.051004272630615605, -0.13488372814442431, 0.11209951518408377, -0.0915019172463785, 0.1803761870306473, 0.11463695488471005, 0.13641813266301706, 0.1793231091308241, 0.18947225239216572, -0.06788441706712114, 0.05085923492636842, -0.09649304727472122, -0.054995951077823214, -0.3785584567743908, -0.15905896300821387, -0.057063442000764464, 0.10217621778827465, -0.025015472018345634, -0.025302405646514325, 0.33661933471670463, -0.030004122144808725, 0.3270823289058171, -0.0666810604549634, 0.23709136818069965, 0.08055846368577997, 0.07571822361344294, 0.11185303750070966, 0.30992414942011237, 0.24546313646160775, 0.13813209559191905, -0.3544468804417799, 0.05236720430132534, -0.010942671159725813] |
1,802.09493 | Dissecting star-formation in the "Atoms-for-Peace" galaxy: Ultra-Violet
Imaging Telescope observations of the post-merger galaxy NGC7252 | The tidal tails of post-merger galaxies exhibit ongoing star formation far
from their disks. The study of such systems can be useful for our understanding
of gas condensation in diverse environments. The ongoing star formation in the
tidal tails of post-merger galaxies can be directly studied from ultraviolet
(UV) imaging observations. The post merger galaxy NGC7252 ("Atoms-for-Peace"
galaxy) is observed with the Astrosat UV imaging telescope (UVIT) in broadband
NUV and FUV filters to isolate the star forming regions in the tidal tails and
study the spatial variation in star formation rates. Based on ultraviolet
imaging observations, we discuss star formation regions of ages $<$ 200 Myrs in
the tidal tails. We measure star formation rates in these regions and in the
main body of the galaxy. The integrated star formation rate of NGC7252 (i.e.,
that in the galaxy and tidal tails combined) without correcting for extinction
is found to be 0.81 $\pm$ 0.01 M$_{\odot}$/yr. We show that the integrated star
formation rate can change by an order of magnitude if the extinction correction
used in star formation rates derived from other proxies are taken into
consideration. The star formation rates in the associated tidal dwarf galaxies
(NGC7252E, SFR=0.02 M$_{\odot}$/yr and NGC7252NW, SFR=0.03 M$_{\odot}$/yr) are
typical of dwarf galaxies in the local Universe. The spatial resolution of the
UV images reveals a gradient in star formation within the tidal dwarf galaxy.
The star formation rates show a dependence on the distance from the centre of
the galaxy. This can be due to the different initial conditions responsible for
the triggering of star formation in the gas reservoir that was expelled during
the recent merger in NGC7252.
| astro-ph.GA | the tidal tails of postmerger galaxies exhibit ongoing star formation far from their disks the study of such systems can be useful for our understanding of gas condensation in diverse environments the ongoing star formation in the tidal tails of postmerger galaxies can be directly studied from ultraviolet uv imaging observations the post merger galaxy ngc7252 atomsforpeace galaxy is observed with the astrosat uv imaging telescope uvit in broadband nuv and fuv filters to isolate the star forming regions in the tidal tails and study the spatial variation in star formation rates based on ultraviolet imaging observations we discuss star formation regions of ages 200 myrs in the tidal tails we measure star formation rates in these regions and in the main body of the galaxy the integrated star formation rate of ngc7252 ie that in the galaxy and tidal tails combined without correcting for extinction is found to be 081 pm 001 m_odotyr we show that the integrated star formation rate can change by an order of magnitude if the extinction correction used in star formation rates derived from other proxies are taken into consideration the star formation rates in the associated tidal dwarf galaxies ngc7252e sfr002 m_odotyr and ngc7252nw sfr003 m_odotyr are typical of dwarf galaxies in the local universe the spatial resolution of the uv images reveals a gradient in star formation within the tidal dwarf galaxy the star formation rates show a dependence on the distance from the centre of the galaxy this can be due to the different initial conditions responsible for the triggering of star formation in the gas reservoir that was expelled during the recent merger in ngc7252 | [['the', 'tidal', 'tails', 'of', 'postmerger', 'galaxies', 'exhibit', 'ongoing', 'star', 'formation', 'far', 'from', 'their', 'disks', 'the', 'study', 'of', 'such', 'systems', 'can', 'be', 'useful', 'for', 'our', 'understanding', 'of', 'gas', 'condensation', 'in', 'diverse', 'environments', 'the', 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1,802.09494 | Two-Dimensional Dirac Fermions in Thin Films of Cd3As2 | Two-dimensional states in confined thin films of the three-dimensional Dirac
semimetal Cd3As2 are probed by transport and capacitance measurements under
applied magnetic and electric fields. The results establish the two-dimensional
Dirac electronic spectrum of these states. We observe signatures of p-type
conduction in the two-dimensional states as the Fermi level is tuned across
their charge neutrality point and the presence of a zero energy Landau level,
all of which indicate topologically non-trivial states. The resistance at the
charge neutrality point is approximately h/e2 and increases rapidly under the
application of a magnetic field. The results open many possibilities for
gate-tunable topological devices and for the exploration of novel physics in
the zero energy Landau level.
| cond-mat.mes-hall cond-mat.mtrl-sci | twodimensional states in confined thin films of the threedimensional dirac semimetal cd3as2 are probed by transport and capacitance measurements under applied magnetic and electric fields the results establish the twodimensional dirac electronic spectrum of these states we observe signatures of ptype conduction in the twodimensional states as the fermi level is tuned across their charge neutrality point and the presence of a zero energy landau level all of which indicate topologically nontrivial states the resistance at the charge neutrality point is approximately he2 and increases rapidly under the application of a magnetic field the results open many possibilities for gatetunable topological devices and for the exploration of novel physics in the zero energy landau level | [['twodimensional', 'states', 'in', 'confined', 'thin', 'films', 'of', 'the', 'threedimensional', 'dirac', 'semimetal', 'cd3as2', 'are', 'probed', 'by', 'transport', 'and', 'capacitance', 'measurements', 'under', 'applied', 'magnetic', 'and', 'electric', 'fields', 'the', 'results', 'establish', 'the', 'twodimensional', 'dirac', 'electronic', 'spectrum', 'of', 'these', 'states', 'we', 'observe', 'signatures', 'of', 'ptype', 'conduction', 'in', 'the', 'twodimensional', 'states', 'as', 'the', 'fermi', 'level', 'is', 'tuned', 'across', 'their', 'charge', 'neutrality', 'point', 'and', 'the', 'presence', 'of', 'a', 'zero', 'energy', 'landau', 'level', 'all', 'of', 'which', 'indicate', 'topologically', 'nontrivial', 'states', 'the', 'resistance', 'at', 'the', 'charge', 'neutrality', 'point', 'is', 'approximately', 'he2', 'and', 'increases', 'rapidly', 'under', 'the', 'application', 'of', 'a', 'magnetic', 'field', 'the', 'results', 'open', 'many', 'possibilities', 'for', 'gatetunable', 'topological', 'devices', 'and', 'for', 'the', 'exploration', 'of', 'novel', 'physics', 'in', 'the', 'zero', 'energy', 'landau', 'level']] | [-0.21280086425021696, 0.24310997549606406, -0.02587942245780774, 0.018509444142894252, 0.03601769638531234, -0.15673550294469232, 0.1318212038786758, 0.3219184741377831, -0.259891034193013, -0.31543677692180094, -0.016872482863254844, -0.31690657461143057, -0.11060943722562945, 0.18847251311147017, 0.04945993440468674, 0.06135077367172293, -0.008309243832026487, -0.03420450170321957, -0.09671255640847527, -0.1779588397268368, 0.32911967746913434, 0.017049370281924697, 0.37018713729213115, 0.13660681744450298, 0.036667707175745266, -0.03135231054468971, 0.1227178687573937, 0.06501458965484863, -0.12468745729432988, 0.01801912605398051, 0.270600051521931, -0.12816108607525087, 0.21482454671160034, -0.4482256747134354, -0.20910701423114084, -0.023562231190178706, 0.08840465888623958, 0.12298404613570513, -0.11936314894777278, -0.3158326940934943, 0.07849503767717143, -0.09525344019512767, -0.17161324742723397, -0.10674972022762118, -0.05438532480873856, -0.03902961426293072, -0.20725712179378403, 0.09740417185037033, 0.029470303613166122, 0.07309925844487937, -0.13011687745950085, -0.135091328078314, -0.12537103244305953, 0.10843330382005029, 0.03906096171830659, 0.009093339052608075, 0.1989969617565689, -0.19488220347101678, -0.1399644221138695, 0.3603421721445478, -0.053247578968496426, -0.1541100427280585, 0.19188636898711, -0.21464471278874123, -0.04954410012856976, 0.16289345090803892, 0.11250051298057255, 0.07673112192879553, -0.10985233603126329, 0.14862742856215766, -0.022235441021621227, 0.08987180085032774, 0.04204505109835578, 0.10430191875151966, 0.32631657229857924, 0.1597079088344522, 0.10660718974161326, 0.11338971300941447, -0.15519740567542611, -0.03203002885793862, -0.26562568470835685, -0.22233803250381481, -0.2183343027283073, 0.11050992161845384, -0.012909522603402602, -0.21901963384336104, 0.4944691213738659, 0.14042833297634902, 0.17047432842057036, -0.0786035751855588, 0.23048968448749055, 0.1603163648214515, 0.05299713770130082, 0.08163332967897473, 0.23781340265970516, 0.15823927620709266, 0.12958136982216156, -0.268093999515733, -0.017688762888555292, -0.015948735752507395] |
1,802.09495 | The Diversity of Atomic Hydrogen in Slow Rotator Early-type Galaxies | We present interferometric observations of HI in nine slow rotator early-type
galaxies of the Atlas3D sample. With these data, we now have sensitive HI
searches in 34 of the 36 slow rotators. The aggregate detection rate is 32\%
$\pm$ 8\%, consistent with previous work; however, we find two detections with
extremely high HI masses, whose gas kinematics are substantially different from
what was previously known about HI in slow rotators. These two cases (NGC 1222
and NGC 4191) broaden the known diversity of HI properties in slow rotators.
NGC 1222 is a merger remnant with prolate-like rotation and, if it is indeed
prolate in shape, an equatorial gas disc; NGC 4191 has two counterrotating
stellar discs and an unusually large HI disc. We comment on the implications of
this disc for the formation of $2\sigma$ galaxies. In general, the HI detection
rate, the incidence of relaxed HI discs, and the HI/stellar mass ratios of slow
rotators are indistinguishable from those of fast rotators. These broad
similarities suggest that the HI we are detecting now is unrelated to the
galaxies' formation processes and was often acquired after their stars were
mostly in place. We also discuss the HI nondetections; some of these galaxies
that are undetected in HI or CO are detected in other tracers (e.g. FIR fine
structure lines and dust). The question of whether there is cold gas in massive
galaxies' scoured nuclear cores still needs work. Finally, we discuss an
unusual isolated HI cloud with a surprisingly faint (undetected) optical
counterpart.
| astro-ph.GA | we present interferometric observations of hi in nine slow rotator earlytype galaxies of the atlas3d sample with these data we now have sensitive hi searches in 34 of the 36 slow rotators the aggregate detection rate is 32 pm 8 consistent with previous work however we find two detections with extremely high hi masses whose gas kinematics are substantially different from what was previously known about hi in slow rotators these two cases ngc 1222 and ngc 4191 broaden the known diversity of hi properties in slow rotators ngc 1222 is a merger remnant with prolatelike rotation and if it is indeed prolate in shape an equatorial gas disc ngc 4191 has two counterrotating stellar discs and an unusually large hi disc we comment on the implications of this disc for the formation of 2sigma galaxies in general the hi detection rate the incidence of relaxed hi discs and the histellar mass ratios of slow rotators are indistinguishable from those of fast rotators these broad similarities suggest that the hi we are detecting now is unrelated to the galaxies formation processes and was often acquired after their stars were mostly in place we also discuss the hi nondetections some of these galaxies that are undetected in hi or co are detected in other tracers eg fir fine structure lines and dust the question of whether there is cold gas in massive galaxies scoured nuclear cores still needs work finally we discuss an unusual isolated hi cloud with a surprisingly faint undetected optical counterpart | [['we', 'present', 'interferometric', 'observations', 'of', 'hi', 'in', 'nine', 'slow', 'rotator', 'earlytype', 'galaxies', 'of', 'the', 'atlas3d', 'sample', 'with', 'these', 'data', 'we', 'now', 'have', 'sensitive', 'hi', 'searches', 'in', '34', 'of', 'the', '36', 'slow', 'rotators', 'the', 'aggregate', 'detection', 'rate', 'is', '32', 'pm', '8', 'consistent', 'with', 'previous', 'work', 'however', 'we', 'find', 'two', 'detections', 'with', 'extremely', 'high', 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1,802.09496 | Algebraic cycles on genus two modular fourfolds | We study universal families of stable genus two curves with level structure.
Among other things, it is shown that the (1,1) part is spanned by divisor
classes, and that there are no cycles of type (2,2) in the third cohomology of
the first direct image. Using this, we deduce the Hodge and Tate conjectures
hold for these varieties.
| math.AG math.NT | we study universal families of stable genus two curves with level structure among other things it is shown that the 11 part is spanned by divisor classes and that there are no cycles of type 22 in the third cohomology of the first direct image using this we deduce the hodge and tate conjectures hold for these varieties | [['we', 'study', 'universal', 'families', 'of', 'stable', 'genus', 'two', 'curves', 'with', 'level', 'structure', 'among', 'other', 'things', 'it', 'is', 'shown', 'that', 'the', '11', 'part', 'is', 'spanned', 'by', 'divisor', 'classes', 'and', 'that', 'there', 'are', 'no', 'cycles', 'of', 'type', '22', 'in', 'the', 'third', 'cohomology', 'of', 'the', 'first', 'direct', 'image', 'using', 'this', 'we', 'deduce', 'the', 'hodge', 'and', 'tate', 'conjectures', 'hold', 'for', 'these', 'varieties']] | [-0.20432175197919575, 0.05913533549755812, -0.09995764121413231, 0.08758815369319878, -0.0566051274473811, -0.13748081103930698, -0.001474761147180508, 0.34748150026104574, -0.30271688758813103, -0.26951099574116283, 0.12442853817001692, -0.2356884577632721, -0.1937558656590509, 0.25625740760808874, -0.11866247162608237, -0.036459298441106264, 0.055552314115880894, 0.057559959975809885, -0.05191708920555639, -0.348673574204942, 0.46263986115408096, -0.10206217883588296, 0.21164306942855232, 0.04181500518662405, 0.06084511753428599, -0.03064003010613619, -0.026749775335513825, -0.04129731080270019, -0.12826918603592463, 0.190491112121702, 0.3194192667965424, 0.0834059659672644, 0.16448733436569957, -0.37007665979386917, -0.14001280029207983, 0.21836772346708538, 0.05587084456934024, 0.04617916421908564, -0.01962111307687431, -0.1990358166171816, 0.12450386540450413, -0.136991355536056, -0.18051863802950188, -0.09167459202480727, 0.08489048198379319, 0.031018768401077854, -0.15581219617361686, 0.029712814323861022, 0.0708329365107006, 0.14215129531984186, -0.07336550806488457, -0.1422116398682882, -0.07956639681300469, 0.11415795928894959, 0.04502333035082396, 0.0001646153260512149, 0.03600012371316552, -0.12350603069002129, -0.13049474698973113, 0.34331001823061497, -0.04912568281950622, -0.1356228058033719, 0.1706234548564053, -0.16915064293826962, -0.2227193243753422, 0.1257890419038976, 0.00858738780390985, 0.16596169082512116, -0.02991730602686936, 0.10096049223472525, -0.11703788795797475, 0.12683825138635163, 0.1458452505557316, -0.019895323481940633, 0.16615460378495206, 0.09709745324377356, 0.05068244881414134, 0.10938421391444442, -0.07921206607515442, -0.06990066252584601, -0.3470055549566088, -0.21049837946313724, -0.11770971021454396, 0.0944723682237211, -0.09009536434113498, -0.13251142811726635, 0.4280082616505438, 0.08074602039916248, 0.1835339399825396, 0.1214413252370111, 0.22297637254513544, 0.06075653238703722, 0.09634377829858969, 0.08658987832865839, 0.21651242823532685, 0.19985414487871758, -0.013518790650213587, -0.10455926734119139, -0.011550123631705305, 0.17287584206346293] |
1,802.09497 | Yang-Baxter algebras as convolution algebras: The Grassmannian case | We present a simple but explicit example of a recent development which
connects quantum integrable models with Schubert calculus: there is a purely
geometric construction of solutions to the Yang-Baxter equation and their
associated Yang-Baxter algebras which play a central role in quantum integrable
systems and exactly solvable lattice models in statistical physics. We consider
the degenerate five-vertex limit of the asymmetric six-vertex model and
identify its associated Yang-Baxter algebra as convolution algebra arising from
the equivariant Schubert calculus of Grassmannians. We show how our method can
be used to construct (Schur algebra type) quotients of the current algebra
$\mathfrak{gl}_2[t]$ acting on the tensor product of copies of its evaluation
representation $\mathbb{C}^2[t]$. Finally we connect it with the COHA for the
$A_1$-quiver.
| math-ph hep-th math.MP math.QA math.RT | we present a simple but explicit example of a recent development which connects quantum integrable models with schubert calculus there is a purely geometric construction of solutions to the yangbaxter equation and their associated yangbaxter algebras which play a central role in quantum integrable systems and exactly solvable lattice models in statistical physics we consider the degenerate fivevertex limit of the asymmetric sixvertex model and identify its associated yangbaxter algebra as convolution algebra arising from the equivariant schubert calculus of grassmannians we show how our method can be used to construct schur algebra type quotients of the current algebra mathfrakgl_2t acting on the tensor product of copies of its evaluation representation mathbbc2t finally we connect it with the coha for the a_1quiver | [['we', 'present', 'a', 'simple', 'but', 'explicit', 'example', 'of', 'a', 'recent', 'development', 'which', 'connects', 'quantum', 'integrable', 'models', 'with', 'schubert', 'calculus', 'there', 'is', 'a', 'purely', 'geometric', 'construction', 'of', 'solutions', 'to', 'the', 'yangbaxter', 'equation', 'and', 'their', 'associated', 'yangbaxter', 'algebras', 'which', 'play', 'a', 'central', 'role', 'in', 'quantum', 'integrable', 'systems', 'and', 'exactly', 'solvable', 'lattice', 'models', 'in', 'statistical', 'physics', 'we', 'consider', 'the', 'degenerate', 'fivevertex', 'limit', 'of', 'the', 'asymmetric', 'sixvertex', 'model', 'and', 'identify', 'its', 'associated', 'yangbaxter', 'algebra', 'as', 'convolution', 'algebra', 'arising', 'from', 'the', 'equivariant', 'schubert', 'calculus', 'of', 'grassmannians', 'we', 'show', 'how', 'our', 'method', 'can', 'be', 'used', 'to', 'construct', 'schur', 'algebra', 'type', 'quotients', 'of', 'the', 'current', 'algebra', 'mathfrakgl_2t', 'acting', 'on', 'the', 'tensor', 'product', 'of', 'copies', 'of', 'its', 'evaluation', 'representation', 'mathbbc2t', 'finally', 'we', 'connect', 'it', 'with', 'the', 'coha', 'for', 'the', 'a_1quiver']] | [-0.11286865078311946, 0.031241762459653766, -0.08174716653458837, 0.06263930074764933, -0.13353227003000112, -0.18240183035396978, -0.04281968227978952, 0.32309578404519235, -0.3756260382512412, -0.19396448813617512, 0.15018761370178438, -0.22822551299747423, -0.21276810290213644, 0.18319337448582618, -0.10313425843697824, -0.0031251525750947222, 0.0878949077533824, 0.08793629926605885, -0.13079288582309706, -0.20575906382164402, 0.383616738389207, -0.019582072683774373, 0.2356474547130408, 0.0010710574888052936, 0.14373268111522833, -0.010076072380071929, -0.020392708417748203, -0.04521327904042076, -0.16183832507314427, 0.16272368854373506, 0.29004187476039844, 0.06714257350222778, 0.1611969586476579, -0.4235008092706694, -0.12043763349442195, 0.16839593769434621, 0.16644310037910687, 0.09371131033433147, -0.027234892205319546, -0.27473975895677044, -0.011944051806525397, -0.254358809863945, -0.1749854340460621, -0.09074249833493549, 0.02884387117693154, -0.005738052735183419, -0.21603940231647312, 0.05341299572380401, 0.09955033045575148, 0.07007779763138265, -0.08532787158600047, -0.11964169951320133, -0.048384539209728857, 0.09107031034180472, -0.07508308126614625, 0.012107706894831998, 0.11531471831238821, -0.12666279126443908, -0.21019637223113985, 0.3651846933702962, -0.0019740473206092393, -0.2703923736268482, 0.14144637255671144, -0.1221270984148278, -0.2026155147967594, 0.04822025471171286, 0.09297419471290558, 0.08488490366760422, -0.050839932009327314, 0.19582333769346, -0.1059603392216964, 0.03673777146609265, 0.051901072482852376, 0.014451384364369036, 0.20055538632695666, 0.11466877636335351, -0.009944942341569592, 0.1714585069870232, 0.05130812701350469, -0.17854280633648403, -0.3670881546157248, -0.16963266403861382, -0.10095327853092126, 0.16072059867286295, -0.10107267172892183, -0.22788263055957667, 0.4183030568000649, 0.15833333049345166, 0.14468342925963862, 0.08012457530233352, 0.18464653408291803, 0.15301906348386107, 0.10742044915100794, 0.02296008154292035, 0.1344567101151377, 0.26539543109061586, 0.04231804855433958, -0.20025542277662756, -0.043856974977788614, 0.2203778961845556] |
1,802.09498 | Explanation of IceCube spectrum with $\nu\rightarrow 3 \nu$ neutrino
splitting in a $\nu$2HDM model | A single power law flux spectrum of high energy neutrinos does not adequately
explain the entire 60 TeV to 10 PeV event spectrum observed at IceCube,
specially the excess of PeV events and the lack of Glashow resonance events
expected at 6.3 PeV cannot be simultaneously explained by a single power law
source neutrino flux. Here we consider a model of neutrino splitting
$\nu\rightarrow 3 \nu$ over cosmological distances. Starting from a single
power-law spectrum expected from the astrophysical sources, we show that by
adjusting the decay length and spectral index one can give a better fit to the
observed IceCube events over the entire 1 TeV -6 PeV, compared to that from a
single power spectrum. For $\nu\rightarrow 3\nu$ neutrino splitting, the flavor
ratios of the daughter neutrinos are different from the standard oscillation or
invisible decay cases and can be used as a test of this scenario. We propose a
$\nu$2HDM where a light Higgs ($\sim 0.1$~eV) mediates neutrino splitting via a
one-loop box diagram. The split in the masses of the scalars in the doublet
gives a large contribution to the oblique T parameter which is severely
constrained. This constraint from the S,T,U oblique parameters can be evaded by
the introduction of an extra vector lepton doublet and with mass $\sim 200$
GeV.
| hep-ph | a single power law flux spectrum of high energy neutrinos does not adequately explain the entire 60 tev to 10 pev event spectrum observed at icecube specially the excess of pev events and the lack of glashow resonance events expected at 63 pev cannot be simultaneously explained by a single power law source neutrino flux here we consider a model of neutrino splitting nurightarrow 3 nu over cosmological distances starting from a single powerlaw spectrum expected from the astrophysical sources we show that by adjusting the decay length and spectral index one can give a better fit to the observed icecube events over the entire 1 tev 6 pev compared to that from a single power spectrum for nurightarrow 3nu neutrino splitting the flavor ratios of the daughter neutrinos are different from the standard oscillation or invisible decay cases and can be used as a test of this scenario we propose a nu2hdm where a light higgs sim 01ev mediates neutrino splitting via a oneloop box diagram the split in the masses of the scalars in the doublet gives a large contribution to the oblique t parameter which is severely constrained this constraint from the stu oblique parameters can be evaded by the introduction of an extra vector lepton doublet and with mass sim 200 gev | [['a', 'single', 'power', 'law', 'flux', 'spectrum', 'of', 'high', 'energy', 'neutrinos', 'does', 'not', 'adequately', 'explain', 'the', 'entire', '60', 'tev', 'to', '10', 'pev', 'event', 'spectrum', 'observed', 'at', 'icecube', 'specially', 'the', 'excess', 'of', 'pev', 'events', 'and', 'the', 'lack', 'of', 'glashow', 'resonance', 'events', 'expected', 'at', '63', 'pev', 'can', 'not', 'be', 'simultaneously', 'explained', 'by', 'a', 'single', 'power', 'law', 'source', 'neutrino', 'flux', 'here', 'we', 'consider', 'a', 'model', 'of', 'neutrino', 'splitting', 'nurightarrow', '3', 'nu', 'over', 'cosmological', 'distances', 'starting', 'from', 'a', 'single', 'powerlaw', 'spectrum', 'expected', 'from', 'the', 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1,802.09499 | Towards the Raychaudhuri Equation Beyond General Relativity | In General Relativity, gravity is universally attractive, a feature embodied
by the Raychaudhuri equation which requires that the expansion of a congruence
of geodesics is always non-increasing, as long as matter obeys the strong or
weak energy conditions. This behavior of geodesics is an important ingredient
in general proofs of singularity theorems, which show that many spacetimes are
singular in the sense of being geodesically incomplete and suggest that General
Relativity is itself incomplete. It is possible that alternative theories of
gravity, which reduce to General Relativity in some limit, can resolve these
singularities, so it is of interest to consider how the behavior of geodesics
is modified in these frameworks. We compute the leading corrections to the
Raychaudhuri equation for the expansion due to models in string theory,
braneworld gravity, $f(R)$ theories, and Loop Quantum Cosmology, for
cosmological and black hole backgrounds, and show that while in most cases
geodesic convergence is reinforced, in a few cases terms representing repulsion
arise, weakening geodesic convergence and thereby the conclusions of the
singularity theorems.
| gr-qc hep-th | in general relativity gravity is universally attractive a feature embodied by the raychaudhuri equation which requires that the expansion of a congruence of geodesics is always nonincreasing as long as matter obeys the strong or weak energy conditions this behavior of geodesics is an important ingredient in general proofs of singularity theorems which show that many spacetimes are singular in the sense of being geodesically incomplete and suggest that general relativity is itself incomplete it is possible that alternative theories of gravity which reduce to general relativity in some limit can resolve these singularities so it is of interest to consider how the behavior of geodesics is modified in these frameworks we compute the leading corrections to the raychaudhuri equation for the expansion due to models in string theory braneworld gravity fr theories and loop quantum cosmology for cosmological and black hole backgrounds and show that while in most cases geodesic convergence is reinforced in a few cases terms representing repulsion arise weakening geodesic convergence and thereby the conclusions of the singularity theorems | [['in', 'general', 'relativity', 'gravity', 'is', 'universally', 'attractive', 'a', 'feature', 'embodied', 'by', 'the', 'raychaudhuri', 'equation', 'which', 'requires', 'that', 'the', 'expansion', 'of', 'a', 'congruence', 'of', 'geodesics', 'is', 'always', 'nonincreasing', 'as', 'long', 'as', 'matter', 'obeys', 'the', 'strong', 'or', 'weak', 'energy', 'conditions', 'this', 'behavior', 'of', 'geodesics', 'is', 'an', 'important', 'ingredient', 'in', 'general', 'proofs', 'of', 'singularity', 'theorems', 'which', 'show', 'that', 'many', 'spacetimes', 'are', 'singular', 'in', 'the', 'sense', 'of', 'being', 'geodesically', 'incomplete', 'and', 'suggest', 'that', 'general', 'relativity', 'is', 'itself', 'incomplete', 'it', 'is', 'possible', 'that', 'alternative', 'theories', 'of', 'gravity', 'which', 'reduce', 'to', 'general', 'relativity', 'in', 'some', 'limit', 'can', 'resolve', 'these', 'singularities', 'so', 'it', 'is', 'of', 'interest', 'to', 'consider', 'how', 'the', 'behavior', 'of', 'geodesics', 'is', 'modified', 'in', 'these', 'frameworks', 'we', 'compute', 'the', 'leading', 'corrections', 'to', 'the', 'raychaudhuri', 'equation', 'for', 'the', 'expansion', 'due', 'to', 'models', 'in', 'string', 'theory', 'braneworld', 'gravity', 'fr', 'theories', 'and', 'loop', 'quantum', 'cosmology', 'for', 'cosmological', 'and', 'black', 'hole', 'backgrounds', 'and', 'show', 'that', 'while', 'in', 'most', 'cases', 'geodesic', 'convergence', 'is', 'reinforced', 'in', 'a', 'few', 'cases', 'terms', 'representing', 'repulsion', 'arise', 'weakening', 'geodesic', 'convergence', 'and', 'thereby', 'the', 'conclusions', 'of', 'the', 'singularity', 'theorems']] | [-0.14727050173493383, 0.09240590528300034, -0.13677376543973827, 0.16404176105252558, -0.10954574627311889, -0.17716185388160666, -0.05747042759388922, 0.2852441025870944, -0.24243436168914262, -0.2327232652349193, 0.08815981242590384, -0.28586337814037555, -0.15063955467005902, 0.1744074907969425, -0.090851696986016, 0.024880482051440788, 0.04955425631992433, 0.05281587394029763, -0.0660007392339586, -0.2527817980537051, 0.3656471291209727, 0.06789658178045076, 0.2322328885629601, 0.07095874955533127, 0.0971739870957718, -0.03694361816644884, 0.01745125982133844, 0.07744612358928966, -0.14154081410198302, 0.07390371080679076, 0.2650750453264974, 0.12770895588324765, 0.24302154163576964, -0.4197189288127715, -0.2623106870595689, 0.0872280936515917, 0.16010800820931448, 0.151100777743002, -0.030126268888629886, -0.2548671464107371, 0.07434966656038904, -0.14331907299858643, -0.18608134186616695, -0.08836857399989372, 0.04923138277594409, -0.03109418184898869, -0.20588355066222436, 0.11423373427120914, 0.12701042720003625, -0.036870151408275084, -0.042783814934593746, -0.02124771857539978, 0.019795222347871417, 0.059304798136309136, 0.16818800043904175, 0.03469127332630185, 0.0997527751646333, -0.1470945322966187, -0.0957240981777936, 0.4398990197314456, -0.06162890020456445, -0.2344457173849203, 0.15126611276077526, -0.16627281833698468, -0.15164203374011367, 0.07963465954677734, 0.09067177287480563, 0.16463546967907738, -0.14962059050001678, 0.18787192161204402, 0.01530775552039503, 0.08407154151526511, 0.13422939548742652, 0.05054264112323189, 0.2681145268045581, 0.07139800867937893, 0.06507997623761858, 0.09746894234726798, 0.01299653778315624, -0.1440243671521695, -0.3930264183917659, -0.16882129625088907, -0.12614429026648316, 0.09966900837580765, -0.16925245263629574, -0.22653376355476548, 0.3032868620912636, 0.13302723258179264, 0.11897135484759087, 0.06584643338325116, 0.23642270830513726, 0.09398606045553838, 0.036994155692851784, 0.07683096351532664, 0.3020510728387875, 0.1525455763943041, 0.07069938395689161, -0.1898555050394094, 0.014406663957832522, 0.11760592958593817] |
1,802.095 | Radial Restricted Solid-on-Solid and Etching Interface Growth Models | In this work, an approach to generate radial interfaces is presented. A
radial network recursively obtained is used to implement discrete model rules
designed originally for the investigation in flat substrates. In order to test
the proposed scheme, we have used the restricted solid-on-solid and etching
models. The results indicate the KPZ conjecture is fully verified. Besides, a
very good agreement between the interface radius fluctuation distribution and
the GUE one was observed. The evolution of the radius agrees very well with the
generalized conjecture, and the two-point correlation function exhibits a very
good agreement with the covariance of Airy$_2$ process. So, this approach can
be used to investigate radial interfaces evolution for others universality
classes.
| cond-mat.stat-mech | in this work an approach to generate radial interfaces is presented a radial network recursively obtained is used to implement discrete model rules designed originally for the investigation in flat substrates in order to test the proposed scheme we have used the restricted solidonsolid and etching models the results indicate the kpz conjecture is fully verified besides a very good agreement between the interface radius fluctuation distribution and the gue one was observed the evolution of the radius agrees very well with the generalized conjecture and the twopoint correlation function exhibits a very good agreement with the covariance of airy_2 process so this approach can be used to investigate radial interfaces evolution for others universality classes | [['in', 'this', 'work', 'an', 'approach', 'to', 'generate', 'radial', 'interfaces', 'is', 'presented', 'a', 'radial', 'network', 'recursively', 'obtained', 'is', 'used', 'to', 'implement', 'discrete', 'model', 'rules', 'designed', 'originally', 'for', 'the', 'investigation', 'in', 'flat', 'substrates', 'in', 'order', 'to', 'test', 'the', 'proposed', 'scheme', 'we', 'have', 'used', 'the', 'restricted', 'solidonsolid', 'and', 'etching', 'models', 'the', 'results', 'indicate', 'the', 'kpz', 'conjecture', 'is', 'fully', 'verified', 'besides', 'a', 'very', 'good', 'agreement', 'between', 'the', 'interface', 'radius', 'fluctuation', 'distribution', 'and', 'the', 'gue', 'one', 'was', 'observed', 'the', 'evolution', 'of', 'the', 'radius', 'agrees', 'very', 'well', 'with', 'the', 'generalized', 'conjecture', 'and', 'the', 'twopoint', 'correlation', 'function', 'exhibits', 'a', 'very', 'good', 'agreement', 'with', 'the', 'covariance', 'of', 'airy_2', 'process', 'so', 'this', 'approach', 'can', 'be', 'used', 'to', 'investigate', 'radial', 'interfaces', 'evolution', 'for', 'others', 'universality', 'classes']] | [-0.06705492516730688, 0.046579691209225185, -0.14636381685930497, 0.10933023373200772, -0.04030874832372727, -0.1704291674220164, -0.011888008793526939, 0.4099918625092712, -0.21868799363086322, -0.29522253828552747, 0.04722944699761715, -0.22774761000343052, -0.136139913381816, 0.1908426664765635, -0.017999881758065574, 0.129418657530613, 0.05312356939298454, -0.044734919652471256, -0.06646611936920291, -0.23387114455168745, 0.27281201754070433, 0.09202483731045003, 0.3417941774723345, 0.050730779871408796, 0.06315369219599484, -0.01590199205735377, -0.029903005475403165, 0.031780691872599756, -0.1604729016303438, 0.09493677692331277, 0.21583519357494063, 0.04336534836730952, 0.21484788006235814, -0.38281661968132286, -0.2103113902869217, 0.065671281551878, 0.13747686775931126, 0.11130916686921284, -0.040951243277833844, -0.2567633494959566, 0.08528214445787258, -0.16015032484549388, -0.19766486831137847, -0.046333933425746085, -0.009335934931155422, 0.00855032922569582, -0.3024368957006212, 0.10000330558978021, 0.04327767496579327, 0.025678808869119604, -0.04529200649643638, -0.09400469269041486, -0.0278702997622594, 0.1431874595702915, 0.029343865788491554, 0.051146218625443246, 0.08683440801767825, -0.07394226440700205, -0.09457849879530339, 0.37631133840527736, -0.08175951240540097, -0.20250674121981038, 0.19914094938952798, -0.14680057067468216, -0.1166327494549854, 0.08875533623685097, 0.11872958976390033, 0.11805424317396407, -0.17148901376038275, 0.06787139530432137, -0.05192524709554132, 0.1775680903289146, 0.06839415851924248, -0.053090229711885734, 0.19639971810804505, 0.15522795026030006, 0.008000134071435554, 0.14864747229951497, -0.06516243497026153, -0.10801349951612667, -0.2836212761146177, -0.1373534040316811, -0.22808566864515686, -0.00902211446925227, -0.0823416253668507, -0.16979540479449748, 0.37208435921196537, 0.14620150298137088, 0.21977973559792033, 0.11343306394701358, 0.21481856317981948, 0.13241833051795077, 0.09382503243677061, 0.0757396470771396, 0.23456783670578793, 0.19413761111530314, 0.13588801094587763, -0.20944911581544398, 0.10683452988300345, 0.06530320900969071] |
1,802.09501 | Host Galaxy Effects in the Susy Model for Supernovae Ia | For more than forty years virtually all work on the theory of type Ia
Supernovae (SN Ia) has assumed that these explosions were due to the transfer
of mass to a degenerate star from a partner in a binary system. In these binary
models, when the mass of one partner closely approaches the Chandrasekhar
maximum for a stable degenerate system, fusion can be initiated and the star
explodes. However, there are now a number of indications that fusion could
instead be triggered by a phase transition in a sub-Chandrasekhar white dwarf
star. Although these indications provide no clue as to what specific phase
transition initiates the explosion, it is possible that remarkable and well
established host galaxy effects as considered in the present work could point
to a specific source of the energy deposition. These host galaxy correlations
are, at first glance, surprising since the typical distance scale of white
dwarf stars is the earth radius while the typical distance between stars is at
the light year scale. Performing a least $\chi^2$ fit to the delay time
distribution to fix parameters, we give predictions from the susy phase
transition model for the host galaxy effects. In addition we discuss a susy
insight into the Phillips relation which is basic to the cosmological
importance of the type Ia supernovae.
| astro-ph.HE hep-ph | for more than forty years virtually all work on the theory of type ia supernovae sn ia has assumed that these explosions were due to the transfer of mass to a degenerate star from a partner in a binary system in these binary models when the mass of one partner closely approaches the chandrasekhar maximum for a stable degenerate system fusion can be initiated and the star explodes however there are now a number of indications that fusion could instead be triggered by a phase transition in a subchandrasekhar white dwarf star although these indications provide no clue as to what specific phase transition initiates the explosion it is possible that remarkable and well established host galaxy effects as considered in the present work could point to a specific source of the energy deposition these host galaxy correlations are at first glance surprising since the typical distance scale of white dwarf stars is the earth radius while the typical distance between stars is at the light year scale performing a least chi2 fit to the delay time distribution to fix parameters we give predictions from the susy phase transition model for the host galaxy effects in addition we discuss a susy insight into the phillips relation which is basic to the cosmological importance of the type ia supernovae | [['for', 'more', 'than', 'forty', 'years', 'virtually', 'all', 'work', 'on', 'the', 'theory', 'of', 'type', 'ia', 'supernovae', 'sn', 'ia', 'has', 'assumed', 'that', 'these', 'explosions', 'were', 'due', 'to', 'the', 'transfer', 'of', 'mass', 'to', 'a', 'degenerate', 'star', 'from', 'a', 'partner', 'in', 'a', 'binary', 'system', 'in', 'these', 'binary', 'models', 'when', 'the', 'mass', 'of', 'one', 'partner', 'closely', 'approaches', 'the', 'chandrasekhar', 'maximum', 'for', 'a', 'stable', 'degenerate', 'system', 'fusion', 'can', 'be', 'initiated', 'and', 'the', 'star', 'explodes', 'however', 'there', 'are', 'now', 'a', 'number', 'of', 'indications', 'that', 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1,802.09502 | Retrieval-Augmented Convolutional Neural Networks for Improved
Robustness against Adversarial Examples | We propose a retrieval-augmented convolutional network and propose to train
it with local mixup, a novel variant of the recently proposed mixup algorithm.
The proposed hybrid architecture combining a convolutional network and an
off-the-shelf retrieval engine was designed to mitigate the adverse effect of
off-manifold adversarial examples, while the proposed local mixup addresses
on-manifold ones by explicitly encouraging the classifier to locally behave
linearly on the data manifold. Our evaluation of the proposed approach against
five readily-available adversarial attacks on three datasets--CIFAR-10, SVHN
and ImageNet--demonstrate the improved robustness compared to the vanilla
convolutional network.
| cs.LG | we propose a retrievalaugmented convolutional network and propose to train it with local mixup a novel variant of the recently proposed mixup algorithm the proposed hybrid architecture combining a convolutional network and an offtheshelf retrieval engine was designed to mitigate the adverse effect of offmanifold adversarial examples while the proposed local mixup addresses onmanifold ones by explicitly encouraging the classifier to locally behave linearly on the data manifold our evaluation of the proposed approach against five readilyavailable adversarial attacks on three datasetscifar10 svhn and imagenetdemonstrate the improved robustness compared to the vanilla convolutional network | [['we', 'propose', 'a', 'retrievalaugmented', 'convolutional', 'network', 'and', 'propose', 'to', 'train', 'it', 'with', 'local', 'mixup', 'a', 'novel', 'variant', 'of', 'the', 'recently', 'proposed', 'mixup', 'algorithm', 'the', 'proposed', 'hybrid', 'architecture', 'combining', 'a', 'convolutional', 'network', 'and', 'an', 'offtheshelf', 'retrieval', 'engine', 'was', 'designed', 'to', 'mitigate', 'the', 'adverse', 'effect', 'of', 'offmanifold', 'adversarial', 'examples', 'while', 'the', 'proposed', 'local', 'mixup', 'addresses', 'onmanifold', 'ones', 'by', 'explicitly', 'encouraging', 'the', 'classifier', 'to', 'locally', 'behave', 'linearly', 'on', 'the', 'data', 'manifold', 'our', 'evaluation', 'of', 'the', 'proposed', 'approach', 'against', 'five', 'readilyavailable', 'adversarial', 'attacks', 'on', 'three', 'datasetscifar10', 'svhn', 'and', 'imagenetdemonstrate', 'the', 'improved', 'robustness', 'compared', 'to', 'the', 'vanilla', 'convolutional', 'network']] | [-0.06323099011400093, -0.06283549231642004, -0.04303513117031091, 0.06552803404532218, -0.09668315650196746, -0.22811927031208243, 0.040071342999322544, 0.4481855232009871, -0.25008035343554286, -0.32533374205749066, 0.06950802196127673, -0.27553234758476414, -0.2700338370839341, 0.1712117863526348, -0.16526041247157586, 0.1327041372553342, 0.1064238764759567, 0.0184062325499124, -0.05874945691062344, -0.3429102757169555, 0.33379549355142646, 0.09324348229500982, 0.4199143705682622, -0.0020936160244875482, 0.16926743494631308, -0.06246294823035391, -0.014518406480136845, 0.007220832398808044, -0.005407557160490089, 0.17431057778368186, 0.2322322171815257, 0.1752250700102498, 0.3536389360204339, -0.4270528194804986, -0.2510174696256096, 0.07328978950778643, 0.07545900743409423, 0.11841692422361423, -0.049979385549926925, -0.41772291681004897, 0.1412251042460816, -0.2292917402771612, 0.030836055184611015, -0.170257659515159, -0.09920070129446686, -0.026200362026510347, -0.2843143952286078, -0.0252437520513518, 0.09086470962566738, -0.027449845946911307, -0.037701227849336445, -0.1057434792837335, 0.012649084888916048, 0.09288682280004852, 0.001417316496372223, 0.0734166725900852, 0.13463637716550794, -0.10356096335583263, -0.16926204551903842, 0.27841635855018265, -0.10831945026034696, -0.20836669550691214, 0.16956531328873503, 0.08227250721409089, -0.1292778706178069, 0.08920345955217877, 0.2595525225210521, 0.13770321945970257, -0.1507353965917395, -0.044980104251428406, -0.03655962265200085, 0.15930667099439436, 0.018425635838260252, -0.028966689647899734, 0.09972945354464981, 0.2975290538950099, 0.04580859597060933, 0.21098657564208326, -0.1820258748769346, -0.06666584540572432, -0.1924089997385939, -0.03655984020895428, -0.18743213220602936, -0.04477484855645646, -0.1098545630282994, -0.13412417696866516, 0.45618323749966094, 0.23706493298005726, 0.2088006321185579, 0.15336779335824152, 0.4038952041003439, -0.03449166882136423, 0.14276779299964093, 0.15986078704655585, 0.21311657556022207, 0.019360761843725212, 0.11299255322406275, -0.20855180931588013, 0.09432669843340086, 0.09076788095343444] |
1,802.09503 | Online Coloring of Short Intervals | We study the online graph coloring problem restricted to the intersection
graphs of intervals with lengths in $[1,\sigma]$. For $\sigma=1$ it is the
class of unit interval graphs, and for $\sigma=\infty$ the class of all
interval graphs. Our focus is on intermediary classes.
We present a $(1+\sigma)$-competitive algorithm, which beats the state of the
art for $1 < \sigma < 2$, and proves that the problem we study can be strictly
easier than online coloring of general interval graphs.
On the lower bound side, we prove that no algorithm is better than
$5/3$-competitive for any $\sigma>1$, nor better than $7/4$-competitive for any
$\sigma>2$, and that no algorithm beats the $5/2$ asymptotic competitive ratio
for all, arbitrarily large, values of $\sigma$. That last result shows that the
problem we study can be strictly harder than unit interval coloring. Our main
technical contribution is a recursive composition of strategies, which seems
essential to prove any lower bound higher than $2$.
| math.CO cs.DM cs.DS | we study the online graph coloring problem restricted to the intersection graphs of intervals with lengths in 1sigma for sigma1 it is the class of unit interval graphs and for sigmainfty the class of all interval graphs our focus is on intermediary classes we present a 1sigmacompetitive algorithm which beats the state of the art for 1 sigma 2 and proves that the problem we study can be strictly easier than online coloring of general interval graphs on the lower bound side we prove that no algorithm is better than 53competitive for any sigma1 nor better than 74competitive for any sigma2 and that no algorithm beats the 52 asymptotic competitive ratio for all arbitrarily large values of sigma that last result shows that the problem we study can be strictly harder than unit interval coloring our main technical contribution is a recursive composition of strategies which seems essential to prove any lower bound higher than 2 | [['we', 'study', 'the', 'online', 'graph', 'coloring', 'problem', 'restricted', 'to', 'the', 'intersection', 'graphs', 'of', 'intervals', 'with', 'lengths', 'in', '1sigma', 'for', 'sigma1', 'it', 'is', 'the', 'class', 'of', 'unit', 'interval', 'graphs', 'and', 'for', 'sigmainfty', 'the', 'class', 'of', 'all', 'interval', 'graphs', 'our', 'focus', 'is', 'on', 'intermediary', 'classes', 'we', 'present', 'a', '1sigmacompetitive', 'algorithm', 'which', 'beats', 'the', 'state', 'of', 'the', 'art', 'for', '1', 'sigma', '2', 'and', 'proves', 'that', 'the', 'problem', 'we', 'study', 'can', 'be', 'strictly', 'easier', 'than', 'online', 'coloring', 'of', 'general', 'interval', 'graphs', 'on', 'the', 'lower', 'bound', 'side', 'we', 'prove', 'that', 'no', 'algorithm', 'is', 'better', 'than', '53competitive', 'for', 'any', 'sigma1', 'nor', 'better', 'than', '74competitive', 'for', 'any', 'sigma2', 'and', 'that', 'no', 'algorithm', 'beats', 'the', '52', 'asymptotic', 'competitive', 'ratio', 'for', 'all', 'arbitrarily', 'large', 'values', 'of', 'sigma', 'that', 'last', 'result', 'shows', 'that', 'the', 'problem', 'we', 'study', 'can', 'be', 'strictly', 'harder', 'than', 'unit', 'interval', 'coloring', 'our', 'main', 'technical', 'contribution', 'is', 'a', 'recursive', 'composition', 'of', 'strategies', 'which', 'seems', 'essential', 'to', 'prove', 'any', 'lower', 'bound', 'higher', 'than', '2']] | [-0.1259048123879349, 0.07682408211338851, -0.053721780475575985, 0.12310494050639224, -0.08127825760154747, -0.1622763625011335, 0.06464266395835462, 0.4027034279957316, -0.20540469497734426, -0.3085852412239107, 0.13088432679582826, -0.2798704623664711, -0.122408811989076, 0.22877467146106795, -0.07156276803964359, 0.014577934922581215, 0.10939618880294409, 0.09707391285185331, -0.04026306400933832, -0.27022269419702594, 0.29172296922507823, -0.005611981925694576, 0.20913145351497567, 0.08214219250211041, 0.06362583132132012, 0.010186086904890592, 0.021380794255878605, 0.04201892230757116, -0.15261480017239723, 0.12349111210399617, 0.22886685215034128, 0.13705559165271766, 0.27740052570071483, -0.33690323384503035, -0.17125376260434613, 0.2242048692743422, 0.15182537299404347, 0.08737333827298986, 0.04119473137417991, -0.21113508070755926, 0.17836609833000314, -0.10161255325002023, -0.0638639449166268, -0.0017890221153209413, 0.06780058127261844, -0.033860499415169255, -0.2910356873926384, 0.05181477767616218, 0.14001485295867658, 0.039108605854505415, -0.034066906758870176, -0.20893328243887868, 0.03697242385409529, 0.09888255224240566, -0.011813662063598244, 0.09582926518454223, 0.041714672379658306, -0.09725536355137021, -0.1491736219435005, 0.35847350179516024, -0.05955568545285286, -0.18985543273438035, 0.13099753347703322, -0.16424401608231826, -0.17752934799961795, 0.13588584300885403, 0.13430788173732877, 0.1725411844482414, -0.07368291856331471, 0.07013163227303368, -0.09932058529161356, 0.2210874044598123, 0.08248392661144725, 0.024080136540160193, 0.09138341538883514, 0.1495007172476476, 0.19955652820865558, 0.17208889770029367, -0.0073339484945499625, -0.06731988864896052, -0.28573263019286826, -0.14980215863309485, -0.18257264310137972, 0.03553260788564978, -0.15368482968102293, -0.16214700640952276, 0.38035305214473625, 0.1404396567107148, 0.1666221331836948, 0.19342384763895928, 0.27367737940421294, 0.10950141090799269, 0.03183631242551153, 0.1740927634809434, 0.16387335774701794, 0.07542823958423694, 0.014839643113363802, -0.15179797478653248, 0.11249839587691027, 0.08959078535325733] |
1,802.09504 | Fast and accurate circularization of a Rydberg atom | Preparation of a so-called circular state in a Rydberg atom where the
projection of the electron angular momentum takes its maximum value is
challenging due to the required amount of angular momentum transfer. Currently
available protocols for circular state preparation are either accurate but slow
or fast but error-prone. Here, we show how to use quantum optimal control
theory to derive pulse shapes that realize fast and accurate circularization of
a Rydberg atom. In particular, we present a theoretical proposal for optimized
radio-frequency pulses that achieve high fidelity in the shortest possible
time, given current experimental limitations on peak amplitudes and spectral
bandwidth. We also discuss the fundamental quantum speed limit for
circularization of a Rydberg atom, when lifting these constraints.
| quant-ph | preparation of a socalled circular state in a rydberg atom where the projection of the electron angular momentum takes its maximum value is challenging due to the required amount of angular momentum transfer currently available protocols for circular state preparation are either accurate but slow or fast but errorprone here we show how to use quantum optimal control theory to derive pulse shapes that realize fast and accurate circularization of a rydberg atom in particular we present a theoretical proposal for optimized radiofrequency pulses that achieve high fidelity in the shortest possible time given current experimental limitations on peak amplitudes and spectral bandwidth we also discuss the fundamental quantum speed limit for circularization of a rydberg atom when lifting these constraints | [['preparation', 'of', 'a', 'socalled', 'circular', 'state', 'in', 'a', 'rydberg', 'atom', 'where', 'the', 'projection', 'of', 'the', 'electron', 'angular', 'momentum', 'takes', 'its', 'maximum', 'value', 'is', 'challenging', 'due', 'to', 'the', 'required', 'amount', 'of', 'angular', 'momentum', 'transfer', 'currently', 'available', 'protocols', 'for', 'circular', 'state', 'preparation', 'are', 'either', 'accurate', 'but', 'slow', 'or', 'fast', 'but', 'errorprone', 'here', 'we', 'show', 'how', 'to', 'use', 'quantum', 'optimal', 'control', 'theory', 'to', 'derive', 'pulse', 'shapes', 'that', 'realize', 'fast', 'and', 'accurate', 'circularization', 'of', 'a', 'rydberg', 'atom', 'in', 'particular', 'we', 'present', 'a', 'theoretical', 'proposal', 'for', 'optimized', 'radiofrequency', 'pulses', 'that', 'achieve', 'high', 'fidelity', 'in', 'the', 'shortest', 'possible', 'time', 'given', 'current', 'experimental', 'limitations', 'on', 'peak', 'amplitudes', 'and', 'spectral', 'bandwidth', 'we', 'also', 'discuss', 'the', 'fundamental', 'quantum', 'speed', 'limit', 'for', 'circularization', 'of', 'a', 'rydberg', 'atom', 'when', 'lifting', 'these', 'constraints']] | [-0.13379776396419207, 0.18347381813738356, -0.042120280052142696, 0.054985984106363406, -0.05451320091354822, -0.17881404927138947, 0.10811103111968091, 0.43977903172927946, -0.2498414405748587, -0.29079340390614733, 0.06109735596355451, -0.1956831461245825, -0.03098030829578946, 0.23367843655330583, -0.061447569411555845, 0.12912015951659978, 0.14324612960927496, 0.007073740482576622, -0.08212664910286188, -0.2010635220414905, 0.24260899004303227, 0.09044025728694541, 0.27992015516516283, 0.06736654611756594, 0.13335788567465814, 0.01878668069608571, 0.043646183603804956, -0.061317903361060036, -0.1303793382644509, 0.1274747126466356, 0.2608685411574427, 0.10635960005485445, 0.2424121038634176, -0.4814021867384349, -0.1657890457646009, 0.06453230867762703, 0.157199634268903, 0.2021227621219375, -0.061434308810675256, -0.2310303965167812, -0.0007079230921635451, -0.189564713532844, -0.12430364014734784, -0.129396242967014, 0.08781307124848331, 0.022162170784378595, -0.2726630820115366, 0.07413010771577785, 0.04202178855857635, 0.011687247290406839, -0.03005494706598226, -0.05296328845472375, 0.0325074975017058, 0.06738051029488883, -0.024917728700559617, 0.036692360604628306, 0.16087674558516746, -0.1301435284231874, -0.10420097789365398, 0.3692120939535512, -0.04690562171114932, -0.15064099225531186, 0.16117950756687763, -0.15162152083482872, -0.08948710959112226, 0.12220150485253808, 0.15565688037198067, 0.11741139814026716, -0.08873018276098874, 0.04376103563815324, 0.032008772346475894, 0.21338293159165042, 0.11184991436263869, 0.1341818104967598, 0.21540257848860803, 0.13758684366110188, 0.10579189996442888, 0.1250463614321106, -0.14658144897827494, -0.11510664383613327, -0.25511813531668226, -0.13826085621186085, -0.22980462766660392, 0.07875155710638308, -0.03759591935624846, -0.128629488953243, 0.39118600316530416, 0.1650443784892559, 0.19600320754434206, 0.011573347336158526, 0.3744448049779027, 0.13846781620494097, 0.0016690200110050764, 0.06997019278793788, 0.2738665971396999, 0.1312316407734328, 0.07566712255212517, -0.30719055708359216, 0.036820706605434045, -0.011440060532474813] |
1,802.09505 | Faster Algorithms for some Optimization Problems on Collinear Points | We propose faster algorithms for the following three optimization problems on
$n$ collinear points, i.e., points in dimension one. The first two problems are
known to be NP-hard in higher dimensions.
1- Maximizing total area of disjoint disks: In this problem the goal is to
maximize the total area of nonoverlapping disks centered at the points.
Acharyya, De, and Nandy (2017) presented an $O(n^2)$-time algorithm for this
problem. We present an optimal $\Theta(n)$-time algorithm.
2- Minimizing sum of the radii of client-server coverage: The $n$ points are
partitioned into two sets, namely clients and servers. The goal is to minimize
the sum of the radii of disks centered at servers such that every client is in
some disk, i.e., in the coverage range of some server. Lev-Tov and Peleg (2005)
presented an $O(n^3)$-time algorithm for this problem. We present an
$O(n^2)$-time algorithm, thereby improving the running time by a factor of
$\Theta(n)$.
3- Minimizing total area of point-interval coverage: The $n$ input points
belong to an interval $I$. The goal is to find a set of $n$ disks of minimum
total area, covering $I$, such that every disk contains at least one input
point. We present an algorithm that solves this problem in $O(n^2)$ time.
| cs.CG | we propose faster algorithms for the following three optimization problems on n collinear points ie points in dimension one the first two problems are known to be nphard in higher dimensions 1 maximizing total area of disjoint disks in this problem the goal is to maximize the total area of nonoverlapping disks centered at the points acharyya de and nandy 2017 presented an on2time algorithm for this problem we present an optimal thetantime algorithm 2 minimizing sum of the radii of clientserver coverage the n points are partitioned into two sets namely clients and servers the goal is to minimize the sum of the radii of disks centered at servers such that every client is in some disk ie in the coverage range of some server levtov and peleg 2005 presented an on3time algorithm for this problem we present an on2time algorithm thereby improving the running time by a factor of thetan 3 minimizing total area of pointinterval coverage the n input points belong to an interval i the goal is to find a set of n disks of minimum total area covering i such that every disk contains at least one input point we present an algorithm that solves this problem in on2 time | [['we', 'propose', 'faster', 'algorithms', 'for', 'the', 'following', 'three', 'optimization', 'problems', 'on', 'n', 'collinear', 'points', 'ie', 'points', 'in', 'dimension', 'one', 'the', 'first', 'two', 'problems', 'are', 'known', 'to', 'be', 'nphard', 'in', 'higher', 'dimensions', '1', 'maximizing', 'total', 'area', 'of', 'disjoint', 'disks', 'in', 'this', 'problem', 'the', 'goal', 'is', 'to', 'maximize', 'the', 'total', 'area', 'of', 'nonoverlapping', 'disks', 'centered', 'at', 'the', 'points', 'acharyya', 'de', 'and', 'nandy', '2017', 'presented', 'an', 'on2time', 'algorithm', 'for', 'this', 'problem', 'we', 'present', 'an', 'optimal', 'thetantime', 'algorithm', '2', 'minimizing', 'sum', 'of', 'the', 'radii', 'of', 'clientserver', 'coverage', 'the', 'n', 'points', 'are', 'partitioned', 'into', 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1,802.09506 | Relative volume comparison of Ricci Flow and its applications | In this paper, we derive a relative volume comparison estimate along Ricci
flow and apply it to studying the Gromov-Hausdorff convergence of
K\"ahler-Ricci flow on a minimal manifold. This new estimate generalizes
Perelman's no local collapsing estimate and can be regarded as an analogue of
the Bishop-Gromov volume comparison for Ricci flow.
| math.DG | in this paper we derive a relative volume comparison estimate along ricci flow and apply it to studying the gromovhausdorff convergence of kahlerricci flow on a minimal manifold this new estimate generalizes perelmans no local collapsing estimate and can be regarded as an analogue of the bishopgromov volume comparison for ricci flow | [['in', 'this', 'paper', 'we', 'derive', 'a', 'relative', 'volume', 'comparison', 'estimate', 'along', 'ricci', 'flow', 'and', 'apply', 'it', 'to', 'studying', 'the', 'gromovhausdorff', 'convergence', 'of', 'kahlerricci', 'flow', 'on', 'a', 'minimal', 'manifold', 'this', 'new', 'estimate', 'generalizes', 'perelmans', 'no', 'local', 'collapsing', 'estimate', 'and', 'can', 'be', 'regarded', 'as', 'an', 'analogue', 'of', 'the', 'bishopgromov', 'volume', 'comparison', 'for', 'ricci', 'flow']] | [-0.14646016519803268, 0.002417353261989774, -0.17277742626790243, 0.12036888229284579, -0.08748332102997945, -0.08601343025489208, -0.05224245922559371, 0.29484243066802335, -0.26815157106522325, -0.21137321626660055, 0.18063479330381738, -0.2592107894866226, -0.0734462143501822, 0.19301827872046629, -0.19731966681921712, -0.00769353976759773, 0.0775575797395924, 0.07577283657603683, -0.08750039670737281, -0.1913335648490689, 0.3768447882836111, 0.024215448947730832, 0.2832516056055633, 0.13917393494361582, 0.12099618305308887, -0.05977337923608362, -0.04040781911820746, 0.10192352877213405, -0.2800983292623781, 0.15598800466754115, 0.16907425499700296, 0.06777872258904748, 0.2287527762639981, -0.3581984418745448, -0.2599304821655656, 0.18756516591215935, 0.18477480745731065, 0.0865168031797601, -0.05345803425566723, -0.27322097634896636, 0.11845512186230805, -0.1501012171547, -0.16869037487105323, -0.12648032713108337, -0.051857004121232494, 0.025282106881674666, -0.19541079849631598, 0.10072641151894529, 0.07700422443429908, 0.05500585576877571, -0.08999799768655346, -0.04073015408805357, -0.031699412573988624, 0.1010305498046084, 0.08159205629132114, 0.12987766807110837, 0.146527587588375, -0.04737666180321517, -0.04689768207474397, 0.3429702532191116, -0.2017049151651848, -0.23849720246821213, 0.12441518576815724, -0.04649743615972021, -0.11348742067527312, 0.08074324309396055, 0.24038678113944256, 0.19081029406963632, -0.12116625108487475, 0.035262004631267004, -0.08775209796686585, 0.09422443522355305, 0.13778883320852542, -0.0418300270214856, 0.11875675396563914, 0.17294607440439555, 0.26221135308822763, 0.17161938839574128, -0.03468331004618309, -0.11710710559362689, -0.38885801665198344, -0.3046126227037838, -0.1783663985104515, 0.18457802564192277, -0.19265246451239085, -0.14912397591755366, 0.34328732489106745, 0.05813424750410307, 0.24989509478641245, 0.16490784052831048, 0.2787089442404417, 0.06071297380885181, -0.015427178721158551, 0.1597178153729496, 0.25060452382044435, 0.2655003128143457, 0.12634219122656548, -0.1739426044245752, 0.01030837708654312, 0.2041650862307646] |
1,802.09507 | Conjugacy growth of commutators | For the free group $F_r$ on $r>1$ generators (respectively, the free product
$G_1 * G_2$ of two nontrivial finite groups $G_1$ and $G_2$), we obtain the
asymptotic for the number of conjugacy classes of commutators in $F_r$
(respectively, $G_1 * G_2$) with a given word length in a fixed set of free
generators (respectively, the set of generators given by the nontrivial
elements of $G_1$ and $G_2$). Our result is proven by using the classification
of commutators in free groups and in free products by Wicks, and builds on the
works of Rivin and Sharp, who asymptotically counted the conjugacy classes of
commutator-subgroup elements in $F_r$ with a given word length.
| math.GR math.CO math.DS math.GT math.NT | for the free group f_r on r1 generators respectively the free product g_1 g_2 of two nontrivial finite groups g_1 and g_2 we obtain the asymptotic for the number of conjugacy classes of commutators in f_r respectively g_1 g_2 with a given word length in a fixed set of free generators respectively the set of generators given by the nontrivial elements of g_1 and g_2 our result is proven by using the classification of commutators in free groups and in free products by wicks and builds on the works of rivin and sharp who asymptotically counted the conjugacy classes of commutatorsubgroup elements in f_r with a given word length | [['for', 'the', 'free', 'group', 'f_r', 'on', 'r1', 'generators', 'respectively', 'the', 'free', 'product', 'g_1', 'g_2', 'of', 'two', 'nontrivial', 'finite', 'groups', 'g_1', 'and', 'g_2', 'we', 'obtain', 'the', 'asymptotic', 'for', 'the', 'number', 'of', 'conjugacy', 'classes', 'of', 'commutators', 'in', 'f_r', 'respectively', 'g_1', 'g_2', 'with', 'a', 'given', 'word', 'length', 'in', 'a', 'fixed', 'set', 'of', 'free', 'generators', 'respectively', 'the', 'set', 'of', 'generators', 'given', 'by', 'the', 'nontrivial', 'elements', 'of', 'g_1', 'and', 'g_2', 'our', 'result', 'is', 'proven', 'by', 'using', 'the', 'classification', 'of', 'commutators', 'in', 'free', 'groups', 'and', 'in', 'free', 'products', 'by', 'wicks', 'and', 'builds', 'on', 'the', 'works', 'of', 'rivin', 'and', 'sharp', 'who', 'asymptotically', 'counted', 'the', 'conjugacy', 'classes', 'of', 'commutatorsubgroup', 'elements', 'in', 'f_r', 'with', 'a', 'given', 'word', 'length']] | [-0.19533514677486555, 0.18501675383325805, -0.007439914353502293, 0.038408117857114926, -0.041424668171977694, -0.06318907851474015, 0.024631338978738145, 0.40114323596504553, -0.24631592341595226, -0.27562855858424745, 0.07110453833700847, -0.29937156893450906, -0.029519252323855955, 0.24023735294704912, -0.0738025195206757, -0.0018560218245342926, 0.05888605670123878, 0.18240196409169585, -0.08629063288336275, -0.2560546058747504, 0.3757220972415612, -0.08223850498648567, 0.2375202706273369, -0.0042176688503887914, 0.09375043395751466, 0.047908418479858446, -0.05453998900311827, -0.016695584968180844, -0.19189980283327815, 0.1312199339563786, 0.2490649603337429, 0.056723232834849986, 0.19677828628293895, -0.35288153442174747, -0.09214680916974666, 0.16826254761933038, 0.12909590370987575, -0.03304861829167715, -0.030759807143584585, -0.2630529057717434, 0.145682668166787, -0.20575773030847172, -0.08488726977655595, -0.011715693933958257, 0.07763803539866651, 0.04917899641656765, -0.2662161839716309, 0.039905006229808485, 0.07392057415994781, 0.07910400930025692, 0.006473943673039752, -0.14906555699848537, -0.076527447321159, 0.19310907531460678, 0.06551250008892061, 0.0111643281405257, 0.036821776712140826, -0.10521004612005695, -0.14587436287870836, 0.37687048607040197, -0.045968411740398514, -0.21100493072083704, 0.09374475656551551, -0.18296443987034122, -0.15937656867835256, 0.08246712632373804, 0.07096263059173469, 0.1412640791386366, -0.06777499375554423, 0.18707988642024617, -0.09699909265705005, 0.08992983275783006, 0.1271130309647156, -0.013600803355479406, 0.06807516487444648, 0.0717569632343603, 0.06430304488080933, 0.12986966533827837, 0.09694360097421816, 0.06966298356807481, -0.36698537956302363, -0.12857222306559346, -0.16384005287006773, 0.12426533263728574, -0.173543617305431, -0.1854395215028759, 0.46108201959308376, 0.019156646474988923, 0.14493926004851582, 0.10077744357598324, 0.18128355486853118, 0.06587269229957773, 0.0964301051119239, 0.13548747525567673, 0.07534669060260057, 0.22098524055736898, -0.12801983061729483, -0.18122366341089624, -0.061062758913505134, 0.2283907240446381] |
1,802.09508 | Image Reconstruction Techniques in Neutron and Gamma-Ray Spectroscopy:
Improving Lunar Prospector Data | We present improved resolution maps of the Lunar Prospector Neutron
Spectrometer thermal, epithermal and fast neutron data and Gamma-Ray
Spectrometer Th-line fluxes via global application of pixon image
reconstruction techniques. With the use of mock data sets, we show that the
pixon image reconstruction method compares favorably with other methods that
have been used in planetary neutron and gamma-ray spectroscopy. The improved
thermal neutron maps are able to clearly distinguish variations in composition
across the lunar surface, including within the lunar basins of Hertzsprung and
Schrodinger. The improvement in resolution reveals a correlation between albedo
and thermal neutron flux within the craters. The consequent increase in dynamic
range confirms that Hertzsprung basin contains one of the most anorthositic
parts of the lunar crust, including nearly pure anorthite over a region tens of
km in diameter. At Orientale, the improvement in spatial resolution of the
epithermal neutron data show that there is a mismatch between measures of
regolith maturity that sample the surface and those that probe the
near-subsurface, which suggests a complex layering scenario.
| astro-ph.EP astro-ph.IM | we present improved resolution maps of the lunar prospector neutron spectrometer thermal epithermal and fast neutron data and gammaray spectrometer thline fluxes via global application of pixon image reconstruction techniques with the use of mock data sets we show that the pixon image reconstruction method compares favorably with other methods that have been used in planetary neutron and gammaray spectroscopy the improved thermal neutron maps are able to clearly distinguish variations in composition across the lunar surface including within the lunar basins of hertzsprung and schrodinger the improvement in resolution reveals a correlation between albedo and thermal neutron flux within the craters the consequent increase in dynamic range confirms that hertzsprung basin contains one of the most anorthositic parts of the lunar crust including nearly pure anorthite over a region tens of km in diameter at orientale the improvement in spatial resolution of the epithermal neutron data show that there is a mismatch between measures of regolith maturity that sample the surface and those that probe the nearsubsurface which suggests a complex layering scenario | [['we', 'present', 'improved', 'resolution', 'maps', 'of', 'the', 'lunar', 'prospector', 'neutron', 'spectrometer', 'thermal', 'epithermal', 'and', 'fast', 'neutron', 'data', 'and', 'gammaray', 'spectrometer', 'thline', 'fluxes', 'via', 'global', 'application', 'of', 'pixon', 'image', 'reconstruction', 'techniques', 'with', 'the', 'use', 'of', 'mock', 'data', 'sets', 'we', 'show', 'that', 'the', 'pixon', 'image', 'reconstruction', 'method', 'compares', 'favorably', 'with', 'other', 'methods', 'that', 'have', 'been', 'used', 'in', 'planetary', 'neutron', 'and', 'gammaray', 'spectroscopy', 'the', 'improved', 'thermal', 'neutron', 'maps', 'are', 'able', 'to', 'clearly', 'distinguish', 'variations', 'in', 'composition', 'across', 'the', 'lunar', 'surface', 'including', 'within', 'the', 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1,802.09509 | Estimation of Local Degree Distributions via Local Weighted Averaging
and Monte Carlo Cross-Validation | Owing to their capability of summarising interactions between elements of a
system, networks have become a common type of data in many fields. As networks
can be inhomogeneous, in that different regions of the network may exhibit
different topologies, an important topic concerns their local properties. This
paper focuses on the estimation of the local degree distribution of a vertex in
an inhomogeneous network. The contributions are twofold: we propose an
estimator based on local weighted averaging, and we set up a Monte Carlo
cross-validation procedure to pick the parameters of this estimator. Under a
specific modelling assumption we derive an oracle inequality that shows how the
model parameters affect the precision of the estimator. We illustrate our
method by several numerical experiments, on both real and synthetic data,
showing in particular that the approach considerably improves upon the natural,
empirical estimator.
| stat.ME math.ST stat.AP stat.TH | owing to their capability of summarising interactions between elements of a system networks have become a common type of data in many fields as networks can be inhomogeneous in that different regions of the network may exhibit different topologies an important topic concerns their local properties this paper focuses on the estimation of the local degree distribution of a vertex in an inhomogeneous network the contributions are twofold we propose an estimator based on local weighted averaging and we set up a monte carlo crossvalidation procedure to pick the parameters of this estimator under a specific modelling assumption we derive an oracle inequality that shows how the model parameters affect the precision of the estimator we illustrate our method by several numerical experiments on both real and synthetic data showing in particular that the approach considerably improves upon the natural empirical estimator | [['owing', 'to', 'their', 'capability', 'of', 'summarising', 'interactions', 'between', 'elements', 'of', 'a', 'system', 'networks', 'have', 'become', 'a', 'common', 'type', 'of', 'data', 'in', 'many', 'fields', 'as', 'networks', 'can', 'be', 'inhomogeneous', 'in', 'that', 'different', 'regions', 'of', 'the', 'network', 'may', 'exhibit', 'different', 'topologies', 'an', 'important', 'topic', 'concerns', 'their', 'local', 'properties', 'this', 'paper', 'focuses', 'on', 'the', 'estimation', 'of', 'the', 'local', 'degree', 'distribution', 'of', 'a', 'vertex', 'in', 'an', 'inhomogeneous', 'network', 'the', 'contributions', 'are', 'twofold', 'we', 'propose', 'an', 'estimator', 'based', 'on', 'local', 'weighted', 'averaging', 'and', 'we', 'set', 'up', 'a', 'monte', 'carlo', 'crossvalidation', 'procedure', 'to', 'pick', 'the', 'parameters', 'of', 'this', 'estimator', 'under', 'a', 'specific', 'modelling', 'assumption', 'we', 'derive', 'an', 'oracle', 'inequality', 'that', 'shows', 'how', 'the', 'model', 'parameters', 'affect', 'the', 'precision', 'of', 'the', 'estimator', 'we', 'illustrate', 'our', 'method', 'by', 'several', 'numerical', 'experiments', 'on', 'both', 'real', 'and', 'synthetic', 'data', 'showing', 'in', 'particular', 'that', 'the', 'approach', 'considerably', 'improves', 'upon', 'the', 'natural', 'empirical', 'estimator']] | [-0.0905078445646492, 0.031712256126436994, -0.11481059584840411, 0.06260114203577756, -0.033682489843094646, -0.0982089515063833, 0.05653269462776042, 0.41630414736942506, -0.27683903495813916, -0.3215837958924682, 0.10013189092344067, -0.2627617188689994, -0.19003234110513545, 0.21816913257549767, -0.08059683590832258, 0.04626653738841283, 0.08629779278917211, 0.01976856210721578, -0.07967569098912809, -0.28661302824727664, 0.3440145300242158, 0.07636284799000222, 0.3267820006839826, 0.03399709870335384, 0.09494057107998818, 0.0016274983997942066, -0.04643276159021951, 0.028568518808780526, -0.11719150181352875, 0.1517394055287734, 0.18581590656532157, 0.15648558289862016, 0.318923332098819, -0.41790436735560355, -0.20860265887630972, 0.1322059910449291, 0.13527509235960603, 0.11621130998639888, -0.02717445453409184, -0.27175253889405393, 0.059141490752743164, -0.16229012314958619, -0.10203340128195328, -0.11286713259170016, -0.060113654504009545, 0.0501891814129637, -0.312162376946809, 0.06625483194726821, 0.06697002027764208, 0.0687983429661856, -0.03201547079772072, -0.1251442808859562, 0.010077905237779652, 0.12554281902119097, 0.051887582395632396, -0.017438754032720143, 0.11011461382338279, -0.13195024603571165, -0.12296427186893326, 0.3240674809539612, -0.05503361545417878, -0.21057021673473622, 0.1763185044983402, -0.0858612393232351, -0.15371529918006607, 0.07899893092444088, 0.22173065402295808, 0.1323603911714343, -0.1818149146938723, 0.07160883875888392, -0.061018165837133855, 0.1460381164215505, -0.027852435368375564, 0.021596693909320404, 0.14911857393609596, 0.1941282588080175, 0.08620363392032565, 0.1453510511914124, -0.10617375759650546, -0.0891756348010205, -0.2846759794030706, -0.10968912151497855, -0.20246717734688657, 0.0019723873759265728, -0.16171526867862707, -0.1773546928159473, 0.4201971278591475, 0.22667475867761105, 0.22503931223887058, 0.0504514654872047, 0.2841114007120191, 0.08336818069934887, 0.05067985696377049, 0.05938028559928209, 0.22108262441906845, 0.10922436110026032, 0.05191928738872455, -0.19652434914622088, 0.11081521058271468, 0.027124974602820272] |
1,802.0951 | Bell measurement rules out supraquantum correlations | The so called bipartite non-signaling boxes are systems whose statistics is
constrained solely by the principle of no instantaneous signaling between
distant locations. Such systems can exhibit much stronger correlations than
those admitted by quantum mechanics. Inspired by quantum logic approach of
Tylec and Ku\'{s}, J. Phys. A: Math. Theor. 48 (2015) 505303, we consider
non-signaling boxes with three inputs per party, and extend the set of
measurements with just a single {\it global} measurement - one that mimics
quantum two-party Bell measurement. We then show that this seemingly mild
extension completely rules out supraquantum correlations: the resulting system
admits precisely quantum mechanical correlations of two qubits. We also
consider non-maximally entangled measurements, obtaining interpolation between
quantum and full no-signaling theory. Our study paves a way to a general
programme of amending no-signaling theories with some measurements inherited
from quantum mechanics, leading to various interpolations between non-signaling
boxes and quantum mechanics.
| quant-ph | the so called bipartite nonsignaling boxes are systems whose statistics is constrained solely by the principle of no instantaneous signaling between distant locations such systems can exhibit much stronger correlations than those admitted by quantum mechanics inspired by quantum logic approach of tylec and kus j phys a math theor 48 2015 505303 we consider nonsignaling boxes with three inputs per party and extend the set of measurements with just a single it global measurement one that mimics quantum twoparty bell measurement we then show that this seemingly mild extension completely rules out supraquantum correlations the resulting system admits precisely quantum mechanical correlations of two qubits we also consider nonmaximally entangled measurements obtaining interpolation between quantum and full nosignaling theory our study paves a way to a general programme of amending nosignaling theories with some measurements inherited from quantum mechanics leading to various interpolations between nonsignaling boxes and quantum mechanics | [['the', 'so', 'called', 'bipartite', 'nonsignaling', 'boxes', 'are', 'systems', 'whose', 'statistics', 'is', 'constrained', 'solely', 'by', 'the', 'principle', 'of', 'no', 'instantaneous', 'signaling', 'between', 'distant', 'locations', 'such', 'systems', 'can', 'exhibit', 'much', 'stronger', 'correlations', 'than', 'those', 'admitted', 'by', 'quantum', 'mechanics', 'inspired', 'by', 'quantum', 'logic', 'approach', 'of', 'tylec', 'and', 'kus', 'j', 'phys', 'a', 'math', 'theor', '48', '2015', '505303', 'we', 'consider', 'nonsignaling', 'boxes', 'with', 'three', 'inputs', 'per', 'party', 'and', 'extend', 'the', 'set', 'of', 'measurements', 'with', 'just', 'a', 'single', 'it', 'global', 'measurement', 'one', 'that', 'mimics', 'quantum', 'twoparty', 'bell', 'measurement', 'we', 'then', 'show', 'that', 'this', 'seemingly', 'mild', 'extension', 'completely', 'rules', 'out', 'supraquantum', 'correlations', 'the', 'resulting', 'system', 'admits', 'precisely', 'quantum', 'mechanical', 'correlations', 'of', 'two', 'qubits', 'we', 'also', 'consider', 'nonmaximally', 'entangled', 'measurements', 'obtaining', 'interpolation', 'between', 'quantum', 'and', 'full', 'nosignaling', 'theory', 'our', 'study', 'paves', 'a', 'way', 'to', 'a', 'general', 'programme', 'of', 'amending', 'nosignaling', 'theories', 'with', 'some', 'measurements', 'inherited', 'from', 'quantum', 'mechanics', 'leading', 'to', 'various', 'interpolations', 'between', 'nonsignaling', 'boxes', 'and', 'quantum', 'mechanics']] | [-0.11900971102767398, 0.15807235704080477, -0.0794248899910599, 0.06321227520930807, -0.0283111926243716, -0.2786926920085239, 0.07408186830611699, 0.2893188449088484, -0.22137953864694282, -0.3308232747760878, 0.010017896844294376, -0.311787381614055, -0.1391984105245462, 0.16422246058937162, -0.07806539577211731, 0.10390110115986317, 0.07393010088393616, -0.014108412670965836, -0.09259124254802717, -0.24822332699015434, 0.2875741662369487, 0.019398186726313136, 0.26807783490811427, -0.01448582686213273, 0.10618801802440823, 0.0763373472743567, -0.005212049443601958, 0.059895423185111756, -0.12356180918603157, 0.11340753840458756, 0.23918849281098292, 0.16233042811005804, 0.27011478768749714, -0.43819705646711626, -0.2056360552653771, 0.1488063493177194, 0.03772940974827302, 0.17500647066972796, 0.018790805999447616, -0.3480151399177172, 0.021761576400053485, -0.18152382119080504, -0.06968442864741224, -0.1050357269882256, 0.0153971122879837, -0.04651253482459013, -0.25235327620789205, 0.13943394143240545, 0.09401889654337366, 0.09262729677799586, 0.05222772726965313, -0.02069368914896119, 0.01672116126998869, 0.07258876876408435, -0.1076965402840083, 0.006442303808619948, 0.1336391258416886, -0.08811497477487333, -0.23755871281389626, 0.36955735952014457, 0.044184497028500365, -0.23021985637653317, 0.19992932607655767, -0.15603726162776552, -0.15074233068593754, 0.010606233209900156, 0.08526103504747781, 0.11235217839183295, -0.17883438619744108, 0.05716339681719153, -0.0950409468213046, 0.18915251154779783, 0.08867815940175205, 0.14436505180964485, 0.22260246744278717, 0.034409413537375526, 0.058432946758772676, 0.15766280461920779, -0.0066034264325296405, -0.2138171740178321, -0.34994947734112675, -0.16093369756000922, -0.22301924723905284, 0.13378817941899085, -0.04498620362082383, -0.09082489666478658, 0.32651329318665573, 0.14082764434499187, 0.14367799261880637, 0.07002427465773213, 0.2458369315073297, 0.0831874661326347, 0.05837727583491722, 0.10341541339781739, 0.2731929242501202, 0.16658267561610587, 0.057121272227173114, -0.18006809273533322, 0.03582226117204472, 0.05949164615673441] |
1,802.09511 | Missing Data in Sparse Transition Matrix Estimation for Sub-Gaussian
Vector Autoregressive Processes | High-dimensional time series data exist in numerous areas such as finance,
genomics, healthcare, and neuroscience. An unavoidable aspect of all such
datasets is missing data, and dealing with this issue has been an important
focus in statistics, control, and machine learning. In this work, we consider a
high-dimensional estimation problem where a dynamical system, governed by a
stable vector autoregressive model, is randomly and only partially observed at
each time point. Our task amounts to estimating the transition matrix, which is
assumed to be sparse. In such a scenario, where covariates are highly
interdependent and partially missing, new theoretical challenges arise. While
transition matrix estimation in vector autoregressive models has been studied
previously, the missing data scenario requires separate efforts. Moreover,
while transition matrix estimation can be studied from a high-dimensional
sparse linear regression perspective, the covariates are highly dependent and
existing results on regularized estimation with missing data from
i.i.d.~covariates are not applicable. At the heart of our analysis lies 1) a
novel concentration result when the innovation noise satisfies the convex
concentration property, as well as 2) a new quantity for characterizing the
interactions of the time-varying observation process with the underlying
dynamical system.
| stat.ML cs.LG | highdimensional time series data exist in numerous areas such as finance genomics healthcare and neuroscience an unavoidable aspect of all such datasets is missing data and dealing with this issue has been an important focus in statistics control and machine learning in this work we consider a highdimensional estimation problem where a dynamical system governed by a stable vector autoregressive model is randomly and only partially observed at each time point our task amounts to estimating the transition matrix which is assumed to be sparse in such a scenario where covariates are highly interdependent and partially missing new theoretical challenges arise while transition matrix estimation in vector autoregressive models has been studied previously the missing data scenario requires separate efforts moreover while transition matrix estimation can be studied from a highdimensional sparse linear regression perspective the covariates are highly dependent and existing results on regularized estimation with missing data from iidcovariates are not applicable at the heart of our analysis lies 1 a novel concentration result when the innovation noise satisfies the convex concentration property as well as 2 a new quantity for characterizing the interactions of the timevarying observation process with the underlying dynamical system | [['highdimensional', 'time', 'series', 'data', 'exist', 'in', 'numerous', 'areas', 'such', 'as', 'finance', 'genomics', 'healthcare', 'and', 'neuroscience', 'an', 'unavoidable', 'aspect', 'of', 'all', 'such', 'datasets', 'is', 'missing', 'data', 'and', 'dealing', 'with', 'this', 'issue', 'has', 'been', 'an', 'important', 'focus', 'in', 'statistics', 'control', 'and', 'machine', 'learning', 'in', 'this', 'work', 'we', 'consider', 'a', 'highdimensional', 'estimation', 'problem', 'where', 'a', 'dynamical', 'system', 'governed', 'by', 'a', 'stable', 'vector', 'autoregressive', 'model', 'is', 'randomly', 'and', 'only', 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1,802.09512 | Goldstone modes and photonization for higher form symmetries | We discuss generalized global symmetries and their breaking. We extend
Goldstone's theorem to higher form symmetries by showing that a perimeter law
for an extended $p$-dimensional defect operator charged under a continuous
$p$-form generalized global symmetry necessarily results in a gapless mode in
the spectrum. We also show that a $p$-form symmetry in a conformal theory in
$2(p+1)$ dimensions has a free realization. In four dimensions this means any
1-form symmetry in a $CFT_4$ can be realized by free Maxwell electrodynamics,
i.e. the current can be photonized. The photonized theory has infinitely many
conserved 0-form charges that are constructed by integrating the symmetry
currents against suitable 1-forms. We study these charges by developing a
twistor-based formalism that is a 4d analogue of the usual holomorphic complex
analysis familiar in $CFT_2$. The charges are shown to obey an algebra with
central extension, which is an analogue of the 2d Abelian Kac-Moody algebra for
higher form symmetries.
| hep-th cond-mat.str-el | we discuss generalized global symmetries and their breaking we extend goldstones theorem to higher form symmetries by showing that a perimeter law for an extended pdimensional defect operator charged under a continuous pform generalized global symmetry necessarily results in a gapless mode in the spectrum we also show that a pform symmetry in a conformal theory in 2p1 dimensions has a free realization in four dimensions this means any 1form symmetry in a cft_4 can be realized by free maxwell electrodynamics ie the current can be photonized the photonized theory has infinitely many conserved 0form charges that are constructed by integrating the symmetry currents against suitable 1forms we study these charges by developing a twistorbased formalism that is a 4d analogue of the usual holomorphic complex analysis familiar in cft_2 the charges are shown to obey an algebra with central extension which is an analogue of the 2d abelian kacmoody algebra for higher form symmetries | [['we', 'discuss', 'generalized', 'global', 'symmetries', 'and', 'their', 'breaking', 'we', 'extend', 'goldstones', 'theorem', 'to', 'higher', 'form', 'symmetries', 'by', 'showing', 'that', 'a', 'perimeter', 'law', 'for', 'an', 'extended', 'pdimensional', 'defect', 'operator', 'charged', 'under', 'a', 'continuous', 'pform', 'generalized', 'global', 'symmetry', 'necessarily', 'results', 'in', 'a', 'gapless', 'mode', 'in', 'the', 'spectrum', 'we', 'also', 'show', 'that', 'a', 'pform', 'symmetry', 'in', 'a', 'conformal', 'theory', 'in', '2p1', 'dimensions', 'has', 'a', 'free', 'realization', 'in', 'four', 'dimensions', 'this', 'means', 'any', '1form', 'symmetry', 'in', 'a', 'cft_4', 'can', 'be', 'realized', 'by', 'free', 'maxwell', 'electrodynamics', 'ie', 'the', 'current', 'can', 'be', 'photonized', 'the', 'photonized', 'theory', 'has', 'infinitely', 'many', 'conserved', '0form', 'charges', 'that', 'are', 'constructed', 'by', 'integrating', 'the', 'symmetry', 'currents', 'against', 'suitable', '1forms', 'we', 'study', 'these', 'charges', 'by', 'developing', 'a', 'twistorbased', 'formalism', 'that', 'is', 'a', '4d', 'analogue', 'of', 'the', 'usual', 'holomorphic', 'complex', 'analysis', 'familiar', 'in', 'cft_2', 'the', 'charges', 'are', 'shown', 'to', 'obey', 'an', 'algebra', 'with', 'central', 'extension', 'which', 'is', 'an', 'analogue', 'of', 'the', '2d', 'abelian', 'kacmoody', 'algebra', 'for', 'higher', 'form', 'symmetries']] | [-0.1687735119939925, 0.17858084598265123, -0.07960955045045981, 0.08507269760061152, -0.0964249566660013, -0.14574136334514015, -0.06654237923699316, 0.3216477395370116, -0.22218536955663581, -0.215406506864074, 0.09120086309792218, -0.2530506294817219, -0.174336992825071, 0.12316715715185197, -0.07446041597689508, 0.008501946926116943, -0.05818115133073887, 0.07615060521764498, -0.11456135787477631, -0.1881199602822901, 0.3396423942245105, -0.018596188522863134, 0.313013540486519, 0.035098966047870835, 0.08835548884996207, 0.02590123971534613, 0.04424940824228662, 0.034280833873435175, -0.10315961790445347, 0.10517168467182642, 0.2379960325741349, 0.01938022755001203, 0.16795529601060682, -0.43681274402545756, -0.21667605290323302, 0.11796521668754567, 0.1531322353574283, 0.10742134159336512, -0.08678996856278721, -0.3038053259411766, 0.09229239554820108, -0.19643134018101918, -0.23326712710405487, -0.13470240495185934, 0.005526878743195066, -0.0761988791621905, -0.2595492332285039, 0.0737953959807093, 0.10445662237265531, 0.0933994902465249, -0.09987692473291912, -0.03116126325106236, -0.10531628739356605, 0.03869216320914478, 0.057737874470535494, 0.018806623736262518, 0.11305793988962773, -0.12854814638225423, -0.18469659065267716, 0.3637272690398485, -0.06612344237129672, -0.31286835720385214, 0.11660717360772728, -0.1436350442456946, -0.20298329396462494, 0.09958795504720602, 0.06692945970575405, 0.1236193681212718, -0.139363851349533, 0.21367911213447394, -0.09574237940954713, 0.10214950264510668, 0.0856861133475368, 0.012693584297047136, 0.23520179423107918, 0.055211599573821706, 0.08281167367970863, 0.1404498173441324, 0.04706845732536654, -0.12044510476632056, -0.39062289389617305, -0.20074863202801507, -0.14665973788561767, 0.1389070355943617, -0.09017689172945098, -0.11921842276400983, 0.3788558317780543, 0.09850275492266329, 0.1527949096634984, 0.04405974769079145, 0.1912783769148043, 0.17653262795076943, 0.15905596912850692, 0.0604621939166309, 0.18787890090074488, 0.17642458523106244, 0.031882841495364855, -0.17692878261228318, -0.12144859769500281, 0.16609802575830637] |
1,802.09513 | Typical and Generic Ranks in Matrix Completion | We consider the problem of exact low-rank matrix completion from a geometric
viewpoint: given a partially filled matrix M, we keep the positions of
specified and unspecified entries fixed, and study how the minimal completion
rank depends on the values of the known entries. If the entries of the matrix
are complex numbers, then for a fixed pattern of locations of specified and
unspecified entries there is a unique completion rank which occurs with
positive probability. We call this rank the generic completion rank. Over the
real numbers there can be multiple ranks that occur with positive probability;
we call them typical completion ranks. We introduce these notions formally, and
provide a number of inequalities and exact results on typical and generic ranks
for different families of patterns of known and unknown entries.
| math.ST cs.NA math.AG math.NA math.RA stat.TH | we consider the problem of exact lowrank matrix completion from a geometric viewpoint given a partially filled matrix m we keep the positions of specified and unspecified entries fixed and study how the minimal completion rank depends on the values of the known entries if the entries of the matrix are complex numbers then for a fixed pattern of locations of specified and unspecified entries there is a unique completion rank which occurs with positive probability we call this rank the generic completion rank over the real numbers there can be multiple ranks that occur with positive probability we call them typical completion ranks we introduce these notions formally and provide a number of inequalities and exact results on typical and generic ranks for different families of patterns of known and unknown entries | [['we', 'consider', 'the', 'problem', 'of', 'exact', 'lowrank', 'matrix', 'completion', 'from', 'a', 'geometric', 'viewpoint', 'given', 'a', 'partially', 'filled', 'matrix', 'm', 'we', 'keep', 'the', 'positions', 'of', 'specified', 'and', 'unspecified', 'entries', 'fixed', 'and', 'study', 'how', 'the', 'minimal', 'completion', 'rank', 'depends', 'on', 'the', 'values', 'of', 'the', 'known', 'entries', 'if', 'the', 'entries', 'of', 'the', 'matrix', 'are', 'complex', 'numbers', 'then', 'for', 'a', 'fixed', 'pattern', 'of', 'locations', 'of', 'specified', 'and', 'unspecified', 'entries', 'there', 'is', 'a', 'unique', 'completion', 'rank', 'which', 'occurs', 'with', 'positive', 'probability', 'we', 'call', 'this', 'rank', 'the', 'generic', 'completion', 'rank', 'over', 'the', 'real', 'numbers', 'there', 'can', 'be', 'multiple', 'ranks', 'that', 'occur', 'with', 'positive', 'probability', 'we', 'call', 'them', 'typical', 'completion', 'ranks', 'we', 'introduce', 'these', 'notions', 'formally', 'and', 'provide', 'a', 'number', 'of', 'inequalities', 'and', 'exact', 'results', 'on', 'typical', 'and', 'generic', 'ranks', 'for', 'different', 'families', 'of', 'patterns', 'of', 'known', 'and', 'unknown', 'entries']] | [-0.15702426555405433, 0.12251525738843738, 0.004410738755661742, 0.060270510676940135, -0.05876064804361615, -0.15494164683386907, 0.0627913073727623, 0.36089537942894084, -0.2938349901705532, -0.2575897868596634, 0.15865423150414854, -0.26412916008411047, -0.2054871319884196, 0.09894282327215642, -0.10100618603506259, 0.031139594773325154, 0.028299263636476564, 0.1488700172239372, -0.15756436811943444, -0.2861537673069458, 0.38691368868357423, -0.012439148710634475, 0.20342356425576977, 0.002974172319719722, 0.1485261326564714, 0.03912213201638087, -0.06292988064950962, 0.0426057873055675, -0.09877905643159302, 0.12107834180281322, 0.25948109047284307, 0.21189014313224339, 0.23723014046375016, -0.3892245771489421, -0.10603866466370068, 0.2201669653615025, 0.0638096344209087, 0.06332571163188834, -0.0436026947476544, -0.248142119616102, 0.14230764495678022, -0.1687116877743064, -0.12961582558866785, -0.06138216654938135, 0.020635837734557856, -0.0031323613532419714, -0.319135613648459, 0.020934961519127052, 0.009239491894561098, 0.04298786626151882, -0.049512041935739215, -0.18450043424683854, 0.056372326529143674, 0.14382589836009688, 0.07021187702491459, -0.05602808618792018, 0.08741373457434706, -0.09222710205949283, -0.08324341292149927, 0.3618178188772802, -0.020312969915960963, -0.22901886009744235, 0.17015295979545864, -0.12827062966035946, -0.13461344590396584, 0.128442847751137, 0.15425339687083447, 0.13006804015266857, -0.039253198261603825, 0.12319994523562841, -0.16048699027081406, 0.17670924453803555, 0.10239508251232424, 0.013779773586954838, 0.18580305507700695, 0.05830376992996474, 0.08101469216364107, 0.09491319440504802, -0.024533136088017698, -0.04966803693345615, -0.31914636286551523, -0.12083305561866023, -0.22508081066933341, 0.06322994232317783, -0.13831440276998933, -0.21264558009579218, 0.44904392669187454, 0.11220749861147619, 0.27064303660247113, 0.14561432460585566, 0.2536301931744455, 0.0996953874854441, 0.017290894547827486, 0.08851533732552053, 0.08015375556704357, 0.14530671799303332, 0.006114341413905963, -0.10792716769011397, 0.09981014608725891, 0.10754259666813103] |
1,802.09514 | Best Arm Identification for Contaminated Bandits | This paper studies active learning in the context of robust statistics.
Specifically, we propose a variant of the Best Arm Identification problem for
\emph{contaminated bandits}, where each arm pull has probability $\varepsilon$
of generating a sample from an arbitrary contamination distribution instead of
the true underlying distribution. The goal is to identify the best (or
approximately best) true distribution with high probability, with a secondary
goal of providing guarantees on the quality of this distribution. The primary
challenge of the contaminated bandit setting is that the true distributions are
only partially identifiable, even with infinite samples. To address this, we
develop tight, non-asymptotic sample complexity bounds for high-probability
estimation of the first two robust moments (median and median absolute
deviation) from contaminated samples. These concentration inequalities are the
main technical contributions of the paper and may be of independent interest.
Using these results, we adapt several classical Best Arm Identification
algorithms to the contaminated bandit setting and derive sample complexity
upper bounds for our problem. Finally, we provide matching
information-theoretic lower bounds on the sample complexity (up to a small
logarithmic factor).
| math.ST cs.LG stat.ML stat.TH | this paper studies active learning in the context of robust statistics specifically we propose a variant of the best arm identification problem for emphcontaminated bandits where each arm pull has probability varepsilon of generating a sample from an arbitrary contamination distribution instead of the true underlying distribution the goal is to identify the best or approximately best true distribution with high probability with a secondary goal of providing guarantees on the quality of this distribution the primary challenge of the contaminated bandit setting is that the true distributions are only partially identifiable even with infinite samples to address this we develop tight nonasymptotic sample complexity bounds for highprobability estimation of the first two robust moments median and median absolute deviation from contaminated samples these concentration inequalities are the main technical contributions of the paper and may be of independent interest using these results we adapt several classical best arm identification algorithms to the contaminated bandit setting and derive sample complexity upper bounds for our problem finally we provide matching informationtheoretic lower bounds on the sample complexity up to a small logarithmic factor | [['this', 'paper', 'studies', 'active', 'learning', 'in', 'the', 'context', 'of', 'robust', 'statistics', 'specifically', 'we', 'propose', 'a', 'variant', 'of', 'the', 'best', 'arm', 'identification', 'problem', 'for', 'emphcontaminated', 'bandits', 'where', 'each', 'arm', 'pull', 'has', 'probability', 'varepsilon', 'of', 'generating', 'a', 'sample', 'from', 'an', 'arbitrary', 'contamination', 'distribution', 'instead', 'of', 'the', 'true', 'underlying', 'distribution', 'the', 'goal', 'is', 'to', 'identify', 'the', 'best', 'or', 'approximately', 'best', 'true', 'distribution', 'with', 'high', 'probability', 'with', 'a', 'secondary', 'goal', 'of', 'providing', 'guarantees', 'on', 'the', 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1,802.09515 | Representations of Sparse Distributed Networks: A Locality-Sensitive
Approach | In 1999, Brodal and Fagerberg (BF) gave an algorithm for maintaining a low
outdegree orientation of a dynamic uniformly sparse graph. Specifically, for a
dynamic graph on $n$-vertices, with arboricity bounded by $\alpha$ at all
times, the BF algorithm supports edge updates in $O(\log n)$ amortized update
time, while keeping the maximum outdegree in the graph bounded by $O(\alpha)$.
Such an orientation provides a basic data structure for uniformly sparse
graphs, which found applications to a plethora of dynamic graph algorithms.
A significant weakness of the BF algorithm is the possible \emph{temporary}
blowup of the maximum outdegree, following edge insertions. Although BF
eventually reduces all outdegrees to $O(\alpha)$, local memory usage at the
vertices, which is an important quality measure in distributed systems, cannot
be bounded. We show how to modify the BF algorithm to guarantee that the
outdegrees of all vertices are bounded by $O(\alpha)$ at all times, without
hurting any of its other properties, and present an efficient distributed
implementation of the modified algorithm. This provides the \emph{first}
representation of distributed networks in which the local memory usage at all
vertices is bounded by the arboricity (which is essentially the average degree
of the densest subgraph) rather than the maximum degree.
For settings where there are no local memory constraints, we take the
temporary outdegree blowup to the extreme and allow a permanent outdegree
blowup. This allows us to address the second significant weakness of the BF
algorithm -- its inherently \emph{global} nature: An insertion of an edge
$(u,v)$ may trigger changes in the orientations of edges that are far away from
$u$ and $v$. We suggest an alternative \emph{local} scheme, which does not
guarantee any outdegree bound on the vertices, yet is just as efficient as the
BF scheme for various applications.
| cs.DS | in 1999 brodal and fagerberg bf gave an algorithm for maintaining a low outdegree orientation of a dynamic uniformly sparse graph specifically for a dynamic graph on nvertices with arboricity bounded by alpha at all times the bf algorithm supports edge updates in olog n amortized update time while keeping the maximum outdegree in the graph bounded by oalpha such an orientation provides a basic data structure for uniformly sparse graphs which found applications to a plethora of dynamic graph algorithms a significant weakness of the bf algorithm is the possible emphtemporary blowup of the maximum outdegree following edge insertions although bf eventually reduces all outdegrees to oalpha local memory usage at the vertices which is an important quality measure in distributed systems cannot be bounded we show how to modify the bf algorithm to guarantee that the outdegrees of all vertices are bounded by oalpha at all times without hurting any of its other properties and present an efficient distributed implementation of the modified algorithm this provides the emphfirst representation of distributed networks in which the local memory usage at all vertices is bounded by the arboricity which is essentially the average degree of the densest subgraph rather than the maximum degree for settings where there are no local memory constraints we take the temporary outdegree blowup to the extreme and allow a permanent outdegree blowup this allows us to address the second significant weakness of the bf algorithm its inherently emphglobal nature an insertion of an edge uv may trigger changes in the orientations of edges that are far away from u and v we suggest an alternative emphlocal scheme which does not guarantee any outdegree bound on the vertices yet is just as efficient as the bf scheme for various applications | [['in', '1999', 'brodal', 'and', 'fagerberg', 'bf', 'gave', 'an', 'algorithm', 'for', 'maintaining', 'a', 'low', 'outdegree', 'orientation', 'of', 'a', 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1,802.09516 | Bell correlations depth in many-body systems | While the interest in multipartite nonlocality has grown in recent years, its
existence in large quantum systems is difficult to confirm experimentally. This
is mostly due to the inadequacy of standard multipartite Bell inequalities to
many-body systems: such inequalities usually rely on expectation values
involving many parties and require an individual addressing of each party. In a
recent work [J. Tura et al. Science 344, 6189 (2014)] some of us proposed
simpler Bell inequalities overcoming such difficulties, opening the way for the
detection of Bell correlations with trusted collective measurements through
Bell correlation witnesses [R. Schmied et al. Science 352, 441 (2016)], hence
demonstrating the presence of Bell correlations with assumptions on the
statistics. Here, we address the question of assessing the number of particles
sharing genuinely nonlocal correlations in a multipartite system. This
endeavour is a priori challenging, as known Bell inequalities for genuine
nonlocality suffer from the above shortcomings, plus a number of measurement
settings scaling exponentially with the system size. We first show that most of
these constraints drop once the witnesses corresponding to these inequalities
are expressed: in systems where multipartite expectation values can be
evaluated, these witnesses can reveal genuine nonlocality for an arbitrary
number of particles with just two collective measurements. We then introduce a
general framework focused on two-body Bell-like inequalities. We show that they
also provide information about the number of particles that are genuinely
nonlocal. Then, we characterize all such inequalities for a finite system size.
We provide witnesses of Bell correlation depth $k\leq6$ for any number of
parties, within experimental reach. A violation for depth $6$ is achieved with
existing data from an ensemble of 480 atoms.
| quant-ph | while the interest in multipartite nonlocality has grown in recent years its existence in large quantum systems is difficult to confirm experimentally this is mostly due to the inadequacy of standard multipartite bell inequalities to manybody systems such inequalities usually rely on expectation values involving many parties and require an individual addressing of each party in a recent work j tura et al science 344 6189 2014 some of us proposed simpler bell inequalities overcoming such difficulties opening the way for the detection of bell correlations with trusted collective measurements through bell correlation witnesses r schmied et al science 352 441 2016 hence demonstrating the presence of bell correlations with assumptions on the statistics here we address the question of assessing the number of particles sharing genuinely nonlocal correlations in a multipartite system this endeavour is a priori challenging as known bell inequalities for genuine nonlocality suffer from the above shortcomings plus a number of measurement settings scaling exponentially with the system size we first show that most of these constraints drop once the witnesses corresponding to these inequalities are expressed in systems where multipartite expectation values can be evaluated these witnesses can reveal genuine nonlocality for an arbitrary number of particles with just two collective measurements we then introduce a general framework focused on twobody belllike inequalities we show that they also provide information about the number of particles that are genuinely nonlocal then we characterize all such inequalities for a finite system size we provide witnesses of bell correlation depth kleq6 for any number of parties within experimental reach a violation for depth 6 is achieved with existing data from an ensemble of 480 atoms | [['while', 'the', 'interest', 'in', 'multipartite', 'nonlocality', 'has', 'grown', 'in', 'recent', 'years', 'its', 'existence', 'in', 'large', 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1,802.09517 | Memory Tagging and how it improves C/C++ memory safety | Memory safety in C and C++ remains largely unresolved. A technique usually
called "memory tagging" may dramatically improve the situation if implemented
in hardware with reasonable overhead. This paper describes two existing
implementations of memory tagging: one is the full hardware implementation in
SPARC; the other is a partially hardware-assisted compiler-based tool for
AArch64. We describe the basic idea, evaluate the two implementations, and
explain how they improve memory safety. This paper is intended to initiate a
wider discussion of memory tagging and to motivate the CPU and OS vendors to
add support for it in the near future.
| cs.CR cs.AR cs.PL | memory safety in c and c remains largely unresolved a technique usually called memory tagging may dramatically improve the situation if implemented in hardware with reasonable overhead this paper describes two existing implementations of memory tagging one is the full hardware implementation in sparc the other is a partially hardwareassisted compilerbased tool for aarch64 we describe the basic idea evaluate the two implementations and explain how they improve memory safety this paper is intended to initiate a wider discussion of memory tagging and to motivate the cpu and os vendors to add support for it in the near future | [['memory', 'safety', 'in', 'c', 'and', 'c', 'remains', 'largely', 'unresolved', 'a', 'technique', 'usually', 'called', 'memory', 'tagging', 'may', 'dramatically', 'improve', 'the', 'situation', 'if', 'implemented', 'in', 'hardware', 'with', 'reasonable', 'overhead', 'this', 'paper', 'describes', 'two', 'existing', 'implementations', 'of', 'memory', 'tagging', 'one', 'is', 'the', 'full', 'hardware', 'implementation', 'in', 'sparc', 'the', 'other', 'is', 'a', 'partially', 'hardwareassisted', 'compilerbased', 'tool', 'for', 'aarch64', 'we', 'describe', 'the', 'basic', 'idea', 'evaluate', 'the', 'two', 'implementations', 'and', 'explain', 'how', 'they', 'improve', 'memory', 'safety', 'this', 'paper', 'is', 'intended', 'to', 'initiate', 'a', 'wider', 'discussion', 'of', 'memory', 'tagging', 'and', 'to', 'motivate', 'the', 'cpu', 'and', 'os', 'vendors', 'to', 'add', 'support', 'for', 'it', 'in', 'the', 'near', 'future']] | [-0.1273961035661738, 0.06306656769175797, -0.05518203256463613, 0.07941065717963595, -0.13020649628544395, -0.21032775109257512, 0.06605575172315267, 0.4029483953961218, -0.2649087362330068, -0.3363940579242854, 0.12592995789541742, -0.21187585847560467, -0.09123541192725451, 0.1876101205595816, -0.14065256245396654, 0.05365207565318078, 0.0917680753157427, 0.013714378172851573, -0.03833151545706017, -0.2727368049078969, 0.26015006447907046, 0.0884369100547499, 0.27980065094589285, 0.09631928328349433, 0.0156486758943459, -0.025509573326380264, -0.0686029533789766, -0.04046289021186907, -0.04860768423649727, 0.12024294119916216, 0.2681514152485614, 0.22062394337145366, 0.30568744775114787, -0.45112723561775203, -0.15658765057139476, 0.053012330564811375, 0.1490806658197232, 0.07537672450063948, -0.042791013784631335, -0.21278494487356658, 0.12220183392278756, -0.230992381644407, -0.11977321844350433, -0.11664625477384437, -0.019026000231429183, -0.00859935496077694, -0.20292097486254543, -0.06497906172892662, 0.08686836119129727, 0.010800289262951625, 0.016461822411252394, -0.1074457091345179, 0.06941341132753426, 0.12404159448495267, -0.0056831921483719286, 0.057781238463998894, 0.1410774755141124, -0.12281659533993772, -0.1524599891348808, 0.3833475320440049, -0.027878642699568336, -0.20630583124743265, 0.22400816290103126, -0.05369281617811683, -0.20551967705515298, 0.03807792710987004, 0.2085348487069661, 0.04450198999051042, -0.1936715288285279, 0.08949247694273263, 0.03826814796305215, 0.20917693706172885, 0.02997933900821013, 0.07450876706703143, 0.14535717010460417, 0.2685210319903839, -0.0010191227657475857, 0.1567695753730015, -0.05142084179878837, -0.08459211920265748, -0.2513569337739186, -0.2080623065779983, -0.12691663369075443, -0.005332162500255638, -0.006416299580855088, -0.13826712789108056, 0.38721795064030273, 0.2520326721738328, 0.14072839438802365, 0.07721801703287796, 0.4035168194324907, 0.018117365864754625, 0.1356441579274645, 0.1445788178367145, 0.1697944865157508, 0.030441771863461142, 0.1898450679004644, -0.22950101411910823, 0.10544269556424232, -0.009515694994009052] |
1,802.09518 | Orthogonal Basis Function Over the Unit Circle with the Minimax Property | We construct an orthogonal basis of functions defined over the unit circle as
the product of the common sinusoidal functions of the azimuth angle by radial
functions which are essentially sines of a polynomials of the radial distance
to the origin. The main impetus of this approach is to generate basis functions
where the minima and maxima along both coordinates, the azimuth and the
distance r to the center, have the same amplitude, akin to the Chebyshev
polynomial basis of the one-dimensional unit interval. The construction is
based on numerical evaluation of the overlap integrals, which have the format
of generalized Fresnel integrals.
| math.NA | we construct an orthogonal basis of functions defined over the unit circle as the product of the common sinusoidal functions of the azimuth angle by radial functions which are essentially sines of a polynomials of the radial distance to the origin the main impetus of this approach is to generate basis functions where the minima and maxima along both coordinates the azimuth and the distance r to the center have the same amplitude akin to the chebyshev polynomial basis of the onedimensional unit interval the construction is based on numerical evaluation of the overlap integrals which have the format of generalized fresnel integrals | [['we', 'construct', 'an', 'orthogonal', 'basis', 'of', 'functions', 'defined', 'over', 'the', 'unit', 'circle', 'as', 'the', 'product', 'of', 'the', 'common', 'sinusoidal', 'functions', 'of', 'the', 'azimuth', 'angle', 'by', 'radial', 'functions', 'which', 'are', 'essentially', 'sines', 'of', 'a', 'polynomials', 'of', 'the', 'radial', 'distance', 'to', 'the', 'origin', 'the', 'main', 'impetus', 'of', 'this', 'approach', 'is', 'to', 'generate', 'basis', 'functions', 'where', 'the', 'minima', 'and', 'maxima', 'along', 'both', 'coordinates', 'the', 'azimuth', 'and', 'the', 'distance', 'r', 'to', 'the', 'center', 'have', 'the', 'same', 'amplitude', 'akin', 'to', 'the', 'chebyshev', 'polynomial', 'basis', 'of', 'the', 'onedimensional', 'unit', 'interval', 'the', 'construction', 'is', 'based', 'on', 'numerical', 'evaluation', 'of', 'the', 'overlap', 'integrals', 'which', 'have', 'the', 'format', 'of', 'generalized', 'fresnel', 'integrals']] | [-0.17542459663383445, 0.06393798363513147, -0.10946683637182979, 0.023598816558872394, -0.050787893092277846, -0.041012941660739266, 0.01216240426145711, 0.362259224210911, -0.30624307200167944, -0.2123360746829472, 0.10159820487532874, -0.2418160406076937, -0.14298953967015213, 0.20128250899679453, -0.003733832705585123, 0.07481284728002491, 0.031526971045537915, 0.043564665836544295, -0.15498845682488482, -0.2302177451704674, 0.321395907062784, 0.06991550113296009, 0.23111621898065493, 0.0031123530770679124, 0.11617647009693736, 0.046010614711863615, -0.06052305329211273, -0.04474464492890441, -0.10738721197624736, 0.1538949545328189, 0.18618206260273756, 0.11830059122022929, 0.2520256620759452, -0.371417804096726, -0.12842984141406685, 0.10463391496230243, 0.1568356202870101, 0.005674799829631031, 0.03830063689581471, -0.24538852943975514, 0.0033151171468559977, -0.11867979304747457, -0.19656052012267766, -0.027132147145502775, 0.052846600925459446, 0.1387775214202476, -0.282554908610374, 0.05080367838150089, 0.024206700015957785, 0.10470718374132242, -0.05742221782029181, -0.15288680746192926, -0.029310508486498327, 0.10785179065305342, 0.04524000707869102, 0.12309265155254782, 0.07828308927184603, -0.033853587458809856, -0.10694547564026366, 0.3713334922054873, -0.03638605730273553, -0.2725645078490805, 0.1125284645738062, -0.1980672508378703, -0.05407502757638548, 0.11574787403077104, 0.16923892325314793, 0.11875531687717704, -0.12404657762443412, 0.08504806254940668, -0.09275881225442134, 0.11851053443275057, 0.13892088077953357, 0.03524355433239303, 0.19843703772402504, 0.021161328720887308, 0.08599141149700266, 0.145150990953253, -0.11075130473252712, -0.12764714665493918, -0.32969657273836506, -0.14783910466205483, -0.22326414662331923, -0.022963681407453654, -0.14051194610136325, -0.25443340754769384, 0.4686522882395578, 0.07302116392885596, 0.21126335508018299, 0.06314625842406334, 0.2868022284316785, 0.17057996577678194, 0.13822073526499631, 0.04332948580058744, 0.1951289314740491, 0.1452891711548007, 0.05334020513042048, -0.18512959018783662, 0.0278780497610569, 0.14728991915155382] |
1,802.09519 | Leading-order Stokes flows near a corner | Singular solutions of the Stokes equations play important roles in a variety
of fluid dynamics problems. They allow the calculation of exact flows, are the
basis of the boundary integral methods used in numerical computations, and can
be exploited to derive asymptotic flows in a wide range of physical problems.
The most fundamental singular solution is the flow's Green function due to a
point force, termed the Stokeslet. Its expression is classical both in free
space and near a flat surface. Motivated by problems in biological physics
occurring near corners, we derive in this paper the asymptotic behaviour for
the Stokeslet both near and far from a corner geometry by using complex
analysis on a known double integral solution for corner flows. We investigate
all possible orientations of the point force relative to the corner and all
corner geometries from acute to obtuse. The case of salient corners is also
addressed for point forces aligned with both walls. We use experiments on beads
sedimenting in corn syrup to qualitatively test the applicability of our
results. The final results and scaling laws will allow to address the role of
hydrodynamic interactions in problems from colloidal science to microfluidics
and biological physics.
| physics.flu-dyn physics.bio-ph | singular solutions of the stokes equations play important roles in a variety of fluid dynamics problems they allow the calculation of exact flows are the basis of the boundary integral methods used in numerical computations and can be exploited to derive asymptotic flows in a wide range of physical problems the most fundamental singular solution is the flows green function due to a point force termed the stokeslet its expression is classical both in free space and near a flat surface motivated by problems in biological physics occurring near corners we derive in this paper the asymptotic behaviour for the stokeslet both near and far from a corner geometry by using complex analysis on a known double integral solution for corner flows we investigate all possible orientations of the point force relative to the corner and all corner geometries from acute to obtuse the case of salient corners is also addressed for point forces aligned with both walls we use experiments on beads sedimenting in corn syrup to qualitatively test the applicability of our results the final results and scaling laws will allow to address the role of hydrodynamic interactions in problems from colloidal science to microfluidics and biological physics | [['singular', 'solutions', 'of', 'the', 'stokes', 'equations', 'play', 'important', 'roles', 'in', 'a', 'variety', 'of', 'fluid', 'dynamics', 'problems', 'they', 'allow', 'the', 'calculation', 'of', 'exact', 'flows', 'are', 'the', 'basis', 'of', 'the', 'boundary', 'integral', 'methods', 'used', 'in', 'numerical', 'computations', 'and', 'can', 'be', 'exploited', 'to', 'derive', 'asymptotic', 'flows', 'in', 'a', 'wide', 'range', 'of', 'physical', 'problems', 'the', 'most', 'fundamental', 'singular', 'solution', 'is', 'the', 'flows', 'green', 'function', 'due', 'to', 'a', 'point', 'force', 'termed', 'the', 'stokeslet', 'its', 'expression', 'is', 'classical', 'both', 'in', 'free', 'space', 'and', 'near', 'a', 'flat', 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1,802.0952 | A stable flat universe with variable Cosmological constant in f(R,T)
Gravity | In this paper, a general FRW cosmological model has been constructed in
$f(R,T)$ gravity reconstruction with variable cosmological constant. A number
of solutions to the field equations has been generated by utilizing a form for
the Hubble parameter that leads to Berman's law of constant deceleration
parameter $q=m-1$. The possible decelerating and accelerating solutions have
been investigated. For ($q>0$) we get a stable flat decelerating
radiation-dominated universe at $q=1$. For ($q<0$) we get a stable accelerating
solution describing a flat universe with positive energy density and negative
cosmological constant. Nonconventional mechanisms that are expected to address
the late-time acceleration with negative cosmological constant have been
discussed.
| gr-qc | in this paper a general frw cosmological model has been constructed in frt gravity reconstruction with variable cosmological constant a number of solutions to the field equations has been generated by utilizing a form for the hubble parameter that leads to bermans law of constant deceleration parameter qm1 the possible decelerating and accelerating solutions have been investigated for q0 we get a stable flat decelerating radiationdominated universe at q1 for q0 we get a stable accelerating solution describing a flat universe with positive energy density and negative cosmological constant nonconventional mechanisms that are expected to address the latetime acceleration with negative cosmological constant have been discussed | [['in', 'this', 'paper', 'a', 'general', 'frw', 'cosmological', 'model', 'has', 'been', 'constructed', 'in', 'frt', 'gravity', 'reconstruction', 'with', 'variable', 'cosmological', 'constant', 'a', 'number', 'of', 'solutions', 'to', 'the', 'field', 'equations', 'has', 'been', 'generated', 'by', 'utilizing', 'a', 'form', 'for', 'the', 'hubble', 'parameter', 'that', 'leads', 'to', 'bermans', 'law', 'of', 'constant', 'deceleration', 'parameter', 'qm1', 'the', 'possible', 'decelerating', 'and', 'accelerating', 'solutions', 'have', 'been', 'investigated', 'for', 'q0', 'we', 'get', 'a', 'stable', 'flat', 'decelerating', 'radiationdominated', 'universe', 'at', 'q1', 'for', 'q0', 'we', 'get', 'a', 'stable', 'accelerating', 'solution', 'describing', 'a', 'flat', 'universe', 'with', 'positive', 'energy', 'density', 'and', 'negative', 'cosmological', 'constant', 'nonconventional', 'mechanisms', 'that', 'are', 'expected', 'to', 'address', 'the', 'latetime', 'acceleration', 'with', 'negative', 'cosmological', 'constant', 'have', 'been', 'discussed']] | [-0.15301721469270732, 0.15191571962720943, -0.11273605815785111, 0.0706773752155538, -0.14079122466912694, -0.2160903347287116, -0.08228558506421253, 0.3617144317524332, -0.2020016708499137, -0.25170836566710175, 0.07065584921313203, -0.21578297221962855, -0.027438061900507165, 0.16007182272458625, 0.006143372136888639, 0.03626507309810171, -0.04845891027702546, 0.03316984296214046, -0.050853164862722754, -0.27283276273113377, 0.3381530735202415, 0.11672717770605506, 0.21567446930017672, -0.042795290081006174, 0.15645374194279593, -0.15747547140432838, -0.005940270895700691, 0.10747171508780909, -0.28139436757974523, -0.0019581922075166455, 0.19996741502370052, 0.1039169652405072, 0.30278651534034956, -0.3914074035611812, -0.3070541876148573, 0.1714532977576315, 0.18481563998579556, 0.17468996660098574, -0.15333336762170185, -0.2306182966128273, 0.07340212427255399, -0.1960145640977711, -0.19179079860431264, -0.09142434234151019, 0.06176349292794805, -0.024324610873283643, -0.24041448491361905, 0.15007474272564617, -0.03331502578836286, -0.06377038388114362, -0.14217287149579036, -0.05943633149320892, 0.04743870366628299, 0.037486281992762154, 0.13964552029567542, 0.070326739125929, 0.05437160037317366, -0.13549684018625896, -0.06904779843775169, 0.36853164093533775, -0.1455666784456281, -0.16834756097633322, 0.07794321492700926, -0.17044152444632688, -0.11657084774594965, 0.1244720445532914, 0.10609549587100463, 0.09125312962186279, -0.10236600985012527, 0.2087428478495534, 0.03159684497524791, 0.12052689773856469, 0.17134353082258044, -0.025273804326062882, 0.25763759298144645, 0.10433213870954823, 0.02827321106726128, 0.06642073816685709, -0.004705181927969327, -0.11736044686623709, -0.32299232570770775, -0.1659596515907291, -0.14940597079167106, 0.10756153854067033, -0.18307382128402405, -0.2048494822196311, 0.35792013660802524, 0.06432810010177628, 0.181865757177496, 0.032063187398719335, 0.264305303470706, 0.10469093765922875, -0.011349793773952802, 0.11980442251166645, 0.32906491922671505, 0.09339971220634773, 0.1610361165257241, -0.17746829297799915, 0.03538338686910651, 0.06817033345688064] |
1,802.09521 | Moving mesh finite difference solution of non-equilibrium radiation
diffusion equations | A moving mesh finite difference method based on the moving mesh partial
differential equation is proposed for the numerical solution of the 2T model
for multi-material, non-equilibrium radiation diffusion equations. The model
involves nonlinear diffusion coefficients and its solutions stay positive for
all time when they are positive initially. Nonlinear diffusion and preservation
of solution positivity pose challenges in the numerical solution of the model.
A coefficient-freezing predictor-corrector method is used for nonlinear
diffusion while a cutoff strategy with a positive threshold is used to keep the
solutions positive. Furthermore, a two-level moving mesh strategy and a sparse
matrix solver are used to improve the efficiency of the computation. Numerical
results for a selection of examples of multi-material non-equilibrium radiation
diffusion show that the method is capable of capturing the profiles and local
structures of Marshak waves with adequate mesh concentration. The obtained
numerical solutions are in good agreement with those in the existing
literature. Comparison studies are also made between uniform and adaptive
moving meshes and between one-level and two-level moving meshes.
| math.NA | a moving mesh finite difference method based on the moving mesh partial differential equation is proposed for the numerical solution of the 2t model for multimaterial nonequilibrium radiation diffusion equations the model involves nonlinear diffusion coefficients and its solutions stay positive for all time when they are positive initially nonlinear diffusion and preservation of solution positivity pose challenges in the numerical solution of the model a coefficientfreezing predictorcorrector method is used for nonlinear diffusion while a cutoff strategy with a positive threshold is used to keep the solutions positive furthermore a twolevel moving mesh strategy and a sparse matrix solver are used to improve the efficiency of the computation numerical results for a selection of examples of multimaterial nonequilibrium radiation diffusion show that the method is capable of capturing the profiles and local structures of marshak waves with adequate mesh concentration the obtained numerical solutions are in good agreement with those in the existing literature comparison studies are also made between uniform and adaptive moving meshes and between onelevel and twolevel moving meshes | [['a', 'moving', 'mesh', 'finite', 'difference', 'method', 'based', 'on', 'the', 'moving', 'mesh', 'partial', 'differential', 'equation', 'is', 'proposed', 'for', 'the', 'numerical', 'solution', 'of', 'the', '2t', 'model', 'for', 'multimaterial', 'nonequilibrium', 'radiation', 'diffusion', 'equations', 'the', 'model', 'involves', 'nonlinear', 'diffusion', 'coefficients', 'and', 'its', 'solutions', 'stay', 'positive', 'for', 'all', 'time', 'when', 'they', 'are', 'positive', 'initially', 'nonlinear', 'diffusion', 'and', 'preservation', 'of', 'solution', 'positivity', 'pose', 'challenges', 'in', 'the', 'numerical', 'solution', 'of', 'the', 'model', 'a', 'coefficientfreezing', 'predictorcorrector', 'method', 'is', 'used', 'for', 'nonlinear', 'diffusion', 'while', 'a', 'cutoff', 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1,802.09522 | The Hiperwall Visualization Platform for Big Data Research | In the era of Big Data, with the increasing use of large-scale data-driven
applications, the visualization of very large high-resolution images and
extracting useful information (searching for specific targets or rare signal
events) from these images can pose challenges to the current video-wall display
technologies. At Bellarmine University, we have set up an Advanced
Visualization and Computational Lab (AVCL) using a state-of-the-art next
generation video-wall technology, called Hiperwall (Highly Interactive
Parallelized Display Wall). The 16 feet wide by 4.5 feet high Hiperwall
visualization system consists of eight display tiles that are arranged in a 4x2
tile format and has an effective resolution of 16.5 Megapixels. Using
Hiperwall, we can perform interactive visual data analytics of large images by
conducting comparative views of multiple large images in Astronomy and multiple
data events in experimental High Energy Physics (HEP). Users can display a
single large image across all the display tiles, or view many different images
simultaneously on multiple display tiles. Hiperwall enables simultaneous
visualization of multiple high resolution images and its contents on the entire
display wall without loss of clarity. Hiperwall's middleware also allows
researchers in geographically diverse locations to collaborate on large
scientific experiments. In this paper we will provide a description of a new
generation of display wall setup at Bellarmine University that is based on the
Hiperwall technology, which is a robust visualization system for Big Data
research.
| cs.HC | in the era of big data with the increasing use of largescale datadriven applications the visualization of very large highresolution images and extracting useful information searching for specific targets or rare signal events from these images can pose challenges to the current videowall display technologies at bellarmine university we have set up an advanced visualization and computational lab avcl using a stateoftheart next generation videowall technology called hiperwall highly interactive parallelized display wall the 16 feet wide by 45 feet high hiperwall visualization system consists of eight display tiles that are arranged in a 4x2 tile format and has an effective resolution of 165 megapixels using hiperwall we can perform interactive visual data analytics of large images by conducting comparative views of multiple large images in astronomy and multiple data events in experimental high energy physics hep users can display a single large image across all the display tiles or view many different images simultaneously on multiple display tiles hiperwall enables simultaneous visualization of multiple high resolution images and its contents on the entire display wall without loss of clarity hiperwalls middleware also allows researchers in geographically diverse locations to collaborate on large scientific experiments in this paper we will provide a description of a new generation of display wall setup at bellarmine university that is based on the hiperwall technology which is a robust visualization system for big data research | [['in', 'the', 'era', 'of', 'big', 'data', 'with', 'the', 'increasing', 'use', 'of', 'largescale', 'datadriven', 'applications', 'the', 'visualization', 'of', 'very', 'large', 'highresolution', 'images', 'and', 'extracting', 'useful', 'information', 'searching', 'for', 'specific', 'targets', 'or', 'rare', 'signal', 'events', 'from', 'these', 'images', 'can', 'pose', 'challenges', 'to', 'the', 'current', 'videowall', 'display', 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-0.044227194142424396] |
1,802.09523 | Interaction of orthogonal-polarized waves in 1D metamaterial with Kerr
nonlinearity | A theoretical study of wave propagation in 1D metamaterial is presented. A
system of nonlinear evolution equation for electromagnetic waves with both
polarizations account is derived by means of projection operators method for
general nonlinearity and dispersion. The system describes interaction of
opposite directed waves with a given polarization. The particular case of Kerr
nonlinearity and Drude dispersion is considered. In such approximation it
results in the correspondent systems of nonlinear equations that generalizes
the Sch\"{a}fer-Wayne one. Particular solutions in case of slow-varying
envelopes are found, plotted and analyzed in gigahertz range. Travelling wave
solution for the system of equation of interaction of orthogonal-polarized
waves is also obtained and the correspondent nonlinear dispersion relations are
written in explicit form.
| physics.optics | a theoretical study of wave propagation in 1d metamaterial is presented a system of nonlinear evolution equation for electromagnetic waves with both polarizations account is derived by means of projection operators method for general nonlinearity and dispersion the system describes interaction of opposite directed waves with a given polarization the particular case of kerr nonlinearity and drude dispersion is considered in such approximation it results in the correspondent systems of nonlinear equations that generalizes the schaferwayne one particular solutions in case of slowvarying envelopes are found plotted and analyzed in gigahertz range travelling wave solution for the system of equation of interaction of orthogonalpolarized waves is also obtained and the correspondent nonlinear dispersion relations are written in explicit form | [['a', 'theoretical', 'study', 'of', 'wave', 'propagation', 'in', '1d', 'metamaterial', 'is', 'presented', 'a', 'system', 'of', 'nonlinear', 'evolution', 'equation', 'for', 'electromagnetic', 'waves', 'with', 'both', 'polarizations', 'account', 'is', 'derived', 'by', 'means', 'of', 'projection', 'operators', 'method', 'for', 'general', 'nonlinearity', 'and', 'dispersion', 'the', 'system', 'describes', 'interaction', 'of', 'opposite', 'directed', 'waves', 'with', 'a', 'given', 'polarization', 'the', 'particular', 'case', 'of', 'kerr', 'nonlinearity', 'and', 'drude', 'dispersion', 'is', 'considered', 'in', 'such', 'approximation', 'it', 'results', 'in', 'the', 'correspondent', 'systems', 'of', 'nonlinear', 'equations', 'that', 'generalizes', 'the', 'schaferwayne', 'one', 'particular', 'solutions', 'in', 'case', 'of', 'slowvarying', 'envelopes', 'are', 'found', 'plotted', 'and', 'analyzed', 'in', 'gigahertz', 'range', 'travelling', 'wave', 'solution', 'for', 'the', 'system', 'of', 'equation', 'of', 'interaction', 'of', 'orthogonalpolarized', 'waves', 'is', 'also', 'obtained', 'and', 'the', 'correspondent', 'nonlinear', 'dispersion', 'relations', 'are', 'written', 'in', 'explicit', 'form']] | [-0.20627926790349824, 0.07653960076129158, -0.036980399759328465, 0.05206108897711324, -0.08483463323919765, -0.12138103218985942, -0.07165558802721611, 0.34594430916516455, -0.23635968067525429, -0.22906317280889568, 0.05652268244924371, -0.3130382315642437, -0.1798127149389583, 0.24376595475695143, 0.06502209568664558, 0.0917083424302923, 0.03872933957757334, -0.010194446242382844, -0.0489125398788759, -0.13813081543134936, 0.3478605727570416, -0.023553821139858436, 0.25986122869554973, 0.0044931538316216, 0.11473243092818154, 0.017141126563883054, 0.008059588927870332, 0.038275343119324644, -0.1033970524295617, 0.06215484296682022, 0.23499322951459561, 0.046757107657790814, 0.2175298244534534, -0.409610714274064, -0.2609913704948405, 0.011796910118437925, 0.15321050928432053, 0.14972551735275882, -0.05369633908967598, -0.28925359598360956, 0.007247412668035949, -0.1611669855823709, -0.20539723105839122, -0.02424505335610297, 0.06272781660293932, 0.09749923364882815, -0.2567615877241054, 0.1161947577589456, 0.07111991966395813, 0.0012251484815536415, -0.12871811478161962, -0.0792783754246341, -0.053631639329053585, 0.056410811821756474, 0.03797593201171228, -0.015497215875519155, 0.026932074706133267, -0.13859060992510452, -0.05589752383648528, 0.4270146379910283, -0.1124633504018598, -0.25613390341779946, 0.12223204755484741, -0.18752038767398532, -0.02797490322441494, 0.14338008274119032, 0.2134675940980156, 0.10689774509203637, -0.152244408202547, 0.08430793628262324, -0.01862390631374753, 0.14173687044215405, 0.12829794326670846, 0.04829382726190596, 0.1581986050074131, 0.15414970906025147, 0.016233863254764384, 0.14073615302765838, 0.00012903420996489162, -0.0731401829269983, -0.30989315546654417, -0.13778612764662732, -0.15905571266440516, 0.012166376111948058, -0.08717747407477502, -0.16169308783423345, 0.40835064537310184, 0.11121173643791196, 0.10716886080454215, 0.02990250624676819, 0.24726467292313858, 0.24937773263871166, 0.007500673794203391, 0.07436466171658772, 0.3202780857050823, 0.20433933905057483, 0.11543788975775558, -0.2389534714896137, 0.015716023778669156, 0.06423708640228389] |
1,802.09524 | Magnon-induced superconductivity in a topological insulator coupled to
ferro- and antiferromagnetic insulators | We study the effective interactions between Dirac fermions on the surface of
a three-dimensional topological insulator due to the proximity coupling to the
magnetic fluctuations in a ferromagnetic or antiferromagnetic insulator. Our
results show that the magnetic fluctuations can mediate attractive interactions
between Dirac fermions of both Amperean and BCS type. In the ferromagnetic
case, we find pairing between fermions with parallel momenta, so-called
Amperean pairing, whenever the effective Lagrangian for the magnetic
fluctuations does not contain a quadratic term. The pairing interaction also
increases with increasing Fermi momentum, and is in agreement with previous
studies in the limit of high chemical potential. If a quadratic term is
present, the pairing is instead of BCS type above a certain chemical potential.
In the antiferromagnetic case, BCS pairing occurs when the ferromagnetic
coupling between magnons on the same sublattice exceeds the antiferromagnetic
coupling between magnons on different sublattices. Outside this region in
parameter space, we again find that Amperean pairing is realized.
| cond-mat.supr-con cond-mat.mes-hall | we study the effective interactions between dirac fermions on the surface of a threedimensional topological insulator due to the proximity coupling to the magnetic fluctuations in a ferromagnetic or antiferromagnetic insulator our results show that the magnetic fluctuations can mediate attractive interactions between dirac fermions of both amperean and bcs type in the ferromagnetic case we find pairing between fermions with parallel momenta socalled amperean pairing whenever the effective lagrangian for the magnetic fluctuations does not contain a quadratic term the pairing interaction also increases with increasing fermi momentum and is in agreement with previous studies in the limit of high chemical potential if a quadratic term is present the pairing is instead of bcs type above a certain chemical potential in the antiferromagnetic case bcs pairing occurs when the ferromagnetic coupling between magnons on the same sublattice exceeds the antiferromagnetic coupling between magnons on different sublattices outside this region in parameter space we again find that amperean pairing is realized | [['we', 'study', 'the', 'effective', 'interactions', 'between', 'dirac', 'fermions', 'on', 'the', 'surface', 'of', 'a', 'threedimensional', 'topological', 'insulator', 'due', 'to', 'the', 'proximity', 'coupling', 'to', 'the', 'magnetic', 'fluctuations', 'in', 'a', 'ferromagnetic', 'or', 'antiferromagnetic', 'insulator', 'our', 'results', 'show', 'that', 'the', 'magnetic', 'fluctuations', 'can', 'mediate', 'attractive', 'interactions', 'between', 'dirac', 'fermions', 'of', 'both', 'amperean', 'and', 'bcs', 'type', 'in', 'the', 'ferromagnetic', 'case', 'we', 'find', 'pairing', 'between', 'fermions', 'with', 'parallel', 'momenta', 'socalled', 'amperean', 'pairing', 'whenever', 'the', 'effective', 'lagrangian', 'for', 'the', 'magnetic', 'fluctuations', 'does', 'not', 'contain', 'a', 'quadratic', 'term', 'the', 'pairing', 'interaction', 'also', 'increases', 'with', 'increasing', 'fermi', 'momentum', 'and', 'is', 'in', 'agreement', 'with', 'previous', 'studies', 'in', 'the', 'limit', 'of', 'high', 'chemical', 'potential', 'if', 'a', 'quadratic', 'term', 'is', 'present', 'the', 'pairing', 'is', 'instead', 'of', 'bcs', 'type', 'above', 'a', 'certain', 'chemical', 'potential', 'in', 'the', 'antiferromagnetic', 'case', 'bcs', 'pairing', 'occurs', 'when', 'the', 'ferromagnetic', 'coupling', 'between', 'magnons', 'on', 'the', 'same', 'sublattice', 'exceeds', 'the', 'antiferromagnetic', 'coupling', 'between', 'magnons', 'on', 'different', 'sublattices', 'outside', 'this', 'region', 'in', 'parameter', 'space', 'we', 'again', 'find', 'that', 'amperean', 'pairing', 'is', 'realized']] | [-0.2569837137906355, 0.2564983726768344, -0.03527572806360582, 0.10172728283015536, -0.07688228347518059, -0.15936990768608192, 0.07892082252695878, 0.3382209611142644, -0.23363381791397098, -0.2576453908757301, -0.07897607208900616, -0.3418810792579692, -0.11625403442755573, 0.13444383128731285, 0.07491400773670981, -0.089411602829878, -0.03604926033992528, 0.027945032233360763, -0.15939279551175278, -0.23711519457272584, 0.35968959176484844, -0.03429531115136161, 0.30735334943146997, 0.1289606060267293, 0.009723855779066636, 0.03689021071106751, 0.16884503463248474, 0.0034934780414010865, -0.11975629611842128, 0.02873359522811189, 0.2312210027525427, -0.15840275307122317, 0.20519979540634645, -0.41858091362699956, -0.2058886570381637, 0.09306590935296338, 0.16491843045613966, 0.14737838687467741, -0.04676696159717806, -0.28962611711022923, 0.02648822771911712, -0.1862021609996185, -0.11633396294562331, -0.08773075767231654, -0.024299751938268634, -0.005195077116780492, -0.2808596221180575, 0.1092327513310101, 0.08811187401474656, 0.092881816925238, -0.09475151155366683, -0.0898155735846123, -0.09897788891840657, 0.04549758333618093, 0.10622079542010837, 0.0898911166424221, 0.08249323630288984, -0.15035137510858476, -0.06169214646580704, 0.3463164176097753, -0.0947146572798826, -0.16562885571248043, 0.20387912796150823, -0.15321862218635424, -0.042698699189386166, 0.11217173548004596, 0.0733557623573897, 0.026226386641909988, -0.09467554295347694, 0.15822881127213076, -0.02642911360223101, 0.16830947353997736, -0.008675324933036514, 0.06595231388562312, 0.2779672618504174, 0.16657100721863996, 0.08411960252878829, 0.1339229588723678, -0.10232991817615555, -0.1234096136690343, -0.2878745868107917, -0.140921252953201, -0.25828664953479114, 0.021495203831849868, -0.07604276778639919, -0.18381973900051313, 0.35915818233447877, 0.17127610019535427, 0.190481585248009, -0.04696812419081974, 0.23335226099961293, 0.09848701005573067, 0.09821406750714187, 0.04960190622795443, 0.2960428981463315, 0.15811472000143498, 0.10524748997785938, -0.322993146488443, 0.01396952746493846, 0.07885772093366947] |
1,802.09525 | Associating Fast Radio Bursts with Extragalactic Radio Sources: General
Methodology and a Search for a Counterpart to FRB 170107 | The discovery of a repeating fast radio burst has led to the first precise
localization, an association with a dwarf galaxy, and the identification of a
coincident persistent radio source. However, further localizations are required
to determine the nature of FRBs, the sources powering them, and the possibility
of multiple populations. Here we investigate the use of associated persistent
radio sources to establish FRB counterparts, taking into account the
localization area and the persistent source flux density. Due to the lower
areal number density of radio sources compared to faint optical sources, robust
associations can be achieved for less precise localizations as compared to
direct optical host galaxy associations. For generally larger localizations
which preclude robust associations, the number of candidate hosts can be
reduced based on the ratio of radio-to-optical brightness. We find that
confident associations with $\sim 0.01-$1 mJy sources, comparable to the
luminosity of the persistent source associated with FRB 121102 over the
redshift range $z \approx 0.1 - 1$, require FRB localizations of $\lesssim
20''$. In the absence of a robust association, constraints can be placed on the
luminosity of an associated radio source as a function of localization and DM.
For DM $\approx 1000 \rm \ pc \ cm^{-3}$, an upper limit comparable to the
luminosity of the FRB 121102 persistent source can be placed if the
localization is $\lesssim 10''$. We apply our analysis to the case of the ASKAP
FRB 170107, using optical and radio observations of the localization region. We
identify two candidate hosts based on a ratio of radio-to-optical brightness of
$\gtrsim 100$. We find that if one of these is associated with FRB 170107, the
resulting radio luminosity ($1 \times 10^{29} - 4 \times 10^{30} \ \rm erg \
s^{-1} \ Hz^{-1}$) is comparable to the luminosity of the FRB 121102 persistent
source.
| astro-ph.HE | the discovery of a repeating fast radio burst has led to the first precise localization an association with a dwarf galaxy and the identification of a coincident persistent radio source however further localizations are required to determine the nature of frbs the sources powering them and the possibility of multiple populations here we investigate the use of associated persistent radio sources to establish frb counterparts taking into account the localization area and the persistent source flux density due to the lower areal number density of radio sources compared to faint optical sources robust associations can be achieved for less precise localizations as compared to direct optical host galaxy associations for generally larger localizations which preclude robust associations the number of candidate hosts can be reduced based on the ratio of radiotooptical brightness we find that confident associations with sim 0011 mjy sources comparable to the luminosity of the persistent source associated with frb 121102 over the redshift range z approx 01 1 require frb localizations of lesssim 20 in the absence of a robust association constraints can be placed on the luminosity of an associated radio source as a function of localization and dm for dm approx 1000 rm pc cm3 an upper limit comparable to the luminosity of the frb 121102 persistent source can be placed if the localization is lesssim 10 we apply our analysis to the case of the askap frb 170107 using optical and radio observations of the localization region we identify two candidate hosts based on a ratio of radiotooptical brightness of gtrsim 100 we find that if one of these is associated with frb 170107 the resulting radio luminosity 1 times 1029 4 times 1030 rm erg s1 hz1 is comparable to the luminosity of the frb 121102 persistent source | [['the', 'discovery', 'of', 'a', 'repeating', 'fast', 'radio', 'burst', 'has', 'led', 'to', 'the', 'first', 'precise', 'localization', 'an', 'association', 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1,802.09526 | About 30% of Sun-like Stars Have Kepler-like Planetary Systems: A Study
of their Intrinsic Architecture | We constrain the intrinsic architecture of Kepler planetary systems by
modeling the observed multiplicities of the transiting planets (tranets) and
their transit timing variations (TTVs). We robustly determine that the fraction
of Sun-like stars with Kepler-like planets, $\eta_{\rm Kepler}$, is $30\pm3\%$.
Here Kepler-like planets are planets that have radii $R_{\rm p} \gtrsim
R_\oplus$ and orbital periods $P<400$~days. Our result thus significantly
revises previous claims that more than 50\% of Sun-like stars have such
planets. Combining with the average number of Kepler planets per star
($\sim0.9$), we obtain that on average each planetary system has $3.0\pm0.3$
planets within 400 days. We also find that the dispersion in orbital
inclinations of planets within a given planetary system, $\sigma_{i,k}$, is a
steep function of its number of planets, $k$. This can be parameterized as
$\sigma_{i,k}\propto k^\alpha$ and we find that $-4<\alpha<-2$ at 2-$\sigma$
level. Such a distribution well describes the observed multiplicities of both
tranets and TTVs with no excess of single tranets. Therefore we do not find
evidence supporting the so-called "Kepler dichotomy." Together with a previous
study on orbital eccentricities, we now have a consistent picture: the fewer
planets in a system, the hotter it is dynamically. We discuss briefly possible
scenarios that lead to such a trend. Despite our Solar system not belonging to
the Kepler club, it is interesting to notice that the Solar system also has
three planets within 400 days and that the inclination dispersion is similar to
Kepler systems of the same multiplicity.
| astro-ph.EP | we constrain the intrinsic architecture of kepler planetary systems by modeling the observed multiplicities of the transiting planets tranets and their transit timing variations ttvs we robustly determine that the fraction of sunlike stars with keplerlike planets eta_rm kepler is 30pm3 here keplerlike planets are planets that have radii r_rm p gtrsim r_oplus and orbital periods p400days our result thus significantly revises previous claims that more than 50 of sunlike stars have such planets combining with the average number of kepler planets per star sim09 we obtain that on average each planetary system has 30pm03 planets within 400 days we also find that the dispersion in orbital inclinations of planets within a given planetary system sigma_ik is a steep function of its number of planets k this can be parameterized as sigma_ikpropto kalpha and we find that 4alpha2 at 2sigma level such a distribution well describes the observed multiplicities of both tranets and ttvs with no excess of single tranets therefore we do not find evidence supporting the socalled kepler dichotomy together with a previous study on orbital eccentricities we now have a consistent picture the fewer planets in a system the hotter it is dynamically we discuss briefly possible scenarios that lead to such a trend despite our solar system not belonging to the kepler club it is interesting to notice that the solar system also has three planets within 400 days and that the inclination dispersion is similar to kepler systems of the same multiplicity | [['we', 'constrain', 'the', 'intrinsic', 'architecture', 'of', 'kepler', 'planetary', 'systems', 'by', 'modeling', 'the', 'observed', 'multiplicities', 'of', 'the', 'transiting', 'planets', 'tranets', 'and', 'their', 'transit', 'timing', 'variations', 'ttvs', 'we', 'robustly', 'determine', 'that', 'the', 'fraction', 'of', 'sunlike', 'stars', 'with', 'keplerlike', 'planets', 'eta_rm', 'kepler', 'is', '30pm3', 'here', 'keplerlike', 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1,802.09527 | Quantum simulation of zero temperature quantum phases and incompressible
states of light via non-Markovian reservoir engineering techniques | We review recent theoretical developments on the stabilization of strongly
correlated quantum fluids of light in driven-dissipative photonic devices
through novel non-Markovian reservoir engineering techniques. This approach
allows to compensate losses and refill selectively the photonic population so
to sustain a desired steady-state. It relies in particular on the use of a
frequency-dependent incoherent pump which can be implemented, e.g., via
embedded two-level systems maintained at a strong inversion of population. As
specific applications of these methods, we discuss the generation of Mott
Insulator (MI) and Fractional Quantum Hall (FQH) states of light. As a first
step, we present the case of a narrowband emission spectrum and show how this
allows for the stabilization of MI and FQH states under the condition that the
photonic states are relatively flat in energy. As soon as the photonic
bandbwidth becomes comparable to the emission linewidth, important
non-equilibrium signatures and entropy generation appear. As a second step, we
review a more advanced configuration based on reservoirs with a broadband
frequency distribution, and we highlight the potential of this configuration
for the quantum simulation of equilibrium quantum phases at zero temperature
with tunable chemical potential. As a proof of principle we establish the
applicability of our scheme to the Bose-Hubbard model by confirming the
presence of a perfect agreement with the ground-state predictions both in the
Mott Insulating and superfluid regions, and more generally in all parts of the
parameter space. Future prospects towards the quantum simulation of more
complex configurations are finally outlined, along with a discussion of our
scheme as a concrete realization of quantum annealing.
| cond-mat.quant-gas quant-ph | we review recent theoretical developments on the stabilization of strongly correlated quantum fluids of light in drivendissipative photonic devices through novel nonmarkovian reservoir engineering techniques this approach allows to compensate losses and refill selectively the photonic population so to sustain a desired steadystate it relies in particular on the use of a frequencydependent incoherent pump which can be implemented eg via embedded twolevel systems maintained at a strong inversion of population as specific applications of these methods we discuss the generation of mott insulator mi and fractional quantum hall fqh states of light as a first step we present the case of a narrowband emission spectrum and show how this allows for the stabilization of mi and fqh states under the condition that the photonic states are relatively flat in energy as soon as the photonic bandbwidth becomes comparable to the emission linewidth important nonequilibrium signatures and entropy generation appear as a second step we review a more advanced configuration based on reservoirs with a broadband frequency distribution and we highlight the potential of this configuration for the quantum simulation of equilibrium quantum phases at zero temperature with tunable chemical potential as a proof of principle we establish the applicability of our scheme to the bosehubbard model by confirming the presence of a perfect agreement with the groundstate predictions both in the mott insulating and superfluid regions and more generally in all parts of the parameter space future prospects towards the quantum simulation of more complex configurations are finally outlined along with a discussion of our scheme as a concrete realization of quantum annealing | [['we', 'review', 'recent', 'theoretical', 'developments', 'on', 'the', 'stabilization', 'of', 'strongly', 'correlated', 'quantum', 'fluids', 'of', 'light', 'in', 'drivendissipative', 'photonic', 'devices', 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1,802.09528 | The Monte Carlo photoionization and moving-mesh radiation hydrodynamics
code CMacIonize | We present the public Monte Carlo photoionization and moving-mesh radiation
hydrodynamics code CMacIonize, which can be used to simulate the
self-consistent evolution of HII regions surrounding young O and B stars, or
other sources of ionizing radiation. The code combines a Monte Carlo
photoionization algorithm that uses a complex mix of hydrogen, helium and
several coolants in order to self-consistently solve for the ionization and
temperature balance at any given type, with a standard first order
hydrodynamics scheme. The code can be run as a post-processing tool to get the
line emission from an existing simulation snapshot, but can also be used to run
full radiation hydrodynamical simulations. Both the radiation transfer and the
hydrodynamics are implemented in a general way that is independent of the grid
structure that is used to discretize the system, allowing it to be run both as
a standard fixed grid code, but also as a moving-mesh code.
| astro-ph.IM | we present the public monte carlo photoionization and movingmesh radiation hydrodynamics code cmacionize which can be used to simulate the selfconsistent evolution of hii regions surrounding young o and b stars or other sources of ionizing radiation the code combines a monte carlo photoionization algorithm that uses a complex mix of hydrogen helium and several coolants in order to selfconsistently solve for the ionization and temperature balance at any given type with a standard first order hydrodynamics scheme the code can be run as a postprocessing tool to get the line emission from an existing simulation snapshot but can also be used to run full radiation hydrodynamical simulations both the radiation transfer and the hydrodynamics are implemented in a general way that is independent of the grid structure that is used to discretize the system allowing it to be run both as a standard fixed grid code but also as a movingmesh code | [['we', 'present', 'the', 'public', 'monte', 'carlo', 'photoionization', 'and', 'movingmesh', 'radiation', 'hydrodynamics', 'code', 'cmacionize', 'which', 'can', 'be', 'used', 'to', 'simulate', 'the', 'selfconsistent', 'evolution', 'of', 'hii', 'regions', 'surrounding', 'young', 'o', 'and', 'b', 'stars', 'or', 'other', 'sources', 'of', 'ionizing', 'radiation', 'the', 'code', 'combines', 'a', 'monte', 'carlo', 'photoionization', 'algorithm', 'that', 'uses', 'a', 'complex', 'mix', 'of', 'hydrogen', 'helium', 'and', 'several', 'coolants', 'in', 'order', 'to', 'selfconsistently', 'solve', 'for', 'the', 'ionization', 'and', 'temperature', 'balance', 'at', 'any', 'given', 'type', 'with', 'a', 'standard', 'first', 'order', 'hydrodynamics', 'scheme', 'the', 'code', 'can', 'be', 'run', 'as', 'a', 'postprocessing', 'tool', 'to', 'get', 'the', 'line', 'emission', 'from', 'an', 'existing', 'simulation', 'snapshot', 'but', 'can', 'also', 'be', 'used', 'to', 'run', 'full', 'radiation', 'hydrodynamical', 'simulations', 'both', 'the', 'radiation', 'transfer', 'and', 'the', 'hydrodynamics', 'are', 'implemented', 'in', 'a', 'general', 'way', 'that', 'is', 'independent', 'of', 'the', 'grid', 'structure', 'that', 'is', 'used', 'to', 'discretize', 'the', 'system', 'allowing', 'it', 'to', 'be', 'run', 'both', 'as', 'a', 'standard', 'fixed', 'grid', 'code', 'but', 'also', 'as', 'a', 'movingmesh', 'code']] | [0.0003059391915724662, 0.06667258868104622, -0.10655499792253402, 0.10003269327295895, -0.05522203170479961, -0.14394120697704094, -0.00789802293691441, 0.4115716403497285, -0.2624394984572734, -0.3664176457463519, 0.07152632233766398, -0.2552108960746984, 0.005177730277768876, 0.20740645862487758, 0.03590813301822269, 0.02199642817906447, 0.1052859996194265, -0.09597117233083975, -0.046197848818241925, -0.24651944802577705, 0.2924643151008671, 0.16583981953781882, 0.16149111929055499, -0.00498833495657891, 0.06271230331530157, -0.07667447303844567, -0.06705135371732085, 0.038116633892059326, -0.1207095212095833, 0.02458471206390593, 0.22805009546420096, 0.15628488517038358, 0.2099534642505827, -0.4527777007254037, -0.2757505632716378, 0.068828916928109, 0.18929104843654818, 0.1816175897432626, -0.08002506961163722, -0.19154467181713125, 0.051059184644959475, -0.24601710468873775, -0.1106241392461877, -0.03384426131378859, -0.052098128832815414, 0.03718093833977994, -0.3254217598361337, -0.005199065615383198, -0.025771401789633705, 0.020670729294675096, -0.009886513935941222, -0.058273925634382884, -0.0658161312335563, 0.1314472259584459, -0.06707229459578612, 0.08605985003554165, 0.16077090997484783, -0.08705957867210887, -0.1029173308251254, 0.4413168168087539, -0.08523010868750709, -0.17111647651089648, 0.2393236840051893, -0.11472940917500589, -0.0956350764455764, 0.19271427793060675, 0.19057287336066733, 0.17457909203183494, -0.14912937957629574, 0.04408147907777579, -0.004737692260134377, 0.20654175948431275, -0.012525829051523224, -0.044228047896467615, 0.2091466634669096, 0.1178758296147479, -0.031111360438731743, 0.12077570255994367, -0.14364930625704705, -0.10933579705459506, -0.30281609100118084, -0.16587394283085719, -0.15299759972013385, 0.042115317525090894, -0.08134674230285255, -0.18313217066545467, 0.33054915274497515, 0.21042345788660705, 0.09469439518043625, 0.028345257565409777, 0.3633004715666175, 0.08085786997061835, 0.06552584283743176, 0.15155630483671925, 0.18711896300144298, 0.13390905814135054, 0.10178754823343632, -0.26171116030462527, 0.05928593770582474, 0.07616997697072006] |
1,802.09529 | Identifying Young $Kepler$ Planet Host Stars from Keck-HIRES Spectra of
Lithium | The lithium doublet at 6708 \AA\ provides an age diagnostic for main sequence
FGK dwarfs. We measured the abundance of lithium in 1305 stars with detected
transiting planets from the Kepler Mission using high-resolution spectroscopy.
Our catalog of lithium measurements from this sample have a range of abundance
from A(Li) = 3.11 $\pm$ 0.07 to an upper limit of $-$0.84 dex. For a
magnitude-limited sample that comprises 960 of the 1305 stars, our Keck-HIRES
spectra have a median S/N = 45 per pixel at $\sim$6700 \AA\ with spectral
resolution $\frac{\lambda}{\Delta \lambda}$ = $R$ = 55,000. We identify 80
young stars that have A(Li) values greater than the Hyades at their respective
effective temperatures; these stars are younger than $\sim$650 Myr old, the
approximate age of the Hyades. We then compare the distribution of A(Li) with
planet size, multiplicity, orbital period, and insolation flux. We find larger
planets preferentially in younger systems, with an A-D two-sided test p-value =
0.002, a $>3\sigma$ confidence that the older and younger planet samples do not
come from the same parent distribution. This is consistent with planet
inflation/photoevaporation at early ages. The other planet parameters ($Kepler$
planet multiplicity, orbital period, and insolation flux) are uncorrelated with
age.
| astro-ph.EP astro-ph.SR | the lithium doublet at 6708 aa provides an age diagnostic for main sequence fgk dwarfs we measured the abundance of lithium in 1305 stars with detected transiting planets from the kepler mission using highresolution spectroscopy our catalog of lithium measurements from this sample have a range of abundance from ali 311 pm 007 to an upper limit of 084 dex for a magnitudelimited sample that comprises 960 of the 1305 stars our keckhires spectra have a median sn 45 per pixel at sim6700 aa with spectral resolution fraclambdadelta lambda r 55000 we identify 80 young stars that have ali values greater than the hyades at their respective effective temperatures these stars are younger than sim650 myr old the approximate age of the hyades we then compare the distribution of ali with planet size multiplicity orbital period and insolation flux we find larger planets preferentially in younger systems with an ad twosided test pvalue 0002 a 3sigma confidence that the older and younger planet samples do not come from the same parent distribution this is consistent with planet inflationphotoevaporation at early ages the other planet parameters kepler planet multiplicity orbital period and insolation flux are uncorrelated with age | [['the', 'lithium', 'doublet', 'at', '6708', 'aa', 'provides', 'an', 'age', 'diagnostic', 'for', 'main', 'sequence', 'fgk', 'dwarfs', 'we', 'measured', 'the', 'abundance', 'of', 'lithium', 'in', '1305', 'stars', 'with', 'detected', 'transiting', 'planets', 'from', 'the', 'kepler', 'mission', 'using', 'highresolution', 'spectroscopy', 'our', 'catalog', 'of', 'lithium', 'measurements', 'from', 'this', 'sample', 'have', 'a', 'range', 'of', 'abundance', 'from', 'ali', '311', 'pm', '007', 'to', 'an', 'upper', 'limit', 'of', '084', 'dex', 'for', 'a', 'magnitudelimited', 'sample', 'that', 'comprises', '960', 'of', 'the', '1305', 'stars', 'our', 'keckhires', 'spectra', 'have', 'a', 'median', 'sn', '45', 'per', 'pixel', 'at', 'sim6700', 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1,802.0953 | The frequency of very young galaxies in the local Universe: I. A test
for galaxy formation and cosmological models | In the local Universe, the existence of very young galaxies (VYGs), having
formed at least half their stellar mass in the last 1 Gyr, is debated. We
predict the present-day fraction of VYGs among central galaxies as a function
of galaxy stellar mass. For this, we apply to high mass resolution Monte-Carlo
halo merger trees (MCHMTs) three (one) analytical models of galaxy formation,
where the ratio of stellar to halo mass (mass growth rate) is a function of
halo mass and redshift. Galaxy merging is delayed until orbital decay by
dynamical friction. With starbursts associated with halo mergers, our models
predict typically one percent of VYGs up to galaxy masses of $10^{10}$
M$_\odot$, falling rapidly at higher masses, and VYGs are usually associated
with recent major mergers of their haloes. Without these starbursts, two of the
models have VYG fractions reduced by 1 or 2 dex at low or intermediate stellar
masses, and VYGs are rarely associated with major halo mergers. In comparison,
the state-of-the-art semi-analytical model (SAM) of Henriques et al. produces
only 0.01% of VYGs at intermediate masses. Finally, the Menci et al. SAM run on
MCMHTs with Warm Dark Matter cosmology generates 10 times more VYGs at masses
below $10^8$ M$_\odot$ than when run with Cold Dark Matter. The wide range in
these VYG fractions illustrates the usefulness of VYGs to constrain both galaxy
formation and cosmological models.
| astro-ph.GA astro-ph.CO | in the local universe the existence of very young galaxies vygs having formed at least half their stellar mass in the last 1 gyr is debated we predict the presentday fraction of vygs among central galaxies as a function of galaxy stellar mass for this we apply to high mass resolution montecarlo halo merger trees mchmts three one analytical models of galaxy formation where the ratio of stellar to halo mass mass growth rate is a function of halo mass and redshift galaxy merging is delayed until orbital decay by dynamical friction with starbursts associated with halo mergers our models predict typically one percent of vygs up to galaxy masses of 1010 m_odot falling rapidly at higher masses and vygs are usually associated with recent major mergers of their haloes without these starbursts two of the models have vyg fractions reduced by 1 or 2 dex at low or intermediate stellar masses and vygs are rarely associated with major halo mergers in comparison the stateoftheart semianalytical model sam of henriques et al produces only 001 of vygs at intermediate masses finally the menci et al sam run on mcmhts with warm dark matter cosmology generates 10 times more vygs at masses below 108 m_odot than when run with cold dark matter the wide range in these vyg fractions illustrates the usefulness of vygs to constrain both galaxy formation and cosmological models | [['in', 'the', 'local', 'universe', 'the', 'existence', 'of', 'very', 'young', 'galaxies', 'vygs', 'having', 'formed', 'at', 'least', 'half', 'their', 'stellar', 'mass', 'in', 'the', 'last', '1', 'gyr', 'is', 'debated', 'we', 'predict', 'the', 'presentday', 'fraction', 'of', 'vygs', 'among', 'central', 'galaxies', 'as', 'a', 'function', 'of', 'galaxy', 'stellar', 'mass', 'for', 'this', 'we', 'apply', 'to', 'high', 'mass', 'resolution', 'montecarlo', 'halo', 'merger', 'trees', 'mchmts', 'three', 'one', 'analytical', 'models', 'of', 'galaxy', 'formation', 'where', 'the', 'ratio', 'of', 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1,802.09531 | Phase Space Entanglement Spectrum | We generalize the position- and momentum-space entanglement cuts to a family
of cuts corresponding to regions in the classical phase space. We explicitly
compute the entanglement spectra of free fermionic many-body wavefunctions for
a family of phase space entanglement cuts that continuously interpolates
between position- and momentum-space cuts. For inversion symmetric
wavefunctions, the phase space entanglement spectrum possess a chiral symmetry,
to which a topological index can be associated.
| math-ph cond-mat.stat-mech math.MP quant-ph | we generalize the position and momentumspace entanglement cuts to a family of cuts corresponding to regions in the classical phase space we explicitly compute the entanglement spectra of free fermionic manybody wavefunctions for a family of phase space entanglement cuts that continuously interpolates between position and momentumspace cuts for inversion symmetric wavefunctions the phase space entanglement spectrum possess a chiral symmetry to which a topological index can be associated | [['we', 'generalize', 'the', 'position', 'and', 'momentumspace', 'entanglement', 'cuts', 'to', 'a', 'family', 'of', 'cuts', 'corresponding', 'to', 'regions', 'in', 'the', 'classical', 'phase', 'space', 'we', 'explicitly', 'compute', 'the', 'entanglement', 'spectra', 'of', 'free', 'fermionic', 'manybody', 'wavefunctions', 'for', 'a', 'family', 'of', 'phase', 'space', 'entanglement', 'cuts', 'that', 'continuously', 'interpolates', 'between', 'position', 'and', 'momentumspace', 'cuts', 'for', 'inversion', 'symmetric', 'wavefunctions', 'the', 'phase', 'space', 'entanglement', 'spectrum', 'possess', 'a', 'chiral', 'symmetry', 'to', 'which', 'a', 'topological', 'index', 'can', 'be', 'associated']] | [-0.15054672442214645, 0.2435530104617035, -0.1739543646277077, 0.0966500340272551, -0.07873682496205404, -0.10360873248968003, 0.03998602946302381, 0.39116516023658326, -0.254136522287044, -0.24673182897917603, 0.02735989839108526, -0.2837405782597868, -0.09993776849106602, 0.11914024885365929, -0.012668346878195154, 0.07331123540137449, -0.014704972505569458, 0.0005430428014285322, -0.19271330274574028, -0.15442146883224664, 0.3688313885443453, -0.03367751333322646, 0.2929559067107629, 0.03244777402057704, 0.04308665431765975, 0.05349416605136155, 0.057821178997772324, 0.02042406496289861, -0.1668822806961438, 0.10029948348739604, 0.2598326282265286, 0.05763534632632914, 0.09484226048748562, -0.32728528333962825, -0.20014961260924305, 0.1593735763884109, 0.15080039728216935, 0.14782099210339988, 0.015179131193545418, -0.3337209392338991, -0.041950478420957275, -0.1829836703364508, -0.17899412435034048, -0.16304583512786505, -0.001565508220506751, -0.10206660698505415, -0.24452341636777788, 0.07562288698618827, -0.011074556658665339, 0.00827510830392872, -0.02094642039425536, -0.009606803166747524, -0.13109357722535514, 0.10126429717933787, -0.0413032448783085, 0.006294115068579929, 0.08489597469494017, -0.13735127189885016, -0.14261004447589454, 0.34850839598853467, 0.010128944693808106, -0.21946419838923906, 0.12348764727189057, -0.16519896567299747, -0.11716412763664688, 0.16335567929174588, 0.14746725518742335, 0.10648007495193809, -0.08084319565661144, 0.13083927065937145, -0.015807586168681366, 0.1470390313298212, 0.09047477477756531, 0.13795146614691053, 0.2215406458446945, -0.02699297593663568, 0.12557184383057166, 0.2418858411475557, -0.10408779832389395, -0.16843571786539277, -0.3612099753125854, -0.19117262481671313, -0.2640235881874527, 0.004067402096816163, -0.12121021512776033, -0.19381222911718962, 0.48319098410749994, 0.04641682663645622, 0.22622061359183188, 0.011103876510405562, 0.1867087319277335, 0.12958675261208977, 0.07096802537747915, 0.0637976776106634, 0.19317992576870366, 0.12490018127162171, 0.03683388376932429, -0.26916909385202586, -0.059715091068621565, 0.15105236626729585] |
1,802.09532 | Large velocity dispersion of molecular gas in bars of strongly barred
galaxies, NGC 1300 and NGC 5383 | We carried out $^{12}$CO(J = 1 -0) observations toward bar and arm regions of
strongly barred galaxies, NGC 1300 and NGC 5383, with the Nobeyama 45-m radio
telescope (beamsize of 1-2 kpc in the galaxies). The aim of the observations is
to qualitatively examine a new scenario for the suppression of star formation
in bars based on recent high-resolution numerical simulations: higher speed
collisions between molecular clouds in the bar region compared with the arm
region suppress the massive star formation. CO emissions were detected from all
the regions, indicating the presence of the molecular gases in the strong bars
without associating clear HII regions. In both galaxies, the velocity width of
the CO line profile tends to be larger in the bar region than in the arm
region, which is qualitatively consistent with the new scenario.
| astro-ph.GA | we carried out 12coj 1 0 observations toward bar and arm regions of strongly barred galaxies ngc 1300 and ngc 5383 with the nobeyama 45m radio telescope beamsize of 12 kpc in the galaxies the aim of the observations is to qualitatively examine a new scenario for the suppression of star formation in bars based on recent highresolution numerical simulations higher speed collisions between molecular clouds in the bar region compared with the arm region suppress the massive star formation co emissions were detected from all the regions indicating the presence of the molecular gases in the strong bars without associating clear hii regions in both galaxies the velocity width of the co line profile tends to be larger in the bar region than in the arm region which is qualitatively consistent with the new scenario | [['we', 'carried', 'out', '12coj', '1', '0', 'observations', 'toward', 'bar', 'and', 'arm', 'regions', 'of', 'strongly', 'barred', 'galaxies', 'ngc', '1300', 'and', 'ngc', '5383', 'with', 'the', 'nobeyama', '45m', 'radio', 'telescope', 'beamsize', 'of', '12', 'kpc', 'in', 'the', 'galaxies', 'the', 'aim', 'of', 'the', 'observations', 'is', 'to', 'qualitatively', 'examine', 'a', 'new', 'scenario', 'for', 'the', 'suppression', 'of', 'star', 'formation', 'in', 'bars', 'based', 'on', 'recent', 'highresolution', 'numerical', 'simulations', 'higher', 'speed', 'collisions', 'between', 'molecular', 'clouds', 'in', 'the', 'bar', 'region', 'compared', 'with', 'the', 'arm', 'region', 'suppress', 'the', 'massive', 'star', 'formation', 'co', 'emissions', 'were', 'detected', 'from', 'all', 'the', 'regions', 'indicating', 'the', 'presence', 'of', 'the', 'molecular', 'gases', 'in', 'the', 'strong', 'bars', 'without', 'associating', 'clear', 'hii', 'regions', 'in', 'both', 'galaxies', 'the', 'velocity', 'width', 'of', 'the', 'co', 'line', 'profile', 'tends', 'to', 'be', 'larger', 'in', 'the', 'bar', 'region', 'than', 'in', 'the', 'arm', 'region', 'which', 'is', 'qualitatively', 'consistent', 'with', 'the', 'new', 'scenario']] | [-0.10302925621748299, 0.03301229002638994, -0.023243775077657226, 0.03774918699534336, -0.03304699160199722, -0.05204027477884665, 0.03477340936318368, 0.4299954333109781, -0.13237495733889826, -0.3022895362091196, 0.01859149775683524, -0.2965927505660254, -0.02262043925550054, 0.1497165105127565, 0.026324762975598465, -0.06842499850865673, 0.0354526998468346, -0.12575208447421626, -0.0349482677586767, -0.20387457458384553, 0.28744947275845334, 0.1136768889024525, 0.17783049892921768, -0.020855551277396873, 0.005279549092793947, -0.1799439789063078, -0.07134994390242569, -0.03190442084964803, -0.175269409935401, 0.002311323738788761, 0.22925871300942482, 0.07548839439679046, 0.20800127260222592, -0.4056464859750122, -0.1935263070935274, 0.0439804512733484, 0.24319757525261274, 0.019702187224859644, -0.031385145383811666, -0.3465924367534599, 0.0991008198404469, -0.14899920671493472, -0.20402638751051305, 0.13001138012409416, 0.02513929167402881, 0.02259676270049942, -0.24054896144662052, 0.15653462888782516, -0.033986424999859405, 0.12277543459169786, -0.0868516924606143, -0.1094191479291219, -0.041034145860227425, 0.06497349803976249, -0.018684901807265467, 0.15232718408943208, 0.22880048090455068, -0.1672905611280037, -0.022776333440560848, 0.3758478841799147, -0.06206380206330162, -0.018661193871487153, 0.2692207938183428, -0.28990586260367895, -0.17487288946422802, 0.18189113872016177, 0.1322279009858475, 0.10622324758579078, -0.09076898792922936, -0.01068850360238952, -0.056031280827215486, 0.21243960373377538, 0.06251435255056575, 0.0550140495179221, 0.29488124729708515, 0.09568408227813266, 0.06136218922705773, 0.12677745340881622, -0.299548880325507, -0.1247200047955095, -0.23636487031848552, -0.09503912261125687, -0.0654368713782306, 0.00582526093828218, -0.13499492344849653, -0.025994774358182707, 0.31523001115248706, 0.07584141113329679, 0.27135463950552924, 0.017986595713677268, 0.31566942331162007, 0.018411025945918962, 0.13903750431285622, 0.13158725686576767, 0.3182349564261077, 0.16878372249501647, 0.08309978473013924, -0.28752258387120333, 0.06662048837461043, -0.04009528585490497] |
1,802.09533 | The Sagittarius dwarf galaxy: Where did all the gas go? | The remarkable 1994 discovery of the Sagittarius dwarf galaxy (Sgr) revealed
that, together with the Magellanic Clouds (MCs), there are at least three major
dwarf galaxies, each with a total mass of order 10^10 - 10^11 solar masses,
falling onto the Galaxy in the present epoch. Beyond a Galactic radius of 300
kpc, dwarfs tend to retain their gas. At roughly 50 kpc, the MCs have
experienced substantial gas stripping as evidenced by the Magellanic Stream
which extends from them. Since Sgr experienced star formation long after it
fell into the Galaxy, it is interesting to explore just how and when this dwarf
lost its gas. To date, there has been no definitive detection of an associated
gas component. We revisit recent simulations of the stellar and dark matter
components of Sgr but, for the first time, include gas that is initially bound
to the infalling galaxy. We find that the gas stripping was 30 - 50 % complete
at its first disc crossing ~2.7 Gyr ago, then entirely stripped at its last
disc crossing ~1 Gyr ago. Our timeline is consistent with the last substantial
burst of star formation in Sgr which occurred about the time of the last disc
crossing. We discuss the consequences of gas stripping and conclude that the
vast majority of the stripped gas was fully settled onto the Galaxy by ~300 Myr
ago. It is highly unlikely that any of the high- or intermediate-velocity
clouds have a direct association with the Sgr dwarf.
| astro-ph.GA | the remarkable 1994 discovery of the sagittarius dwarf galaxy sgr revealed that together with the magellanic clouds mcs there are at least three major dwarf galaxies each with a total mass of order 1010 1011 solar masses falling onto the galaxy in the present epoch beyond a galactic radius of 300 kpc dwarfs tend to retain their gas at roughly 50 kpc the mcs have experienced substantial gas stripping as evidenced by the magellanic stream which extends from them since sgr experienced star formation long after it fell into the galaxy it is interesting to explore just how and when this dwarf lost its gas to date there has been no definitive detection of an associated gas component we revisit recent simulations of the stellar and dark matter components of sgr but for the first time include gas that is initially bound to the infalling galaxy we find that the gas stripping was 30 50 complete at its first disc crossing 27 gyr ago then entirely stripped at its last disc crossing 1 gyr ago our timeline is consistent with the last substantial burst of star formation in sgr which occurred about the time of the last disc crossing we discuss the consequences of gas stripping and conclude that the vast majority of the stripped gas was fully settled onto the galaxy by 300 myr ago it is highly unlikely that any of the high or intermediatevelocity clouds have a direct association with the sgr dwarf | [['the', 'remarkable', '1994', 'discovery', 'of', 'the', 'sagittarius', 'dwarf', 'galaxy', 'sgr', 'revealed', 'that', 'together', 'with', 'the', 'magellanic', 'clouds', 'mcs', 'there', 'are', 'at', 'least', 'three', 'major', 'dwarf', 'galaxies', 'each', 'with', 'a', 'total', 'mass', 'of', 'order', '1010', '1011', 'solar', 'masses', 'falling', 'onto', 'the', 'galaxy', 'in', 'the', 'present', 'epoch', 'beyond', 'a', 'galactic', 'radius', 'of', '300', 'kpc', 'dwarfs', 'tend', 'to', 'retain', 'their', 'gas', 'at', 'roughly', '50', 'kpc', 'the', 'mcs', 'have', 'experienced', 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1,802.09534 | Chemical Abundances of Globular Clusters in NGC 5128 (Centaurus A) | We perform a detailed abundance analysis on integrated-light spectra of 20
globular clusters (GCs) in the early-type galaxy NGC 5128 (Centaurus A). The
GCs were observed with X-Shooter on the VLT. The cluster sample spans a
metallicity range of $-1.92 < $ [Fe/H] $< -0.13$ dex. Using theoretical
isochrones we compute synthetic integrated-light spectra and iterate the
individual abundances until the best fit to the observations is obtained. We
measured abundances of Mg, Ca, and Ti, and find a slightly higher enhancement
in NGC 5128 GCs with metallicities [Fe/H] < $-$0.75 dex, of the order of
$\sim$0.1 dex, than in the average values observed in the MW for GCs of the
same metallicity. If this $\alpha$-enhancement in the metal-poor GCs in NGC
5128 is genuine, it could hint at a chemical enrichment history different than
that experienced by the MW. We also measure Na abundances in 9 out of 20 GCs.
We find evidence for intra-cluster abundance variations in 6 of these clusters
where we see enhanced [Na/Fe] > $+$0.25 dex. We obtain the first abundance
measurements of Cr, Mn, and Ni for a sample of the GC population in NGC 5128
and find consistency with the overall trends observed in the MW, with a slight
enhancement ($<$0.1 dex) in the Fe-peak abundances measured in the NGC 5128.
| astro-ph.GA | we perform a detailed abundance analysis on integratedlight spectra of 20 globular clusters gcs in the earlytype galaxy ngc 5128 centaurus a the gcs were observed with xshooter on the vlt the cluster sample spans a metallicity range of 192 feh 013 dex using theoretical isochrones we compute synthetic integratedlight spectra and iterate the individual abundances until the best fit to the observations is obtained we measured abundances of mg ca and ti and find a slightly higher enhancement in ngc 5128 gcs with metallicities feh 075 dex of the order of sim01 dex than in the average values observed in the mw for gcs of the same metallicity if this alphaenhancement in the metalpoor gcs in ngc 5128 is genuine it could hint at a chemical enrichment history different than that experienced by the mw we also measure na abundances in 9 out of 20 gcs we find evidence for intracluster abundance variations in 6 of these clusters where we see enhanced nafe 025 dex we obtain the first abundance measurements of cr mn and ni for a sample of the gc population in ngc 5128 and find consistency with the overall trends observed in the mw with a slight enhancement 01 dex in the fepeak abundances measured in the ngc 5128 | [['we', 'perform', 'a', 'detailed', 'abundance', 'analysis', 'on', 'integratedlight', 'spectra', 'of', '20', 'globular', 'clusters', 'gcs', 'in', 'the', 'earlytype', 'galaxy', 'ngc', '5128', 'centaurus', 'a', 'the', 'gcs', 'were', 'observed', 'with', 'xshooter', 'on', 'the', 'vlt', 'the', 'cluster', 'sample', 'spans', 'a', 'metallicity', 'range', 'of', '192', 'feh', '013', 'dex', 'using', 'theoretical', 'isochrones', 'we', 'compute', 'synthetic', 'integratedlight', 'spectra', 'and', 'iterate', 'the', 'individual', 'abundances', 'until', 'the', 'best', 'fit', 'to', 'the', 'observations', 'is', 'obtained', 'we', 'measured', 'abundances', 'of', 'mg', 'ca', 'and', 'ti', 'and', 'find', 'a', 'slightly', 'higher', 'enhancement', 'in', 'ngc', '5128', 'gcs', 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1,802.09535 | QCD Shear Viscosity at (almost) NLO | We compute the shear viscosity of QCD with matter, including almost all
next-to-leading order corrections -- that is, corrections suppressed by one
power of $g$ relative to leading order. We argue that the still missing terms
are small. The next-to-leading order corrections are large and bring $\eta/s$
down by more than a factor of 3 at physically relevant couplings. The
perturbative expansion is problematic even at $T \simeq 100$ GeV. The largest
next-to-leading order correction to $\eta/s$ arises from modifications to the
qhat parameter, which determines the rate of transverse momentum diffusion. We
also explore quark number diffusion, and shear viscosity in pure-glue QCD and
in QED.
| hep-ph nucl-th | we compute the shear viscosity of qcd with matter including almost all nexttoleading order corrections that is corrections suppressed by one power of g relative to leading order we argue that the still missing terms are small the nexttoleading order corrections are large and bring etas down by more than a factor of 3 at physically relevant couplings the perturbative expansion is problematic even at t simeq 100 gev the largest nexttoleading order correction to etas arises from modifications to the qhat parameter which determines the rate of transverse momentum diffusion we also explore quark number diffusion and shear viscosity in pureglue qcd and in qed | [['we', 'compute', 'the', 'shear', 'viscosity', 'of', 'qcd', 'with', 'matter', 'including', 'almost', 'all', 'nexttoleading', 'order', 'corrections', 'that', 'is', 'corrections', 'suppressed', 'by', 'one', 'power', 'of', 'g', 'relative', 'to', 'leading', 'order', 'we', 'argue', 'that', 'the', 'still', 'missing', 'terms', 'are', 'small', 'the', 'nexttoleading', 'order', 'corrections', 'are', 'large', 'and', 'bring', 'etas', 'down', 'by', 'more', 'than', 'a', 'factor', 'of', '3', 'at', 'physically', 'relevant', 'couplings', 'the', 'perturbative', 'expansion', 'is', 'problematic', 'even', 'at', 't', 'simeq', '100', 'gev', 'the', 'largest', 'nexttoleading', 'order', 'correction', 'to', 'etas', 'arises', 'from', 'modifications', 'to', 'the', 'qhat', 'parameter', 'which', 'determines', 'the', 'rate', 'of', 'transverse', 'momentum', 'diffusion', 'we', 'also', 'explore', 'quark', 'number', 'diffusion', 'and', 'shear', 'viscosity', 'in', 'pureglue', 'qcd', 'and', 'in', 'qed']] | [-0.13957851352323866, 0.23100395290233758, -0.07188842875250387, 0.09048881728579905, -0.05453443431892907, -0.07153406773500566, -0.014188016406787594, 0.2822122064436663, -0.22616136074066162, -0.2950025281346104, 0.029518600590614917, -0.3486592874879826, 0.01215362965287465, 0.1185884667683463, 0.045852112766126836, 0.07861343311227723, -0.0023178959832052294, 0.038340961415636934, -0.08048472622242528, -0.2578892573408941, 0.3174397816424662, 0.06483224412110054, 0.18288969133435837, 0.15579719008561574, 0.049898068820354795, -0.05942394683040889, -0.06039085319125146, 0.02974250401317511, -0.19109970067239493, 0.02629045003702214, 0.23758982649053237, -0.07570814958966847, 0.18446300478810268, -0.34251088277823377, -0.14441527850389974, 0.08764464630446625, 0.12454605013580185, 0.1438805106357355, 0.04764247455187735, -0.16432732126438324, 0.13262479620703435, -0.25981399311490777, -0.12676672032542247, -0.17257408469801172, 0.013423084276991914, -0.08485412254999831, -0.3221551034915841, 0.18369884611154635, -0.01642714166800428, -0.040718598803066, 0.05302025670326262, -0.1542810238282776, -0.03684109690563999, 0.06973068504857849, 0.149917619324834, 0.10964555484857762, 0.16267258737165974, -0.2489296814057765, -0.08408486752173389, 0.4627236335380179, -0.07978013162635693, -0.14541371284219665, 0.11999783670652728, -0.25063413417599395, -0.11415790675541843, 0.2037300039170626, 0.1883082310493403, 0.11812740296316508, -0.12892332904146248, 0.1169775286409345, 0.07579764512472979, 0.18601368593803239, 0.0962984638402836, 0.039340804349675004, 0.16856876260794276, 0.1331739284642884, 0.01514654939572485, 0.0819313026753799, -0.063541706693183, -0.075315946436329, -0.40790381141990983, -0.07362192775175538, -0.12995884789896356, 0.08515255488367435, -0.19527273430702616, -0.12223251877387739, 0.33949061975164235, 0.19693086551994365, 0.24379565204572776, 0.054952608141389164, 0.305693049932707, 0.15148906658825306, 0.10762954566996756, 0.13674011393801644, 0.30896235912827386, 0.16184822519590972, 0.10287945300674523, -0.2804460556066226, 0.02413566547604102, 0.0962856324688303] |
1,802.09536 | Astrophysics with New Horizons: Making the Most of a Generational
Opportunity | The outer solar system provides a unique, quiet vantage point from which to
observe the universe around us, where measurements could enable several niche
astrophysical science cases that are too difficult to perform near Earth.
NASA's New Horizons mission comprises an instrument package that provides
imaging capability from ultraviolet (UV) to near-infrared (near-IR) wavelengths
with moderate spectral resolution located beyond the orbit of Pluto. A
carefully designed survey with New Horizons can optimize the use of expendable
propellant and the limited data telemetry bandwidth to allow several
measurements, including a detailed understanding of the cosmic extragalactic
background light; studies of the local and extragalactic UV background;
measurements of the properties of dust and ice in the outer solar system;
confirmation and characterization of transiting exoplanets; determinations of
the mass of dark objects using gravitational microlensing; and rapid follow-up
of transient events. New Horizons is currently in an extended mission designed
to focus on Kuiper Belt science that will conclude in 2021. The astrophysics
community has a unique, generational opportunity to use this mission for
astronomical observation at heliocentric distances beyond 50 au in the next
decade. In this paper, we discuss the potential science cases for such an
extended mission, and provide an initial assessment of the most important
operational requirements and observation strategies it would require. We
conclude that New Horizons is capable of transformative science, and that it
would make a valuable and unique asset for astrophysical science that is
unlikely to be replicated in the near future.
| astro-ph.IM astro-ph.CO astro-ph.EP astro-ph.GA astro-ph.SR | the outer solar system provides a unique quiet vantage point from which to observe the universe around us where measurements could enable several niche astrophysical science cases that are too difficult to perform near earth nasas new horizons mission comprises an instrument package that provides imaging capability from ultraviolet uv to nearinfrared nearir wavelengths with moderate spectral resolution located beyond the orbit of pluto a carefully designed survey with new horizons can optimize the use of expendable propellant and the limited data telemetry bandwidth to allow several measurements including a detailed understanding of the cosmic extragalactic background light studies of the local and extragalactic uv background measurements of the properties of dust and ice in the outer solar system confirmation and characterization of transiting exoplanets determinations of the mass of dark objects using gravitational microlensing and rapid followup of transient events new horizons is currently in an extended mission designed to focus on kuiper belt science that will conclude in 2021 the astrophysics community has a unique generational opportunity to use this mission for astronomical observation at heliocentric distances beyond 50 au in the next decade in this paper we discuss the potential science cases for such an extended mission and provide an initial assessment of the most important operational requirements and observation strategies it would require we conclude that new horizons is capable of transformative science and that it would make a valuable and unique asset for astrophysical science that is unlikely to be replicated in the near future | [['the', 'outer', 'solar', 'system', 'provides', 'a', 'unique', 'quiet', 'vantage', 'point', 'from', 'which', 'to', 'observe', 'the', 'universe', 'around', 'us', 'where', 'measurements', 'could', 'enable', 'several', 'niche', 'astrophysical', 'science', 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1,802.09537 | Tidal disruption of dwarf spheroidal galaxies: the strange case of
Crater II | Dwarf spheroidal galaxies of the Local Group obey a relationship between the
line-of-sight velocity dispersion and half-light radius, although there are a
number of dwarfs that lie beneath this relation with suppressed velocity
dispersion. The most discrepant of these (in the Milky Way) is the `feeble
giant' Crater II. Using analytic arguments supported by controlled numerical
simulations of tidally-stripped flattened two-component dwarf galaxies, we
investigate interpretations of Crater II within standard galaxy formation
theory. Heavy tidal disruption is necessary to explain the velocity-dispersion
suppression which is plausible if the proper motion of Crater II is
$(\mu_{\alpha*},\mu_\delta)=(-0.21\pm0.09,-0.24\pm0.09)\mathrm{mas\,yr}^{-1}$.
Furthermore, we demonstrate that the velocity dispersion of tidally-disrupted
systems is solely a function of the total mass loss even for weakly-embedded
and flattened systems. The half-light radius evolution depends more sensitively
on orbital phase and the properties of the dark matter profile. The half-light
radius of weakly-embedded cusped systems rapidly decreases producing some
tension with the Crater II observations. This tension is alleviated by cored
dark matter profiles, in which the half-light radius can grow after tidal
disruption. The evolution of flattened galaxies is characterised by two
competing effects: tidal shocking makes the central regions rounder whilst
tidal distortion produces a prolate tidally-locked outer envelope. After
$\sim70$ per cent of the central mass is lost, tidal distortion becomes the
dominant effect and the shape of the central regions of the galaxy tends to a
universal prolate shape irrespective of the initial shape.
| astro-ph.GA | dwarf spheroidal galaxies of the local group obey a relationship between the lineofsight velocity dispersion and halflight radius although there are a number of dwarfs that lie beneath this relation with suppressed velocity dispersion the most discrepant of these in the milky way is the feeble giant crater ii using analytic arguments supported by controlled numerical simulations of tidallystripped flattened twocomponent dwarf galaxies we investigate interpretations of crater ii within standard galaxy formation theory heavy tidal disruption is necessary to explain the velocitydispersion suppression which is plausible if the proper motion of crater ii is mu_alphamu_delta021pm009024pm009mathrmmasyr1 furthermore we demonstrate that the velocity dispersion of tidallydisrupted systems is solely a function of the total mass loss even for weaklyembedded and flattened systems the halflight radius evolution depends more sensitively on orbital phase and the properties of the dark matter profile the halflight radius of weaklyembedded cusped systems rapidly decreases producing some tension with the crater ii observations this tension is alleviated by cored dark matter profiles in which the halflight radius can grow after tidal disruption the evolution of flattened galaxies is characterised by two competing effects tidal shocking makes the central regions rounder whilst tidal distortion produces a prolate tidallylocked outer envelope after sim70 per cent of the central mass is lost tidal distortion becomes the dominant effect and the shape of the central regions of the galaxy tends to a universal prolate shape irrespective of the initial shape | [['dwarf', 'spheroidal', 'galaxies', 'of', 'the', 'local', 'group', 'obey', 'a', 'relationship', 'between', 'the', 'lineofsight', 'velocity', 'dispersion', 'and', 'halflight', 'radius', 'although', 'there', 'are', 'a', 'number', 'of', 'dwarfs', 'that', 'lie', 'beneath', 'this', 'relation', 'with', 'suppressed', 'velocity', 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1,802.09538 | Emergent Multi-flavor QED3 at the Plateau Transition between Fractional
Chern Insulators: Applications to graphene heterostructures | Recent experiments in graphene heterostructures have observed Chern
insulators - integer and fractional Quantum Hall states made possible by a
periodic substrate potential. Here we study theoretically the competition
between different Chern insulators, which can be tuned by the amplitude of the
periodic potential, leads to a new family of quantum critical points described
by QED$_3$-Chern-Simons theory. At these critical points, $N_f$ flavors of
Dirac fermions interact through an emergent U$(1)$ gauge theory at Chern-Simons
level $K$, and remarkably, the entire family (with any $N_f$ or $K$) can be
realized at special values of the external magnetic field. Transitions between
particle-hole conjugate Jain states realize "pure" QED$_3$ in which multiple
flavors of Dirac fermion interact with a Maxwell U$(1)$ gauge field. The
multi-flavor nature of the critical point leads to an emergent SU$(N_f)$
symmetry. Specifically, at the transition from a $\nu=$1/3 to 2/3 quantum Hall
state, the emergent SU(3) symmetry predicts an octet of charge density waves
with enhanced susceptibilities, which is verified by DMRG numerical simulations
on microscopic models applicable to graphene heterostructures. We propose
experiments on Chern insulators that could resolve open questions in the study
of 2+1 dimensional conformal field theories and test recent duality inspired
conjectures.
| cond-mat.str-el cond-mat.mes-hall hep-th | recent experiments in graphene heterostructures have observed chern insulators integer and fractional quantum hall states made possible by a periodic substrate potential here we study theoretically the competition between different chern insulators which can be tuned by the amplitude of the periodic potential leads to a new family of quantum critical points described by qed_3chernsimons theory at these critical points n_f flavors of dirac fermions interact through an emergent u1 gauge theory at chernsimons level k and remarkably the entire family with any n_f or k can be realized at special values of the external magnetic field transitions between particlehole conjugate jain states realize pure qed_3 in which multiple flavors of dirac fermion interact with a maxwell u1 gauge field the multiflavor nature of the critical point leads to an emergent sun_f symmetry specifically at the transition from a nu13 to 23 quantum hall state the emergent su3 symmetry predicts an octet of charge density waves with enhanced susceptibilities which is verified by dmrg numerical simulations on microscopic models applicable to graphene heterostructures we propose experiments on chern insulators that could resolve open questions in the study of 21 dimensional conformal field theories and test recent duality inspired conjectures | [['recent', 'experiments', 'in', 'graphene', 'heterostructures', 'have', 'observed', 'chern', 'insulators', 'integer', 'and', 'fractional', 'quantum', 'hall', 'states', 'made', 'possible', 'by', 'a', 'periodic', 'substrate', 'potential', 'here', 'we', 'study', 'theoretically', 'the', 'competition', 'between', 'different', 'chern', 'insulators', 'which', 'can', 'be', 'tuned', 'by', 'the', 'amplitude', 'of', 'the', 'periodic', 'potential', 'leads', 'to', 'a', 'new', 'family', 'of', 'quantum', 'critical', 'points', 'described', 'by', 'qed_3chernsimons', 'theory', 'at', 'these', 'critical', 'points', 'n_f', 'flavors', 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1,802.09539 | Precision Holography for $\mathcal{N}=2^{*}$ on $S^4$ from type IIB
Supergravity | We find a new supersymmetric solution of type IIB supergravity which is
holographically dual to the planar limit of the four-dimensional
$\mathcal{N}=2^*$ supersymmetric Yang-Mills theory on $S^4$. We study a probe
fundamental string in this background which is dual to a supersymmetric Wilson
loop in the $\mathcal{N}=2^*$ theory. Using holography we calculate the
expectation value of this line operator to leading order in the 't Hooft
coupling. The result is a non-trivial function of the mass parameter of the
$\mathcal{N}=2^*$ theory that precisely matches the result from supersymmetric
localization.
| hep-th | we find a new supersymmetric solution of type iib supergravity which is holographically dual to the planar limit of the fourdimensional mathcaln2 supersymmetric yangmills theory on s4 we study a probe fundamental string in this background which is dual to a supersymmetric wilson loop in the mathcaln2 theory using holography we calculate the expectation value of this line operator to leading order in the t hooft coupling the result is a nontrivial function of the mass parameter of the mathcaln2 theory that precisely matches the result from supersymmetric localization | [['we', 'find', 'a', 'new', 'supersymmetric', 'solution', 'of', 'type', 'iib', 'supergravity', 'which', 'is', 'holographically', 'dual', 'to', 'the', 'planar', 'limit', 'of', 'the', 'fourdimensional', 'mathcaln2', 'supersymmetric', 'yangmills', 'theory', 'on', 's4', 'we', 'study', 'a', 'probe', 'fundamental', 'string', 'in', 'this', 'background', 'which', 'is', 'dual', 'to', 'a', 'supersymmetric', 'wilson', 'loop', 'in', 'the', 'mathcaln2', 'theory', 'using', 'holography', 'we', 'calculate', 'the', 'expectation', 'value', 'of', 'this', 'line', 'operator', 'to', 'leading', 'order', 'in', 'the', 't', 'hooft', 'coupling', 'the', 'result', 'is', 'a', 'nontrivial', 'function', 'of', 'the', 'mass', 'parameter', 'of', 'the', 'mathcaln2', 'theory', 'that', 'precisely', 'matches', 'the', 'result', 'from', 'supersymmetric', 'localization']] | [-0.10031989358072535, 0.14863365613384527, -0.05582636813999394, 0.10591856428563302, -0.06788571181005976, -0.12760768407495338, -0.0038067377734866538, 0.26826055251124703, -0.12507091018010266, -0.24168080778980858, 0.08552827229435567, -0.28533581891254095, -0.19891742966399434, 0.07586156643843384, -0.08277340833453482, 0.06693564169108868, -0.03261387249810642, 0.09558312510652991, -0.14038222749571033, -0.21122073423996401, 0.31594527403175243, -0.013497177909096976, 0.261676971089053, 0.07801189093609874, 0.08305830785774448, -0.0007840810144801488, 0.026387302416868593, 0.02789773895624983, -0.14849916114890424, 0.15727356685916735, 0.2194461591222606, 0.0843222236726433, 0.08062429845416813, -0.3963349841200234, -0.21059651302403948, 0.1059933138456656, 0.17826812957371638, 0.15577337110226744, 0.01505240302381179, -0.24712300376987525, 0.04703772981556949, -0.17860048679959323, -0.1890327615488132, -0.026915700800109948, -0.006375179060975488, -0.16208025336192314, -0.3100593495679747, 0.05173397749097327, -0.046245288292176265, -0.02295158346173134, -0.021011301159356417, 0.016941006613236047, -0.0901318823453039, 0.06414573570828508, 0.14184416112950426, 0.12902063053046364, 0.11305890389812294, -0.23084744540555927, -0.1716828895471153, 0.33939652364659173, -0.10498978948518843, -0.19357957416789584, 0.1216915301099587, -0.18110707247619298, -0.20444921889143547, 0.09126746792532961, 0.08963775551051237, 0.23853213643966495, -0.11771194412885758, 0.2891411018228221, -0.11106127218521211, 0.14494893402698333, 0.09039354817209284, 0.04049752391560861, 0.26759826167999357, 0.1455420054013977, 0.058035429467033765, 0.16914066830336044, -0.012466171481698918, -0.14333282118882942, -0.4566458111806783, -0.14420975672520614, -0.11509820466254199, 0.15855199013826218, -0.185466296751094, -0.23315592113296302, 0.4051491731798716, 0.14946257324073087, 0.1923042377613987, 0.09073638692341243, 0.18695339154493942, 0.1575937389992596, 0.0729067392668195, 0.0030734088491606577, 0.2809366581731298, 0.1963697684656703, 0.10392496420143779, -0.3111223702795092, -0.21518690697325582, 0.3131513243875979] |
1,802.0954 | The hELENa project - II. Abundance distribution trends of early-type
galaxies: from dwarfs to giants | In this second paper of T$h$e role of $E$nvironment in shaping $L$ow-mass
$E$arly-type $N$earby g$a$laxies (hELENa) series we study [Mg/Fe] abundance
distribution trends of early-type galaxies observed with the SAURON integral
field unit, spanning a wide range in mass and local environment densities: 20
low-mass early-types (dEs) of Sybilska et al. (2017) and 258 massive early
types (ETGs) of the $ATLAS^{3D}$ project, all homogeneously reduced and
analyzed. We show that the [Mg/Fe] ratios scale with velocity dispersion
($\sigma$) at fixed [Fe/H] and that they evolve with [Fe/H] along similar paths
for all early-types, grouped in bins of increasing local and global {$\sigma$},
as well as the second velocity moment $V_{rms}$, indicating a common inside-out
formation pattern. We then place our dEs on the [Mg/Fe] $vs.$ [Fe/H] diagram of
Local Group galaxies and show that dEs occupy the same region and show a
similar trend line slope in the diagram as the high-metallicity stars of the
Milky Way and the Large Magellanic Cloud. This finding extends the similar
trend found for dwarf spheroidal $vs.$ dwarf irregular galaxies and supports
the notion that dEs have evolved from late-type galaxies that have lost their
gas at a point of their evolution, which likely coincided with them entering
denser environments.
| astro-ph.GA | in this second paper of the role of environment in shaping lowmass earlytype nearby galaxies helena series we study mgfe abundance distribution trends of earlytype galaxies observed with the sauron integral field unit spanning a wide range in mass and local environment densities 20 lowmass earlytypes des of sybilska et al 2017 and 258 massive early types etgs of the atlas3d project all homogeneously reduced and analyzed we show that the mgfe ratios scale with velocity dispersion sigma at fixed feh and that they evolve with feh along similar paths for all earlytypes grouped in bins of increasing local and global sigma as well as the second velocity moment v_rms indicating a common insideout formation pattern we then place our des on the mgfe vs feh diagram of local group galaxies and show that des occupy the same region and show a similar trend line slope in the diagram as the highmetallicity stars of the milky way and the large magellanic cloud this finding extends the similar trend found for dwarf spheroidal vs dwarf irregular galaxies and supports the notion that des have evolved from latetype galaxies that have lost their gas at a point of their evolution which likely coincided with them entering denser environments | [['in', 'this', 'second', 'paper', 'of', 'the', 'role', 'of', 'environment', 'in', 'shaping', 'lowmass', 'earlytype', 'nearby', 'galaxies', 'helena', 'series', 'we', 'study', 'mgfe', 'abundance', 'distribution', 'trends', 'of', 'earlytype', 'galaxies', 'observed', 'with', 'the', 'sauron', 'integral', 'field', 'unit', 'spanning', 'a', 'wide', 'range', 'in', 'mass', 'and', 'local', 'environment', 'densities', '20', 'lowmass', 'earlytypes', 'des', 'of', 'sybilska', 'et', 'al', '2017', 'and', '258', 'massive', 'early', 'types', 'etgs', 'of', 'the', 'atlas3d', 'project', 'all', 'homogeneously', 'reduced', 'and', 'analyzed', 'we', 'show', 'that', 'the', 'mgfe', 'ratios', 'scale', 'with', 'velocity', 'dispersion', 'sigma', 'at', 'fixed', 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1,802.09541 | The Dark Matter equation of state through cosmic history | Cold Dark Matter (CDM) is a crucial constituent of the current concordance
cosmological model. Having a vanishing equation of state (EoS), its energy
density scales with the inverse cosmic volume and is thus uniquely described by
a single number, its present abundance. We test the inverse cosmic volume law
for Dark Matter (DM) by allowing its EoS to vary independently in eight
redshift bins in the range $z=10^5$ and $z=0$. We use the latest measurements
of the Cosmic Microwave Background radiation from the Planck satellite and
supplement them with Baryon Acoustic Oscillation (BAO) data from the 6dF and
SDSS-III BOSS surveys, and with the Hubble Space Telescope (HST) key project
data. We find no evidence for nonzero EoS in any of the eight redshift bins.
With Planck data alone, the DM abundance is most strongly constrained around
matter-radiation equality $\omega^{\rm eq}_g = 0.1193^{+0.0036}_{-0.0035}$ (95%
c.l.), whereas its present day value is more weakly constrained $\omega^{(0)}_g
= 0.16^{+0.12}_{-0.10}$ (95% c.l.). Adding BAO or HST data does not
significantly change the $\omega^{\rm eq}_g$ constraint, while $\omega^{(0)}_g$
tightens to $0.160^{+0.069}_{-0.065} $ (95% c.l.) and $0.124^{+0.081}_{-0.067}$
(95% c.l.) respectively. Our results constrain for the first time the level of
"coldness" required of the DM across various cosmological epochs and show that
the DM abundance is strictly positive at all times.
| astro-ph.CO | cold dark matter cdm is a crucial constituent of the current concordance cosmological model having a vanishing equation of state eos its energy density scales with the inverse cosmic volume and is thus uniquely described by a single number its present abundance we test the inverse cosmic volume law for dark matter dm by allowing its eos to vary independently in eight redshift bins in the range z105 and z0 we use the latest measurements of the cosmic microwave background radiation from the planck satellite and supplement them with baryon acoustic oscillation bao data from the 6df and sdssiii boss surveys and with the hubble space telescope hst key project data we find no evidence for nonzero eos in any of the eight redshift bins with planck data alone the dm abundance is most strongly constrained around matterradiation equality omegarm eq_g 0119300036_00035 95 cl whereas its present day value is more weakly constrained omega0_g 016012_010 95 cl adding bao or hst data does not significantly change the omegarm eq_g constraint while omega0_g tightens to 01600069_0065 95 cl and 01240081_0067 95 cl respectively our results constrain for the first time the level of coldness required of the dm across various cosmological epochs and show that the dm abundance is strictly positive at all times | [['cold', 'dark', 'matter', 'cdm', 'is', 'a', 'crucial', 'constituent', 'of', 'the', 'current', 'concordance', 'cosmological', 'model', 'having', 'a', 'vanishing', 'equation', 'of', 'state', 'eos', 'its', 'energy', 'density', 'scales', 'with', 'the', 'inverse', 'cosmic', 'volume', 'and', 'is', 'thus', 'uniquely', 'described', 'by', 'a', 'single', 'number', 'its', 'present', 'abundance', 'we', 'test', 'the', 'inverse', 'cosmic', 'volume', 'law', 'for', 'dark', 'matter', 'dm', 'by', 'allowing', 'its', 'eos', 'to', 'vary', 'independently', 'in', 'eight', 'redshift', 'bins', 'in', 'the', 'range', 'z105', 'and', 'z0', 'we', 'use', 'the', 'latest', 'measurements', 'of', 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1,802.09542 | Non-ergodic delocalized states for efficient population transfer within
a narrow band of the energy landscape | We analyze the role of coherent tunneling that gives rise to bands of
delocalized quantum states providing a coherent pathway for population transfer
(PT) between computational states with similar energies. Given an energy
function ${\cal E}(z)$ of a binary optimization problem and a bit-string $z_i$
with atypically low energy, our goal is to find other bit-strings with energies
within a narrow window around ${\cal E}(z_i)$. We study PT due to quantum
evolution under a transverse field $B_\perp$ of an n-qubit system that encodes
${\cal E}(z)$. We focus on a simple yet nontrivial model: $M$ randomly chosen
"marked" bit-strings ($2^n \gg M$) are assigned energies in the interval ${\cal
E}(z)\in[-n -W/2, n + W/2]$ with $W << B_\perp$, while the rest of the states
are assigned energy $0$. The PT starts at a marked state $z_i$ and ends up in a
superposition of $\sim \Omega$ marked states inside the PT window. The scaling
of a typical runtime for PT with $n$ and $\Omega$ is the same as in the
multi-target Grover's algorithm, except for a factor that is equal to $\exp(n
\,B_{\perp}^{-2}/2)$ for $n \gg B_{\perp}^{2} \gg 1$. Unlike the Hamiltonians
used in analog quantum search algorithms, the model we consider is
non-integrable, and the transverse field delocalizes the marked states. PT
protocol is not sensitive to the value of B and may be initialized at a marked
state. We develop microscopic theory of PT. Under certain conditions, the band
of the system eigenstates splits into mini-bands of non-ergodic delocalized
states, whose width obeys a heavy-tailed distribution directly related to that
of PT runtimes. We find analytical form of this distribution by solving
nonlinear cavity equations for the random matrix ensemble. We argue that our
approach can be applied to study the PT protocol in other transverse field spin
glass models, with a potential quantum advantage over classical algorithms.
| quant-ph cond-mat.dis-nn cond-mat.stat-mech | we analyze the role of coherent tunneling that gives rise to bands of delocalized quantum states providing a coherent pathway for population transfer pt between computational states with similar energies given an energy function cal ez of a binary optimization problem and a bitstring z_i with atypically low energy our goal is to find other bitstrings with energies within a narrow window around cal ez_i we study pt due to quantum evolution under a transverse field b_perp of an nqubit system that encodes cal ez we focus on a simple yet nontrivial model m randomly chosen marked bitstrings 2n gg m are assigned energies in the interval cal ezinn w2 n w2 with w b_perp while the rest of the states are assigned energy 0 the pt starts at a marked state z_i and ends up in a superposition of sim omega marked states inside the pt window the scaling of a typical runtime for pt with n and omega is the same as in the multitarget grovers algorithm except for a factor that is equal to expn b_perp22 for n gg b_perp2 gg 1 unlike the hamiltonians used in analog quantum search algorithms the model we consider is nonintegrable and the transverse field delocalizes the marked states pt protocol is not sensitive to the value of b and may be initialized at a marked state we develop microscopic theory of pt under certain conditions the band of the system eigenstates splits into minibands of nonergodic delocalized states whose width obeys a heavytailed distribution directly related to that of pt runtimes we find analytical form of this distribution by solving nonlinear cavity equations for the random matrix ensemble we argue that our approach can be applied to study the pt protocol in other transverse field spin glass models with a potential quantum advantage over classical algorithms | [['we', 'analyze', 'the', 'role', 'of', 'coherent', 'tunneling', 'that', 'gives', 'rise', 'to', 'bands', 'of', 'delocalized', 'quantum', 'states', 'providing', 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1,802.09543 | Theory of thermionic emission from a two-dimensional conductor and its
application to a graphene-semiconductor Schottky junction | The standard theory of thermionic emission developed for three-dimensional
semiconductors does not apply to two-dimensional materials even for making
qualitative predictions because of the vanishing out-of-plane quasiparticle
velocity. This study reveals the fundamental origin of the out-of-plane charge
carrier motion in a two-dimensional conductor due to the finite quasiparticle
lifetime and huge uncertainty of the out-of-plane momentum. The theory is
applied to a Schottky junction between graphene and a bulk semiconductor to
derive a thermionic constant, which, in contrast to the conventional Richardson
constant, is determined by the Schottky barrier height and Fermi level in
graphene.
| cond-mat.mes-hall | the standard theory of thermionic emission developed for threedimensional semiconductors does not apply to twodimensional materials even for making qualitative predictions because of the vanishing outofplane quasiparticle velocity this study reveals the fundamental origin of the outofplane charge carrier motion in a twodimensional conductor due to the finite quasiparticle lifetime and huge uncertainty of the outofplane momentum the theory is applied to a schottky junction between graphene and a bulk semiconductor to derive a thermionic constant which in contrast to the conventional richardson constant is determined by the schottky barrier height and fermi level in graphene | [['the', 'standard', 'theory', 'of', 'thermionic', 'emission', 'developed', 'for', 'threedimensional', 'semiconductors', 'does', 'not', 'apply', 'to', 'twodimensional', 'materials', 'even', 'for', 'making', 'qualitative', 'predictions', 'because', 'of', 'the', 'vanishing', 'outofplane', 'quasiparticle', 'velocity', 'this', 'study', 'reveals', 'the', 'fundamental', 'origin', 'of', 'the', 'outofplane', 'charge', 'carrier', 'motion', 'in', 'a', 'twodimensional', 'conductor', 'due', 'to', 'the', 'finite', 'quasiparticle', 'lifetime', 'and', 'huge', 'uncertainty', 'of', 'the', 'outofplane', 'momentum', 'the', 'theory', 'is', 'applied', 'to', 'a', 'schottky', 'junction', 'between', 'graphene', 'and', 'a', 'bulk', 'semiconductor', 'to', 'derive', 'a', 'thermionic', 'constant', 'which', 'in', 'contrast', 'to', 'the', 'conventional', 'richardson', 'constant', 'is', 'determined', 'by', 'the', 'schottky', 'barrier', 'height', 'and', 'fermi', 'level', 'in', 'graphene']] | [-0.13960038513566056, 0.15714774966666786, -0.03819843049859628, 0.04495953457687089, -0.05749345621249328, -0.1663036520476453, 0.09072382199762312, 0.35422474910349894, -0.28112999670702266, -0.26994027411274146, -0.057433804311585845, -0.2451165998063516, -0.09346216768365896, 0.23216408213920658, -0.03352614437850813, 0.04064284369815141, -0.022634884212796653, -0.0529808113691009, -0.08946797531461925, -0.15535157956279969, 0.2675181816933521, 0.06395010617173587, 0.3657520974908645, 0.14895071520489486, 0.0526883547718171, 0.008343645550970299, 0.06003860341540227, 0.03292297066946048, -0.14183464544961075, 0.11225221997786623, 0.28332566577591933, -0.18069524182161936, 0.2120159259502543, -0.455972987653998, -0.255841325277288, 0.01643527277337853, 0.1336201115627773, 0.16418012525658318, -0.04611624063788137, -0.23769501387141645, 0.09452610714409578, -0.14746297342935577, -0.160400827897926, -0.023489356142817996, 0.011764652823330835, -0.0032382018228721185, -0.20053022455249447, 0.11256455341451026, 0.06363307099794231, 0.048655409016646445, -0.09091647471844529, -0.09374603999640385, -0.07578179145154233, 0.0632411082527445, 0.08655203583475668, 0.03962115800974667, 0.20375288454912757, -0.14326162424610325, -0.09628050689934753, 0.39930561345924315, -0.08298735814120543, -0.15211730797303366, 0.1548364499855476, -0.19645652947656345, 0.014775562100112438, 0.17707460817716006, 0.086517930560755, 0.07018761559447739, -0.1520040209458481, 0.14905578756406612, -0.0024781644945809, 0.15175292465331344, 0.05680441227013944, 0.020398558379383758, 0.2391858471382875, 0.15848993590528457, 0.058222647506530244, 0.07247925309153895, -0.16158200912953666, -0.061303376753736906, -0.23817059868209375, -0.21726024228458604, -0.22381752772101512, 0.12007344525060641, -0.039493532865435554, -0.25765596131289686, 0.41188537910420564, 0.13764544274211707, 0.1800777663787206, -0.014742437360837357, 0.28631374530959874, 0.16056541237048805, 0.08920141990529373, 0.02880888611737949, 0.2485640100761278, 0.21735864670336014, 0.10177462848757084, -0.2899389946930266, 0.04944634944210217, 0.035876833802224915] |
1,802.09544 | Lagrangian formulation, generalizations and quantization of null
Maxwell's knots | Knotted solutions to electromagnetism are investigated as an independent
subsector of the theory. We write down a Lagrangian and a Hamiltonian
formulation of Bateman's construction for the knotted electromagnetic
solutions. We introduce a general definition of the null condition and
generalize the construction of Maxwell's theory to massless free complex
scalar, its dual two form field, and to a massless DBI scalar. We set up the
framework for quantizing the theory both in a path integral approach, as well
as the canonical Dirac method for a constrained system. We make several
observations about the semi-classical quantization of systems of null
configurations.
| hep-th math-ph math.MP physics.optics | knotted solutions to electromagnetism are investigated as an independent subsector of the theory we write down a lagrangian and a hamiltonian formulation of batemans construction for the knotted electromagnetic solutions we introduce a general definition of the null condition and generalize the construction of maxwells theory to massless free complex scalar its dual two form field and to a massless dbi scalar we set up the framework for quantizing the theory both in a path integral approach as well as the canonical dirac method for a constrained system we make several observations about the semiclassical quantization of systems of null configurations | [['knotted', 'solutions', 'to', 'electromagnetism', 'are', 'investigated', 'as', 'an', 'independent', 'subsector', 'of', 'the', 'theory', 'we', 'write', 'down', 'a', 'lagrangian', 'and', 'a', 'hamiltonian', 'formulation', 'of', 'batemans', 'construction', 'for', 'the', 'knotted', 'electromagnetic', 'solutions', 'we', 'introduce', 'a', 'general', 'definition', 'of', 'the', 'null', 'condition', 'and', 'generalize', 'the', 'construction', 'of', 'maxwells', 'theory', 'to', 'massless', 'free', 'complex', 'scalar', 'its', 'dual', 'two', 'form', 'field', 'and', 'to', 'a', 'massless', 'dbi', 'scalar', 'we', 'set', 'up', 'the', 'framework', 'for', 'quantizing', 'the', 'theory', 'both', 'in', 'a', 'path', 'integral', 'approach', 'as', 'well', 'as', 'the', 'canonical', 'dirac', 'method', 'for', 'a', 'constrained', 'system', 'we', 'make', 'several', 'observations', 'about', 'the', 'semiclassical', 'quantization', 'of', 'systems', 'of', 'null', 'configurations']] | [-0.1756449165698694, 0.12201221370369329, -0.09165615279292043, 0.10252888798990314, -0.12865380487303332, -0.14201762404126844, -0.007227690838563191, 0.2979023492016765, -0.2194153456625962, -0.29601353534156144, 0.04169502433753655, -0.25712305038134653, -0.20359849872639274, 0.15173991451427193, -0.024683930865018675, 0.06448746556450732, 0.030135128022365197, 0.08236765906463682, -0.10943279222649809, -0.19634409661699861, 0.31052858239998765, 0.007348813236423648, 0.23431794029328568, 0.017295521681685702, 0.15437255344713235, 0.030837004208974172, 0.02515755947402651, 0.04648040930307148, -0.1267517959920339, 0.13204492848034544, 0.18727091414909255, 0.11122770289857907, 0.2082102280202331, -0.43241764228827884, -0.22872191267768105, 0.04637654570143412, 0.13415627722342563, 0.14689963857532654, 0.005954896791441606, -0.2658337549776724, 0.08247235702511527, -0.16291981168312603, -0.21306706688108643, -0.11988495513427966, -0.043189063399688955, -0.0574916383933903, -0.24771144503893533, 0.01904450519711222, 0.049022742681952176, 0.02322338158172546, -0.12937594668612365, -0.046025102928114854, 0.004314431247513483, 0.048199370023932785, 0.0845653914874143, 0.048291104411162286, 0.09834959022331946, -0.16562406701672047, -0.12260408205611834, 0.3997353775666492, -0.09446704148955753, -0.2982948735301005, 0.12639318317599077, -0.07357227105167832, -0.14573823920183696, 0.10078872395863775, 0.11907859295975454, 0.20641923374911347, -0.18347064219415188, 0.15917563465444629, -0.0640880328114375, 0.05924330330868759, 0.0860395435898537, 0.04341379474067028, 0.23235958222379632, 0.08677536365806614, 0.06398489675715123, 0.14307857999615003, -0.007761900433071769, -0.1735764987752911, -0.40482894646575546, -0.2014737897558313, -0.14033325783687062, 0.132584248355931, -0.09875723193134504, -0.23099163703915507, 0.39687581286341467, 0.13106532290803805, 0.12300931919126375, 0.08429002459160984, 0.25603130090022735, 0.13130165012752162, 0.041723592792370236, 0.05356887229118902, 0.20881174478938083, 0.2150362153297825, 0.09514882694929838, -0.18876209713537062, -0.15941607846537292, 0.13168505819901677] |
1,802.09545 | Entanglement of Purification in Free Scalar Field Theories | We compute the entanglement of purification (EoP) in a 2d free scalar field
theory with various masses. This quantity measures correlations between two
subsystems and is reduced to the entanglement entropy when the total system is
pure. We obtain explicit numerical values by assuming minimal gaussian wave
functionals for the purified states. We find that when the distance between the
subsystems is large, the EoP behaves like the mutual information. However, when
the distance is small, the EoP shows a characteristic behavior which
qualitatively agrees with the conjectured holographic computation and which is
different from that of the mutual information. We also study behaviors of
mutual information in purified spaces and violations of monogamy/strong
superadditivity.
| hep-th cond-mat.str-el quant-ph | we compute the entanglement of purification eop in a 2d free scalar field theory with various masses this quantity measures correlations between two subsystems and is reduced to the entanglement entropy when the total system is pure we obtain explicit numerical values by assuming minimal gaussian wave functionals for the purified states we find that when the distance between the subsystems is large the eop behaves like the mutual information however when the distance is small the eop shows a characteristic behavior which qualitatively agrees with the conjectured holographic computation and which is different from that of the mutual information we also study behaviors of mutual information in purified spaces and violations of monogamystrong superadditivity | [['we', 'compute', 'the', 'entanglement', 'of', 'purification', 'eop', 'in', 'a', '2d', 'free', 'scalar', 'field', 'theory', 'with', 'various', 'masses', 'this', 'quantity', 'measures', 'correlations', 'between', 'two', 'subsystems', 'and', 'is', 'reduced', 'to', 'the', 'entanglement', 'entropy', 'when', 'the', 'total', 'system', 'is', 'pure', 'we', 'obtain', 'explicit', 'numerical', 'values', 'by', 'assuming', 'minimal', 'gaussian', 'wave', 'functionals', 'for', 'the', 'purified', 'states', 'we', 'find', 'that', 'when', 'the', 'distance', 'between', 'the', 'subsystems', 'is', 'large', 'the', 'eop', 'behaves', 'like', 'the', 'mutual', 'information', 'however', 'when', 'the', 'distance', 'is', 'small', 'the', 'eop', 'shows', 'a', 'characteristic', 'behavior', 'which', 'qualitatively', 'agrees', 'with', 'the', 'conjectured', 'holographic', 'computation', 'and', 'which', 'is', 'different', 'from', 'that', 'of', 'the', 'mutual', 'information', 'we', 'also', 'study', 'behaviors', 'of', 'mutual', 'information', 'in', 'purified', 'spaces', 'and', 'violations', 'of', 'monogamystrong', 'superadditivity']] | [-0.1446176243316905, 0.1806760087870715, -0.11190600727946219, 0.10238376588625997, 0.027504794168890567, -0.150733293704035, -0.004681830965350137, 0.3083518346191564, -0.26240236862775, -0.2874672248624592, 0.07722568334480584, -0.33541052475195837, -0.1445276995981929, 0.18882983239988485, -0.05350645809212757, 0.05668650435504867, 0.05384645532620581, 0.098453018730588, -0.13178198641215108, -0.2200059597952324, 0.363848877748017, 0.04891964852025634, 0.31618298403918743, 0.07703733123969614, 0.10127507644427712, 0.03247639540329641, 0.024999367677721016, 0.04927107642747854, -0.17440793528185805, 0.13197852307348512, 0.213991512871233, 0.14389717227191126, 0.21000425984190466, -0.3735318389606842, -0.1876555691440508, 0.1344636000504946, 0.07406809089885077, 0.14101707962496826, 0.021195432722666545, -0.27240459341555834, 0.02599297221259851, -0.16786575970125564, -0.10134959124894649, -0.07648614067747667, 0.04222057936529286, 0.014868234264819572, -0.29480797126317365, 0.11702859327539172, 0.007617549725661152, 0.05748933410321019, -0.028033342629082893, -0.0730582788911354, -0.040756669958538716, 0.1728581800225105, 0.07270552671980113, -0.02322414875737179, 0.12324369954468127, -0.11698515498152885, -0.07905575560851089, 0.3062241807776062, -0.08636343986890688, -0.22605987255902668, 0.19029592852549335, -0.1695205688582766, -0.07520420828491058, 0.062123391491344625, 0.10644115907091059, 0.09316685535381303, -0.13929109361516454, 0.05039880549578045, -0.0358838893292143, 0.1871990043375837, 0.05826459199255496, 0.13708527844497248, 0.17907732548682312, 0.07142766152014303, 0.06732408006332423, 0.19678901380393654, -0.06620761245211358, -0.1553748266259821, -0.3016485497968173, -0.19597174412685267, -0.2345741828658471, 0.04539604899266698, -0.14820516523621718, -0.12381952112998094, 0.3492169142128867, 0.10735381524928175, 0.1791298118166691, 0.0833229437213097, 0.27420830046104494, 0.11028396480782121, 0.0552745464159862, 0.0919292709226475, 0.2700305162692083, 0.15183124443507967, 0.06579158301546909, -0.2589588556704193, 0.07243832460555591, 0.05273655192158593] |
1,802.09546 | Quantum and Classical Phases of the Pyrochlore Heisenberg Model with
Competing Interactions | We investigate the quantum Heisenberg model on the pyrochlore lattice for a
generic spin $S$ in the presence of nearest-neighbor $J_{1}$ and
second-nearest-neighbor $J_{2}$ exchange interactions. By employing the
pseudofermion functional renormalization group method, we find, for $S=1/2$ and
$S=1$, an extended quantum-spin-liquid phase centered around $J_{2}=0$, which
is shown to be robust against the introduction of breathing anisotropy. The
effects of temperature, quantum fluctuations, breathing anisotropies, and a
$J_{2}$ coupling on the nature of the scattering profile, and the pinch points,
in particular, are studied. For the magnetic phases of the $J_{1}$-$J_{2}$
model, quantum fluctuations are shown to renormalize phase boundaries compared
to the classical model and to modify the ordering wave vectors of spiral
magnetic states, while no new magnetic orders are stabilized.
| cond-mat.str-el | we investigate the quantum heisenberg model on the pyrochlore lattice for a generic spin s in the presence of nearestneighbor j_1 and secondnearestneighbor j_2 exchange interactions by employing the pseudofermion functional renormalization group method we find for s12 and s1 an extended quantumspinliquid phase centered around j_20 which is shown to be robust against the introduction of breathing anisotropy the effects of temperature quantum fluctuations breathing anisotropies and a j_2 coupling on the nature of the scattering profile and the pinch points in particular are studied for the magnetic phases of the j_1j_2 model quantum fluctuations are shown to renormalize phase boundaries compared to the classical model and to modify the ordering wave vectors of spiral magnetic states while no new magnetic orders are stabilized | [['we', 'investigate', 'the', 'quantum', 'heisenberg', 'model', 'on', 'the', 'pyrochlore', 'lattice', 'for', 'a', 'generic', 'spin', 's', 'in', 'the', 'presence', 'of', 'nearestneighbor', 'j_1', 'and', 'secondnearestneighbor', 'j_2', 'exchange', 'interactions', 'by', 'employing', 'the', 'pseudofermion', 'functional', 'renormalization', 'group', 'method', 'we', 'find', 'for', 's12', 'and', 's1', 'an', 'extended', 'quantumspinliquid', 'phase', 'centered', 'around', 'j_20', 'which', 'is', 'shown', 'to', 'be', 'robust', 'against', 'the', 'introduction', 'of', 'breathing', 'anisotropy', 'the', 'effects', 'of', 'temperature', 'quantum', 'fluctuations', 'breathing', 'anisotropies', 'and', 'a', 'j_2', 'coupling', 'on', 'the', 'nature', 'of', 'the', 'scattering', 'profile', 'and', 'the', 'pinch', 'points', 'in', 'particular', 'are', 'studied', 'for', 'the', 'magnetic', 'phases', 'of', 'the', 'j_1j_2', 'model', 'quantum', 'fluctuations', 'are', 'shown', 'to', 'renormalize', 'phase', 'boundaries', 'compared', 'to', 'the', 'classical', 'model', 'and', 'to', 'modify', 'the', 'ordering', 'wave', 'vectors', 'of', 'spiral', 'magnetic', 'states', 'while', 'no', 'new', 'magnetic', 'orders', 'are', 'stabilized']] | [-0.2232544820960611, 0.23036079445958604, -0.02666315952176228, 0.07186346104973927, -0.030425710737705232, -0.12392114264937118, 0.029523383615538478, 0.37149945042282345, -0.25941335029620677, -0.22295274636149406, 0.0585711223045364, -0.3400184812694788, -0.11608940444886684, 0.13401587878726423, 0.1183568690828979, -0.019924047023057938, -0.044171700332313775, 0.033566342749865724, -0.10552570092026144, -0.22693223494291306, 0.267675072517246, 0.02710165112944378, 0.2776715359464288, 0.05799967468343675, 0.04513489130884409, 0.06137040895037353, 0.10015340663492679, 0.013821396499872208, -0.18192271666880697, 0.06056094947410747, 0.17675708969682455, -0.11928776083514095, 0.15859920986369253, -0.40665582425892355, -0.21334890699386597, 0.046469875805079934, 0.1368873594114557, 0.16722614049259574, -0.014972680332139134, -0.35566362385451794, 0.027729723127558826, -0.1777977852365002, -0.13962169811502098, -0.15694600299373268, -0.0334129407517612, -0.006385128445923328, -0.2918608447276056, 0.13707615696266293, 0.061257127072662114, 0.10048227217234672, -0.07227587524359115, -0.10627608277276158, -0.07486332754045724, 0.06887396398186683, 0.06999838184099644, 0.08703375366702676, 0.10569542368873953, -0.11064419119432568, -0.1318876306191087, 0.3948026118092239, -0.058428327240049836, -0.1578676927983761, 0.15377468183264137, -0.14736120025638957, -0.0982559702862054, 0.11299734754115343, 0.1250962529433891, 0.06551703556254507, -0.10501139274612069, 0.11610915865143762, 0.03755640197370667, 0.18503399450331925, -0.010457595515996218, 0.02854094157461077, 0.2471065995953977, 0.11958854458294808, 0.06636058739572763, 0.1489459352781996, -0.13430004614219068, -0.1709602268449962, -0.23977216289564968, -0.10814526259806007, -0.2229126572497189, 0.01805158763413783, -0.12192374623508659, -0.19085560483625158, 0.3981441593617201, 0.1898230011430569, 0.16372423605620862, -0.049671221821568905, 0.20592226581647993, 0.06687227718159557, 0.04978229874512181, 0.07301893412135542, 0.27049305475503205, 0.20387775083910673, 0.04378431152738631, -0.30304364593699573, 0.018500870808959007, 0.08112010509520769] |
1,802.09547 | On the Dynamics of Near-Extremal Black Holes | We analyse the dynamics of near-extremal Reissner-Nordstr\"om black holes in
asymptotically four-dimensional Anti-de Sitter space (AdS$_4$). We work in the
spherically symmetric approximation and study the thermodynamics and the
response to a probe scalar field. We find that the behaviour of the system, at
low energies and to leading order in our approximations, is well described by
the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be
understood from symmetry considerations and arises due to the breaking of time
reparametrisation invariance. The JT model has been analysed in considerable
detail recently and related to the behaviour of the SYK model. Our results
indicate that features in these models which arise from symmetry considerations
alone are more general and present quite universally in near-extremal black
holes.
| hep-th gr-qc | we analyse the dynamics of nearextremal reissnernordstrom black holes in asymptotically fourdimensional antide sitter space ads_4 we work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field we find that the behaviour of the system at low energies and to leading order in our approximations is well described by the jackiwteitelboim jt model of gravity in fact this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance the jt model has been analysed in considerable detail recently and related to the behaviour of the syk model our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in nearextremal black holes | [['we', 'analyse', 'the', 'dynamics', 'of', 'nearextremal', 'reissnernordstrom', 'black', 'holes', 'in', 'asymptotically', 'fourdimensional', 'antide', 'sitter', 'space', 'ads_4', 'we', 'work', 'in', 'the', 'spherically', 'symmetric', 'approximation', 'and', 'study', 'the', 'thermodynamics', 'and', 'the', 'response', 'to', 'a', 'probe', 'scalar', 'field', 'we', 'find', 'that', 'the', 'behaviour', 'of', 'the', 'system', 'at', 'low', 'energies', 'and', 'to', 'leading', 'order', 'in', 'our', 'approximations', 'is', 'well', 'described', 'by', 'the', 'jackiwteitelboim', 'jt', 'model', 'of', 'gravity', 'in', 'fact', 'this', 'behaviour', 'can', 'be', 'understood', 'from', 'symmetry', 'considerations', 'and', 'arises', 'due', 'to', 'the', 'breaking', 'of', 'time', 'reparametrisation', 'invariance', 'the', 'jt', 'model', 'has', 'been', 'analysed', 'in', 'considerable', 'detail', 'recently', 'and', 'related', 'to', 'the', 'behaviour', 'of', 'the', 'syk', 'model', 'our', 'results', 'indicate', 'that', 'features', 'in', 'these', 'models', 'which', 'arise', 'from', 'symmetry', 'considerations', 'alone', 'are', 'more', 'general', 'and', 'present', 'quite', 'universally', 'in', 'nearextremal', 'black', 'holes']] | [-0.12391021739467832, 0.12496778005587421, -0.09820613044306753, 0.1313045424680541, -0.03656765481449781, -0.12800939033893266, -0.016943808067516667, 0.3239392338679942, -0.18469059020720832, -0.28540324550268686, 0.09562452125828713, -0.2847063717483653, -0.1921184259855489, 0.1251352913214781, -0.06264231731660488, 0.025565369787999965, -0.04957437648723914, 0.0055789260769365575, -0.08845909517606736, -0.22953221869588955, 0.33295667405592233, 0.09904398295412382, 0.2913217913344737, 0.022826450469896314, 0.05656753260345294, -0.027944957258135783, 0.03849188003718384, 0.052638326175501716, -0.16089239164026853, 0.06757979528377141, 0.23719389683615227, 0.08905271462744146, 0.14393137589346353, -0.4229863424030111, -0.2639344029612546, 0.07778994325872907, 0.1514206564486555, 0.19378809104985228, -0.07637599382540816, -0.28789292617634993, 0.05754664634156415, -0.19680507965825908, -0.17116009739161595, -0.11978623759199492, -0.00537484209144884, -0.07609511155994447, -0.22376021014995814, 0.13254961940665239, 0.09193845979931699, -0.016346579527585055, -0.10762397640047404, -0.024452106024351293, -0.059647181478336336, 0.08339929713236946, 0.1812496318062034, 0.022535858289008653, 0.09825389593010989, -0.12771281762613262, -0.11247378863544592, 0.4122225468846287, -0.06496489803603755, -0.19775209348560788, 0.1897132477464565, -0.242719661118096, -0.1413843964490541, 0.0975552997038531, 0.16956095061609594, 0.19064763710993585, -0.1431835584019817, 0.19360199897655692, 0.00041918284589732727, 0.12501549211745042, 0.06593970950384896, 0.06425439079308619, 0.28586636662600545, 0.1134233298513481, -0.024366323638150073, 0.16931174480719272, 0.0002699136866007264, -0.1685724282769237, -0.3175275955077877, -0.10497645937148335, -0.1515637717143757, 0.08538324390281374, -0.12033608328852634, -0.1324100044526629, 0.3595514515906162, 0.1414268353081301, 0.18271031729898995, 0.030125044195502118, 0.20836480646001176, 0.11048297473508131, 0.03876571357983539, 0.08211584503058432, 0.3262453573374591, 0.10747051386595301, 0.12149185411390064, -0.26218781970793337, -0.04917558409112293, 0.08321477004187548] |
1,802.09548 | Human Perceptions of Fairness in Algorithmic Decision Making: A Case
Study of Criminal Risk Prediction | As algorithms are increasingly used to make important decisions that affect
human lives, ranging from social benefit assignment to predicting risk of
criminal recidivism, concerns have been raised about the fairness of
algorithmic decision making. Most prior works on algorithmic fairness
normatively prescribe how fair decisions ought to be made. In contrast, here,
we descriptively survey users for how they perceive and reason about fairness
in algorithmic decision making.
A key contribution of this work is the framework we propose to understand why
people perceive certain features as fair or unfair to be used in algorithms.
Our framework identifies eight properties of features, such as relevance,
volitionality and reliability, as latent considerations that inform people's
moral judgments about the fairness of feature use in decision-making
algorithms. We validate our framework through a series of scenario-based
surveys with 576 people. We find that, based on a person's assessment of the
eight latent properties of a feature in our exemplar scenario, we can
accurately (> 85%) predict if the person will judge the use of the feature as
fair.
Our findings have important implications. At a high-level, we show that
people's unfairness concerns are multi-dimensional and argue that future
studies need to address unfairness concerns beyond discrimination. At a
low-level, we find considerable disagreements in people's fairness judgments.
We identify root causes of the disagreements, and note possible pathways to
resolve them.
| stat.ML cs.CY cs.LG | as algorithms are increasingly used to make important decisions that affect human lives ranging from social benefit assignment to predicting risk of criminal recidivism concerns have been raised about the fairness of algorithmic decision making most prior works on algorithmic fairness normatively prescribe how fair decisions ought to be made in contrast here we descriptively survey users for how they perceive and reason about fairness in algorithmic decision making a key contribution of this work is the framework we propose to understand why people perceive certain features as fair or unfair to be used in algorithms our framework identifies eight properties of features such as relevance volitionality and reliability as latent considerations that inform peoples moral judgments about the fairness of feature use in decisionmaking algorithms we validate our framework through a series of scenariobased surveys with 576 people we find that based on a persons assessment of the eight latent properties of a feature in our exemplar scenario we can accurately 85 predict if the person will judge the use of the feature as fair our findings have important implications at a highlevel we show that peoples unfairness concerns are multidimensional and argue that future studies need to address unfairness concerns beyond discrimination at a lowlevel we find considerable disagreements in peoples fairness judgments we identify root causes of the disagreements and note possible pathways to resolve them | [['as', 'algorithms', 'are', 'increasingly', 'used', 'to', 'make', 'important', 'decisions', 'that', 'affect', 'human', 'lives', 'ranging', 'from', 'social', 'benefit', 'assignment', 'to', 'predicting', 'risk', 'of', 'criminal', 'recidivism', 'concerns', 'have', 'been', 'raised', 'about', 'the', 'fairness', 'of', 'algorithmic', 'decision', 'making', 'most', 'prior', 'works', 'on', 'algorithmic', 'fairness', 'normatively', 'prescribe', 'how', 'fair', 'decisions', 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1,802.09549 | Hyperbolic Lattices in Circuit Quantum Electrodynamics | After close to two decades of research and development, superconducting
circuits have emerged as a rich platform for both quantum computation and
quantum simulation. Lattices of superconducting coplanar waveguide (CPW)
resonators have been shown to produce artificial materials for microwave
photons, where weak interactions can be introduced either via non-linear
resonator materials or strong interactions via qubit-resonator coupling. Here,
we highlight the previously-overlooked property that these lattice sites are
deformable and allow the realization of tight-binding lattices which are
unattainable, even in conventional solid-state systems. In particular, we show
that networks of CPW resonators can create a new class of materials which
constitute regular lattices in an effective hyperbolic space with constant
negative curvature. We present numerical simulations of a series of hyperbolic
analogs of the kagome lattice which show unusual densities of states with a
spectrally-isolated degenerate flat band. We also present a proof-of-principle
experimental realization of one of these lattices. This paper represents the
first step towards on-chip quantum simulation of materials science and
interacting particles in curved space.
| quant-ph cond-mat.mes-hall | after close to two decades of research and development superconducting circuits have emerged as a rich platform for both quantum computation and quantum simulation lattices of superconducting coplanar waveguide cpw resonators have been shown to produce artificial materials for microwave photons where weak interactions can be introduced either via nonlinear resonator materials or strong interactions via qubitresonator coupling here we highlight the previouslyoverlooked property that these lattice sites are deformable and allow the realization of tightbinding lattices which are unattainable even in conventional solidstate systems in particular we show that networks of cpw resonators can create a new class of materials which constitute regular lattices in an effective hyperbolic space with constant negative curvature we present numerical simulations of a series of hyperbolic analogs of the kagome lattice which show unusual densities of states with a spectrallyisolated degenerate flat band we also present a proofofprinciple experimental realization of one of these lattices this paper represents the first step towards onchip quantum simulation of materials science and interacting particles in curved space | [['after', 'close', 'to', 'two', 'decades', 'of', 'research', 'and', 'development', 'superconducting', 'circuits', 'have', 'emerged', 'as', 'a', 'rich', 'platform', 'for', 'both', 'quantum', 'computation', 'and', 'quantum', 'simulation', 'lattices', 'of', 'superconducting', 'coplanar', 'waveguide', 'cpw', 'resonators', 'have', 'been', 'shown', 'to', 'produce', 'artificial', 'materials', 'for', 'microwave', 'photons', 'where', 'weak', 'interactions', 'can', 'be', 'introduced', 'either', 'via', 'nonlinear', 'resonator', 'materials', 'or', 'strong', 'interactions', 'via', 'qubitresonator', 'coupling', 'here', 'we', 'highlight', 'the', 'previouslyoverlooked', 'property', 'that', 'these', 'lattice', 'sites', 'are', 'deformable', 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1,802.0955 | Inclusive prompt photon production in electron-nucleus scattering at
small x | We compute the differential cross-section for inclusive prompt photon
production in deeply inelastic scattering (DIS) of electrons on nuclei at small
$x$ in the framework of the Color Glass Condensate (CGC) effective theory. The
leading order (LO) computation in this framework resums leading logarithms in
$x$ as well as power corrections to all orders in $Q_{s,A}^2/Q^2$, where
$Q_{s,A}(x)$ is the nuclear saturation scale. This LO result is proportional to
universal dipole and quadrupole Wilson line correlators in the nucleus. In the
soft photon limit, the Low-Burnett-Kroll theorem allows us to recover existing
results on inclusive DIS dijet production. The $k_{\perp}$ and collinearly
factorized expressions for prompt photon production in DIS are also recovered
in a leading twist approximation to our result. In the latter case, our result
corresponds to the dominant next-to-leading order (NLO) perturbative QCD
contribution at small $x$. We next discuss the computation of the NLO
corrections to inclusive prompt photon production in the CGC framework. In
particular, we emphasize the advantages for higher order computations in
inclusive photon production, and for fully inclusive DIS, arising from the
simple momentum space structure of the dressed quark and gluon "shock wave"
propagators in the "wrong" light cone gauge $A^-=0$ for a nucleus moving with
$P^{+}_{N} \rightarrow \infty$.
| hep-ph nucl-ex nucl-th | we compute the differential crosssection for inclusive prompt photon production in deeply inelastic scattering dis of electrons on nuclei at small x in the framework of the color glass condensate cgc effective theory the leading order lo computation in this framework resums leading logarithms in x as well as power corrections to all orders in q_sa2q2 where q_sax is the nuclear saturation scale this lo result is proportional to universal dipole and quadrupole wilson line correlators in the nucleus in the soft photon limit the lowburnettkroll theorem allows us to recover existing results on inclusive dis dijet production the k_perp and collinearly factorized expressions for prompt photon production in dis are also recovered in a leading twist approximation to our result in the latter case our result corresponds to the dominant nexttoleading order nlo perturbative qcd contribution at small x we next discuss the computation of the nlo corrections to inclusive prompt photon production in the cgc framework in particular we emphasize the advantages for higher order computations in inclusive photon production and for fully inclusive dis arising from the simple momentum space structure of the dressed quark and gluon shock wave propagators in the wrong light cone gauge a0 for a nucleus moving with p_n rightarrow infty | [['we', 'compute', 'the', 'differential', 'crosssection', 'for', 'inclusive', 'prompt', 'photon', 'production', 'in', 'deeply', 'inelastic', 'scattering', 'dis', 'of', 'electrons', 'on', 'nuclei', 'at', 'small', 'x', 'in', 'the', 'framework', 'of', 'the', 'color', 'glass', 'condensate', 'cgc', 'effective', 'theory', 'the', 'leading', 'order', 'lo', 'computation', 'in', 'this', 'framework', 'resums', 'leading', 'logarithms', 'in', 'x', 'as', 'well', 'as', 'power', 'corrections', 'to', 'all', 'orders', 'in', 'q_sa2q2', 'where', 'q_sax', 'is', 'the', 'nuclear', 'saturation', 'scale', 'this', 'lo', 'result', 'is', 'proportional', 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1,802.09551 | The Degrees of Freedom of Area Regge Calculus: Dynamics, Non-metricity,
and Broken Diffeomorphisms | Discretization of general relativity is a promising route towards quantum
gravity. Discrete geometries have a finite number of degrees of freedom and can
mimic aspects of quantum geometry. However, selection of the correct discrete
freedoms and description of their dynamics has remained a challenging problem.
We explore classical area Regge calculus, an alternative to standard Regge
calculus where instead of lengths, the areas of a simplicial discretization are
fundamental. There are a number of surprises: though the equations of motion
impose flatness we show that diffeomorphism symmetry is broken for a large
class of area Regge geometries. This is due to degrees of freedom not available
in the length calculus. In particular, an area discretization only imposes that
the areas of glued simplicial faces agrees; their shapes need not be the same.
We enumerate and characterize these non-metric, or `twisted', degrees of
freedom and provide tools for understanding their dynamics. The non-metric
degrees of freedom also lead to fewer invariances of the area Regge action---in
comparison to the length action---under local changes of the triangulation
(Pachner moves). This means that invariance properties can be used to classify
the dynamics of spin foam models. Our results lay a promising foundation for
understanding the dynamics of the non-metric degrees of freedom in loop quantum
gravity and spin foams.
| gr-qc hep-lat hep-th | discretization of general relativity is a promising route towards quantum gravity discrete geometries have a finite number of degrees of freedom and can mimic aspects of quantum geometry however selection of the correct discrete freedoms and description of their dynamics has remained a challenging problem we explore classical area regge calculus an alternative to standard regge calculus where instead of lengths the areas of a simplicial discretization are fundamental there are a number of surprises though the equations of motion impose flatness we show that diffeomorphism symmetry is broken for a large class of area regge geometries this is due to degrees of freedom not available in the length calculus in particular an area discretization only imposes that the areas of glued simplicial faces agrees their shapes need not be the same we enumerate and characterize these nonmetric or twisted degrees of freedom and provide tools for understanding their dynamics the nonmetric degrees of freedom also lead to fewer invariances of the area regge actionin comparison to the length actionunder local changes of the triangulation pachner moves this means that invariance properties can be used to classify the dynamics of spin foam models our results lay a promising foundation for understanding the dynamics of the nonmetric degrees of freedom in loop quantum gravity and spin foams | [['discretization', 'of', 'general', 'relativity', 'is', 'a', 'promising', 'route', 'towards', 'quantum', 'gravity', 'discrete', 'geometries', 'have', 'a', 'finite', 'number', 'of', 'degrees', 'of', 'freedom', 'and', 'can', 'mimic', 'aspects', 'of', 'quantum', 'geometry', 'however', 'selection', 'of', 'the', 'correct', 'discrete', 'freedoms', 'and', 'description', 'of', 'their', 'dynamics', 'has', 'remained', 'a', 'challenging', 'problem', 'we', 'explore', 'classical', 'area', 'regge', 'calculus', 'an', 'alternative', 'to', 'standard', 'regge', 'calculus', 'where', 'instead', 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1,802.09552 | Pion and kaon valence-quark quasiparton distributions | Algebraic Ansaetze for the Poincar\'e-covariant Bethe-Salpeter wave functions
of the pion and kaon are used to calculate their light-front wave functions
(LFWFs), parton distribution amplitudes (PDAs), quasi-PDAs (qPDAs), valence
parton distribution functions (PDFs), and quasi-PDFs (qPDFs). The LFWFs are
broad, concave functions; and the scale of flavour-symmetry violation in the
kaon is roughly 15%, being set by the ratio of emergent masses in the $s$-and
$u$-quark sectors. qPDAs computed with longitudinal momentum $P_z =1.75\,$GeV
provide a semiquantitatively accurate representation of the objective PDA; but
even with $P_z=3\,$GeV, they cannot provide information about this amplitude's
endpoint behaviour. On the valence-quark domain, similar outcomes characterise
qPDFs. In this connection, however, the ratio of kaon-to-pion $u$-quark qPDFs
is found to provide a good approximation to the true PDF ratio on $0.3\lesssim
x \lesssim 0.8$, suggesting that with existing resources computations of ratios
of quasi-parton-distributions can yield results that support empirical
comparison.
| nucl-th hep-lat hep-ph nucl-ex | algebraic ansaetze for the poincarecovariant bethesalpeter wave functions of the pion and kaon are used to calculate their lightfront wave functions lfwfs parton distribution amplitudes pdas quasipdas qpdas valence parton distribution functions pdfs and quasipdfs qpdfs the lfwfs are broad concave functions and the scale of flavoursymmetry violation in the kaon is roughly 15 being set by the ratio of emergent masses in the sand uquark sectors qpdas computed with longitudinal momentum p_z 175gev provide a semiquantitatively accurate representation of the objective pda but even with p_z3gev they cannot provide information about this amplitudes endpoint behaviour on the valencequark domain similar outcomes characterise qpdfs in this connection however the ratio of kaontopion uquark qpdfs is found to provide a good approximation to the true pdf ratio on 03lesssim x lesssim 08 suggesting that with existing resources computations of ratios of quasipartondistributions can yield results that support empirical comparison | [['algebraic', 'ansaetze', 'for', 'the', 'poincarecovariant', 'bethesalpeter', 'wave', 'functions', 'of', 'the', 'pion', 'and', 'kaon', 'are', 'used', 'to', 'calculate', 'their', 'lightfront', 'wave', 'functions', 'lfwfs', 'parton', 'distribution', 'amplitudes', 'pdas', 'quasipdas', 'qpdas', 'valence', 'parton', 'distribution', 'functions', 'pdfs', 'and', 'quasipdfs', 'qpdfs', 'the', 'lfwfs', 'are', 'broad', 'concave', 'functions', 'and', 'the', 'scale', 'of', 'flavoursymmetry', 'violation', 'in', 'the', 'kaon', 'is', 'roughly', '15', 'being', 'set', 'by', 'the', 'ratio', 'of', 'emergent', 'masses', 'in', 'the', 'sand', 'uquark', 'sectors', 'qpdas', 'computed', 'with', 'longitudinal', 'momentum', 'p_z', '175gev', 'provide', 'a', 'semiquantitatively', 'accurate', 'representation', 'of', 'the', 'objective', 'pda', 'but', 'even', 'with', 'p_z3gev', 'they', 'can', 'not', 'provide', 'information', 'about', 'this', 'amplitudes', 'endpoint', 'behaviour', 'on', 'the', 'valencequark', 'domain', 'similar', 'outcomes', 'characterise', 'qpdfs', 'in', 'this', 'connection', 'however', 'the', 'ratio', 'of', 'kaontopion', 'uquark', 'qpdfs', 'is', 'found', 'to', 'provide', 'a', 'good', 'approximation', 'to', 'the', 'true', 'pdf', 'ratio', 'on', '03lesssim', 'x', 'lesssim', '08', 'suggesting', 'that', 'with', 'existing', 'resources', 'computations', 'of', 'ratios', 'of', 'quasipartondistributions', 'can', 'yield', 'results', 'that', 'support', 'empirical', 'comparison']] | [-0.08934174200529689, 0.19527521021859526, -0.14481531582948576, 0.19245501195399703, -0.044249874730171126, -0.07624400296522031, 0.04194647006338814, 0.3863313299427916, -0.15846014952521537, -0.25041063601872393, -0.021330060107613933, -0.30264027162057744, -0.029615750305120137, 0.12022224618968638, 0.039464490748681386, 0.10716627973092759, 0.04797182699593787, -0.035798745872363306, -0.12556907487951766, -0.177068628878756, 0.32421287109463154, 0.024932303452877315, 0.2797099194388472, 0.13538819519881082, 0.03907236476734906, 0.045863900299858096, -0.03936109429109724, -0.05037528323660885, -0.11680038956246726, 0.09673445462737676, 0.26348859142069214, 0.13152936156318112, 0.12771139538462659, -0.36100943148676695, -0.13055399745715768, 0.07046226751697543, 0.1772121804557949, 0.042970794702430704, 0.03479451422133464, -0.24676301997233105, 0.041433671434813704, -0.20179769404922854, -0.17375286327026968, -0.13223179001230878, 0.007414964245879775, 0.0675374843087373, -0.31837242655130427, 0.11187215327404088, -0.06022473558184359, 0.002946057884426384, -0.030154453745189977, -0.25748249472825546, -0.04020768604273875, 0.06927244659917026, 0.08984486931250911, 0.14611720101552905, 0.13314924724855937, -0.16687193548736665, -0.08494626574700216, 0.3903353435794947, -0.019301788582241852, -0.24135758560411372, 0.11933769888433439, -0.2246123406705544, -0.08860230699207608, 0.15359938512653945, 0.18727858470088535, 0.06496285791411162, -0.15921605958349325, 0.05268997891026165, -0.05737428868110487, 0.1945786329981109, 0.09253639122389803, 0.09384494782848792, 0.1907864857816717, 0.10316192133716874, -0.01656821913287773, 0.05788703165277578, -0.0347940257011255, -0.11510244551297096, -0.312348643653225, -0.07906553177258661, -0.15257261603209962, 0.05700288583608784, -0.134449888469828, -0.16130694619321323, 0.36130154313897334, 0.08798058647598292, 0.22509781978239446, 0.1230600121320336, 0.2707434534388301, 0.14805404386262105, 0.09014152234478795, 0.08425650446695256, 0.24172174051351897, 0.15778115937662135, 0.12286211643368006, -0.20435553888066377, 0.0862542386443543, 0.053367019487688176] |
1,802.09553 | How black holes shape globular clusters: Modeling NGC 3201 | Numerical simulations have shown that black holes (BHs) can strongly
influence the evolution and present-day observational properties of globular
clusters (GCs). Using a Monte Carlo code, we construct GC models that match the
Milky Way (MW) cluster NGC 3201, the first cluster in which a stellar-mass BH
was identified through radial-velocity measurements. We predict that NGC 3201
contains $\gtrsim 200$ stellar-mass BHs. Furthermore, we explore the dynamical
formation of main sequence-BH binaries and demonstrate that systems similar to
the observed BH binary in NGC 3201 are produced naturally. Additionally, our
models predict the existence of bright blue-straggler-BH binaries unique to
core-collapsed clusters, which otherwise retain few BHs.
| astro-ph.HE | numerical simulations have shown that black holes bhs can strongly influence the evolution and presentday observational properties of globular clusters gcs using a monte carlo code we construct gc models that match the milky way mw cluster ngc 3201 the first cluster in which a stellarmass bh was identified through radialvelocity measurements we predict that ngc 3201 contains gtrsim 200 stellarmass bhs furthermore we explore the dynamical formation of main sequencebh binaries and demonstrate that systems similar to the observed bh binary in ngc 3201 are produced naturally additionally our models predict the existence of bright bluestragglerbh binaries unique to corecollapsed clusters which otherwise retain few bhs | [['numerical', 'simulations', 'have', 'shown', 'that', 'black', 'holes', 'bhs', 'can', 'strongly', 'influence', 'the', 'evolution', 'and', 'presentday', 'observational', 'properties', 'of', 'globular', 'clusters', 'gcs', 'using', 'a', 'monte', 'carlo', 'code', 'we', 'construct', 'gc', 'models', 'that', 'match', 'the', 'milky', 'way', 'mw', 'cluster', 'ngc', '3201', 'the', 'first', 'cluster', 'in', 'which', 'a', 'stellarmass', 'bh', 'was', 'identified', 'through', 'radialvelocity', 'measurements', 'we', 'predict', 'that', 'ngc', '3201', 'contains', 'gtrsim', '200', 'stellarmass', 'bhs', 'furthermore', 'we', 'explore', 'the', 'dynamical', 'formation', 'of', 'main', 'sequencebh', 'binaries', 'and', 'demonstrate', 'that', 'systems', 'similar', 'to', 'the', 'observed', 'bh', 'binary', 'in', 'ngc', '3201', 'are', 'produced', 'naturally', 'additionally', 'our', 'models', 'predict', 'the', 'existence', 'of', 'bright', 'bluestragglerbh', 'binaries', 'unique', 'to', 'corecollapsed', 'clusters', 'which', 'otherwise', 'retain', 'few', 'bhs']] | [-0.07645129211845675, 0.06205818183620327, -0.1259048818122773, 0.19076021828112147, -0.11532223353694593, -0.04889527586000483, 0.026337102161986488, 0.42927777198852884, -0.13007490729048315, -0.3636610431685334, -0.004158810369249078, -0.32369309528952556, -0.04501792127710013, 0.2474351767450571, -0.0159464078999701, -0.0279625914547415, 0.17855508644133805, -0.08743404616557417, -0.04159706939189207, -0.3374310675831068, 0.2936238466096776, 0.02968257882942756, 0.07380006791901819, -0.14192228734138465, 0.08829599089388336, -0.09936561782267832, 0.022653147786678304, -0.03607724916544699, -0.21821059805169213, 0.006568868508163308, 0.24709841321933448, 0.15815480534608164, 0.2110601568594575, -0.3497853210107202, -0.22053652079332442, 0.06963417060407144, 0.2915949243830428, 0.098119660837221, -0.18031086219652068, -0.2782928119424642, 0.15929129441446138, -0.2726718014727036, -0.1923285749120017, 0.01744125567465311, 0.042502335197336615, 0.06650420045930548, -0.16816292013086023, 0.1948053124671181, 0.014279305244452275, -0.03370127280553182, -0.1680620971623631, -0.06254694701776663, -0.07650655468792787, 0.06934021974891602, 0.008318266227087449, 0.0659243811465179, 0.2127364786120043, -0.03539857874995851, -0.08623524757900408, 0.36584470506225314, -0.010249311364965425, 0.03962866673689513, 0.2675482796061607, -0.2576850025160682, -0.26079571117159156, 0.012349797319620848, 0.17159585250718962, 0.1634362481800573, -0.21750576032680416, 0.0013581833458461221, -0.04940277331597393, 0.282706679077819, 0.04821660008192772, 0.050921511790892555, 0.3935589191193382, 0.08995941949653484, -0.0261862300402884, 0.10469060102865721, -0.18825966409806694, -0.08057840886037974, -0.1416728085882607, -0.058424654589699844, -0.09001976750968467, 0.10311693296922991, -0.18013372819488202, -0.15840369198731857, 0.2849054320404927, 0.13660629492341764, 0.20849351022791648, 0.023733145211424146, 0.24680578903966566, 0.03833260465457681, 0.1130493779999337, 0.16199802794449386, 0.32859110232620015, 0.2103595438989855, 0.0055496779004377975, -0.2943898523991395, 0.07041864721104503, -0.03184614325208324] |
1,802.09554 | Quantum Cosmic No-Hair Theorem and Inflation | We consider implications of the quantum extension of the inflationary no hair
theorem. We show that when the quantum state of inflation is picked to ensure
the validity of the EFT of fluctuations, it takes only ${\cal O}(10)$ efolds of
inflation to erase the effects of the initial distortions on the inflationary
observables. Thus the Bunch-Davies vacuum is a very strong quantum attractor
during inflation. We also consider bouncing universes, where the initial
conditions seem to linger much longer and the quantum `balding' by evolution
appears to be less efficient.
| hep-th astro-ph.CO gr-qc hep-ph | we consider implications of the quantum extension of the inflationary no hair theorem we show that when the quantum state of inflation is picked to ensure the validity of the eft of fluctuations it takes only cal o10 efolds of inflation to erase the effects of the initial distortions on the inflationary observables thus the bunchdavies vacuum is a very strong quantum attractor during inflation we also consider bouncing universes where the initial conditions seem to linger much longer and the quantum balding by evolution appears to be less efficient | [['we', 'consider', 'implications', 'of', 'the', 'quantum', 'extension', 'of', 'the', 'inflationary', 'no', 'hair', 'theorem', 'we', 'show', 'that', 'when', 'the', 'quantum', 'state', 'of', 'inflation', 'is', 'picked', 'to', 'ensure', 'the', 'validity', 'of', 'the', 'eft', 'of', 'fluctuations', 'it', 'takes', 'only', 'cal', 'o10', 'efolds', 'of', 'inflation', 'to', 'erase', 'the', 'effects', 'of', 'the', 'initial', 'distortions', 'on', 'the', 'inflationary', 'observables', 'thus', 'the', 'bunchdavies', 'vacuum', 'is', 'a', 'very', 'strong', 'quantum', 'attractor', 'during', 'inflation', 'we', 'also', 'consider', 'bouncing', 'universes', 'where', 'the', 'initial', 'conditions', 'seem', 'to', 'linger', 'much', 'longer', 'and', 'the', 'quantum', 'balding', 'by', 'evolution', 'appears', 'to', 'be', 'less', 'efficient']] | [-0.1608298107565726, 0.24458506462697902, -0.16199298631504513, 0.15292666169940336, -0.06130287891745651, -0.15171567820996212, -0.02905950429483076, 0.2833334133342913, -0.20752932145940453, -0.24379064169911185, 0.10322945376104686, -0.20656633161510643, -0.08429368184303886, 0.14268663211129187, -0.06025936671930334, 0.04601351962309708, 0.065263914624543, 0.060165700188764694, -0.028183028032595103, -0.30662066361008816, 0.30123797933351293, 0.10262118151223057, 0.22119748270861134, 0.031031420553793734, 0.08687590299046002, -0.06481373712179785, 0.05871927787371901, -0.023355673543397296, -0.18439899122100809, 0.030567299333934702, 0.16308402149608422, 0.1442751867979179, 0.266887444081936, -0.4511576085508372, -0.23676250789188938, 0.19765784934142164, 0.11244323185195079, 0.2124930208109403, 0.0041135919392841416, -0.2927967990353557, 0.09049386153353399, -0.1498875301658291, -0.1219789760600608, -0.07222180278253025, 0.04131773126761565, -0.108948837165208, -0.293288842753999, 0.09506788533514501, 0.033005943827938, -0.031544854686585036, -0.025029073364697816, -0.004762711160387216, -0.035106803112652865, 0.03183658247234122, 0.1053289510335857, 0.00648530036357514, 0.17458052378085054, -0.17060648118344585, -0.058187858358527834, 0.4103626874641756, -0.09441757329289666, -0.12213368698159295, 0.08905201238381226, -0.18116184694462278, -0.1325136815522159, 0.07538897195684441, 0.08694206252484844, 0.10009202427816775, -0.061577219352043716, 0.16323123723098465, 0.08270584169272961, 0.18250318256656775, 0.11134786116942931, 0.07913786507593573, 0.2990231242114573, 0.08302230328017993, 0.08267274112806897, 0.15339054641172584, -0.0063146128282578805, -0.19528170601527595, -0.42334237468711444, -0.09934065245050058, -0.16137009549341844, 0.1225132993997985, -0.13973627413679934, -0.20771723813272677, 0.4032520740816181, 0.2020517458270691, 0.21426242617157737, 0.025330270614391297, 0.2557234378594361, 0.08653945729052753, 0.04659559786989448, 0.06468791831703333, 0.32181192486641114, 0.11375518834082347, 0.13012553072858896, -0.2529104995662922, 0.022917333702567252, 0.009088152880895506] |
1,802.09555 | Involutive categories, colored $\ast$-operads and quantum field theory | Involutive category theory provides a flexible framework to describe
involutive structures on algebraic objects, such as anti-linear involutions on
complex vector spaces. Motivated by the prominent role of involutions in
quantum (field) theory, we develop the involutive analogs of colored operads
and their algebras, named colored $\ast$-operads and $\ast$-algebras. Central
to the definition of colored $\ast$-operads is the involutive monoidal category
of symmetric sequences, which we obtain from a general product-exponential
$2$-adjunction whose right adjoint forms involutive functor categories. For
$\ast$-algebras over $\ast$-operads we obtain involutive analogs of the usual
change of color and operad adjunctions. As an application, we turn the colored
operads for algebraic quantum field theory into colored $\ast$-operads. The
simplest instance is the associative $\ast$-operad, whose $\ast$-algebras are
unital and associative $\ast$-algebras.
| math.CT hep-th math-ph math.MP | involutive category theory provides a flexible framework to describe involutive structures on algebraic objects such as antilinear involutions on complex vector spaces motivated by the prominent role of involutions in quantum field theory we develop the involutive analogs of colored operads and their algebras named colored astoperads and astalgebras central to the definition of colored astoperads is the involutive monoidal category of symmetric sequences which we obtain from a general productexponential 2adjunction whose right adjoint forms involutive functor categories for astalgebras over astoperads we obtain involutive analogs of the usual change of color and operad adjunctions as an application we turn the colored operads for algebraic quantum field theory into colored astoperads the simplest instance is the associative astoperad whose astalgebras are unital and associative astalgebras | [['involutive', 'category', 'theory', 'provides', 'a', 'flexible', 'framework', 'to', 'describe', 'involutive', 'structures', 'on', 'algebraic', 'objects', 'such', 'as', 'antilinear', 'involutions', 'on', 'complex', 'vector', 'spaces', 'motivated', 'by', 'the', 'prominent', 'role', 'of', 'involutions', 'in', 'quantum', 'field', 'theory', 'we', 'develop', 'the', 'involutive', 'analogs', 'of', 'colored', 'operads', 'and', 'their', 'algebras', 'named', 'colored', 'astoperads', 'and', 'astalgebras', 'central', 'to', 'the', 'definition', 'of', 'colored', 'astoperads', 'is', 'the', 'involutive', 'monoidal', 'category', 'of', 'symmetric', 'sequences', 'which', 'we', 'obtain', 'from', 'a', 'general', 'productexponential', '2adjunction', 'whose', 'right', 'adjoint', 'forms', 'involutive', 'functor', 'categories', 'for', 'astalgebras', 'over', 'astoperads', 'we', 'obtain', 'involutive', 'analogs', 'of', 'the', 'usual', 'change', 'of', 'color', 'and', 'operad', 'adjunctions', 'as', 'an', 'application', 'we', 'turn', 'the', 'colored', 'operads', 'for', 'algebraic', 'quantum', 'field', 'theory', 'into', 'colored', 'astoperads', 'the', 'simplest', 'instance', 'is', 'the', 'associative', 'astoperad', 'whose', 'astalgebras', 'are', 'unital', 'and', 'associative', 'astalgebras']] | [-0.16074248896198226, 0.08510792211945367, -0.09292096447109455, 0.138621516888135, -0.16202607858295162, -0.16181010761553602, -0.0731790559976587, 0.3697054766629252, -0.41951170719919667, -0.2073090862512829, 0.05440877142433648, -0.201472795540711, -0.17598310823462182, 0.12515694754303344, -0.21473425891505735, -0.07966281255076249, 0.021008426853035007, 0.15227049625583836, -0.05966915132575518, -0.22015525853531737, 0.4358677440360489, -0.02403373450356265, 0.14447574328345758, -0.040908804310264155, 0.13194373370178283, 0.03841890454021914, -0.04554891481905455, -0.04852862148395469, -0.1450636987931155, 0.13757336354484, 0.3113706099139827, 0.044029835145920515, 0.11972115393314932, -0.3693267696296736, -0.03600001596515217, 0.17384340980600926, 0.13821310892836342, 0.019639728114857608, -0.07353822249476047, -0.3339893102660895, 0.11565726447189527, -0.26897420085245566, -0.08657743267699956, -0.10272220452316105, 0.09628610139630074, -0.020488651919989817, -0.25900719164600294, -0.055176761189115145, 0.15238791635830798, 0.14550204860467103, -0.08140652536624862, -0.10975131272026638, -0.09981205736497237, 0.0820480557684336, -0.117325852681402, 0.007901666021244902, 0.15946284290252916, -0.14882073930705025, -0.18462345557617804, 0.37869251943043164, -0.03668495580824392, -0.22493957680079243, 0.1030936797089394, -0.05175228428655124, -0.17376033898683324, 0.08053639350879577, 0.006250570768550519, 0.14956326583295218, -0.060841086200408394, 0.23966910951252607, -0.14391519801480876, 0.0162800298543692, 0.12618528031781617, 0.10444014836637859, 0.21180692174088872, 0.07544383082929398, 0.017274784172073968, 0.1986371660154433, 0.09630398981408367, -0.14657106028349634, -0.32015009296517216, -0.18900021174622159, 0.002369163454615421, 0.16837032615677022, -0.10145520800001724, -0.2198037912528361, 0.3827630748536678, 0.10486576446090758, 0.12694931975115212, 0.1426692271329117, 0.22479145366871248, 0.040985839469583646, 0.11136907275537059, -0.028623782540483762, 0.07436262116196656, 0.3299250632558288, 0.004851372085414046, -0.06472924426235559, -0.06721080950791797, 0.2503781889024521] |
1,802.09556 | Formal moduli problems and formal derived stacks | This paper presents a survey on formal moduli problems. It starts with an
introduction to pointed formal moduli problems and a sketch of proof of a
Theorem (independently proven by Lurie and Pridham) which gives a precise
mathematical formulation for Drinfeld's derived deformation theory philosophy,
which gives a correspondence between formal moduli problems and differential
graded Lie algebras. The second part deals with Lurie's general theory of
deformation contexts, which we present in a slightly different way than the
original paper, emphasising the (more symmetric) notion of Koszul duality
contexts and morphisms thereof. In the third part, we explain how to apply this
machinery to the case of non-split formal moduli problems under a given derived
affine scheme; this situation has been dealt with recently by Joost Nuiten, and
requires to replace differential graded Lie algebras with differential graded
Lie algebroids. In the last part, we globalize this to the more general setting
of formal thickenings of derived stacks, and suggest an alternative approach to
results of Gaitsgory and Rozenblyum.
| math.AG math.AT | this paper presents a survey on formal moduli problems it starts with an introduction to pointed formal moduli problems and a sketch of proof of a theorem independently proven by lurie and pridham which gives a precise mathematical formulation for drinfelds derived deformation theory philosophy which gives a correspondence between formal moduli problems and differential graded lie algebras the second part deals with luries general theory of deformation contexts which we present in a slightly different way than the original paper emphasising the more symmetric notion of koszul duality contexts and morphisms thereof in the third part we explain how to apply this machinery to the case of nonsplit formal moduli problems under a given derived affine scheme this situation has been dealt with recently by joost nuiten and requires to replace differential graded lie algebras with differential graded lie algebroids in the last part we globalize this to the more general setting of formal thickenings of derived stacks and suggest an alternative approach to results of gaitsgory and rozenblyum | [['this', 'paper', 'presents', 'a', 'survey', 'on', 'formal', 'moduli', 'problems', 'it', 'starts', 'with', 'an', 'introduction', 'to', 'pointed', 'formal', 'moduli', 'problems', 'and', 'a', 'sketch', 'of', 'proof', 'of', 'a', 'theorem', 'independently', 'proven', 'by', 'lurie', 'and', 'pridham', 'which', 'gives', 'a', 'precise', 'mathematical', 'formulation', 'for', 'drinfelds', 'derived', 'deformation', 'theory', 'philosophy', 'which', 'gives', 'a', 'correspondence', 'between', 'formal', 'moduli', 'problems', 'and', 'differential', 'graded', 'lie', 'algebras', 'the', 'second', 'part', 'deals', 'with', 'luries', 'general', 'theory', 'of', 'deformation', 'contexts', 'which', 'we', 'present', 'in', 'a', 'slightly', 'different', 'way', 'than', 'the', 'original', 'paper', 'emphasising', 'the', 'more', 'symmetric', 'notion', 'of', 'koszul', 'duality', 'contexts', 'and', 'morphisms', 'thereof', 'in', 'the', 'third', 'part', 'we', 'explain', 'how', 'to', 'apply', 'this', 'machinery', 'to', 'the', 'case', 'of', 'nonsplit', 'formal', 'moduli', 'problems', 'under', 'a', 'given', 'derived', 'affine', 'scheme', 'this', 'situation', 'has', 'been', 'dealt', 'with', 'recently', 'by', 'joost', 'nuiten', 'and', 'requires', 'to', 'replace', 'differential', 'graded', 'lie', 'algebras', 'with', 'differential', 'graded', 'lie', 'algebroids', 'in', 'the', 'last', 'part', 'we', 'globalize', 'this', 'to', 'the', 'more', 'general', 'setting', 'of', 'formal', 'thickenings', 'of', 'derived', 'stacks', 'and', 'suggest', 'an', 'alternative', 'approach', 'to', 'results', 'of', 'gaitsgory', 'and', 'rozenblyum']] | [-0.12964895616113653, -0.022314808735245606, -0.13790741067246667, 0.07857596383629632, -0.16989472940830247, -0.139023377440892, -0.006982629743149681, 0.314114517881535, -0.3476450139118935, -0.2463388704123818, 0.0864713905823356, -0.17906156721402935, -0.20449323795868882, 0.19861867206747688, -0.23549728107727355, -0.036551105532063435, 0.030088812992852626, 0.03373042060550125, -0.11406937290892183, -0.2799237652964491, 0.4081525240132275, 0.023031256297448028, 0.2530558695663266, 0.022447872603065445, 0.13914763090655297, 0.029608483951527716, -0.07116673113445618, 0.009505841577525384, -0.1651375220722652, 0.21615540884548473, 0.35387000765903004, 0.05399900151089588, 0.24272881254243353, -0.41604676310505184, -0.12950606220900746, 0.10009052311874084, 0.11901190522933446, 0.08997176980985733, -0.0171937560498052, -0.27504009500539506, 0.08674498957372548, -0.21468279037868515, -0.16076402242747245, -0.07593592461420312, 0.054457642697906566, -0.04304946473677687, -0.1985179911799995, 0.018241951731310803, 0.10873640682984842, 0.13923406212901077, -0.07312048051088434, -0.08521878852514506, -0.006956983925192617, 0.026747293686293278, 0.021581065020568314, 0.012390080620423845, 0.09158758425785761, -0.0888177821124416, -0.14548040185694672, 0.3768705915482271, -0.007790343081069295, -0.205980865774715, 0.13842756979145288, -0.09181695631039995, -0.1990629318350416, 0.06849016364832919, 0.06908676526620097, 0.17596630388981707, -0.09666058468532615, 0.15360066653374815, -0.07389034618141263, 0.07368302993529055, 0.07782788062468171, -0.02804627592351088, 0.1442755127365152, 0.13730180528606675, 0.05775341788484227, 0.13894689210567213, 0.06706769565270017, -0.11573461481713734, -0.35489727685316685, -0.16823798999290115, -0.03070530482190883, 0.09535254269195277, -0.05668108584853014, -0.15877967383823402, 0.3725271998355094, 0.12389663316675328, 0.18540146611520045, 0.13303276384734394, 0.2505335575995213, 0.0902231231669984, 0.05705928641518334, -0.024612919931920867, 0.1968758499854067, 0.2757500795996748, 0.11176574658990528, -0.06801462772879556, -0.03178173857685622, 0.1912891771814126] |
1,802.09557 | Mass determination of the 1:3:5 near-resonant planets transiting GJ 9827
(K2-135) | Aims. GJ 9827 (K2-135) has recently been found to host a tightly packed
system consisting of three transiting small planets whose orbital periods of
1.2, 3.6, and 6.2 days are near the 1:3:5 ratio. GJ 9827 hosts the nearest
planetary system (d = $30.32\pm1.62$ pc) detected by Kepler and K2 . Its
brightness (V = 10.35 mag) makes the star an ideal target for detailed studies
of the properties of its planets.
Results. We find that GJ 9827 b has a mass of
$M_\mathrm{b}=3.74^{+0.50}_{-0.48}$ $M_\oplus$ and a radius of
$R_\mathrm{b}=1.62^{+0.17}_{-0.16}$ $R_\oplus$, yielding a mean density of
$\rho_\mathrm{b} = 4.81^{+1.97}_{-1.33}$ g cm$^{-3}$. GJ 9827 c has a mass of
$M_\mathrm{c}=1.47^{+0.59}_{-0.58}$ $M_\oplus$, radius of
$R_\mathrm{c}=1.27^{+0.13}_{-0.13}$ $R_\oplus$, and a mean density of
$\rho_\mathrm{c}= 3.87^{+2.38}_{-1.71}$ g cm$^{-3}$. For GJ 9827 d we derive
$M_\mathrm{d}=2.38^{+0.71}_{-0.69}$ $M_\oplus$,
$R_\mathrm{d}=2.09^{+0.22}_{-0.21}$ $R_\oplus$, and $\rho_\mathrm{d}=
1.42^{+0.75}_{-0.52}$ g cm$^{-3}$.
Conclusions. GJ 9827 is one of the few known transiting planetary systems for
which the masses of all planets have been determined with a precision better
than 30%. This system is particularly interesting because all three planets are
close to the limit between super-Earths and mini-Neptunes. We also find that
the planetary bulk compositions are compatible with a scenario where all three
planets formed with similar core/atmosphere compositions, and we speculate that
while GJ 9827 b and GJ 9827 c lost their atmospheric envelopes, GJ 9827 d
maintained its atmosphere, owing to the much lower stellar irradiation. This
makes GJ 9827 one of the very few systems where the dynamical evolution and the
atmospheric escape can be studied in detail for all planets, helping us to
understand how compact systems form and evolve.
| astro-ph.EP | aims gj 9827 k2135 has recently been found to host a tightly packed system consisting of three transiting small planets whose orbital periods of 12 36 and 62 days are near the 135 ratio gj 9827 hosts the nearest planetary system d 3032pm162 pc detected by kepler and k2 its brightness v 1035 mag makes the star an ideal target for detailed studies of the properties of its planets results we find that gj 9827 b has a mass of m_mathrmb374050_048 m_oplus and a radius of r_mathrmb162017_016 r_oplus yielding a mean density of rho_mathrmb 481197_133 g cm3 gj 9827 c has a mass of m_mathrmc147059_058 m_oplus radius of r_mathrmc127013_013 r_oplus and a mean density of rho_mathrmc 387238_171 g cm3 for gj 9827 d we derive m_mathrmd238071_069 m_oplus r_mathrmd209022_021 r_oplus and rho_mathrmd 142075_052 g cm3 conclusions gj 9827 is one of the few known transiting planetary systems for which the masses of all planets have been determined with a precision better than 30 this system is particularly interesting because all three planets are close to the limit between superearths and minineptunes we also find that the planetary bulk compositions are compatible with a scenario where all three planets formed with similar coreatmosphere compositions and we speculate that while gj 9827 b and gj 9827 c lost their atmospheric envelopes gj 9827 d maintained its atmosphere owing to the much lower stellar irradiation this makes gj 9827 one of the very few systems where the dynamical evolution and the atmospheric escape can be studied in detail for all planets helping us to understand how compact systems form and evolve | [['aims', 'gj', '9827', 'k2135', 'has', 'recently', 'been', 'found', 'to', 'host', 'a', 'tightly', 'packed', 'system', 'consisting', 'of', 'three', 'transiting', 'small', 'planets', 'whose', 'orbital', 'periods', 'of', '12', '36', 'and', '62', 'days', 'are', 'near', 'the', '135', 'ratio', 'gj', '9827', 'hosts', 'the', 'nearest', 'planetary', 'system', 'd', 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1,802.09558 | Constructing exact representations of quantum many-body systems with
deep neural networks | We develop a constructive approach to generate artificial neural networks
representing the exact ground states of a large class of many-body lattice
Hamiltonians. It is based on the deep Boltzmann machine architecture, in which
two layers of hidden neurons mediate quantum correlations among physical
degrees of freedom in the visible layer. The approach reproduces the exact
imaginary-time Hamiltonian evolution, and is completely deterministic. In turn,
compact and exact network representations for the ground states are obtained
without stochastic optimization of the network parameters. The number of
neurons grows linearly with the system size and total imaginary time,
respectively. Physical quantities can be measured by sampling configurations of
both physical and neuron degrees of freedom. We provide specific examples for
the transverse-field Ising and Heisenberg models by implementing efficient
sampling. As a compact, classical representation for many-body quantum systems,
our approach is an alternative to the standard path integral, and it is
potentially useful also to systematically improve on numerical approaches based
on the restricted Boltzmann machine architecture.
| cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el physics.comp-ph quant-ph | we develop a constructive approach to generate artificial neural networks representing the exact ground states of a large class of manybody lattice hamiltonians it is based on the deep boltzmann machine architecture in which two layers of hidden neurons mediate quantum correlations among physical degrees of freedom in the visible layer the approach reproduces the exact imaginarytime hamiltonian evolution and is completely deterministic in turn compact and exact network representations for the ground states are obtained without stochastic optimization of the network parameters the number of neurons grows linearly with the system size and total imaginary time respectively physical quantities can be measured by sampling configurations of both physical and neuron degrees of freedom we provide specific examples for the transversefield ising and heisenberg models by implementing efficient sampling as a compact classical representation for manybody quantum systems our approach is an alternative to the standard path integral and it is potentially useful also to systematically improve on numerical approaches based on the restricted boltzmann machine architecture | [['we', 'develop', 'a', 'constructive', 'approach', 'to', 'generate', 'artificial', 'neural', 'networks', 'representing', 'the', 'exact', 'ground', 'states', 'of', 'a', 'large', 'class', 'of', 'manybody', 'lattice', 'hamiltonians', 'it', 'is', 'based', 'on', 'the', 'deep', 'boltzmann', 'machine', 'architecture', 'in', 'which', 'two', 'layers', 'of', 'hidden', 'neurons', 'mediate', 'quantum', 'correlations', 'among', 'physical', 'degrees', 'of', 'freedom', 'in', 'the', 'visible', 'layer', 'the', 'approach', 'reproduces', 'the', 'exact', 'imaginarytime', 'hamiltonian', 'evolution', 'and', 'is', 'completely', 'deterministic', 'in', 'turn', 'compact', 'and', 'exact', 'network', 'representations', 'for', 'the', 'ground', 'states', 'are', 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0.06664868584181556, -0.24034249800547378, 0.03131846470122566, 0.08771263289092454] |
1,802.09559 | Biorthogonal vectors, sesquilinear forms and some physical operators | Continuing the analysis undertaken in previous articles, we discuss some
features of non-self-adjoint operators and sesquilinear forms which are defined
starting from two biorthogonal families of vectors, like the so-called
generalized Riesz systems, enjoying certain properties. In particular we
discuss what happens when they forms two $\D$-quasi bases.
| math-ph math.MP quant-ph | continuing the analysis undertaken in previous articles we discuss some features of nonselfadjoint operators and sesquilinear forms which are defined starting from two biorthogonal families of vectors like the socalled generalized riesz systems enjoying certain properties in particular we discuss what happens when they forms two dquasi bases | [['continuing', 'the', 'analysis', 'undertaken', 'in', 'previous', 'articles', 'we', 'discuss', 'some', 'features', 'of', 'nonselfadjoint', 'operators', 'and', 'sesquilinear', 'forms', 'which', 'are', 'defined', 'starting', 'from', 'two', 'biorthogonal', 'families', 'of', 'vectors', 'like', 'the', 'socalled', 'generalized', 'riesz', 'systems', 'enjoying', 'certain', 'properties', 'in', 'particular', 'we', 'discuss', 'what', 'happens', 'when', 'they', 'forms', 'two', 'dquasi', 'bases']] | [-0.1754381397816663, 0.10570036670348297, -0.05849631386809051, 0.13420417780192415, -0.07987276994875477, -0.10397615659288324, -0.02811541243378694, 0.3600566207896918, -0.3175057282981773, -0.14928724123941114, 0.14120887696723608, -0.3369133368638965, -0.21137153483869042, 0.1956555256037973, -0.058062470595662795, 0.07409580278908834, 0.05347518376462782, 0.07222665521355036, -0.1867346372867663, -0.2631157860935976, 0.4402648383790317, -0.012846451681980398, 0.21559315430931747, -0.053243895643390715, 0.006155224012521406, -0.02672431245931269, -0.07013323200711359, -0.06635409516942066, -0.1636832458898425, 0.14393461311313635, 0.3020175696971516, 0.15134002722334117, 0.30497898867664236, -0.4396211411803961, -0.14916432575167468, 0.17531730816699564, 0.12229314623012517, 0.03023388557630824, -0.01900502062077673, -0.2811541072248171, 0.006210648738488089, -0.1472735999947569, -0.1600040029346322, -0.12279386407074828, -0.013480425618278483, 0.07729764994777118, -0.21588507989266267, 0.02636732833343558, 0.14661845413502306, 0.11012247627756248, -0.11528811833704822, -0.18749608787281127, -0.0036749718613767377, 0.048979389265999394, 0.013069531337047616, -0.0635027761454694, 0.06587520882991764, -0.07706549589056522, -0.1323181051023615, 0.3531783315508316, -0.018358736197114922, -0.24361095511509726, 0.1866794046557819, -0.19403942371718585, -0.21723264281172305, -0.0015628565840112667, 0.13170597603311762, 0.11352102446350425, -0.14629178879992347, 0.12184082978516624, -0.07057004241505638, 0.048871192460258804, 0.16142239793164967, 0.13188374368473887, 0.14101157230713093, 0.027651325518187757, 0.006750179803930223, 0.16080650763857798, 0.05391998049647858, -0.15036471755593084, -0.2941646774027807, -0.1318752244405914, -0.10464589936600532, 0.052997027235202644, -0.07736202568988422, -0.173899557441473, 0.398720055197676, 0.12244525215646718, 0.2082212493599703, 0.02173273792868713, 0.13694875730046382, 0.11153233943817516, 0.09940032195724295, 0.055982056558908276, 0.17442207266685728, 0.1578122833670932, 0.09548561163198126, -0.0680316400200051, -0.023897462559640797, 0.1465708029960903] |
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