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1,803.00567 | Computational Optimal Transport | Optimal transport (OT) theory can be informally described using the words of
the French mathematician Gaspard Monge (1746-1818): A worker with a shovel in
hand has to move a large pile of sand lying on a construction site. The goal of
the worker is to erect with all that sand a target pile with a prescribed shape
(for example, that of a giant sand castle). Naturally, the worker wishes to
minimize her total effort, quantified for instance as the total distance or
time spent carrying shovelfuls of sand. Mathematicians interested in OT cast
that problem as that of comparing two probability distributions, two different
piles of sand of the same volume. They consider all of the many possible ways
to morph, transport or reshape the first pile into the second, and associate a
"global" cost to every such transport, using the "local" consideration of how
much it costs to move a grain of sand from one place to another. Recent years
have witnessed the spread of OT in several fields, thanks to the emergence of
approximate solvers that can scale to sizes and dimensions that are relevant to
data sciences. Thanks to this newfound scalability, OT is being increasingly
used to unlock various problems in imaging sciences (such as color or texture
processing), computer vision and graphics (for shape manipulation) or machine
learning (for regression, classification and density fitting). This short book
reviews OT with a bias toward numerical methods and their applications in data
sciences, and sheds lights on the theoretical properties of OT that make it
particularly useful for some of these applications.
| stat.ML | optimal transport ot theory can be informally described using the words of the french mathematician gaspard monge 17461818 a worker with a shovel in hand has to move a large pile of sand lying on a construction site the goal of the worker is to erect with all that sand a target pile with a prescribed shape for example that of a giant sand castle naturally the worker wishes to minimize her total effort quantified for instance as the total distance or time spent carrying shovelfuls of sand mathematicians interested in ot cast that problem as that of comparing two probability distributions two different piles of sand of the same volume they consider all of the many possible ways to morph transport or reshape the first pile into the second and associate a global cost to every such transport using the local consideration of how much it costs to move a grain of sand from one place to another recent years have witnessed the spread of ot in several fields thanks to the emergence of approximate solvers that can scale to sizes and dimensions that are relevant to data sciences thanks to this newfound scalability ot is being increasingly used to unlock various problems in imaging sciences such as color or texture processing computer vision and graphics for shape manipulation or machine learning for regression classification and density fitting this short book reviews ot with a bias toward numerical methods and their applications in data sciences and sheds lights on the theoretical properties of ot that make it particularly useful for some of these applications | [['optimal', 'transport', 'ot', 'theory', 'can', 'be', 'informally', 'described', 'using', 'the', 'words', 'of', 'the', 'french', 'mathematician', 'gaspard', 'monge', '17461818', 'a', 'worker', 'with', 'a', 'shovel', 'in', 'hand', 'has', 'to', 'move', 'a', 'large', 'pile', 'of', 'sand', 'lying', 'on', 'a', 'construction', 'site', 'the', 'goal', 'of', 'the', 'worker', 'is', 'to', 'erect', 'with', 'all', 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1,803.00568 | Limits on Runaway Growth of Intermediate Mass Black Holes from Advanced
LIGO | There is growing evidence that intermediate-mass black holes (IMBHs), defined
here as having a mass in the range M=500-10^5 Msun, are present in the dense
centers of certain globular clusters (GCs). Gravitational waves (GWs) from
their mergers with other IMBHs or with stellar BHs in the cluster are mostly
emitted in frequencies <10 Hz, which unfortunately is out of reach for current
ground-based observatories such as advanced LIGO (aLIGO). Nevertheless, we show
that aLIGO measurements can be used to efficiently probe one of the possible
formation mechanisms of IMBHs in GCs, namely a runaway merger process of
stellar seed BHs. In this case, aLIGO will be sensitive to the lower-mass rungs
of the merger ladder, ranging from the seed BH mass to masses >~50-300 Msun,
where the background from standard mergers is expected to be very low. Assuming
this generic IMBH formation scenario, we calculate the mass functions that
correspond to the limiting cases of possible merger trees. Based on estimates
for the number density of GCs and taking into account the instrumental
sensitivity, we show that current observations do not effectively limit the
occupation fraction f_occ of IMBHs formed by runaway mergers of stellar BHs in
GCs. However, we find that a six-year run of aLIGO at design sensitivity will
be able to probe down to f_occ<3% at a 99.9% confidence level, either finding
evidence for this formation mechanism, or necessitating others if the fraction
of GCs that harbor IMBHs is higher.
| astro-ph.HE astro-ph.GA | there is growing evidence that intermediatemass black holes imbhs defined here as having a mass in the range m500105 msun are present in the dense centers of certain globular clusters gcs gravitational waves gws from their mergers with other imbhs or with stellar bhs in the cluster are mostly emitted in frequencies 10 hz which unfortunately is out of reach for current groundbased observatories such as advanced ligo aligo nevertheless we show that aligo measurements can be used to efficiently probe one of the possible formation mechanisms of imbhs in gcs namely a runaway merger process of stellar seed bhs in this case aligo will be sensitive to the lowermass rungs of the merger ladder ranging from the seed bh mass to masses 50300 msun where the background from standard mergers is expected to be very low assuming this generic imbh formation scenario we calculate the mass functions that correspond to the limiting cases of possible merger trees based on estimates for the number density of gcs and taking into account the instrumental sensitivity we show that current observations do not effectively limit the occupation fraction f_occ of imbhs formed by runaway mergers of stellar bhs in gcs however we find that a sixyear run of aligo at design sensitivity will be able to probe down to f_occ3 at a 999 confidence level either finding evidence for this formation mechanism or necessitating others if the fraction of gcs that harbor imbhs is higher | [['there', 'is', 'growing', 'evidence', 'that', 'intermediatemass', 'black', 'holes', 'imbhs', 'defined', 'here', 'as', 'having', 'a', 'mass', 'in', 'the', 'range', 'm500105', 'msun', 'are', 'present', 'in', 'the', 'dense', 'centers', 'of', 'certain', 'globular', 'clusters', 'gcs', 'gravitational', 'waves', 'gws', 'from', 'their', 'mergers', 'with', 'other', 'imbhs', 'or', 'with', 'stellar', 'bhs', 'in', 'the', 'cluster', 'are', 'mostly', 'emitted', 'in', 'frequencies', '10', 'hz', 'which', 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1,803.00569 | Many-body entanglement in a topological chiral ladder | We find that the topological phase transition in a chiral ladder is
characterized by dramatic signatures in many body entanglement entropy between
the legs, close to half-filling. The value of entanglement entropy for various
fillings close to half-filling is identical, at the critical point, but splays
out on either side, thus showing a sharp signature at the transition point. A
second signature is provided by the change in entanglement entropy when a
particle is added (or subtracted) from half-filling which turns out to be
exactly $-\log{2}$ in the trivial phase, but zero in the topological phase. A
microscopic understanding of tendencies to form singlets along the rungs in the
trivial phase, and along the diagonals in the topological phase, is afforded by
a study of concurrence. At the topological phase transition the magnitude of
the derivative of the average concurrence of all the rungs shows a sharp peak.
Also, at the critical point, the average concurrence is the same for various
fillings close to half-filling, but splays out on either side, just like
entanglement entropy.
| cond-mat.mes-hall cond-mat.quant-gas quant-ph | we find that the topological phase transition in a chiral ladder is characterized by dramatic signatures in many body entanglement entropy between the legs close to halffilling the value of entanglement entropy for various fillings close to halffilling is identical at the critical point but splays out on either side thus showing a sharp signature at the transition point a second signature is provided by the change in entanglement entropy when a particle is added or subtracted from halffilling which turns out to be exactly log2 in the trivial phase but zero in the topological phase a microscopic understanding of tendencies to form singlets along the rungs in the trivial phase and along the diagonals in the topological phase is afforded by a study of concurrence at the topological phase transition the magnitude of the derivative of the average concurrence of all the rungs shows a sharp peak also at the critical point the average concurrence is the same for various fillings close to halffilling but splays out on either side just like entanglement entropy | [['we', 'find', 'that', 'the', 'topological', 'phase', 'transition', 'in', 'a', 'chiral', 'ladder', 'is', 'characterized', 'by', 'dramatic', 'signatures', 'in', 'many', 'body', 'entanglement', 'entropy', 'between', 'the', 'legs', 'close', 'to', 'halffilling', 'the', 'value', 'of', 'entanglement', 'entropy', 'for', 'various', 'fillings', 'close', 'to', 'halffilling', 'is', 'identical', 'at', 'the', 'critical', 'point', 'but', 'splays', 'out', 'on', 'either', 'side', 'thus', 'showing', 'a', 'sharp', 'signature', 'at', 'the', 'transition', 'point', 'a', 'second', 'signature', 'is', 'provided', 'by', 'the', 'change', 'in', 'entanglement', 'entropy', 'when', 'a', 'particle', 'is', 'added', 'or', 'subtracted', 'from', 'halffilling', 'which', 'turns', 'out', 'to', 'be', 'exactly', 'log2', 'in', 'the', 'trivial', 'phase', 'but', 'zero', 'in', 'the', 'topological', 'phase', 'a', 'microscopic', 'understanding', 'of', 'tendencies', 'to', 'form', 'singlets', 'along', 'the', 'rungs', 'in', 'the', 'trivial', 'phase', 'and', 'along', 'the', 'diagonals', 'in', 'the', 'topological', 'phase', 'is', 'afforded', 'by', 'a', 'study', 'of', 'concurrence', 'at', 'the', 'topological', 'phase', 'transition', 'the', 'magnitude', 'of', 'the', 'derivative', 'of', 'the', 'average', 'concurrence', 'of', 'all', 'the', 'rungs', 'shows', 'a', 'sharp', 'peak', 'also', 'at', 'the', 'critical', 'point', 'the', 'average', 'concurrence', 'is', 'the', 'same', 'for', 'various', 'fillings', 'close', 'to', 'halffilling', 'but', 'splays', 'out', 'on', 'either', 'side', 'just', 'like', 'entanglement', 'entropy']] | [-0.1804289402586541, 0.20369757703339147, -0.09465903238725981, 0.06651265122129449, 0.014990674036421946, -0.19056685968435236, 0.11462179440206716, 0.32018198295895545, -0.2505775592529348, -0.2285159545764327, 0.07553822994830885, -0.36865296396559905, -0.11899567470220583, 0.1288884519592726, 0.01751045046640294, 0.01782232773357204, -0.022299336097868425, 0.11364538666393076, -0.14954481268434652, -0.22119614345686775, 0.31752450668652143, 0.010722560174763203, 0.27044384656207904, 0.10585769518278539, 0.03415197921384658, -0.037064202752496514, 0.08526115191302129, 0.04090924449265003, -0.14598261808864274, -0.010800416243395635, 0.23964789416640997, -0.03224964039666312, 0.1873715921065637, -0.3621241699372019, -0.16955814191871987, 0.0925086930008339, 0.1325852531660348, 0.12958327158420746, -0.015385722383590681, -0.31197397741356064, 0.024193970457251582, -0.13639947782137565, -0.1388723175839654, -0.05140973147004843, 0.0051427371533853666, -0.05831898723995047, -0.20732319510408811, 0.09858040800434537, 0.06468233615958265, 0.0908922541886568, 0.006489072741408433, -0.09070240791088768, -0.10657573655912919, 0.11621557129630154, 0.04445683336151498, 0.08534801431532417, 0.09782559347738112, -0.15911438815495266, -0.09407468728987234, 0.3412059040953006, -0.04480620067566633, -0.12152921742892692, 0.18638364830054344, -0.22002530618171606, -0.11252611078588026, 0.18681597096765473, 0.061613071329359496, 0.04993382333644799, -0.08735464456000565, 0.05678143220787336, 0.01645935228759689, 0.17996575654800315, 0.06503729241234915, 0.05436428707625185, 0.27746343924530914, 0.08384517497915242, 0.13237891845105748, 0.23851500415841917, -0.07552341054326722, -0.17668664137034543, -0.2905617679283023, -0.1806594290743981, -0.2484512636351532, 0.038813716769218444, -0.11223324833429485, -0.16391156007668803, 0.4221828139081065, 0.12331801400919046, 0.240144099135484, 0.00101646292489022, 0.2657617376505264, 0.14015264639364822, 0.06399723498416798, 0.0690598877758852, 0.266892227341554, 0.08509201169945299, 0.07815331162086554, -0.244008100022329, 0.06072196223906108, 0.11050737362354994] |
1,803.0057 | Evolution of the anti-truncated stellar profiles of S0 galaxies since
$z=0.6$ in the SHARDS survey: II - Structural and photometric evolution | Type-III S0 galaxies present tight scaling relations between their surface
brightness photometric and structural parameters. Several evolutionary models
have been proposed for the formation of Type-III S0 galaxies but the
observations of are usually limited to the local Universe.
We study the evolution of the photometric and structural scaling relations
found between the parameters of the surface brightness profiles in the
rest-frame R-band of Type-III S0 galaxies with z and the possible differences
between the rest-frame (B-R) colours of the inner and outer disc profiles.
We make use of a sample of 14 Type-III E/S0--S0 galaxies at 0.2<z<0.6 to
study if the correlations found in local Type-III S0 galaxies were present ~6
Gyr ago. We analyse the distribution of the surface brightness characteristic
parameters as a function of the stellar mass and if there is a significant
change with z. We also derive their rest-frame (B-R) colour profiles and we
compare these results with the predictions from a grid of SSP models.
We find that the inner and outer scale-lengths of Type-III S0 galaxies at
0.4<z<0.6 follow compatible trends and scaling relations with those observed in
local S0 galaxies. We do not detect any significant differences between the
location of Rbreak between z~0.6 and z=0 for a fixed stellar mass of the
object, whereas the surface brightness at the break radius is ~1.5 mag arcsec-2
dimmer in the local Universe than at z~0.6 for a fixed stellar mass.
In contrast to Type-II profiles, the Type-III surface brightness profiles of
S0 galaxies present compatible Rbreak values and scaling relations during the
last 6 Gyr. This result and the similarity of the colours of the inner and
outer discs point to a highly scalable and stable formation process, probably
more related to gravitational and dynamical processes than to the evolution of
stellar populations (abridged).
| astro-ph.GA | typeiii s0 galaxies present tight scaling relations between their surface brightness photometric and structural parameters several evolutionary models have been proposed for the formation of typeiii s0 galaxies but the observations of are usually limited to the local universe we study the evolution of the photometric and structural scaling relations found between the parameters of the surface brightness profiles in the restframe rband of typeiii s0 galaxies with z and the possible differences between the restframe br colours of the inner and outer disc profiles we make use of a sample of 14 typeiii es0s0 galaxies at 02z06 to study if the correlations found in local typeiii s0 galaxies were present 6 gyr ago we analyse the distribution of the surface brightness characteristic parameters as a function of the stellar mass and if there is a significant change with z we also derive their restframe br colour profiles and we compare these results with the predictions from a grid of ssp models we find that the inner and outer scalelengths of typeiii s0 galaxies at 04z06 follow compatible trends and scaling relations with those observed in local s0 galaxies we do not detect any significant differences between the location of rbreak between z06 and z0 for a fixed stellar mass of the object whereas the surface brightness at the break radius is 15 mag arcsec2 dimmer in the local universe than at z06 for a fixed stellar mass in contrast to typeii profiles the typeiii surface brightness profiles of s0 galaxies present compatible rbreak values and scaling relations during the last 6 gyr this result and the similarity of the colours of the inner and outer discs point to a highly scalable and stable formation process probably more related to gravitational and dynamical processes than to the evolution of stellar populations abridged | [['typeiii', 's0', 'galaxies', 'present', 'tight', 'scaling', 'relations', 'between', 'their', 'surface', 'brightness', 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1,803.00571 | The comparative effect of FUV, EUV and X-ray disc photoevaporation on
gas giant separations | Gas giants' early ($\lesssim 5$ Myr) orbital evolution occurs in a disc
losing mass in part to photoevaporation driven by high energy irradiance from
the host star. This process may ultimately overcome viscous accretion to
disperse the disc and halt migrating giants by starving their orbits of gas,
imprinting on giant planet separations in evolved systems. Inversion of this
distribution could then give insight into whether stellar FUV, EUV or X-ray
flux dominates photoevaporation, constraining planet formation and disc
evolution models. We use a 1D hydrodynamic code in population syntheses for gas
giants undergoing Type II migration in a viscously evolving disc subject to
either a primarily FUV, EUV or X-ray flux from a pre-solar T Tauri star. The
photoevaporative mass loss profile's unique peak location and width in each
energetic regime produces characteristic features in the distribution of giant
separations: a severe dearth of $\lesssim$ 2 M$_{\rm J}$ planets interior to 5
AU in the FUV scenario, a sharp concentration of $\lesssim$ 3 M$_{\rm J}$
planets between $\approx 1.5 - 2$ AU in the EUV case, and a relative abundance
of $\approx 2 - 3.5$ M$_{\rm J}$ giants interior to 0.5 AU in the X-ray model.
These features do not resemble the observational sample of gas giants with mass
constraints, though our results do show some weaker qualitative similarities.
We thus assess how the differing photoevaporative profiles interact with
migrating giants and address the effects of large model uncertainties as a step
to better connect disc models with trends in the exoplanet population.
| astro-ph.EP | gas giants early lesssim 5 myr orbital evolution occurs in a disc losing mass in part to photoevaporation driven by high energy irradiance from the host star this process may ultimately overcome viscous accretion to disperse the disc and halt migrating giants by starving their orbits of gas imprinting on giant planet separations in evolved systems inversion of this distribution could then give insight into whether stellar fuv euv or xray flux dominates photoevaporation constraining planet formation and disc evolution models we use a 1d hydrodynamic code in population syntheses for gas giants undergoing type ii migration in a viscously evolving disc subject to either a primarily fuv euv or xray flux from a presolar t tauri star the photoevaporative mass loss profiles unique peak location and width in each energetic regime produces characteristic features in the distribution of giant separations a severe dearth of lesssim 2 m_rm j planets interior to 5 au in the fuv scenario a sharp concentration of lesssim 3 m_rm j planets between approx 15 2 au in the euv case and a relative abundance of approx 2 35 m_rm j giants interior to 05 au in the xray model these features do not resemble the observational sample of gas giants with mass constraints though our results do show some weaker qualitative similarities we thus assess how the differing photoevaporative profiles interact with migrating giants and address the effects of large model uncertainties as a step to better connect disc models with trends in the exoplanet population | [['gas', 'giants', 'early', 'lesssim', '5', 'myr', 'orbital', 'evolution', 'occurs', 'in', 'a', 'disc', 'losing', 'mass', 'in', 'part', 'to', 'photoevaporation', 'driven', 'by', 'high', 'energy', 'irradiance', 'from', 'the', 'host', 'star', 'this', 'process', 'may', 'ultimately', 'overcome', 'viscous', 'accretion', 'to', 'disperse', 'the', 'disc', 'and', 'halt', 'migrating', 'giants', 'by', 'starving', 'their', 'orbits', 'of', 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1,803.00572 | Recovering quantum gates from few average gate fidelities | Characterising quantum processes is a key task in and constitutes a challenge
for the development of quantum technologies, especially at the noisy
intermediate scale of today's devices. One method for characterising processes
is randomised benchmarking, which is robust against state preparation and
measurement (SPAM) errors, and can be used to benchmark Clifford gates. A
complementing approach asks for full tomographic knowledge. Compressed sensing
techniques achieve full tomography of quantum channels essentially at optimal
resource efficiency. So far, guarantees for compressed sensing protocols rely
on unstructured random measurements and can not be applied to the data acquired
from randomised benchmarking experiments. It has been an open question whether
or not the favourable features of both worlds can be combined. In this work, we
give a positive answer to this question. For the important case of
characterising multi-qubit unitary gates, we provide a rigorously guaranteed
and practical reconstruction method that works with an essentially optimal
number of average gate fidelities measured respect to random Clifford
unitaries. Moreover, for general unital quantum channels we provide an explicit
expansion into a unitary 2-design, allowing for a practical and guaranteed
reconstruction also in that case. As a side result, we obtain a new statistical
interpretation of the unitarity -- a figure of merit that characterises the
coherence of a process. In our proofs we exploit recent representation
theoretic insights on the Clifford group, develop a version of Collins'
calculus with Weingarten functions for integration over the Clifford group, and
combine this with proof techniques from compressed sensing.
| quant-ph cs.IT math.IT | characterising quantum processes is a key task in and constitutes a challenge for the development of quantum technologies especially at the noisy intermediate scale of todays devices one method for characterising processes is randomised benchmarking which is robust against state preparation and measurement spam errors and can be used to benchmark clifford gates a complementing approach asks for full tomographic knowledge compressed sensing techniques achieve full tomography of quantum channels essentially at optimal resource efficiency so far guarantees for compressed sensing protocols rely on unstructured random measurements and can not be applied to the data acquired from randomised benchmarking experiments it has been an open question whether or not the favourable features of both worlds can be combined in this work we give a positive answer to this question for the important case of characterising multiqubit unitary gates we provide a rigorously guaranteed and practical reconstruction method that works with an essentially optimal number of average gate fidelities measured respect to random clifford unitaries moreover for general unital quantum channels we provide an explicit expansion into a unitary 2design allowing for a practical and guaranteed reconstruction also in that case as a side result we obtain a new statistical interpretation of the unitarity a figure of merit that characterises the coherence of a process in our proofs we exploit recent representation theoretic insights on the clifford group develop a version of collins calculus with weingarten functions for integration over the clifford group and combine this with proof techniques from compressed sensing | [['characterising', 'quantum', 'processes', 'is', 'a', 'key', 'task', 'in', 'and', 'constitutes', 'a', 'challenge', 'for', 'the', 'development', 'of', 'quantum', 'technologies', 'especially', 'at', 'the', 'noisy', 'intermediate', 'scale', 'of', 'todays', 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1,803.00573 | Dynamical Ages of the Young Local Associations with $\textit{Gaia}$ | The Young Local Associations constitute an excellent sample for the study of
a variety of astrophysical topics, especially the star formation process in
low-density environments. Data from the Gaia mission allows us to undertake
studies of the YLAs with unprecedented accuracy. We determine the dynamical age
and place of birth of a set of associations in a uniform and dynamically
consistent manner. There are nine YLAs in our sample $\epsilon$ Chamaeleontis,
TW Hydrae, $\beta$ Pictoris, Octans, Tucana-Horologium, Columba, Carina, Argus
and AB Doradus. We designed a method for deriving the dynamical age of the YLAs
based on the orbital integration. It involves a strategy to account for the
effect of observational errors and we tested it using mock YLAs. Finally, we
applied it to our set of nine YLAs with astrometry from the first Gaia data
release and complementary on-ground radial velocities from the literature. Our
orbital analysis yields a first estimate of the dynamical age of 3$^{+9}_{-0}$
Myr, 13$^{+7}_{-0}$ Myr and 5$^{+23}_{-0}$ Myr for $\epsilon$ Cha, $\beta$ Pict
and Tuc-Hor, respectively. For four other associations (Oct, Col, Car and Arg),
we provide a lower limit for the dynamical age. Our rigorous error treatment
indicates that TW Hya and AB Dor deserve further study. Our dynamical ages are
compatible spectroscopic and isochrone fitting ages obtained elsewhere. From
the orbital analysis, we suggest a scenario with two episodes of star
formation: one ~40 Myr ago in the first quadrant that gave birth to $\epsilon$
Cha, TW Hya and $\beta$ Pic, and another 5-15 Myr ago close to the Sun that
formed Tuc-Hor, Col, and Car. Future Gaia data will provide the necessary
accuracy to improve the present results, especially for the controversial age
determinations, and additional evidence for the proposed scenario, once a
complete census of YLAs and better membership can be obtained.
| astro-ph.GA | the young local associations constitute an excellent sample for the study of a variety of astrophysical topics especially the star formation process in lowdensity environments data from the gaia mission allows us to undertake studies of the ylas with unprecedented accuracy we determine the dynamical age and place of birth of a set of associations in a uniform and dynamically consistent manner there are nine ylas in our sample epsilon chamaeleontis tw hydrae beta pictoris octans tucanahorologium columba carina argus and ab doradus we designed a method for deriving the dynamical age of the ylas based on the orbital integration it involves a strategy to account for the effect of observational errors and we tested it using mock ylas finally we applied it to our set of nine ylas with astrometry from the first gaia data release and complementary onground radial velocities from the literature our orbital analysis yields a first estimate of the dynamical age of 39_0 myr 137_0 myr and 523_0 myr for epsilon cha beta pict and tuchor respectively for four other associations oct col car and arg we provide a lower limit for the dynamical age our rigorous error treatment indicates that tw hya and ab dor deserve further study our dynamical ages are compatible spectroscopic and isochrone fitting ages obtained elsewhere from the orbital analysis we suggest a scenario with two episodes of star formation one 40 myr ago in the first quadrant that gave birth to epsilon cha tw hya and beta pic and another 515 myr ago close to the sun that formed tuchor col and car future gaia data will provide the necessary accuracy to improve the present results especially for the controversial age determinations and additional evidence for the proposed scenario once a complete census of ylas and better membership can be obtained | [['the', 'young', 'local', 'associations', 'constitute', 'an', 'excellent', 'sample', 'for', 'the', 'study', 'of', 'a', 'variety', 'of', 'astrophysical', 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1,803.00574 | SPIRITS 16tn in NGC 3556: A heavily obscured and low-luminosity
supernova at 8.8 Mpc | We present the discovery by the SPitzer InfraRed Intensive Transients Survey
(SPIRITS) of a likely supernova (SN) in NGC 3556 at only 8.8 Mpc, which,
despite its proximity, was not detected by optical searches. A luminous
infrared (IR) transient at $M_{[4.5]} = -16.7$ mag (Vega), SPIRITS 16tn is
coincident with a dust lane in the inclined, star-forming disk of the host.
Using IR, optical, and radio observations, we attempt to determine the nature
of this event. We estimate $A_V \approx$ 8 - 9 mag of extinction, placing it
among the three most highly obscured IR-discovered SNe to date. The [4.5] light
curve declined at a rate of 0.013 mag day$^{-1}$, and the $[3.6] - [4.5]$ color
grew redder from 0.7 to $\gtrsim$ 1.0 mag by 184.7 days post discovery.
Optical/IR spectroscopy shows a red continuum, but no clearly discernible
features, preventing a definitive spectroscopic classification. Deep radio
observations constrain the radio luminosity of SPIRITS 16tn to $L_{\nu}
\lesssim 10^{24}$ erg s$^{-1}$ Hz$^{-1}$ between 3 - 15 GHz, excluding many
varieties of radio core-collapse SNe. A type Ia SN is ruled out by the observed
red IR color, and lack of features normally attributed to Fe-peak elements in
the optical and IR spectra. SPIRITS 16tn was fainter at [4.5] than typical
stripped-envelope SNe by $\approx$ 1 mag. Comparison of the spectral energy
distribution to SNe II suggests SPIRITS 16tn was both highly obscured, and
intrinsically dim, possibly akin to the low-luminosity SN 2005cs. We infer the
presence of an IR dust echo powered by a peak luminosity of the transient of $5
\times 10^{40}$ erg s$^{-1} < L_{\mathrm{peak}} < 4\times10^{43}$ erg s$^{-1}$,
consistent with the observed range for SNe II. This discovery illustrates the
power of IR surveys to overcome the compounding effects of visible extinction
and optically sub-luminous events in completing the inventory of nearby SNe.
| astro-ph.HE | we present the discovery by the spitzer infrared intensive transients survey spirits of a likely supernova sn in ngc 3556 at only 88 mpc which despite its proximity was not detected by optical searches a luminous infrared ir transient at m_45 167 mag vega spirits 16tn is coincident with a dust lane in the inclined starforming disk of the host using ir optical and radio observations we attempt to determine the nature of this event we estimate a_v approx 8 9 mag of extinction placing it among the three most highly obscured irdiscovered sne to date the 45 light curve declined at a rate of 0013 mag day1 and the 36 45 color grew redder from 07 to gtrsim 10 mag by 1847 days post discovery opticalir spectroscopy shows a red continuum but no clearly discernible features preventing a definitive spectroscopic classification deep radio observations constrain the radio luminosity of spirits 16tn to l_nu lesssim 1024 erg s1 hz1 between 3 15 ghz excluding many varieties of radio corecollapse sne a type ia sn is ruled out by the observed red ir color and lack of features normally attributed to fepeak elements in the optical and ir spectra spirits 16tn was fainter at 45 than typical strippedenvelope sne by approx 1 mag comparison of the spectral energy distribution to sne ii suggests spirits 16tn was both highly obscured and intrinsically dim possibly akin to the lowluminosity sn 2005cs we infer the presence of an ir dust echo powered by a peak luminosity of the transient of 5 times 1040 erg s1 l_mathrmpeak 4times1043 erg s1 consistent with the observed range for sne ii this discovery illustrates the power of ir surveys to overcome the compounding effects of visible extinction and optically subluminous events in completing the inventory of nearby sne | [['we', 'present', 'the', 'discovery', 'by', 'the', 'spitzer', 'infrared', 'intensive', 'transients', 'survey', 'spirits', 'of', 'a', 'likely', 'supernova', 'sn', 'in', 'ngc', '3556', 'at', 'only', '88', 'mpc', 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1,803.00575 | Planetesimal formation during protoplanetary disk buildup | Models of dust coagulation and subsequent planetesimal formation are usually
computed on the backdrop of an already fully formed protoplanetary disk model.
At the same time, observational studies suggest that planetesimal formation
should start early, possibly even before the protoplanetary disk is fully
formed. In this paper, we investigate under which conditions planetesimals
already form during the disk buildup stage, in which gas and dust fall onto the
disk from its parent molecular cloud. We couple our earlier planetesimal
formation model at the water snow line to a simple model of disk formation and
evolution. We find that under most conditions planetesimals only form after the
buildup stage when the disk becomes less massive and less hot. However, there
are parameters for which planetesimals already form during the disk buildup.
This occurs when the viscosity driving the disk evolution is intermediate
($\alpha_v \sim 10^{-3}-10^{-2}$) while the turbulent mixing of the dust is
reduced compared to that ($\alpha_t \le 0.03 \cdot \alpha_v$), and with the
assumption that water vapor is vertically well-mixed with the gas. Such
$\alpha_t \ll \alpha_v$ scenario could be expected for layered accretion, where
the gas flow is mostly driven by the active surface layers, while the midplane
layers, where most of the dust resides, are quiescent.
| astro-ph.EP | models of dust coagulation and subsequent planetesimal formation are usually computed on the backdrop of an already fully formed protoplanetary disk model at the same time observational studies suggest that planetesimal formation should start early possibly even before the protoplanetary disk is fully formed in this paper we investigate under which conditions planetesimals already form during the disk buildup stage in which gas and dust fall onto the disk from its parent molecular cloud we couple our earlier planetesimal formation model at the water snow line to a simple model of disk formation and evolution we find that under most conditions planetesimals only form after the buildup stage when the disk becomes less massive and less hot however there are parameters for which planetesimals already form during the disk buildup this occurs when the viscosity driving the disk evolution is intermediate alpha_v sim 103102 while the turbulent mixing of the dust is reduced compared to that alpha_t le 003 cdot alpha_v and with the assumption that water vapor is vertically wellmixed with the gas such alpha_t ll alpha_v scenario could be expected for layered accretion where the gas flow is mostly driven by the active surface layers while the midplane layers where most of the dust resides are quiescent | [['models', 'of', 'dust', 'coagulation', 'and', 'subsequent', 'planetesimal', 'formation', 'are', 'usually', 'computed', 'on', 'the', 'backdrop', 'of', 'an', 'already', 'fully', 'formed', 'protoplanetary', 'disk', 'model', 'at', 'the', 'same', 'time', 'observational', 'studies', 'suggest', 'that', 'planetesimal', 'formation', 'should', 'start', 'early', 'possibly', 'even', 'before', 'the', 'protoplanetary', 'disk', 'is', 'fully', 'formed', 'in', 'this', 'paper', 'we', 'investigate', 'under', 'which', 'conditions', 'planetesimals', 'already', 'form', 'during', 'the', 'disk', 'buildup', 'stage', 'in', 'which', 'gas', 'and', 'dust', 'fall', 'onto', 'the', 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1,803.00576 | Hot subdwarfs formed from the merger of two He white dwarfs | We perform stellar evolution calculations of the remnant of the merger of two
He white dwarfs (WDs). Our initial conditions are taken from hydrodynamic
simulations of double WD mergers and the viscous disc phase that follows. We
evolve these objects from shortly after the merger into their core He-burning
phase, when they appear as hot subdwarf stars. We use our models to quantify
the amount of H that survives the merger, finding that it is difficult for
$\gtrsim 10^{-4}\;{\rm M}_\odot$ of H to survive, with even less being
concentrated in the surface layers of the object. We also study the rotational
evolution of these merger remnants. We find that mass loss over the $\sim
10^4\;\rm yr$ following the merger can significantly reduce the angular
momentum of these objects. As hot subdwarfs, our models have moderate surface
rotation velocities of $30-100\; {\rm km\,s^{-1}}$. The properties of our
models are not representative of many apparently-isolated hot subdwarfs,
suggesting that those objects may form via other channels or that our modelling
is incomplete. However, a sub-population of hot subdwarfs are moderate-to-rapid
rotators and/or have He-rich atmospheres. Our models help to connect the
observed properties of these objects to their progenitor systems.
| astro-ph.SR astro-ph.HE | we perform stellar evolution calculations of the remnant of the merger of two he white dwarfs wds our initial conditions are taken from hydrodynamic simulations of double wd mergers and the viscous disc phase that follows we evolve these objects from shortly after the merger into their core heburning phase when they appear as hot subdwarf stars we use our models to quantify the amount of h that survives the merger finding that it is difficult for gtrsim 104rm m_odot of h to survive with even less being concentrated in the surface layers of the object we also study the rotational evolution of these merger remnants we find that mass loss over the sim 104rm yr following the merger can significantly reduce the angular momentum of these objects as hot subdwarfs our models have moderate surface rotation velocities of 30100 rm kms1 the properties of our models are not representative of many apparentlyisolated hot subdwarfs suggesting that those objects may form via other channels or that our modelling is incomplete however a subpopulation of hot subdwarfs are moderatetorapid rotators andor have herich atmospheres our models help to connect the observed properties of these objects to their progenitor systems | [['we', 'perform', 'stellar', 'evolution', 'calculations', 'of', 'the', 'remnant', 'of', 'the', 'merger', 'of', 'two', 'he', 'white', 'dwarfs', 'wds', 'our', 'initial', 'conditions', 'are', 'taken', 'from', 'hydrodynamic', 'simulations', 'of', 'double', 'wd', 'mergers', 'and', 'the', 'viscous', 'disc', 'phase', 'that', 'follows', 'we', 'evolve', 'these', 'objects', 'from', 'shortly', 'after', 'the', 'merger', 'into', 'their', 'core', 'heburning', 'phase', 'when', 'they', 'appear', 'as', 'hot', 'subdwarf', 'stars', 'we', 'use', 'our', 'models', 'to', 'quantify', 'the', 'amount', 'of', 'h', 'that', 'survives', 'the', 'merger', 'finding', 'that', 'it', 'is', 'difficult', 'for', 'gtrsim', '104rm', 'm_odot', 'of', 'h', 'to', 'survive', 'with', 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1,803.00577 | A Simple Worldsheet Black Hole | We study worldsheet theory of confining strings in two-dimensional massive
adjoint QCD. Similarly to confining strings in higher dimensions this theory
exhibits a non-trivial $S$-matrix surviving even in the strict planar limit. In
the process of two-particle scattering a zigzag is formed on the worldsheet. It
leads to an interesting non-locality and exhibits some properties of a quantum
black hole. Ordinarily, identical quantum particles do not carry identity. On
the worldsheet they acquire off-shell identity due to strings attached.
Identity implies complementarity. We discuss similarities and differences of
the worldsheet scattering with the $T\bar{T}$ deformation. We also propose a
promising candidate for a supersymmetric model with integrable confining
strings.
| hep-th gr-qc hep-lat hep-ph | we study worldsheet theory of confining strings in twodimensional massive adjoint qcd similarly to confining strings in higher dimensions this theory exhibits a nontrivial smatrix surviving even in the strict planar limit in the process of twoparticle scattering a zigzag is formed on the worldsheet it leads to an interesting nonlocality and exhibits some properties of a quantum black hole ordinarily identical quantum particles do not carry identity on the worldsheet they acquire offshell identity due to strings attached identity implies complementarity we discuss similarities and differences of the worldsheet scattering with the tbart deformation we also propose a promising candidate for a supersymmetric model with integrable confining strings | [['we', 'study', 'worldsheet', 'theory', 'of', 'confining', 'strings', 'in', 'twodimensional', 'massive', 'adjoint', 'qcd', 'similarly', 'to', 'confining', 'strings', 'in', 'higher', 'dimensions', 'this', 'theory', 'exhibits', 'a', 'nontrivial', 'smatrix', 'surviving', 'even', 'in', 'the', 'strict', 'planar', 'limit', 'in', 'the', 'process', 'of', 'twoparticle', 'scattering', 'a', 'zigzag', 'is', 'formed', 'on', 'the', 'worldsheet', 'it', 'leads', 'to', 'an', 'interesting', 'nonlocality', 'and', 'exhibits', 'some', 'properties', 'of', 'a', 'quantum', 'black', 'hole', 'ordinarily', 'identical', 'quantum', 'particles', 'do', 'not', 'carry', 'identity', 'on', 'the', 'worldsheet', 'they', 'acquire', 'offshell', 'identity', 'due', 'to', 'strings', 'attached', 'identity', 'implies', 'complementarity', 'we', 'discuss', 'similarities', 'and', 'differences', 'of', 'the', 'worldsheet', 'scattering', 'with', 'the', 'tbart', 'deformation', 'we', 'also', 'propose', 'a', 'promising', 'candidate', 'for', 'a', 'supersymmetric', 'model', 'with', 'integrable', 'confining', 'strings']] | [-0.17740368587178512, 0.2011334561208026, -0.11544751301151487, 0.134436493978808, -0.06803588862392043, -0.19217545307591694, 0.0005858484730380801, 0.33614064363438056, -0.2035852500639104, -0.20437653860025998, 0.011919233437473758, -0.3296710950912002, -0.17403444112064914, 0.07358769864728247, -0.04938824438498518, 0.05168700309624092, 0.04288527339594353, 0.08188684153105688, -0.1281439056951091, -0.23835105784322827, 0.3026678302034804, 0.00719206530489711, 0.27197116350225353, 0.0768069745844589, 0.08957343200678775, 0.05284837084830901, 0.01964205096971346, -0.011872289155464653, -0.10560452970975173, 0.10200473020673481, 0.2098129976438273, 0.01953174817213498, 0.0835835347592899, -0.47193845552862235, -0.17423262174557383, 0.09465663474258207, 0.2065554878230147, 0.16721555212974, -0.05240326473241621, -0.2768936673469773, 0.06166924779739128, -0.1650286546380712, -0.18658698405087884, -0.05585370716690129, 0.025851629742788613, -0.10761598925054962, -0.19962750524581505, 0.09726491552289498, 0.05040209239707628, -0.015366534168464601, -0.021856094761794315, -0.036989427682166114, -0.03000396375176967, 0.07747481223793888, 0.1007691231743676, 0.05568489391963348, 0.13083580914679743, -0.20572766270958434, -0.14417108176959628, 0.3811507465471642, -0.0191701258780486, -0.2452220218854213, 0.2110943624305479, -0.147405139589255, -0.17835563023087628, 0.11465223371521185, 0.10681893637963494, 0.12256960678042485, -0.15139175899574583, 0.20316957641251968, -0.0606362934976201, 0.13781177869425454, 0.13315552232547775, 0.10889237369795185, 0.3367125498635028, 0.1313420251661211, 0.006061774449969787, 0.1907350274588947, -0.031635400215420155, -0.14417527073891748, -0.3804608606946988, -0.14030246266992677, -0.1243352357131523, 0.14969217883267572, -0.12440978038021142, -0.24192272544488175, 0.3152012295269091, 0.1397594268168878, 0.18713865028865156, 0.029139056438665597, 0.19630765255301372, 0.11132939427304979, 0.10094530183240907, 0.02925585745620208, 0.2346449696104824, 0.17916753806959873, 0.07343439386149339, -0.2535992279700046, -0.10339797343716982, 0.1380167036774406] |
1,803.00578 | Exotic $Z_2$ Symmetry Breaking Transitions in 2D Correlated Systems | The Landau paradigm of phase transitions is one of the backbones in critical
phenomena. With a $Z_2$ symmetry, it describes the Ising universality class
whose central charge is one half (c = 1=2) in two spatial dimensions (2D).
Recent experiments in strongly correlated systems, however, suggest intriguing
possibilities beyond the Landau paradigm. We uncover an exotic universality
class of a $Z_2$ symmetry breaking transition with c = 1. It is shown that
fractionalization of discrete symmetry order parameters may realize the exotic
class. In addition to novel critical exponents, we find that the onset of an
order parameter may be super-linear in contrast to the sub-linear onset of the
Ising class. We argue that a super-linear onset of a $Z_2$ order parameter
without breaking a bigger symmetry than $Z_2$ is evidence of exotic phenomena,
and our results are applied to recent experiments in phase transitions at
pseudo-gap temperatures.
| cond-mat.str-el | the landau paradigm of phase transitions is one of the backbones in critical phenomena with a z_2 symmetry it describes the ising universality class whose central charge is one half c 12 in two spatial dimensions 2d recent experiments in strongly correlated systems however suggest intriguing possibilities beyond the landau paradigm we uncover an exotic universality class of a z_2 symmetry breaking transition with c 1 it is shown that fractionalization of discrete symmetry order parameters may realize the exotic class in addition to novel critical exponents we find that the onset of an order parameter may be superlinear in contrast to the sublinear onset of the ising class we argue that a superlinear onset of a z_2 order parameter without breaking a bigger symmetry than z_2 is evidence of exotic phenomena and our results are applied to recent experiments in phase transitions at pseudogap temperatures | [['the', 'landau', 'paradigm', 'of', 'phase', 'transitions', 'is', 'one', 'of', 'the', 'backbones', 'in', 'critical', 'phenomena', 'with', 'a', 'z_2', 'symmetry', 'it', 'describes', 'the', 'ising', 'universality', 'class', 'whose', 'central', 'charge', 'is', 'one', 'half', 'c', '12', 'in', 'two', 'spatial', 'dimensions', '2d', 'recent', 'experiments', 'in', 'strongly', 'correlated', 'systems', 'however', 'suggest', 'intriguing', 'possibilities', 'beyond', 'the', 'landau', 'paradigm', 'we', 'uncover', 'an', 'exotic', 'universality', 'class', 'of', 'a', 'z_2', 'symmetry', 'breaking', 'transition', 'with', 'c', '1', 'it', 'is', 'shown', 'that', 'fractionalization', 'of', 'discrete', 'symmetry', 'order', 'parameters', 'may', 'realize', 'the', 'exotic', 'class', 'in', 'addition', 'to', 'novel', 'critical', 'exponents', 'we', 'find', 'that', 'the', 'onset', 'of', 'an', 'order', 'parameter', 'may', 'be', 'superlinear', 'in', 'contrast', 'to', 'the', 'sublinear', 'onset', 'of', 'the', 'ising', 'class', 'we', 'argue', 'that', 'a', 'superlinear', 'onset', 'of', 'a', 'z_2', 'order', 'parameter', 'without', 'breaking', 'a', 'bigger', 'symmetry', 'than', 'z_2', 'is', 'evidence', 'of', 'exotic', 'phenomena', 'and', 'our', 'results', 'are', 'applied', 'to', 'recent', 'experiments', 'in', 'phase', 'transitions', 'at', 'pseudogap', 'temperatures']] | [-0.18791214432104886, 0.23789381027107656, -0.045987018605706934, 0.07232037315157892, -0.08045086130652934, -0.18652925631095182, 0.03324464896984067, 0.32952180408875853, -0.22277305627637223, -0.2802670305620318, 0.0680566033976765, -0.292646066024134, -0.16750562535471294, 0.117392844172858, 0.02758484287187457, 0.05663059859365952, -0.09002385819841126, -0.005462421747386991, -0.13358859146454002, -0.19613812064069439, 0.30347824635060683, -0.04685964519700214, 0.3161661448467472, 0.07568514382160485, 0.010020545122456061, -0.08164491858460927, 0.09526771817305317, -0.0066818528591770015, -0.17118642468890294, 0.021111592688687043, 0.2317104439238367, -0.026283450411115964, 0.19984200652943898, -0.37515226447929256, -0.2553876268626382, 0.1256928409159515, 0.14968513744908754, 0.14475921125387237, -0.08984882903762946, -0.2965584601600948, 0.07455617520274045, -0.16243928805478428, -0.18527208665251885, -0.07950364594819816, 0.02619344041338318, -0.05992573952981692, -0.2769313975977265, 0.11139446678842507, 0.11069713341716472, 0.06423640121029664, -0.019022404811064368, -0.06255627454781573, -0.03356511516286035, 0.06036757104009492, 0.08307416232148096, 0.0631407089340054, 0.08550668494737618, -0.17796563046461303, -0.19521418198534887, 0.40802578263188877, -0.012181986389344411, -0.1183810527787276, 0.22698965684625588, -0.19345376876578346, -0.2157942756519283, 0.17586270878601767, 0.11928117606304076, 0.0732581962963681, -0.057480080489369034, 0.09396385415640583, -0.027936514079481466, 0.18962506470206666, -0.04954750390965747, 0.03973355828401671, 0.2317867015794634, 0.17387349941857058, 0.08031510666956844, 0.14262084574327, -0.06337510102686843, -0.16456267346104939, -0.3275589343058328, -0.16726865298242297, -0.19200669892757416, 0.05831593657167603, -0.08071639393573891, -0.11955876810510471, 0.4331379187395413, 0.1717994443590638, 0.22774949881299208, -0.014014879852367488, 0.16001327061221923, 0.11377202592908137, 0.09654321618639698, 0.03424683544937879, 0.21975461821779863, 0.0784207979115109, 0.07474025377480645, -0.23552845323407282, 0.032017224131802684, 0.08629140834489914] |
1,803.00579 | Turbulence Closure for Mixing Length Theories | We present an approach to turbulence closure based on mixing length theory
with three-dimensional fluctuations against a two-dimensional background. This
model is intended to be rapidly computable for implementation in stellar
evolution software and to capture a wide range of relevant phenomena with just
a single free parameter, namely the mixing length. We incorporate magnetic,
rotational, baroclinic and buoyancy effects exactly within the formalism of
linear growth theories with nonlinear decay. We treat differential rotation
effects perturbatively in the corotating frame using a novel controlled
approximation which matches the time evolution of the reference frame to
arbitrary order. We then implement this model in an efficient open source code
and discuss the resulting turbulent stresses and transport coefficients. We
demonstrate that this model exhibits convective, baroclinic and shear
instabilities as well as the magnetorotational instability (MRI). It also
exhibits non-linear saturation behaviour, and we use this to extract the
asymptotic scaling of various transport coefficients in physically interesting
limits.
| astro-ph.SR physics.flu-dyn | we present an approach to turbulence closure based on mixing length theory with threedimensional fluctuations against a twodimensional background this model is intended to be rapidly computable for implementation in stellar evolution software and to capture a wide range of relevant phenomena with just a single free parameter namely the mixing length we incorporate magnetic rotational baroclinic and buoyancy effects exactly within the formalism of linear growth theories with nonlinear decay we treat differential rotation effects perturbatively in the corotating frame using a novel controlled approximation which matches the time evolution of the reference frame to arbitrary order we then implement this model in an efficient open source code and discuss the resulting turbulent stresses and transport coefficients we demonstrate that this model exhibits convective baroclinic and shear instabilities as well as the magnetorotational instability mri it also exhibits nonlinear saturation behaviour and we use this to extract the asymptotic scaling of various transport coefficients in physically interesting limits | [['we', 'present', 'an', 'approach', 'to', 'turbulence', 'closure', 'based', 'on', 'mixing', 'length', 'theory', 'with', 'threedimensional', 'fluctuations', 'against', 'a', 'twodimensional', 'background', 'this', 'model', 'is', 'intended', 'to', 'be', 'rapidly', 'computable', 'for', 'implementation', 'in', 'stellar', 'evolution', 'software', 'and', 'to', 'capture', 'a', 'wide', 'range', 'of', 'relevant', 'phenomena', 'with', 'just', 'a', 'single', 'free', 'parameter', 'namely', 'the', 'mixing', 'length', 'we', 'incorporate', 'magnetic', 'rotational', 'baroclinic', 'and', 'buoyancy', 'effects', 'exactly', 'within', 'the', 'formalism', 'of', 'linear', 'growth', 'theories', 'with', 'nonlinear', 'decay', 'we', 'treat', 'differential', 'rotation', 'effects', 'perturbatively', 'in', 'the', 'corotating', 'frame', 'using', 'a', 'novel', 'controlled', 'approximation', 'which', 'matches', 'the', 'time', 'evolution', 'of', 'the', 'reference', 'frame', 'to', 'arbitrary', 'order', 'we', 'then', 'implement', 'this', 'model', 'in', 'an', 'efficient', 'open', 'source', 'code', 'and', 'discuss', 'the', 'resulting', 'turbulent', 'stresses', 'and', 'transport', 'coefficients', 'we', 'demonstrate', 'that', 'this', 'model', 'exhibits', 'convective', 'baroclinic', 'and', 'shear', 'instabilities', 'as', 'well', 'as', 'the', 'magnetorotational', 'instability', 'mri', 'it', 'also', 'exhibits', 'nonlinear', 'saturation', 'behaviour', 'and', 'we', 'use', 'this', 'to', 'extract', 'the', 'asymptotic', 'scaling', 'of', 'various', 'transport', 'coefficients', 'in', 'physically', 'interesting', 'limits']] | [-0.12258892472095366, 0.16043027546187225, -0.0779329810237348, 0.09659244863495067, -0.0832500458173688, -0.10284930758424243, -0.03270717781204027, 0.33034806494431207, -0.32250118211684925, -0.27604388072501, 0.06428020227694614, -0.21695219711605576, -0.13685217100260016, 0.2015191360754576, -0.0031577150949493706, 0.07499360507236993, 0.011021877885737556, -0.024014902306990053, -0.06357626268514227, -0.17039440411184006, 0.2891313493480238, 0.08710500766646187, 0.26197343517047994, 0.01618134257026345, 0.10061516799618425, -0.04336086986293583, -0.01291099967399858, 0.03333006623206929, -0.21617404038091842, 0.037402143179872456, 0.21886712855750215, 0.05263767370942441, 0.23172319243785064, -0.43786016973496983, -0.2524824121867383, 0.016183118070856487, 0.16897426223610792, 0.17198468573353365, -0.037776463519365956, -0.22116717733677077, 0.04126871694186878, -0.19695538953942415, -0.1317503242314143, -0.10704722747634277, 0.025869701621444814, 0.006643536894907296, -0.3084407279607635, 0.1145711957574778, 0.052133473785119656, 0.0769395574974189, -0.09197290516868468, -0.020650310529712237, -0.027198188703173316, 0.09728871618467823, 0.08241376143941691, 0.0226344120060533, 0.14753118384652916, -0.12984553440444688, -0.0565693881509111, 0.39051857349351515, -0.1166005328556804, -0.2373882825486362, 0.188395157123992, -0.15787652074271497, -0.10527271423898872, 0.11652694370468739, 0.21636985579751572, 0.12086434053248321, -0.12988288835300216, 0.050834690792480215, -0.01822509268392463, 0.1736391939364854, 0.05077415338787689, 0.029550119455458608, 0.20774694557049833, 0.20398023805534174, 0.012413309362816548, 0.1466498371270784, -0.10275386723560873, -0.11436244177649606, -0.32447115668101506, -0.10375270213031319, -0.09423636690766182, 0.03490375664301873, -0.07845153222567074, -0.21264394271661932, 0.3909673380237893, 0.2004359911925177, 0.1721736935703904, 0.038845328751031846, 0.31548925848830045, 0.13470761990028216, 0.06026830707541989, 0.13031215401682653, 0.23760397975338893, 0.16237078901415444, 0.0961109647650342, -0.28291203666173814, 0.0441559102069938, 0.0657593859709234] |
1,803.0058 | A limit for large $R$-charge correlators in $\mathcal{N}=2$ theories | Using supersymmetric localization, we study the sector of chiral primary
operators $({\rm Tr} \, \phi^2 )^n$ with large $R$-charge $4n$ in
$\mathcal{N}=2$ four-dimensional superconformal theories in the weak coupling
regime $g\rightarrow 0$, where $\lambda\equiv g^2n$ is kept fixed as
$n\to\infty $, $g$ representing the gauge theory coupling(s). In this limit,
correlation functions $G_{2n}$ of these operators behave in a simple way, with
an asymptotic behavior of the form $G_{2n}\approx F_{\infty}(\lambda)
\left(\frac{\lambda}{2\pi e}\right)^{2n}\ n^\alpha $, modulo $O(1/n)$
corrections, with $\alpha=\frac{1}{2} \mathrm{dim}(\mathfrak{g})$ for a gauge
algebra $\mathfrak{g}$ and a universal function $F_{\infty}(\lambda)$. As a
by-product we find several new formulas both for the partition function as well
as for perturbative correlators in ${\cal N}=2$ $\mathfrak{su}(N)$ gauge theory
with $2N$ fundamental hypermultiplets.
| hep-th | using supersymmetric localization we study the sector of chiral primary operators rm tr phi2 n with large rcharge 4n in mathcaln2 fourdimensional superconformal theories in the weak coupling regime grightarrow 0 where lambdaequiv g2n is kept fixed as ntoinfty g representing the gauge theory couplings in this limit correlation functions g_2n of these operators behave in a simple way with an asymptotic behavior of the form g_2napprox f_inftylambda leftfraclambda2pi eright2n nalpha modulo o1n corrections with alphafrac12 mathrmdimmathfrakg for a gauge algebra mathfrakg and a universal function f_inftylambda as a byproduct we find several new formulas both for the partition function as well as for perturbative correlators in cal n2 mathfraksun gauge theory with 2n fundamental hypermultiplets | [['using', 'supersymmetric', 'localization', 'we', 'study', 'the', 'sector', 'of', 'chiral', 'primary', 'operators', 'rm', 'tr', 'phi2', 'n', 'with', 'large', 'rcharge', '4n', 'in', 'mathcaln2', 'fourdimensional', 'superconformal', 'theories', 'in', 'the', 'weak', 'coupling', 'regime', 'grightarrow', '0', 'where', 'lambdaequiv', 'g2n', 'is', 'kept', 'fixed', 'as', 'ntoinfty', 'g', 'representing', 'the', 'gauge', 'theory', 'couplings', 'in', 'this', 'limit', 'correlation', 'functions', 'g_2n', 'of', 'these', 'operators', 'behave', 'in', 'a', 'simple', 'way', 'with', 'an', 'asymptotic', 'behavior', 'of', 'the', 'form', 'g_2napprox', 'f_inftylambda', 'leftfraclambda2pi', 'eright2n', 'nalpha', 'modulo', 'o1n', 'corrections', 'with', 'alphafrac12', 'mathrmdimmathfrakg', 'for', 'a', 'gauge', 'algebra', 'mathfrakg', 'and', 'a', 'universal', 'function', 'f_inftylambda', 'as', 'a', 'byproduct', 'we', 'find', 'several', 'new', 'formulas', 'both', 'for', 'the', 'partition', 'function', 'as', 'well', 'as', 'for', 'perturbative', 'correlators', 'in', 'cal', 'n2', 'mathfraksun', 'gauge', 'theory', 'with', '2n', 'fundamental', 'hypermultiplets']] | [-0.17865654967555947, 0.2064933272831364, -0.032178697125478224, 0.0829770505724644, -0.015007206588052213, -0.191527559786019, -0.025439778878353535, 0.2944517739286477, -0.18150755025615747, -0.23208319476212969, 0.02764512238367884, -0.3210098948583684, -0.18007209180769596, 0.06789155541072515, 0.007143894786845935, 0.06817737865600396, -0.05676475685640153, 0.10750071440230716, -0.1110384128733792, -0.20390765222466806, 0.28954928306524047, -0.054810899767008696, 0.19068100300871513, 0.05252698069353673, 0.06431724834255874, 0.03673369437667795, 0.08184216396713799, -0.03615406105633486, -0.13216753085143865, 0.032853133426132525, 0.26989328383510425, 0.040051145402883945, 0.15580783560872077, -0.3926289495080709, -0.13502037539252673, 0.13163428531366994, 0.24448191955479243, 0.055342767997221515, 0.003453235196965662, -0.24494034878232263, 0.06266841658758825, -0.21765787854938853, -0.18654881589305164, -0.09994018054567277, 0.049047552444972095, -0.08022214686074718, -0.35195396392690864, 0.07619802083777771, -0.010460662637540901, 0.09019658681513233, -0.0008463883264498277, -0.1389102365377105, -0.06079085994384844, 0.09911488612097773, 0.09671297181524675, 0.10622192523230545, 0.08625931950518861, -0.20941645306196402, -0.11775641659729776, 0.3650994552042737, -0.12271423877894201, -0.2565066653705964, 0.09213945504267361, -0.18244791321498766, -0.25154859697954224, 0.0318970095239241, 0.07311250972773202, 0.21719335466623307, -0.06479431749744849, 0.2900930717920842, -0.07522220830856399, 0.11778426225275987, 0.07744655852121386, 0.08205258243039927, 0.16825452763587237, 0.07998934362549334, 0.06313119539991022, 0.12789795946075835, 0.0638504949610003, -0.061550823895430026, -0.4656514575535601, -0.12259835018353028, -0.13047100891867144, 0.17661512037527494, -0.21196199202558175, -0.18213719480924986, 0.3095347660826519, 0.08738153790208426, 0.20737963367930867, 0.17017429149286314, 0.1704240514642813, 0.16567482951054857, 0.09343107180585238, 0.03991590427150103, 0.15871634739874438, 0.20925357973795722, 0.016898370237851686, -0.2304049733899195, -0.16343258529562843, 0.22009460328316147] |
1,803.00581 | Gas expulsion in highly substructured embedded star clusters | We investigate the response of initially substructured, young, embedded star
clusters to instantaneous gas expulsion of their natal gas. We introduce
primordial substructure to the stars and the gas by simplistically modelling
the star formation process so as to obtain a variety of substructure
distributed within our modelled star forming regions. We show that, by
measuring the virial ratio of the stars alone (disregarding the gas
completely), we can estimate how much mass a star cluster will retain after gas
expulsion to within 10% accuracy, no matter how complex the background
structure of the gas is, and we present a simple analytical recipe describing
this behaviour. We show that the evolution of the star cluster while still
embedded in the natal gas, and the behavior of the gas before being expelled,
are crucial processes that affect the timescale on which the cluster can evolve
into a virialized spherical system. Embedded star clusters that have high
levels of substructure are subvirial for longer times, enabling them to survive
gas expulsion better than a virialized and spherical system. By using a more
realistic treatment for the background gas than our previous studies, we find
it very difficult to destroy the young clusters with instantaneous gas
expulsion. We conclude that gas removal may not be the main culprit for the
dissolution of young star clusters.
| astro-ph.GA astro-ph.SR | we investigate the response of initially substructured young embedded star clusters to instantaneous gas expulsion of their natal gas we introduce primordial substructure to the stars and the gas by simplistically modelling the star formation process so as to obtain a variety of substructure distributed within our modelled star forming regions we show that by measuring the virial ratio of the stars alone disregarding the gas completely we can estimate how much mass a star cluster will retain after gas expulsion to within 10 accuracy no matter how complex the background structure of the gas is and we present a simple analytical recipe describing this behaviour we show that the evolution of the star cluster while still embedded in the natal gas and the behavior of the gas before being expelled are crucial processes that affect the timescale on which the cluster can evolve into a virialized spherical system embedded star clusters that have high levels of substructure are subvirial for longer times enabling them to survive gas expulsion better than a virialized and spherical system by using a more realistic treatment for the background gas than our previous studies we find it very difficult to destroy the young clusters with instantaneous gas expulsion we conclude that gas removal may not be the main culprit for the dissolution of young star clusters | [['we', 'investigate', 'the', 'response', 'of', 'initially', 'substructured', 'young', 'embedded', 'star', 'clusters', 'to', 'instantaneous', 'gas', 'expulsion', 'of', 'their', 'natal', 'gas', 'we', 'introduce', 'primordial', 'substructure', 'to', 'the', 'stars', 'and', 'the', 'gas', 'by', 'simplistically', 'modelling', 'the', 'star', 'formation', 'process', 'so', 'as', 'to', 'obtain', 'a', 'variety', 'of', 'substructure', 'distributed', 'within', 'our', 'modelled', 'star', 'forming', 'regions', 'we', 'show', 'that', 'by', 'measuring', 'the', 'virial', 'ratio', 'of', 'the', 'stars', 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1,803.00582 | 4D Gauge Theories with Conformal Matter | One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a
partial tensor branch, all known theories resemble quiver gauge theories with
links comprised of 6D conformal matter, a generalization of weakly coupled
hypermultiplets. In this paper we construct 4D quiverlike gauge theories in
which the links are obtained from compactifications of 6D conformal matter on
Riemann surfaces with flavor symmetry fluxes. This includes generalizations of
super QCD with exceptional gauge groups and quarks replaced by 4D conformal
matter. Just as in super QCD, we find evidence for a conformal window as well
as confining gauge group factors depending on the total amount of matter. We
also present F-theory realizations of these field theories via elliptically
fibered Calabi-Yau fourfolds. Gauge groups (and flavor symmetries) come from
7-branes wrapped on surfaces, conformal matter localizes at the intersection of
pairs of 7-branes, and Yukawas between 4D conformal matter localize at points
coming from triple intersections of 7-branes. Quantum corrections can also
modify the classical moduli space of the F-theory model, matching expectations
from effective field theory.
| hep-th | one of the hallmarks of 6d superconformal field theories scfts is that on a partial tensor branch all known theories resemble quiver gauge theories with links comprised of 6d conformal matter a generalization of weakly coupled hypermultiplets in this paper we construct 4d quiverlike gauge theories in which the links are obtained from compactifications of 6d conformal matter on riemann surfaces with flavor symmetry fluxes this includes generalizations of super qcd with exceptional gauge groups and quarks replaced by 4d conformal matter just as in super qcd we find evidence for a conformal window as well as confining gauge group factors depending on the total amount of matter we also present ftheory realizations of these field theories via elliptically fibered calabiyau fourfolds gauge groups and flavor symmetries come from 7branes wrapped on surfaces conformal matter localizes at the intersection of pairs of 7branes and yukawas between 4d conformal matter localize at points coming from triple intersections of 7branes quantum corrections can also modify the classical moduli space of the ftheory model matching expectations from effective field theory | [['one', 'of', 'the', 'hallmarks', 'of', '6d', 'superconformal', 'field', 'theories', 'scfts', 'is', 'that', 'on', 'a', 'partial', 'tensor', 'branch', 'all', 'known', 'theories', 'resemble', 'quiver', 'gauge', 'theories', 'with', 'links', 'comprised', 'of', '6d', 'conformal', 'matter', 'a', 'generalization', 'of', 'weakly', 'coupled', 'hypermultiplets', 'in', 'this', 'paper', 'we', 'construct', '4d', 'quiverlike', 'gauge', 'theories', 'in', 'which', 'the', 'links', 'are', 'obtained', 'from', 'compactifications', 'of', '6d', 'conformal', 'matter', 'on', 'riemann', 'surfaces', 'with', 'flavor', 'symmetry', 'fluxes', 'this', 'includes', 'generalizations', 'of', 'super', 'qcd', 'with', 'exceptional', 'gauge', 'groups', 'and', 'quarks', 'replaced', 'by', '4d', 'conformal', 'matter', 'just', 'as', 'in', 'super', 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1,803.00583 | In-field entanglement distribution over a 96 km-long submarine optical
fibre | Techniques for the distribution of quantum-secured cryptographic keys have
reached a level of maturity allowing them to be implemented in all kinds of
environments, away from any form of laboratory infrastructure. Here, we detail
the distribution of entanglement between Malta and Sicily over a 96 km-long
submarine telecommunications optical fibre cable. We used this standard
telecommunications fibre as a quantum channel to distribute
polarisation-entangled photons and were able to observe around 257 photon pairs
per second, with a polarisation visibility above 90%. Our experiment
demonstrates the feasibility of using deployed submarine telecommunications
optical fibres as long-distance quantum channels for polarisation-entangled
photons. This opens up a plethora of possibilities for future experiments and
technological applications using existing infrastructure.
| quant-ph | techniques for the distribution of quantumsecured cryptographic keys have reached a level of maturity allowing them to be implemented in all kinds of environments away from any form of laboratory infrastructure here we detail the distribution of entanglement between malta and sicily over a 96 kmlong submarine telecommunications optical fibre cable we used this standard telecommunications fibre as a quantum channel to distribute polarisationentangled photons and were able to observe around 257 photon pairs per second with a polarisation visibility above 90 our experiment demonstrates the feasibility of using deployed submarine telecommunications optical fibres as longdistance quantum channels for polarisationentangled photons this opens up a plethora of possibilities for future experiments and technological applications using existing infrastructure | [['techniques', 'for', 'the', 'distribution', 'of', 'quantumsecured', 'cryptographic', 'keys', 'have', 'reached', 'a', 'level', 'of', 'maturity', 'allowing', 'them', 'to', 'be', 'implemented', 'in', 'all', 'kinds', 'of', 'environments', 'away', 'from', 'any', 'form', 'of', 'laboratory', 'infrastructure', 'here', 'we', 'detail', 'the', 'distribution', 'of', 'entanglement', 'between', 'malta', 'and', 'sicily', 'over', 'a', '96', 'kmlong', 'submarine', 'telecommunications', 'optical', 'fibre', 'cable', 'we', 'used', 'this', 'standard', 'telecommunications', 'fibre', 'as', 'a', 'quantum', 'channel', 'to', 'distribute', 'polarisationentangled', 'photons', 'and', 'were', 'able', 'to', 'observe', 'around', '257', 'photon', 'pairs', 'per', 'second', 'with', 'a', 'polarisation', 'visibility', 'above', '90', 'our', 'experiment', 'demonstrates', 'the', 'feasibility', 'of', 'using', 'deployed', 'submarine', 'telecommunications', 'optical', 'fibres', 'as', 'longdistance', 'quantum', 'channels', 'for', 'polarisationentangled', 'photons', 'this', 'opens', 'up', 'a', 'plethora', 'of', 'possibilities', 'for', 'future', 'experiments', 'and', 'technological', 'applications', 'using', 'existing', 'infrastructure']] | [-0.1332376562934528, 0.118386999437283, -0.045112124711880065, -0.009288069282650437, -0.007376168607773944, -0.1648841016113949, 0.1070553187169453, 0.4133202374761558, -0.2432690614468267, -0.2974731601559772, 0.092375246500477, -0.293056098680593, -0.06654978905402474, 0.30216877055394215, -0.03377594146877527, 0.10734444750377382, 0.050294122497977004, -0.03458682840100975, -0.0014275101714461055, -0.21659348361417013, 0.22866735630469698, 0.05230621811058213, 0.33159244747068256, 0.08020088070820476, 0.131826411630226, 0.01846086758817745, -0.006169627770845197, -0.07950003755589326, -0.07407921302091514, 0.1507611209815209, 0.32086244051575535, 0.12994190314625445, 0.2554397196479094, -0.4086057363221279, -0.20359984836859518, 0.13566268540313867, 0.11645888522840463, 0.09169441615589537, -0.02797017614237773, -0.29995635428274864, 0.06259410491792294, -0.23114293296304014, -0.1538965732464169, -0.02521522256394482, -0.027353447599288743, 0.033344654123593345, -0.21309326893578356, -0.02087892648469434, -0.06484245687014718, 0.0969596642236679, 0.05512990090104505, -0.059297967765830524, 0.014402492304181313, 0.1693912966328108, -0.07997304793550736, -0.005820100524803051, 0.18053002312429187, -0.13937776916188738, -0.15689890033716702, 0.37992550642826617, -0.07661214203406604, -0.09580597763833328, 0.16325527461570027, -0.11568441599384587, -0.07673375021554849, 0.11859589216546115, 0.20330640434040728, 0.05250601659918952, -0.1568317162559535, 0.01287577527975186, 0.013034073850856377, 0.17669768391065618, 0.13886460145879695, 0.11580573582751119, 0.23716767641723666, 0.19218557151273274, 0.029105675922165442, 0.1343286324911313, -0.14243734109590556, -0.07686928543461184, -0.2814277710281631, -0.19462491153803074, -0.1424239744943702, 0.09176548585120557, -0.03594220175696875, -0.059847227424897086, 0.3678262909440499, 0.16762473108644924, 0.1240974175146757, 0.034389535239778266, 0.3342111637063611, 0.005570577229691558, 0.12891301708534741, 0.07487719354784897, 0.2727941300284165, 0.09402153979087424, 0.1602813127185974, -0.1193579930136016, -0.0005853550098677222, -0.06770415066017045] |
1,803.00584 | The Parker Instability with Cosmic Ray Streaming | Recent studies have found that cosmic ray transport plays an important role
in feedback processes such as star formation and the launching of galactic
winds. Although cosmic ray buoyancy is widely held to be a destabilizing force
in galactic disks, the effect of cosmic ray transport on the stability of
stratified systems has yet to be analyzed. We perform a stability analysis of a
stratified layer for three different cosmic ray transport models: decoupled
(Classic Parker), coupled with $\gamma_c=4/3$ but not streaming (Modified
Parker), and finally coupled with streaming at the Alfv\'{e}n speed. When the
compressibility of the cosmic rays is decreased the system becomes much more
stable, but the addition of cosmic ray streaming to the Parker Instability
severely destabilizes it. Through comparison of these three cases and analysis
of the work contributions for the perturbed quantities of each system, we
demonstrate that cosmic ray heating of the gas is responsible for the
destabilization of the system. We find that a 3D system is unstable over a
larger range of wavelengths than the 2D system. Therefore, the Parker
Instability with cosmic ray streaming may play an important role in cosmic ray
feedback.
| astro-ph.HE | recent studies have found that cosmic ray transport plays an important role in feedback processes such as star formation and the launching of galactic winds although cosmic ray buoyancy is widely held to be a destabilizing force in galactic disks the effect of cosmic ray transport on the stability of stratified systems has yet to be analyzed we perform a stability analysis of a stratified layer for three different cosmic ray transport models decoupled classic parker coupled with gamma_c43 but not streaming modified parker and finally coupled with streaming at the alfven speed when the compressibility of the cosmic rays is decreased the system becomes much more stable but the addition of cosmic ray streaming to the parker instability severely destabilizes it through comparison of these three cases and analysis of the work contributions for the perturbed quantities of each system we demonstrate that cosmic ray heating of the gas is responsible for the destabilization of the system we find that a 3d system is unstable over a larger range of wavelengths than the 2d system therefore the parker instability with cosmic ray streaming may play an important role in cosmic ray feedback | [['recent', 'studies', 'have', 'found', 'that', 'cosmic', 'ray', 'transport', 'plays', 'an', 'important', 'role', 'in', 'feedback', 'processes', 'such', 'as', 'star', 'formation', 'and', 'the', 'launching', 'of', 'galactic', 'winds', 'although', 'cosmic', 'ray', 'buoyancy', 'is', 'widely', 'held', 'to', 'be', 'a', 'destabilizing', 'force', 'in', 'galactic', 'disks', 'the', 'effect', 'of', 'cosmic', 'ray', 'transport', 'on', 'the', 'stability', 'of', 'stratified', 'systems', 'has', 'yet', 'to', 'be', 'analyzed', 'we', 'perform', 'a', 'stability', 'analysis', 'of', 'a', 'stratified', 'layer', 'for', 'three', 'different', 'cosmic', 'ray', 'transport', 'models', 'decoupled', 'classic', 'parker', 'coupled', 'with', 'gamma_c43', 'but', 'not', 'streaming', 'modified', 'parker', 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1,803.00585 | A Direct Approach for the Fluctuation-Dissipation Theorem under
Non-Equilibrium Steady-State Conditions | The test mass suspensions of cryogenic gravitational-wave detectors such as
the KAGRA project are tasked with extracting the heat deposited on the optics.
Thus these suspensions have a non-uniform temperature, requiring the
calculation of thermal noise in non-equilibrium conditions. While it is not
possible to describe the whole suspension system with one temperature, the
local temperature anywhere in the system is still well defined. We therefore
generalize the application of the fluctuation-dissipation theorem to mechanical
systems, pioneered by Saulson and Levin, to non-equilibrium conditions in which
a temperature can only be defined locally. The result is intuitive in the sense
that the temperature-averaging relevant for the thermal noise in the observed
degree of freedom is given by averaging the temperature field, weighted by the
dissipation density associated with that particular degree of freedom. After
proving this theorem we apply the result to examples of increasing complexity:
a simple spring, the bending of a pendulum suspension fiber, as well as a model
of the KAGRA cryogenic suspension. We conclude by outlining the application to
non-equilibrium thermo-elastic noise.
| gr-qc physics.ins-det | the test mass suspensions of cryogenic gravitationalwave detectors such as the kagra project are tasked with extracting the heat deposited on the optics thus these suspensions have a nonuniform temperature requiring the calculation of thermal noise in nonequilibrium conditions while it is not possible to describe the whole suspension system with one temperature the local temperature anywhere in the system is still well defined we therefore generalize the application of the fluctuationdissipation theorem to mechanical systems pioneered by saulson and levin to nonequilibrium conditions in which a temperature can only be defined locally the result is intuitive in the sense that the temperatureaveraging relevant for the thermal noise in the observed degree of freedom is given by averaging the temperature field weighted by the dissipation density associated with that particular degree of freedom after proving this theorem we apply the result to examples of increasing complexity a simple spring the bending of a pendulum suspension fiber as well as a model of the kagra cryogenic suspension we conclude by outlining the application to nonequilibrium thermoelastic noise | [['the', 'test', 'mass', 'suspensions', 'of', 'cryogenic', 'gravitationalwave', 'detectors', 'such', 'as', 'the', 'kagra', 'project', 'are', 'tasked', 'with', 'extracting', 'the', 'heat', 'deposited', 'on', 'the', 'optics', 'thus', 'these', 'suspensions', 'have', 'a', 'nonuniform', 'temperature', 'requiring', 'the', 'calculation', 'of', 'thermal', 'noise', 'in', 'nonequilibrium', 'conditions', 'while', 'it', 'is', 'not', 'possible', 'to', 'describe', 'the', 'whole', 'suspension', 'system', 'with', 'one', 'temperature', 'the', 'local', 'temperature', 'anywhere', 'in', 'the', 'system', 'is', 'still', 'well', 'defined', 'we', 'therefore', 'generalize', 'the', 'application', 'of', 'the', 'fluctuationdissipation', 'theorem', 'to', 'mechanical', 'systems', 'pioneered', 'by', 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1,803.00586 | The information and wave-theoretic limits of analog beamforming | The performance of broadband millimeter-wave (mmWave) RF architectures, is
generally determined by mathematical concepts such as the Shannon capacity.
These systems have also to obey physical laws such as the conservation of
energy and the propagation laws. Taking the physical and hardware limitations
into account is crucial for characterizing the actual performance of mmWave
systems under certain architecture such as analog beamforming. In this context,
we consider a broadband frequency dependent array model that explicitly
includes incremental time shifts instead of phase shifts between the individual
antennas and incorporates a physically defined radiated power. As a consequence
of this model, we present a novel joint approach for designing the optimal
waveform and beamforming vector for analog beamforming. Our results show that,
for sufficiently large array size, the achievable rate is mainly limited by the
fundamental trade-off between the analog beamforming gain and signal bandwidth.
| cs.IT math.IT | the performance of broadband millimeterwave mmwave rf architectures is generally determined by mathematical concepts such as the shannon capacity these systems have also to obey physical laws such as the conservation of energy and the propagation laws taking the physical and hardware limitations into account is crucial for characterizing the actual performance of mmwave systems under certain architecture such as analog beamforming in this context we consider a broadband frequency dependent array model that explicitly includes incremental time shifts instead of phase shifts between the individual antennas and incorporates a physically defined radiated power as a consequence of this model we present a novel joint approach for designing the optimal waveform and beamforming vector for analog beamforming our results show that for sufficiently large array size the achievable rate is mainly limited by the fundamental tradeoff between the analog beamforming gain and signal bandwidth | [['the', 'performance', 'of', 'broadband', 'millimeterwave', 'mmwave', 'rf', 'architectures', 'is', 'generally', 'determined', 'by', 'mathematical', 'concepts', 'such', 'as', 'the', 'shannon', 'capacity', 'these', 'systems', 'have', 'also', 'to', 'obey', 'physical', 'laws', 'such', 'as', 'the', 'conservation', 'of', 'energy', 'and', 'the', 'propagation', 'laws', 'taking', 'the', 'physical', 'and', 'hardware', 'limitations', 'into', 'account', 'is', 'crucial', 'for', 'characterizing', 'the', 'actual', 'performance', 'of', 'mmwave', 'systems', 'under', 'certain', 'architecture', 'such', 'as', 'analog', 'beamforming', 'in', 'this', 'context', 'we', 'consider', 'a', 'broadband', 'frequency', 'dependent', 'array', 'model', 'that', 'explicitly', 'includes', 'incremental', 'time', 'shifts', 'instead', 'of', 'phase', 'shifts', 'between', 'the', 'individual', 'antennas', 'and', 'incorporates', 'a', 'physically', 'defined', 'radiated', 'power', 'as', 'a', 'consequence', 'of', 'this', 'model', 'we', 'present', 'a', 'novel', 'joint', 'approach', 'for', 'designing', 'the', 'optimal', 'waveform', 'and', 'beamforming', 'vector', 'for', 'analog', 'beamforming', 'our', 'results', 'show', 'that', 'for', 'sufficiently', 'large', 'array', 'size', 'the', 'achievable', 'rate', 'is', 'mainly', 'limited', 'by', 'the', 'fundamental', 'tradeoff', 'between', 'the', 'analog', 'beamforming', 'gain', 'and', 'signal', 'bandwidth']] | [-0.20599795434261775, 0.08431458214019788, -0.01186719210980098, 0.03577339852361345, -0.09357007136309727, -0.1668803352384, 0.08070258819013058, 0.3865805430767877, -0.26320399830971536, -0.2905311173138519, 0.10704188325568491, -0.1935735815431043, -0.21587825254957554, 0.21334276708269803, -0.06311872185324319, 0.09392724178421001, 0.023256669535637937, -0.02729955857042417, -0.04375712592526623, -0.1494909424299193, 0.2816674550316141, 0.1300262256538392, 0.37633856699620893, 0.017090795346222067, 0.14190321117186816, 0.023952745770252984, -0.015333357250912942, -0.02290455108353247, -0.09323558227060857, 0.09155121719312673, 0.3054820658095802, 0.1752955544507131, 0.247582074002518, -0.4018305749632418, -0.27024070539563483, 0.09386493050907221, 0.14092163707310748, 0.06604189868085086, -0.053153656772337854, -0.24186298350913502, 0.08668624090690476, -0.2070174873741861, -0.06204523553606123, -0.025056999758817255, -0.022366486244007118, 0.08559271804470983, -0.3042850490411284, 0.04915036865612718, 0.06639796899819178, 0.040004353090706796, -0.0697677671269048, -0.13935684175764132, 0.03214453851655384, 0.15867044506295416, -0.004981008420549592, -0.03837577857322887, 0.08129237923195534, -0.08894425152943262, -0.08395416875888866, 0.39676211620422286, -0.005876649597161708, -0.24972187776580135, 0.13986992315201657, -0.09560691039526621, -0.08849552372056577, 0.12026899550215199, 0.23907728205368686, 0.020019961579237133, -0.1737817267445886, 0.04957224551091915, 0.01444860452061726, 0.17575180046131006, 0.06049007089718038, 0.16980291007267725, 0.22654857236516868, 0.2079113627745149, 0.09345173738256563, 0.1536166144716036, -0.10819185791196004, -0.0828972562837104, -0.2759382130849796, -0.11388303989790277, -0.23686956274711216, 0.04855857326765545, -0.11208669587712292, -0.08777025096403829, 0.36996455835954595, 0.1491677199960072, 0.1393808102422756, 0.10847942638146277, 0.39960874239396715, 0.15314976106714717, 0.08643087347283857, 0.07409342298504068, 0.24536000656856535, 0.12154288006260888, 0.15086597173164287, -0.22469054962857626, 0.017503534931974072, 0.0020709408353367406] |
1,803.00587 | Reduced decoherence using squeezing, amplification, and anti-squeezing | Loss and decoherence are a major problem in the transmission of non-classical
states of light over large distances. It was recently shown that the effects of
decoherence can be reduced by applying a probabilistic noiseless attenuator
before transmitting a quantum state through a lossy channel, followed by
probabilistic noiseless amplification (M. Micuda et al, Phys. Rev. Lett. 109,
180503 (2012)). Here we show that similar results can be obtained for certain
kinds of macroscopic quantum states by squeezing the signal before
transmission, followed by deterministic amplification and anti-squeezing to
restore the original amplitude of the state. This approach can greatly reduce
the effects of decoherence in the transmission of non-Gaussian states, such
Schrodinger cat states, without any reduction in the data transmission rate.
| quant-ph | loss and decoherence are a major problem in the transmission of nonclassical states of light over large distances it was recently shown that the effects of decoherence can be reduced by applying a probabilistic noiseless attenuator before transmitting a quantum state through a lossy channel followed by probabilistic noiseless amplification m micuda et al phys rev lett 109 180503 2012 here we show that similar results can be obtained for certain kinds of macroscopic quantum states by squeezing the signal before transmission followed by deterministic amplification and antisqueezing to restore the original amplitude of the state this approach can greatly reduce the effects of decoherence in the transmission of nongaussian states such schrodinger cat states without any reduction in the data transmission rate | [['loss', 'and', 'decoherence', 'are', 'a', 'major', 'problem', 'in', 'the', 'transmission', 'of', 'nonclassical', 'states', 'of', 'light', 'over', 'large', 'distances', 'it', 'was', 'recently', 'shown', 'that', 'the', 'effects', 'of', 'decoherence', 'can', 'be', 'reduced', 'by', 'applying', 'a', 'probabilistic', 'noiseless', 'attenuator', 'before', 'transmitting', 'a', 'quantum', 'state', 'through', 'a', 'lossy', 'channel', 'followed', 'by', 'probabilistic', 'noiseless', 'amplification', 'm', 'micuda', 'et', 'al', 'phys', 'rev', 'lett', '109', '180503', '2012', 'here', 'we', 'show', 'that', 'similar', 'results', 'can', 'be', 'obtained', 'for', 'certain', 'kinds', 'of', 'macroscopic', 'quantum', 'states', 'by', 'squeezing', 'the', 'signal', 'before', 'transmission', 'followed', 'by', 'deterministic', 'amplification', 'and', 'antisqueezing', 'to', 'restore', 'the', 'original', 'amplitude', 'of', 'the', 'state', 'this', 'approach', 'can', 'greatly', 'reduce', 'the', 'effects', 'of', 'decoherence', 'in', 'the', 'transmission', 'of', 'nongaussian', 'states', 'such', 'schrodinger', 'cat', 'states', 'without', 'any', 'reduction', 'in', 'the', 'data', 'transmission', 'rate']] | [-0.1197385434359543, 0.19003493385004602, -0.06175278710328381, -0.015771196424876423, 0.006971055630225042, -0.16375797655248692, 0.09666184220301403, 0.31971282674738566, -0.269211148081178, -0.28800944118829797, 0.057057477459734815, -0.2481008502154434, -0.1611224353382718, 0.2258662148705907, -0.11500794501313247, 0.1330550742828218, 0.0795356058582956, -0.017248844142910863, -0.042929274276329955, -0.2966760686956623, 0.2549910315539503, 0.09742194052962663, 0.32180204358305936, 0.01639221899196013, 0.08884125414847065, 0.06204403741747018, 0.012864690054639066, -0.01616778405006082, -0.08003807633844386, 0.012788261253240495, 0.25040854391649614, 0.14154071240658941, 0.27637447875516474, -0.44452396466219724, -0.308756888880633, 0.09898086435119198, 0.10849761273634952, 0.22555495466082548, -0.008275515852065003, -0.3869874796499152, 0.049573628703316996, -0.18565280239043896, -0.0717026645862228, -0.06471409187228842, 0.027684167081351616, -0.031795447372854495, -0.2836209759039204, 0.15743346165188335, 0.059910222264545517, 0.006356212025708403, 0.02288341160078556, -0.028066478796641935, -0.024182794015269633, 0.05079323168284036, -0.07518489117164565, -0.004128686548787947, 0.11834932412482675, -0.1002056767013355, -0.16488160395586848, 0.2988892402345977, -0.07861769465683413, -0.1582190889541891, 0.134054944523868, -0.09205774662338874, -0.028929353547321002, 0.15675054716854547, 0.14777692332325026, 0.06770379536146344, -0.1601496554895743, 0.0447481301534259, -0.021879912273234818, 0.18000751987199706, 0.14138723919091145, 0.11613803020532219, 0.136279585442221, 0.08313048156199607, 0.026322711982633456, 0.1669570197921808, -0.10445892568562211, -0.09062790485485726, -0.2831783860013628, -0.1532596975280172, -0.2299274998786282, 0.1353391741637202, -0.02439789347372726, -0.06041822798068112, 0.38987765218754694, 0.14322187895078428, 0.2113042449701793, -0.009068841895873635, 0.30039027145455693, 0.1683413471472411, 0.025087835938257957, 0.10826025589192209, 0.29061113836432323, 0.1696871460092154, 0.05404361236497975, -0.28053303118333345, 0.07732297677531345, -0.030951530434006502] |
1,803.00588 | Precision constraints on radiative neutrino decay with CMB spectral
distortion | We investigate the radiative decay of the cosmic neutrino background, and its
impact on the spectrum of the cosmic microwave background (CMB) that is known
to be a nearly perfect black body. We derive exact formulae for the decay of a
heavier neutrino into a lighter neutrino and a photon, $\nu_j \to \nu_i +
\gamma$, and of absorption as its inverse, $\nu_i + \gamma \to \nu_j$, by
accounting for the precise form of the neutrino momentum distribution. Our
calculations show that if the neutrinos are heavier than $\mathcal O(0.1)$ eV,
the exact formulae give results that differ by $\sim$50%, compared with
approximate ones where neutrinos are assumed to be at rest. We also find that
spectral distortion due to absorption is more important for heavy neutrino
masses (by a factor of $\sim$10 going from a neutrino mass of 0.01 eV to 0.1
eV). By analyzing the CMB spectral data measured with COBE-FIRAS, we obtain
lower limits on the neutrino lifetime of $\tau_{12} \gtrsim 4 \times 10^{21}$ s
(95% C.L.) for the smaller mass splitting and $\tau_{13} \sim \tau_{23} \gtrsim
10^{19}$ s for the larger mass splitting. These represent up to one order of
magnitude improvement over previous CMB constraints. With future CMB
experiments such as PIXIE, these limits will improve by roughly 4 orders of
magnitude. This translates to a projected upper limit on the neutrino magnetic
moment (for certain neutrino masses and decay modes) of $\mu_\nu < 3 \times
10^{-11}\, \mu_B$, where $\mu_B$ is the Bohr magneton. Such constraints would
make future precision CMB measurements competitive with lab-based constraints
on neutrino magnetic moments.
| astro-ph.CO hep-ph | we investigate the radiative decay of the cosmic neutrino background and its impact on the spectrum of the cosmic microwave background cmb that is known to be a nearly perfect black body we derive exact formulae for the decay of a heavier neutrino into a lighter neutrino and a photon nu_j to nu_i gamma and of absorption as its inverse nu_i gamma to nu_j by accounting for the precise form of the neutrino momentum distribution our calculations show that if the neutrinos are heavier than mathcal o01 ev the exact formulae give results that differ by sim50 compared with approximate ones where neutrinos are assumed to be at rest we also find that spectral distortion due to absorption is more important for heavy neutrino masses by a factor of sim10 going from a neutrino mass of 001 ev to 01 ev by analyzing the cmb spectral data measured with cobefiras we obtain lower limits on the neutrino lifetime of tau_12 gtrsim 4 times 1021 s 95 cl for the smaller mass splitting and tau_13 sim tau_23 gtrsim 1019 s for the larger mass splitting these represent up to one order of magnitude improvement over previous cmb constraints with future cmb experiments such as pixie these limits will improve by roughly 4 orders of magnitude this translates to a projected upper limit on the neutrino magnetic moment for certain neutrino masses and decay modes of mu_nu 3 times 1011 mu_b where mu_b is the bohr magneton such constraints would make future precision cmb measurements competitive with labbased constraints on neutrino magnetic moments | [['we', 'investigate', 'the', 'radiative', 'decay', 'of', 'the', 'cosmic', 'neutrino', 'background', 'and', 'its', 'impact', 'on', 'the', 'spectrum', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'that', 'is', 'known', 'to', 'be', 'a', 'nearly', 'perfect', 'black', 'body', 'we', 'derive', 'exact', 'formulae', 'for', 'the', 'decay', 'of', 'a', 'heavier', 'neutrino', 'into', 'a', 'lighter', 'neutrino', 'and', 'a', 'photon', 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-0.007031602095039453, 0.02671265961875614] |
1,803.00589 | Observation of Dirac state in half-Heusler material YPtBi | The prediction of non-trivial topological electronic states hosted by
half-Heusler compounds makes them prime candidates for discovering new physics
and devices as they harbor a variety of electronic ground states including
superconductivity, magnetism, and heavy fermion behavior. Here we report normal
state electronic properties of a superconducting half-Heusler compound YPtBi
using angle-resolved photoemission spectroscopy (ARPES). Our data reveal the
presence of a Dirac state at the zone center of the Brillouin zone at 500 meV
below the chemical potential. We observe the presence of multiple Fermi surface
pockets including two concentric hexagonal and six half oval shaped pockets at
the gamma and K points of the Brillouin zone, respectively. Furthermore, our
measurements show Rashba-split bands and multiple surface states crossing the
chemical potential which are supported by the first-principles calculations.
Our finding of a Dirac state in YPtBi plays a significant role in establishing
half-Heusler compounds as a new potential platform for novel topological phases
and explore their connection with superconductivity.
| cond-mat.mes-hall cond-mat.mtrl-sci | the prediction of nontrivial topological electronic states hosted by halfheusler compounds makes them prime candidates for discovering new physics and devices as they harbor a variety of electronic ground states including superconductivity magnetism and heavy fermion behavior here we report normal state electronic properties of a superconducting halfheusler compound yptbi using angleresolved photoemission spectroscopy arpes our data reveal the presence of a dirac state at the zone center of the brillouin zone at 500 mev below the chemical potential we observe the presence of multiple fermi surface pockets including two concentric hexagonal and six half oval shaped pockets at the gamma and k points of the brillouin zone respectively furthermore our measurements show rashbasplit bands and multiple surface states crossing the chemical potential which are supported by the firstprinciples calculations our finding of a dirac state in yptbi plays a significant role in establishing halfheusler compounds as a new potential platform for novel topological phases and explore their connection with superconductivity | [['the', 'prediction', 'of', 'nontrivial', 'topological', 'electronic', 'states', 'hosted', 'by', 'halfheusler', 'compounds', 'makes', 'them', 'prime', 'candidates', 'for', 'discovering', 'new', 'physics', 'and', 'devices', 'as', 'they', 'harbor', 'a', 'variety', 'of', 'electronic', 'ground', 'states', 'including', 'superconductivity', 'magnetism', 'and', 'heavy', 'fermion', 'behavior', 'here', 'we', 'report', 'normal', 'state', 'electronic', 'properties', 'of', 'a', 'superconducting', 'halfheusler', 'compound', 'yptbi', 'using', 'angleresolved', 'photoemission', 'spectroscopy', 'arpes', 'our', 'data', 'reveal', 'the', 'presence', 'of', 'a', 'dirac', 'state', 'at', 'the', 'zone', 'center', 'of', 'the', 'brillouin', 'zone', 'at', '500', 'mev', 'below', 'the', 'chemical', 'potential', 'we', 'observe', 'the', 'presence', 'of', 'multiple', 'fermi', 'surface', 'pockets', 'including', 'two', 'concentric', 'hexagonal', 'and', 'six', 'half', 'oval', 'shaped', 'pockets', 'at', 'the', 'gamma', 'and', 'k', 'points', 'of', 'the', 'brillouin', 'zone', 'respectively', 'furthermore', 'our', 'measurements', 'show', 'rashbasplit', 'bands', 'and', 'multiple', 'surface', 'states', 'crossing', 'the', 'chemical', 'potential', 'which', 'are', 'supported', 'by', 'the', 'firstprinciples', 'calculations', 'our', 'finding', 'of', 'a', 'dirac', 'state', 'in', 'yptbi', 'plays', 'a', 'significant', 'role', 'in', 'establishing', 'halfheusler', 'compounds', 'as', 'a', 'new', 'potential', 'platform', 'for', 'novel', 'topological', 'phases', 'and', 'explore', 'their', 'connection', 'with', 'superconductivity']] | [-0.2172364151591192, 0.1860463523764383, -0.05341114410523163, 0.018534414030565237, -0.045491062135975056, -0.14005938063300452, 0.197581462389992, 0.3579308715365503, -0.25423734867366854, -0.31084799364509974, -0.018771582637387124, -0.4141805879308941, -0.14843289423965333, 0.18201408026630048, 0.09841162843560303, 0.028760496973817856, 0.009711658767198924, -0.07814883218169999, -0.1345651251305855, -0.19334390582834038, 0.35811968560775986, 0.012408429351837738, 0.2938178719125503, 0.1079024505680022, 0.006978141841686892, -0.02005616584156426, 0.1213851246407244, -0.042570472180102924, -0.1329047068554376, 0.07925646306884689, 0.3093987100263074, -0.11692853415419596, 0.20126340725684758, -0.4334739624458996, -0.25204361149728854, -0.004314983188411834, 0.10141608006210986, 0.08327886247964032, -0.15550169652987342, -0.3138262069558505, 0.08026143333220982, -0.12348346251658864, -0.17962009904706222, -0.13970502938349263, -0.04312786653418071, -0.07570421726223059, -0.16206977383945115, 0.071266998425531, -0.02949123841317035, 0.12309602589102611, -0.13676879018581667, -0.17400361330288908, -0.11826723835847532, 0.04985805558436984, 0.009146255759163674, 0.019078156028683325, 0.12794990040508666, -0.10064395830076425, -0.14402345219418777, 0.38616042247516397, -0.03120792659233839, -0.02061618473351881, 0.188266406320209, -0.1890746577721854, -0.10771261705432712, 0.15134023247656891, 0.11164982506993765, 0.09502188859345473, -0.09797870387830801, 0.08598384442985035, -0.04513298926867041, 0.11725678019947228, 0.028692154153047697, 0.12885861432899992, 0.3204880613278343, 0.20793872463707783, 0.022025469950868848, 0.08672362538228123, -0.2009548059672259, -0.013508787218145794, -0.2291526928123214, -0.22608450355632984, -0.21687606003667628, 0.0307418754749486, -0.03161227893064764, -0.2012275206879568, 0.4461870020586616, 0.07885828782494833, 0.1959568180161187, -0.10169233027223776, 0.1892192005743822, 0.030169764895177222, 0.064748143822082, 0.07907979831501541, 0.2196333891370837, 0.13181009589439918, 0.06849374054346859, -0.2711768883211041, 0.057574922726518526, -0.011729760407846167] |
1,803.0059 | Hierarchical Imitation and Reinforcement Learning | We study how to effectively leverage expert feedback to learn sequential
decision-making policies. We focus on problems with sparse rewards and long
time horizons, which typically pose significant challenges in reinforcement
learning. We propose an algorithmic framework, called hierarchical guidance,
that leverages the hierarchical structure of the underlying problem to
integrate different modes of expert interaction. Our framework can incorporate
different combinations of imitation learning (IL) and reinforcement learning
(RL) at different levels, leading to dramatic reductions in both expert effort
and cost of exploration. Using long-horizon benchmarks, including Montezuma's
Revenge, we demonstrate that our approach can learn significantly faster than
hierarchical RL, and be significantly more label-efficient than standard IL. We
also theoretically analyze labeling cost for certain instantiations of our
framework.
| cs.LG cs.AI stat.ML | we study how to effectively leverage expert feedback to learn sequential decisionmaking policies we focus on problems with sparse rewards and long time horizons which typically pose significant challenges in reinforcement learning we propose an algorithmic framework called hierarchical guidance that leverages the hierarchical structure of the underlying problem to integrate different modes of expert interaction our framework can incorporate different combinations of imitation learning il and reinforcement learning rl at different levels leading to dramatic reductions in both expert effort and cost of exploration using longhorizon benchmarks including montezumas revenge we demonstrate that our approach can learn significantly faster than hierarchical rl and be significantly more labelefficient than standard il we also theoretically analyze labeling cost for certain instantiations of our framework | [['we', 'study', 'how', 'to', 'effectively', 'leverage', 'expert', 'feedback', 'to', 'learn', 'sequential', 'decisionmaking', 'policies', 'we', 'focus', 'on', 'problems', 'with', 'sparse', 'rewards', 'and', 'long', 'time', 'horizons', 'which', 'typically', 'pose', 'significant', 'challenges', 'in', 'reinforcement', 'learning', 'we', 'propose', 'an', 'algorithmic', 'framework', 'called', 'hierarchical', 'guidance', 'that', 'leverages', 'the', 'hierarchical', 'structure', 'of', 'the', 'underlying', 'problem', 'to', 'integrate', 'different', 'modes', 'of', 'expert', 'interaction', 'our', 'framework', 'can', 'incorporate', 'different', 'combinations', 'of', 'imitation', 'learning', 'il', 'and', 'reinforcement', 'learning', 'rl', 'at', 'different', 'levels', 'leading', 'to', 'dramatic', 'reductions', 'in', 'both', 'expert', 'effort', 'and', 'cost', 'of', 'exploration', 'using', 'longhorizon', 'benchmarks', 'including', 'montezumas', 'revenge', 'we', 'demonstrate', 'that', 'our', 'approach', 'can', 'learn', 'significantly', 'faster', 'than', 'hierarchical', 'rl', 'and', 'be', 'significantly', 'more', 'labelefficient', 'than', 'standard', 'il', 'we', 'also', 'theoretically', 'analyze', 'labeling', 'cost', 'for', 'certain', 'instantiations', 'of', 'our', 'framework']] | [0.008437236809792617, 0.0032732220172808258, -0.08503732706488269, 0.0895224200103553, -0.17226692924381998, -0.18803037566746153, 0.05735214005368269, 0.49186321394896604, -0.30147936934135794, -0.3753033888155246, 0.05207304985307884, -0.22237429710301926, -0.22066699398484657, 0.1630559850756715, -0.15555844044433983, 0.05871710097190083, 0.09629583687188362, -0.023988186947743947, -0.06218355984476251, -0.26726558975538434, 0.3055811062799691, 0.033225049991614936, 0.3154053501936236, -0.003725433972005437, 0.15974140673784948, -0.010473009176188854, 0.01222241406775708, 0.0019385443888680358, -0.07237897827292365, 0.19243252007347508, 0.35445476377740637, 0.23388705567297777, 0.40951487328289304, -0.46160168170444366, -0.20454956667225171, 0.10490406206165387, 0.16229744438589286, 0.09775630298649847, -0.020039585797230683, -0.3289770959778045, 0.054533213395928225, -0.22019913878927871, 0.03728476871274472, -0.19632180747992503, -0.06375850674817414, -0.05870912682739873, -0.30820465395917995, -0.013153813509847893, 0.08091646753539278, 0.01019831925698715, -0.06859330769544997, -0.14730965502454135, 0.06485551119994039, 0.15431678781240452, 0.04342708101957976, 0.009755880869092131, 0.15587203808477132, -0.18411961476114103, -0.22924817063489822, 0.3266180756736577, -0.022018478423540624, -0.18222182482571864, 0.2436115398503295, -0.02231749805727807, -0.16799436475536444, 0.08168781823213629, 0.3054249933428638, 0.14782723450864763, -0.13628115410948688, 0.0268067613876296, -0.015032583881714722, 0.2036331047538698, 0.014807190940094491, -0.005931876289347808, 0.12410028806577127, 0.2803482854534395, 0.05697337526646329, 0.10851283145716369, -0.050137065216611196, -0.17139072372668945, -0.16464942137188301, -0.09391474158964991, -0.10543859608441107, -0.024794887804342965, -0.14474859258218675, -0.11049944861546893, 0.35021885495057437, 0.25885075903156907, 0.18890679053719936, 0.16751871622315176, 0.31812483843082817, 0.04844007962023673, 0.08084504288144229, 0.12947822465917203, 0.18508205052495488, -0.0557753374020198, 0.10176770225909304, -0.24796563961611287, 0.10542956962272888, 0.010882839030487751] |
1,803.00591 | Lepton Flavorful Fifth Force and Depth-dependent Neutrino Matter
Interactions | We consider a fifth force to be an interaction that couples to matter with a
strength that grows with the number of atoms. In addition to competing with the
strength of gravity a fifth force can give rise to violations of the
equivalence principle. Current long range constraints on the strength and range
of fifth forces are very impressive. Amongst possible fifth forces are those
that couple to lepton flavorful charges $L_e-L_{\mu}$ or $L_e-L_{\tau}$. They
have the property that their range and strength are also constrained by
neutrino interactions with matter. In this brief note we review the existing
constraints on the allowed parameter space in gauged $U(1)_{L_e-L_{\mu},
L_{\tau}}$. We find two regions where neutrino oscillation experiments are at
the frontier of probing such a new force. In particular, there is an allowed
range of parameter space where neutrino matter interactions relevant for long
baseline oscillation experiments depend on the depth of the neutrino beam below
the surface of the earth.
| hep-ph hep-ex | we consider a fifth force to be an interaction that couples to matter with a strength that grows with the number of atoms in addition to competing with the strength of gravity a fifth force can give rise to violations of the equivalence principle current long range constraints on the strength and range of fifth forces are very impressive amongst possible fifth forces are those that couple to lepton flavorful charges l_el_mu or l_el_tau they have the property that their range and strength are also constrained by neutrino interactions with matter in this brief note we review the existing constraints on the allowed parameter space in gauged u1_l_el_mu l_tau we find two regions where neutrino oscillation experiments are at the frontier of probing such a new force in particular there is an allowed range of parameter space where neutrino matter interactions relevant for long baseline oscillation experiments depend on the depth of the neutrino beam below the surface of the earth | [['we', 'consider', 'a', 'fifth', 'force', 'to', 'be', 'an', 'interaction', 'that', 'couples', 'to', 'matter', 'with', 'a', 'strength', 'that', 'grows', 'with', 'the', 'number', 'of', 'atoms', 'in', 'addition', 'to', 'competing', 'with', 'the', 'strength', 'of', 'gravity', 'a', 'fifth', 'force', 'can', 'give', 'rise', 'to', 'violations', 'of', 'the', 'equivalence', 'principle', 'current', 'long', 'range', 'constraints', 'on', 'the', 'strength', 'and', 'range', 'of', 'fifth', 'forces', 'are', 'very', 'impressive', 'amongst', 'possible', 'fifth', 'forces', 'are', 'those', 'that', 'couple', 'to', 'lepton', 'flavorful', 'charges', 'l_el_mu', 'or', 'l_el_tau', 'they', 'have', 'the', 'property', 'that', 'their', 'range', 'and', 'strength', 'are', 'also', 'constrained', 'by', 'neutrino', 'interactions', 'with', 'matter', 'in', 'this', 'brief', 'note', 'we', 'review', 'the', 'existing', 'constraints', 'on', 'the', 'allowed', 'parameter', 'space', 'in', 'gauged', 'u1_l_el_mu', 'l_tau', 'we', 'find', 'two', 'regions', 'where', 'neutrino', 'oscillation', 'experiments', 'are', 'at', 'the', 'frontier', 'of', 'probing', 'such', 'a', 'new', 'force', 'in', 'particular', 'there', 'is', 'an', 'allowed', 'range', 'of', 'parameter', 'space', 'where', 'neutrino', 'matter', 'interactions', 'relevant', 'for', 'long', 'baseline', 'oscillation', 'experiments', 'depend', 'on', 'the', 'depth', 'of', 'the', 'neutrino', 'beam', 'below', 'the', 'surface', 'of', 'the', 'earth']] | [-0.148077995423806, 0.24246142721486927, -0.002763689710376842, 0.07929804894540991, -0.10932484422434376, -0.11844571596532134, 0.008076064572062181, 0.3340583147700899, -0.2511515983536562, -0.35095579170199653, 0.047607866656729336, -0.28299436032170466, -0.0771330102644745, 0.20532670447180593, 0.03882726759979536, -0.021472292009347714, 0.006033563060882669, 0.05743648874232118, -0.06568869125562204, -0.25374817276252026, 0.32475445646885204, 0.04881975112297798, 0.2265796742477217, 0.09725185048980464, 0.1003558762626063, -0.031299672135794016, -0.0025862923328712675, 0.0029211463923681734, -0.13479541190729985, 0.07251730604496386, 0.17656099044620957, 0.07563512261251207, 0.19021769806522854, -0.450707587604382, -0.18820353707671744, 0.17489730678238438, 0.12285362649419755, 0.11254415547718173, -0.046611851609821044, -0.28818792137114896, 0.018383545472766764, -0.19251432489916126, -0.10323401306530242, -0.07248275822768949, 0.04049462110081815, 0.05797553506697187, -0.29581731550904533, 0.07043457906154528, -0.020054040181664578, 0.006379004005308014, -0.04960326972108057, -0.10217583566753669, 0.011973383341863843, 0.08350069184428925, 0.14039494921033913, 0.05008372604870093, 0.13338245427444206, -0.1812184191011008, -0.07101302763869442, 0.4134479801239943, -0.08477720942475503, -0.1696524558840493, 0.21252413912638674, -0.15192926991210312, -0.13392499946520564, 0.10564086478932397, 0.17334247673485684, 0.06292780367108004, -0.12174782049928948, 0.10864850283406606, -0.05218176464174197, 0.16437562245597936, 0.04442139435704127, 0.0617671050160244, 0.2677600246113696, 0.19219039448664194, 0.119492889777468, 0.025872739246664625, -0.11336472968466765, -0.05514275893367977, -0.3543251279845649, -0.07803719429178481, -0.1300671359477854, -0.005250043452642164, -0.061752357783182145, -0.10377529950708336, 0.3881136687842678, 0.16695041394277665, 0.19004695920956247, 0.029282277571442333, 0.24714802637094666, 0.058203006905116005, 0.10065956661182669, -0.010902016299273471, 0.36660704174026937, 0.10329055373834574, 0.07755282716333912, -0.22793926284373708, -0.005561407985200423, 0.038197862854956285] |
1,803.00592 | Strong two-dimensional plasmon in Li-intercalated hexagonal
boron-nitride film with low damping | The field of plasmonics seeks to find materials with an intensive plasmon
(large plasmon pole weight) with low Landau, phonon and other losses (small
decay width). In this paper we propose a new class of materials that show
exceptionally good plasmonic properties. These materials consist of van der
Waals stacked 'plasmon active' layers (atomically thin metallic layers) and
'supporting' layers (atomically thin wide band gap insulating layers). One such
material that can be experimentally realized - lithium intercalated hexagonal
boron-nitride is studied in detail. We show that its 2D plasmon intensity is
superior to intensity of well studied Dirac plasmon in heavy doped graphene
which is hard to achieve. We also propose the method for computationally very
cheap, but accurate analysis of plasmon spectra in such materials, based on one
band tight-binding approach and effective background dielectric function.
| cond-mat.mes-hall cond-mat.mtrl-sci | the field of plasmonics seeks to find materials with an intensive plasmon large plasmon pole weight with low landau phonon and other losses small decay width in this paper we propose a new class of materials that show exceptionally good plasmonic properties these materials consist of van der waals stacked plasmon active layers atomically thin metallic layers and supporting layers atomically thin wide band gap insulating layers one such material that can be experimentally realized lithium intercalated hexagonal boronnitride is studied in detail we show that its 2d plasmon intensity is superior to intensity of well studied dirac plasmon in heavy doped graphene which is hard to achieve we also propose the method for computationally very cheap but accurate analysis of plasmon spectra in such materials based on one band tightbinding approach and effective background dielectric function | [['the', 'field', 'of', 'plasmonics', 'seeks', 'to', 'find', 'materials', 'with', 'an', 'intensive', 'plasmon', 'large', 'plasmon', 'pole', 'weight', 'with', 'low', 'landau', 'phonon', 'and', 'other', 'losses', 'small', 'decay', 'width', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'class', 'of', 'materials', 'that', 'show', 'exceptionally', 'good', 'plasmonic', 'properties', 'these', 'materials', 'consist', 'of', 'van', 'der', 'waals', 'stacked', 'plasmon', 'active', 'layers', 'atomically', 'thin', 'metallic', 'layers', 'and', 'supporting', 'layers', 'atomically', 'thin', 'wide', 'band', 'gap', 'insulating', 'layers', 'one', 'such', 'material', 'that', 'can', 'be', 'experimentally', 'realized', 'lithium', 'intercalated', 'hexagonal', 'boronnitride', 'is', 'studied', 'in', 'detail', 'we', 'show', 'that', 'its', '2d', 'plasmon', 'intensity', 'is', 'superior', 'to', 'intensity', 'of', 'well', 'studied', 'dirac', 'plasmon', 'in', 'heavy', 'doped', 'graphene', 'which', 'is', 'hard', 'to', 'achieve', 'we', 'also', 'propose', 'the', 'method', 'for', 'computationally', 'very', 'cheap', 'but', 'accurate', 'analysis', 'of', 'plasmon', 'spectra', 'in', 'such', 'materials', 'based', 'on', 'one', 'band', 'tightbinding', 'approach', 'and', 'effective', 'background', 'dielectric', 'function']] | [-0.11737250912438289, 0.14530303714855108, -0.005464429854938801, 0.022537841602656854, -0.06835831023317619, -0.2123926723253553, 0.04960794224026511, 0.5259603292878418, -0.25569427457304983, -0.2923796687629516, -0.06937549899869265, -0.3251432751434563, -0.22969002330363014, 0.19319100572598458, -0.008899447712095549, 0.09233270214479052, 0.031951065702078334, -0.16568141069983805, -0.05168829912177022, -0.18897009068712536, 0.2560108641135323, 0.04020450777313876, 0.3430830192952723, 0.1102260894747111, 0.024228708798160952, -0.009997957715778237, 0.16024703385621092, -0.0019938652539612167, -0.16967397171533014, 0.14476014724014885, 0.325465336904256, -0.17564150963291308, 0.2375562411875729, -0.48263718461087585, -0.22417558801027326, -0.04114904590834775, 0.17829423405427186, 0.1392747492956025, -0.10935330618747313, -0.22521869634298514, 0.062277920833061426, -0.1282440049547862, -0.09449189431611857, -0.10892605421772349, -0.0457717790756966, -0.023501357145226786, -0.21016320106352468, 0.04593174488591302, 0.012703969388907898, 0.048589125728526965, -0.08524867955061614, -0.1642860556191282, -0.060370570876343295, 0.028168705077909858, 0.03691093404913307, -0.01657398488715862, 0.18691303598674108, -0.10455616546393692, -0.03648295492124166, 0.3887473223934861, -0.09616857171602493, -0.1082446479177388, 0.2121588515294512, -0.15538302414717464, -0.021219965893041044, 0.18239826645810892, 0.14276487954355177, 0.11880580354889814, -0.13205513221604315, 0.07582396343686061, -0.037050578335340874, 0.1929007888105392, 0.08542115096492271, 0.1440332835488341, 0.2682047941429663, 0.2494468599503493, 0.0358111104948351, 0.13939019624971494, -0.12177074851933867, 0.06627643111596958, -0.1728732236210651, -0.20952801138277755, -0.26240675023206284, 0.030690697305597855, -0.05896020721761853, -0.3192328568276045, 0.42379723910758965, 0.102394521691884, 0.1618283997395205, -0.03161372087919663, 0.26383661273289066, 0.09458259686939827, 0.11607204129185228, 0.029744693701814887, 0.3227720348721873, 0.1331912595727719, 0.08142484928312181, -0.20311001214083202, 0.009565909644019498, 0.003802795613177773] |
1,803.00593 | Interface-generated spin currents | Transport calculations based on ab-initio band structures reveal large
interface-generated spin currents at Co/Pt, Co/Cu, and Pt/Cu interfaces. These
spin currents are driven by in-plane electric fields but flow out-of-plane, and
can have similar strengths to spin currents generated by the spin Hall effect
in bulk Pt. Each interface generates spin currents with polarization along
$\bf{\hat{z}} \times \bf{E}$, where $\bf{\hat{z}}$ is the interface normal and
$\bf{E}$ denotes the electric field. The Co/Cu and Co/Pt interfaces
additionally generate spin currents with polarization along $\bf{\hat{m}}
\times (\bf{\hat{z}} \times \bf{E})$, where $\bf{\hat{m}}$ gives the
magnetization direction of Co. The latter spin polarization is controlled
by---but not aligned with---the magnetization, providing a novel mechanism for
generating spin torques in magnetic trilayers.
| cond-mat.mes-hall | transport calculations based on abinitio band structures reveal large interfacegenerated spin currents at copt cocu and ptcu interfaces these spin currents are driven by inplane electric fields but flow outofplane and can have similar strengths to spin currents generated by the spin hall effect in bulk pt each interface generates spin currents with polarization along bfhatz times bfe where bfhatz is the interface normal and bfe denotes the electric field the cocu and copt interfaces additionally generate spin currents with polarization along bfhatm times bfhatz times bfe where bfhatm gives the magnetization direction of co the latter spin polarization is controlled bybut not aligned withthe magnetization providing a novel mechanism for generating spin torques in magnetic trilayers | [['transport', 'calculations', 'based', 'on', 'abinitio', 'band', 'structures', 'reveal', 'large', 'interfacegenerated', 'spin', 'currents', 'at', 'copt', 'cocu', 'and', 'ptcu', 'interfaces', 'these', 'spin', 'currents', 'are', 'driven', 'by', 'inplane', 'electric', 'fields', 'but', 'flow', 'outofplane', 'and', 'can', 'have', 'similar', 'strengths', 'to', 'spin', 'currents', 'generated', 'by', 'the', 'spin', 'hall', 'effect', 'in', 'bulk', 'pt', 'each', 'interface', 'generates', 'spin', 'currents', 'with', 'polarization', 'along', 'bfhatz', 'times', 'bfe', 'where', 'bfhatz', 'is', 'the', 'interface', 'normal', 'and', 'bfe', 'denotes', 'the', 'electric', 'field', 'the', 'cocu', 'and', 'copt', 'interfaces', 'additionally', 'generate', 'spin', 'currents', 'with', 'polarization', 'along', 'bfhatm', 'times', 'bfhatz', 'times', 'bfe', 'where', 'bfhatm', 'gives', 'the', 'magnetization', 'direction', 'of', 'co', 'the', 'latter', 'spin', 'polarization', 'is', 'controlled', 'bybut', 'not', 'aligned', 'withthe', 'magnetization', 'providing', 'a', 'novel', 'mechanism', 'for', 'generating', 'spin', 'torques', 'in', 'magnetic', 'trilayers']] | [-0.2553195526410842, 0.26756728244455236, 0.04342379023141244, -0.0507131487257746, -0.07706557779180769, -0.13228764546332522, -0.041705357162036785, 0.4633174838106099, -0.27741910282751187, -0.26872684862137886, -0.022163524013114767, -0.2653353335172461, -0.0554536551404581, 0.20871539402287453, 0.12447596808054011, -0.06845124656122112, -0.08522653068403567, -0.08077743408686824, -0.09717159698668279, -0.11174636082273139, 0.22049205791074455, -0.038108607410992444, 0.33978682749888356, 0.09033062711782884, 0.09319296417136987, 0.0434434606358991, 0.13527768206570231, 0.03384498444900505, -0.09873184905256749, 0.03621717854159151, 0.2210881357497879, -0.18147264493286216, 0.06669801769353319, -0.5459019804144638, -0.12160533962703898, -0.037110988116055205, 0.07455896239793092, 0.174487408953147, -0.07626870317535736, -0.2623599417213547, 0.0718743300571907, -0.10797856160717313, -0.0999757166009339, -0.12217919614366174, 0.00909946773818024, 0.0029261231686911757, -0.30220306897127447, 0.1362739217532962, 0.08257444876985494, 0.11829293284940752, -0.08560022935189568, -0.16930417054773947, -0.19274243852123618, 0.019945010547975504, 0.09734067085133702, 0.149249811050188, 0.25044243168897656, -0.11156329488445058, -0.2004249483314261, 0.2492365294315836, -0.062057631142363935, -0.1805304776583063, 0.11264802358448178, -0.21789439195989663, -0.01745105791314129, 0.13311704315996745, 0.1297414768487215, 0.12270655108844503, -0.15068860079586638, 0.0726752679839959, 0.0312265728992459, 0.11462624199492366, 0.05799148468251683, 0.014508694165239209, 0.32480471140884776, 0.12491232632320341, 0.08002276530488305, 0.12051102672826107, -0.16716902471645817, -0.037137445405517756, -0.17919727841294125, -0.16901059724848, -0.18725229531379514, 0.14608594472328582, -0.06066969198760936, -0.1359446280382639, 0.4266971690220791, 0.1656858414276748, 0.14131220235701716, -0.04481708133397134, 0.28673586373527843, 0.12151939588345653, 0.10951423969348534, 0.10790995981446222, 0.20169434244662784, 0.23977670078819388, 0.15175442847733697, -0.3230330336169062, 0.126585034765875, -0.01415284667490867] |
1,803.00594 | "Exclusive-OR" operation with Fano resonant MEMS Metamaterial | In recent years, a range of reconfigurable metamaterials controlled with
thermal, electric, magnetic and optical signals have been developed for
dynamically manipulating the intensity, phase and wave-front of electromagnetic
radiation across the broad electromagnetic spectrum ranging from microwave to
optics. Here for the first time, we demonstrate a reconfigurable metasurface
performing exclusive OR (XOR) logical operation using two independent control
electrical inputs and an optical read-out in the form of far-field Fano
intensity states at terahertz wavelengths. At the same time, the near field
resonant confinement enables a universal NAND logical operation. Further, by
using a single electrical input control and an optical readout, a logical NOT
operation is achieved at the far-field intensity states of the Fano resonance.
The proposed reconfigurable microcantilever based Fano design that exhibits
multiple logical operations can create a versatile platform for realization of
programmable and randomly accessible metamaterials with enhanced
electro-optical performance, multichannel data processing and encryption
techniques for high speed wireless networks which are now being pushed towards
terahertz wavelengths.
| physics.app-ph physics.optics | in recent years a range of reconfigurable metamaterials controlled with thermal electric magnetic and optical signals have been developed for dynamically manipulating the intensity phase and wavefront of electromagnetic radiation across the broad electromagnetic spectrum ranging from microwave to optics here for the first time we demonstrate a reconfigurable metasurface performing exclusive or xor logical operation using two independent control electrical inputs and an optical readout in the form of farfield fano intensity states at terahertz wavelengths at the same time the near field resonant confinement enables a universal nand logical operation further by using a single electrical input control and an optical readout a logical not operation is achieved at the farfield intensity states of the fano resonance the proposed reconfigurable microcantilever based fano design that exhibits multiple logical operations can create a versatile platform for realization of programmable and randomly accessible metamaterials with enhanced electrooptical performance multichannel data processing and encryption techniques for high speed wireless networks which are now being pushed towards terahertz wavelengths | [['in', 'recent', 'years', 'a', 'range', 'of', 'reconfigurable', 'metamaterials', 'controlled', 'with', 'thermal', 'electric', 'magnetic', 'and', 'optical', 'signals', 'have', 'been', 'developed', 'for', 'dynamically', 'manipulating', 'the', 'intensity', 'phase', 'and', 'wavefront', 'of', 'electromagnetic', 'radiation', 'across', 'the', 'broad', 'electromagnetic', 'spectrum', 'ranging', 'from', 'microwave', 'to', 'optics', 'here', 'for', 'the', 'first', 'time', 'we', 'demonstrate', 'a', 'reconfigurable', 'metasurface', 'performing', 'exclusive', 'or', 'xor', 'logical', 'operation', 'using', 'two', 'independent', 'control', 'electrical', 'inputs', 'and', 'an', 'optical', 'readout', 'in', 'the', 'form', 'of', 'farfield', 'fano', 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1,803.00595 | Admission predictors for success in a mathematics graduate program | There are many factors that can influence the outcome for students in a
mathematics PhD program: bachelor's GPA (BGPA), bachelor's major, GRE scores,
gender, Under-Represented Minority (URM) status, institution tier, etc. Are
these variables equally important predictors of a student's likelihood of
succeeding in a math PhD program? In this paper, we present and analyze
admission data of students from different groups entering a math PhD program at
a southern California university. We observe that some factors correlate with
success in the PhD program (defined as obtaining a PhD degree within a
time-limit). According to our analysis, GRE scores correlate with success, but
interestingly, the verbal part of the GRE score has a higher predictive power
compared to the quantitative part. Further, we observe that undergraduate
student GPA does not correlate with success (there is even a slight negative
slope in the relationship between GPA and the probability of success). This
counterintuitive observation is explained once undergraduate institutions are
separated by tiers: students from "higher tiers" have undergone a more rigorous
training program; they on average have a slightly lower GPA but run a slightly
higher probability to succeed. Finally, a gender gap is observed in the
probability to succeed with female students having a lower probability to
finish with a PhD despite the same undergraduate performance, compared to
males. This gap is reversed if we only consider foreign graduate students. It
is our hope that this study will encourage other universities to perform
similar analyses, in order to design better admission and retention strategies
for Math PhD programs.
| math.HO | there are many factors that can influence the outcome for students in a mathematics phd program bachelors gpa bgpa bachelors major gre scores gender underrepresented minority urm status institution tier etc are these variables equally important predictors of a students likelihood of succeeding in a math phd program in this paper we present and analyze admission data of students from different groups entering a math phd program at a southern california university we observe that some factors correlate with success in the phd program defined as obtaining a phd degree within a timelimit according to our analysis gre scores correlate with success but interestingly the verbal part of the gre score has a higher predictive power compared to the quantitative part further we observe that undergraduate student gpa does not correlate with success there is even a slight negative slope in the relationship between gpa and the probability of success this counterintuitive observation is explained once undergraduate institutions are separated by tiers students from higher tiers have undergone a more rigorous training program they on average have a slightly lower gpa but run a slightly higher probability to succeed finally a gender gap is observed in the probability to succeed with female students having a lower probability to finish with a phd despite the same undergraduate performance compared to males this gap is reversed if we only consider foreign graduate students it is our hope that this study will encourage other universities to perform similar analyses in order to design better admission and retention strategies for math phd programs | [['there', 'are', 'many', 'factors', 'that', 'can', 'influence', 'the', 'outcome', 'for', 'students', 'in', 'a', 'mathematics', 'phd', 'program', 'bachelors', 'gpa', 'bgpa', 'bachelors', 'major', 'gre', 'scores', 'gender', 'underrepresented', 'minority', 'urm', 'status', 'institution', 'tier', 'etc', 'are', 'these', 'variables', 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1,803.00596 | High Temperature Electronic Structure with KKR | Modeling high temperature (10's or 100's of eV), dense plasmas is challenging
due to the multitude of non-negligible physical effects including significant
partial ionization and multi-site effects. These effects cause the breakdown or
intractability of common methods and approximations used at low temperatures,
such as pseudopotentials or plane wave basis sets. Here we explore the KKR
Green's function method at these high temperature conditions. The method is
all-electron, does not rely on pseudopotentials, and uses a spherical harmonic
basis set, and so avoids the aforementioned limitations. It is found to be
accurate for solid density aluminum and iron plasmas compared when compared to
a plane wave method at low temperature, while being able to access high
temperatures.
| physics.comp-ph physics.plasm-ph | modeling high temperature 10s or 100s of ev dense plasmas is challenging due to the multitude of nonnegligible physical effects including significant partial ionization and multisite effects these effects cause the breakdown or intractability of common methods and approximations used at low temperatures such as pseudopotentials or plane wave basis sets here we explore the kkr greens function method at these high temperature conditions the method is allelectron does not rely on pseudopotentials and uses a spherical harmonic basis set and so avoids the aforementioned limitations it is found to be accurate for solid density aluminum and iron plasmas compared when compared to a plane wave method at low temperature while being able to access high temperatures | [['modeling', 'high', 'temperature', '10s', 'or', '100s', 'of', 'ev', 'dense', 'plasmas', 'is', 'challenging', 'due', 'to', 'the', 'multitude', 'of', 'nonnegligible', 'physical', 'effects', 'including', 'significant', 'partial', 'ionization', 'and', 'multisite', 'effects', 'these', 'effects', 'cause', 'the', 'breakdown', 'or', 'intractability', 'of', 'common', 'methods', 'and', 'approximations', 'used', 'at', 'low', 'temperatures', 'such', 'as', 'pseudopotentials', 'or', 'plane', 'wave', 'basis', 'sets', 'here', 'we', 'explore', 'the', 'kkr', 'greens', 'function', 'method', 'at', 'these', 'high', 'temperature', 'conditions', 'the', 'method', 'is', 'allelectron', 'does', 'not', 'rely', 'on', 'pseudopotentials', 'and', 'uses', 'a', 'spherical', 'harmonic', 'basis', 'set', 'and', 'so', 'avoids', 'the', 'aforementioned', 'limitations', 'it', 'is', 'found', 'to', 'be', 'accurate', 'for', 'solid', 'density', 'aluminum', 'and', 'iron', 'plasmas', 'compared', 'when', 'compared', 'to', 'a', 'plane', 'wave', 'method', 'at', 'low', 'temperature', 'while', 'being', 'able', 'to', 'access', 'high', 'temperatures']] | [-0.04995155803317952, 0.11802407417000614, -0.036402509802490726, 0.08507792779710144, -0.04717480743295935, -0.10895038788549156, 0.07068633406749393, 0.40001195745590407, -0.2146609336233292, -0.31621212269872045, 0.0746305722456712, -0.2779422455475244, -0.0629216561981469, 0.20472625797240335, 0.003322477639019967, 0.0956423718135995, 0.03426405956518924, -0.055200862655471854, -0.11677918448232305, -0.17701569048023152, 0.26686734343982405, 0.09330517274494736, 0.30158386760367417, 0.13512251209308448, 0.09458963633475141, -0.042597048693042025, 0.021417553380875982, 0.02783035750960549, -0.07972649468156771, 0.024501786226979815, 0.26804769943412554, 0.03378494186963663, 0.2905100852282893, -0.4788881330631482, -0.24635530141596165, 0.05784262045790067, 0.120503833803993, 0.14785567248184392, -0.02350197135944429, -0.21717853542182466, 0.04407439096711385, -0.16573603866765133, -0.17191301033091852, -0.13632060241941205, -0.00040319690711668925, 0.050107940119535975, -0.2897090060580681, 0.11923798524901971, -0.010647658429817002, 0.05282973715613604, -0.05454601813107729, -0.1691744069958854, -0.027590713983115096, 0.03677621647107622, -0.015554411700950602, 0.06631786045996456, 0.1601147510063572, -0.07386736290004009, -0.018569627207600407, 0.43993805523993623, -0.026805369750572704, -0.16876210866129807, 0.2828396222191966, -0.15540919659468225, -0.1049480672296869, 0.2223893446025924, 0.17772595319025314, 0.1248465281091312, -0.11512020656415639, 0.03999994751503771, 0.0585405857684827, 0.17938456748528644, 0.10031090324155541, 0.06460326115011723, 0.22517890863629997, 0.13404955206892621, 0.0325538724517593, 0.05342717171531234, -0.11914343373953468, -0.020805149876440946, -0.23643737009320503, -0.0699730645284369, -0.19261561476020542, 0.00011732993519598315, -0.05919277801988825, -0.22807389602829248, 0.3406586362622105, 0.192252220490422, 0.1376928116959066, -0.02277388939092684, 0.34302283380116916, 0.1344118863245936, 0.07188364264802036, 0.07317601195655954, 0.2099006168393052, 0.1533409490978393, 0.045177632327884056, -0.22300345945355093, 0.060314424990668386, 0.023800249523921017] |
1,803.00597 | Accelerator performance analysis of the Fermilab Muon Campus | Fermilab is dedicated to hosting world-class experiments in search of new
physics that will operate in the coming years. The Muon g-2 Experiment is one
such experiment that will determine with unprecedented precision the muon
anomalous magnetic moment, which offers an important test of the Standard
Model. We describe in this study the accelerator facility that will deliver a
muon beam to this experiment. We first present the lattice design that allows
for efficient capture, transport, and delivery of polarized muon beams. We then
numerically examine its performance by simulating pion production in the
target, muon collection by the downstream beam line optics, as well as
transport of muon polarization. We finally establish the conditions required
for the safe removal of unwanted secondary particles that minimizes
contamination of the final beam.
| physics.acc-ph | fermilab is dedicated to hosting worldclass experiments in search of new physics that will operate in the coming years the muon g2 experiment is one such experiment that will determine with unprecedented precision the muon anomalous magnetic moment which offers an important test of the standard model we describe in this study the accelerator facility that will deliver a muon beam to this experiment we first present the lattice design that allows for efficient capture transport and delivery of polarized muon beams we then numerically examine its performance by simulating pion production in the target muon collection by the downstream beam line optics as well as transport of muon polarization we finally establish the conditions required for the safe removal of unwanted secondary particles that minimizes contamination of the final beam | [['fermilab', 'is', 'dedicated', 'to', 'hosting', 'worldclass', 'experiments', 'in', 'search', 'of', 'new', 'physics', 'that', 'will', 'operate', 'in', 'the', 'coming', 'years', 'the', 'muon', 'g2', 'experiment', 'is', 'one', 'such', 'experiment', 'that', 'will', 'determine', 'with', 'unprecedented', 'precision', 'the', 'muon', 'anomalous', 'magnetic', 'moment', 'which', 'offers', 'an', 'important', 'test', 'of', 'the', 'standard', 'model', 'we', 'describe', 'in', 'this', 'study', 'the', 'accelerator', 'facility', 'that', 'will', 'deliver', 'a', 'muon', 'beam', 'to', 'this', 'experiment', 'we', 'first', 'present', 'the', 'lattice', 'design', 'that', 'allows', 'for', 'efficient', 'capture', 'transport', 'and', 'delivery', 'of', 'polarized', 'muon', 'beams', 'we', 'then', 'numerically', 'examine', 'its', 'performance', 'by', 'simulating', 'pion', 'production', 'in', 'the', 'target', 'muon', 'collection', 'by', 'the', 'downstream', 'beam', 'line', 'optics', 'as', 'well', 'as', 'transport', 'of', 'muon', 'polarization', 'we', 'finally', 'establish', 'the', 'conditions', 'required', 'for', 'the', 'safe', 'removal', 'of', 'unwanted', 'secondary', 'particles', 'that', 'minimizes', 'contamination', 'of', 'the', 'final', 'beam']] | [-0.08399669519440761, 0.19870896512770916, -0.06047917615608064, 0.08702732416030681, -0.06181400850635619, -0.13296267088104524, 0.02311180678119826, 0.3702322292987627, -0.22877175722783075, -0.3252452530521359, 0.058554749696814096, -0.307258916323945, -0.02486976083965247, 0.22088480873374652, 0.005649618450765505, 0.09162103993603106, 0.10975516810728848, 0.0042204890819621905, -0.04505982071886422, -0.22198577787556495, 0.2628910231283148, 0.18448962420864984, 0.27691392627018613, 0.11299067689461335, 0.13555869983352778, 0.022522991630230953, -0.03281849329955236, -0.049065252067521214, -0.0991911045236194, 0.1005227240726693, 0.2522137017053275, 0.1681487200184519, 0.14301306754350662, -0.4421414657289745, -0.13978031345550682, 0.10300257781747985, 0.1161834740414078, 0.0860396517015894, -0.13264944159802589, -0.23334091598921605, 0.07645185355751113, -0.16216735779272237, -0.17801231710695242, -0.0886539034376575, -0.0554998358213947, 0.0263752247800496, -0.2824557528021045, -0.03216140909042238, -0.0015142955239648924, 0.044589958084349075, -0.023561086903329767, -0.13167664212643929, 0.058544184882833646, 0.11164822748272132, 0.05991818931732213, 0.0829889141609679, 0.14805577318219623, -0.14386407826771205, -0.168971729080925, 0.39504255199420996, -0.062032735937200344, -0.1331553893156691, 0.1506152039816788, -0.22850749704396736, -0.09062803730205099, 0.14462236344871174, 0.26108855279233617, 0.07881461375727113, -0.2263860649372387, 0.024824665249272015, -0.048245598718467106, 0.14673281157254206, 0.05667733089849068, 0.0022990926327041655, 0.2297648369665222, 0.2662177985544736, 0.1262319679976306, 0.15711179259055444, -0.20362745331536325, -0.01784389888341645, -0.35957427631409566, -0.19117332406996088, -0.09993651789925878, 0.06139570971566985, 0.040650871671307015, -0.07546456070360906, 0.3936920873376448, 0.18308707827503104, 0.14500675252318837, -0.054539090019778726, 0.36857595035223334, 0.04483463073625649, 0.077132252937197, 0.005977505754025383, 0.28118983257334423, 0.08090442379700857, 0.13009128071197118, -0.3074997027514801, 0.04292651806168884, 0.014894282185820906] |
1,803.00598 | Logarithms, constructible functions and integration on non-archimedean
models of the theory of the real field with restricted analytic functions
with value group of finite archimedean rank | Given a model of the theory of the real field with restricted analytic
functions such that its value group has finite archimedean rank we show how one
can extend the restricted logarithm to a global logarithm with values in the
polynomial ring over the model with dimension the archimedean rank. The
logarithms are determined by algebraic data from the model, namely by a section
of the model and by an embedding of the value group into its Hahn group. If the
archimedean rank of the value group coincides with the rational rank the
logarithms are equivalent. We illustrate how one can embed such a logarithm
into a model of the real field with restricted analytic functions and
exponentiation. This allows us to define constructible functions with good
lifting properties. As an application we establish a Lebesgue measure and
integration theory with values in the polynomial ring, extending and
strengthening the construction in [T. Kaiser: Lebesgue measure and integration
theory on non-archimedean real closed fields with archimedean value group.
Proc. Lond. Math. Soc. 116 (2018), no. 2, 209-247.].
| math.LO math.CA math.CV | given a model of the theory of the real field with restricted analytic functions such that its value group has finite archimedean rank we show how one can extend the restricted logarithm to a global logarithm with values in the polynomial ring over the model with dimension the archimedean rank the logarithms are determined by algebraic data from the model namely by a section of the model and by an embedding of the value group into its hahn group if the archimedean rank of the value group coincides with the rational rank the logarithms are equivalent we illustrate how one can embed such a logarithm into a model of the real field with restricted analytic functions and exponentiation this allows us to define constructible functions with good lifting properties as an application we establish a lebesgue measure and integration theory with values in the polynomial ring extending and strengthening the construction in t kaiser lebesgue measure and integration theory on nonarchimedean real closed fields with archimedean value group proc lond math soc 116 2018 no 2 209247 | [['given', 'a', 'model', 'of', 'the', 'theory', 'of', 'the', 'real', 'field', 'with', 'restricted', 'analytic', 'functions', 'such', 'that', 'its', 'value', 'group', 'has', 'finite', 'archimedean', 'rank', 'we', 'show', 'how', 'one', 'can', 'extend', 'the', 'restricted', 'logarithm', 'to', 'a', 'global', 'logarithm', 'with', 'values', 'in', 'the', 'polynomial', 'ring', 'over', 'the', 'model', 'with', 'dimension', 'the', 'archimedean', 'rank', 'the', 'logarithms', 'are', 'determined', 'by', 'algebraic', 'data', 'from', 'the', 'model', 'namely', 'by', 'a', 'section', 'of', 'the', 'model', 'and', 'by', 'an', 'embedding', 'of', 'the', 'value', 'group', 'into', 'its', 'hahn', 'group', 'if', 'the', 'archimedean', 'rank', 'of', 'the', 'value', 'group', 'coincides', 'with', 'the', 'rational', 'rank', 'the', 'logarithms', 'are', 'equivalent', 'we', 'illustrate', 'how', 'one', 'can', 'embed', 'such', 'a', 'logarithm', 'into', 'a', 'model', 'of', 'the', 'real', 'field', 'with', 'restricted', 'analytic', 'functions', 'and', 'exponentiation', 'this', 'allows', 'us', 'to', 'define', 'constructible', 'functions', 'with', 'good', 'lifting', 'properties', 'as', 'an', 'application', 'we', 'establish', 'a', 'lebesgue', 'measure', 'and', 'integration', 'theory', 'with', 'values', 'in', 'the', 'polynomial', 'ring', 'extending', 'and', 'strengthening', 'the', 'construction', 'in', 't', 'kaiser', 'lebesgue', 'measure', 'and', 'integration', 'theory', 'on', 'nonarchimedean', 'real', 'closed', 'fields', 'with', 'archimedean', 'value', 'group', 'proc', 'lond', 'math', 'soc', '116', '2018', 'no', '2', '209247']] | [-0.1139400053917515, 0.044524331141391565, -0.11494588411931711, 0.050184800497928256, -0.07943504462441937, -0.09108129845249509, 0.016754137178147423, 0.3210311668861488, -0.30447266065642575, -0.2295747415390162, 0.11122996211104857, -0.24873722860179856, -0.13877032132851044, 0.18533792640796906, -0.058470065481246405, 0.010655161949299245, -0.043060432847017764, 0.08886493019103496, -0.0942439212641065, -0.29000208231578156, 0.3434140465370464, 0.01035107601439284, 0.23450851599442435, 0.032784386988582395, 0.10234910130185942, 0.06416586020548659, -0.0254474707048344, 0.01644682503353, -0.119317134483977, 0.13167006807105447, 0.24530073486014523, 0.09009527268327391, 0.27402852033264935, -0.37652114695414307, -0.14834891661154292, 0.17810802442148665, 0.060895789740077984, 0.005057259510398249, 0.017039324189351068, -0.27983120672764594, 0.08976415402172609, -0.1991661339680749, -0.16625287917982365, -0.10773035579107025, 0.0616522429296641, 0.02572569881819866, -0.2883985232170248, 0.028101602450161325, 0.041306710122708784, 0.12358612193069844, -0.08457216989865463, -0.12224293934030522, -0.006145655860150741, 0.06534725196318257, 0.020290896875270515, 0.07555894758777205, 0.09239251455239189, -0.08675515046210917, -0.14473617709352932, 0.38231080131531187, -0.08626866523726759, -0.20005018202986816, 0.15194907490248707, -0.18495630012793382, -0.10981706625898369, 0.1107704897003714, 0.12904760675420138, 0.10308088656496363, -0.021083584378092466, 0.2328865501155881, -0.12974543310701847, 0.13400255972175562, 0.06647914730075916, -0.035795805023967245, 0.1279306580079058, 0.06553210093724457, 0.07103658946983739, 0.14388414731630209, 0.0002148537139212501, -0.11021041516108777, -0.34671316980595956, -0.15821322042442756, -0.15911675141052745, 0.09939325707752934, -0.14609650848259745, -0.17724452561990553, 0.40725506950349716, 0.11939953698840161, 0.21258438817246564, 0.13470404701762495, 0.23125773883525239, 0.14899006992841765, 0.10610180185573302, 0.07815652290115725, 0.1414220314711036, 0.2085429232617819, -0.00665790520261825, -0.1436853027910481, 0.0024990242686313154, 0.1556030020530505] |
1,803.00599 | Synchrotron radiation from the fast tail of dynamical ejecta of neutron
star mergers | We find, using high resolution numerical relativistic simulations, that the
tail of the dynamical ejecta of neutron star mergers extends to mildly
relativistic velocities faster than $0.7c$. The kinetic energy of this fast
tail is $\sim 10^{47}$--$10^{49}$ erg, depending on the neutron star equation
of state and on the binary masses. The synchrotron flare arising from the
interaction of this fast tail with the surrounding ISM can power the observed
non-thermal emission that followed GW170817, provided that the ISM density is
$\sim 10^{-2}\,{\rm cm^{-3}}$, the two neutron stars had roughly equal masses
and the neutron star equation of state is soft (small neutron star radii). One
of the generic predictions of this scenario is that the cooling frequency
crosses the X-ray band on a time scale of a few months to a year, leading to a
cooling break in the X-ray light curve. If this dynamical ejecta scenario is
correct, we expect that the synchrotron radio flare from the ejecta that have
produced the macronova/kilonova emission will be observable on time scales of
$10^3$ to $10^5$ days. Further multi-frequency observations will confirm or
rule out this dynamical ejecta scenario.
| astro-ph.HE | we find using high resolution numerical relativistic simulations that the tail of the dynamical ejecta of neutron star mergers extends to mildly relativistic velocities faster than 07c the kinetic energy of this fast tail is sim 10471049 erg depending on the neutron star equation of state and on the binary masses the synchrotron flare arising from the interaction of this fast tail with the surrounding ism can power the observed nonthermal emission that followed gw170817 provided that the ism density is sim 102rm cm3 the two neutron stars had roughly equal masses and the neutron star equation of state is soft small neutron star radii one of the generic predictions of this scenario is that the cooling frequency crosses the xray band on a time scale of a few months to a year leading to a cooling break in the xray light curve if this dynamical ejecta scenario is correct we expect that the synchrotron radio flare from the ejecta that have produced the macronovakilonova emission will be observable on time scales of 103 to 105 days further multifrequency observations will confirm or rule out this dynamical ejecta scenario | [['we', 'find', 'using', 'high', 'resolution', 'numerical', 'relativistic', 'simulations', 'that', 'the', 'tail', 'of', 'the', 'dynamical', 'ejecta', 'of', 'neutron', 'star', 'mergers', 'extends', 'to', 'mildly', 'relativistic', 'velocities', 'faster', 'than', '07c', 'the', 'kinetic', 'energy', 'of', 'this', 'fast', 'tail', 'is', 'sim', '10471049', 'erg', 'depending', 'on', 'the', 'neutron', 'star', 'equation', 'of', 'state', 'and', 'on', 'the', 'binary', 'masses', 'the', 'synchrotron', 'flare', 'arising', 'from', 'the', 'interaction', 'of', 'this', 'fast', 'tail', 'with', 'the', 'surrounding', 'ism', 'can', 'power', 'the', 'observed', 'nonthermal', 'emission', 'that', 'followed', 'gw170817', 'provided', 'that', 'the', 'ism', 'density', 'is', 'sim', '102rm', 'cm3', 'the', 'two', 'neutron', 'stars', 'had', 'roughly', 'equal', 'masses', 'and', 'the', 'neutron', 'star', 'equation', 'of', 'state', 'is', 'soft', 'small', 'neutron', 'star', 'radii', 'one', 'of', 'the', 'generic', 'predictions', 'of', 'this', 'scenario', 'is', 'that', 'the', 'cooling', 'frequency', 'crosses', 'the', 'xray', 'band', 'on', 'a', 'time', 'scale', 'of', 'a', 'few', 'months', 'to', 'a', 'year', 'leading', 'to', 'a', 'cooling', 'break', 'in', 'the', 'xray', 'light', 'curve', 'if', 'this', 'dynamical', 'ejecta', 'scenario', 'is', 'correct', 'we', 'expect', 'that', 'the', 'synchrotron', 'radio', 'flare', 'from', 'the', 'ejecta', 'that', 'have', 'produced', 'the', 'macronovakilonova', 'emission', 'will', 'be', 'observable', 'on', 'time', 'scales', 'of', '103', 'to', '105', 'days', 'further', 'multifrequency', 'observations', 'will', 'confirm', 'or', 'rule', 'out', 'this', 'dynamical', 'ejecta', 'scenario']] | [-0.08980681281536818, 0.20971490421586417, -0.1027913052927364, 0.1134437579502237, -0.1125105618135655, -0.05352215349915771, 0.051063317164116016, 0.4015951079670041, -0.2010898031144936, -0.30872401712153524, 0.05294804462234186, -0.2987270619381558, 0.04085052217964461, 0.22210897658553153, 0.024646788661213802, -0.04181304618337735, 0.11145370278786369, -0.021083768387449617, -0.09557943099631584, -0.2094538409224298, 0.29679648260421615, 0.1173694864772061, 0.14066571795336782, 0.031139120862963682, 0.0760177373836305, -0.10446651626184064, 0.00014632603870754572, -0.07019637428463142, -0.11346405261825897, 0.002305768714734617, 0.16931198319117663, 0.1240615233888521, 0.1922719295320358, -0.42723947636942494, -0.2586588931025907, 0.06135925707745959, 0.16040604708487177, 0.01769662454206357, -0.036601154431252475, -0.23323567980902896, 0.059315477403249335, -0.2739732210041288, -0.18295989460486142, 0.05359490664008467, 0.03413277323716345, 0.023087131392390013, -0.23690065902901844, 0.16183627438221007, 0.01929906717881954, -0.02639891890022047, -0.10308506602003055, -0.05134567945951566, -0.020489739615191273, -0.012390399608825816, 0.09917210204711055, 0.0778144720971664, 0.18151003208987534, -0.11165534757092635, -0.03143134112669065, 0.4159096160176444, -0.05055966855247473, 0.03486662952946549, 0.196106666768154, -0.25461235715644087, -0.1594575286324928, 0.2296584929317176, 0.14895814314564282, 0.12815113018489727, -0.13060413825856074, -0.03743512052258247, -0.02274320365793824, 0.24497243284402206, 0.05752661354580824, 0.024717211959893532, 0.3069832868336197, 0.1669367918816898, -0.003652351917101339, 0.08636869084436127, -0.23799808190844177, -0.02245442041838392, -0.26024723545782624, -0.05912398054379034, -0.15861249135316594, 0.1483411342621517, -0.15601204591663181, -0.10033078605426167, 0.35774812362291275, 0.11310940798880025, 0.17385566957733212, 0.0349333884934073, 0.3158360472207959, 0.1404939505426004, 0.04163780662898512, 0.1335234011842167, 0.33262254437182676, 0.16896966403539487, 0.11550095837867076, -0.27262826425765446, 0.06370671364145085, 0.01409144971064008] |
1,803.006 | Hydrogen Diffusion and Trapping in {\alpha}-Iron: The Role of Quantum
and Anharmonic Fluctuations | We investigate the thermodynamics and kinetics of a hydrogen interstitial in
magnetic {\alpha}-iron, taking account of the quantum fluctuations of the
proton as well as the anharmonicities of lattice vibrations and hydrogen
hopping. We show that the diffusivity of hydrogen in the lattice of BCC iron
deviates strongly from an Arrhenius behavior at and below room temperature. We
compare a quantum transition state theory to explicit ring polymer molecular
dynamics in the calculation of diffusivity and we find that the role of phonons
is to inhibit, not to enhance, diffusivity at intermediate temperatures in
constrast to the usual polaron picture of hopping. We then address the trapping
of hydrogen by a vacancy as a prototype lattice defect. By a sequence of steps
in a thought experiment, each involving a thermodynamic integration, we are
able to separate out the binding free energy of a proton to a defect into
harmonic and anharmonic, and classical and quantum contributions. We find that
about 30% of a typical binding free energy of hydrogen to a lattice defect in
iron is accounted for by finite temperature effects and about half of these
arise from quantum proton fluctuations. This has huge implications for the
comparison between thermal desorption and permeation experiments and standard
electronic structure theory. The implications are even greater for the
interpretation of muon spin resonance experiments.
| cond-mat.mtrl-sci | we investigate the thermodynamics and kinetics of a hydrogen interstitial in magnetic alphairon taking account of the quantum fluctuations of the proton as well as the anharmonicities of lattice vibrations and hydrogen hopping we show that the diffusivity of hydrogen in the lattice of bcc iron deviates strongly from an arrhenius behavior at and below room temperature we compare a quantum transition state theory to explicit ring polymer molecular dynamics in the calculation of diffusivity and we find that the role of phonons is to inhibit not to enhance diffusivity at intermediate temperatures in constrast to the usual polaron picture of hopping we then address the trapping of hydrogen by a vacancy as a prototype lattice defect by a sequence of steps in a thought experiment each involving a thermodynamic integration we are able to separate out the binding free energy of a proton to a defect into harmonic and anharmonic and classical and quantum contributions we find that about 30 of a typical binding free energy of hydrogen to a lattice defect in iron is accounted for by finite temperature effects and about half of these arise from quantum proton fluctuations this has huge implications for the comparison between thermal desorption and permeation experiments and standard electronic structure theory the implications are even greater for the interpretation of muon spin resonance experiments | [['we', 'investigate', 'the', 'thermodynamics', 'and', 'kinetics', 'of', 'a', 'hydrogen', 'interstitial', 'in', 'magnetic', 'alphairon', 'taking', 'account', 'of', 'the', 'quantum', 'fluctuations', 'of', 'the', 'proton', 'as', 'well', 'as', 'the', 'anharmonicities', 'of', 'lattice', 'vibrations', 'and', 'hydrogen', 'hopping', 'we', 'show', 'that', 'the', 'diffusivity', 'of', 'hydrogen', 'in', 'the', 'lattice', 'of', 'bcc', 'iron', 'deviates', 'strongly', 'from', 'an', 'arrhenius', 'behavior', 'at', 'and', 'below', 'room', 'temperature', 'we', 'compare', 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1,803.00601 | Classical and quantum spin dynamics of the honeycomb $\Gamma$ model | Quantum to classical crossover is a fundamental question in dynamics of
quantum many-body systems. In frustrated magnets, for example, it is highly
non-trivial to describe the crossover from the classical spin liquid with a
macroscopically-degenerate ground-state manifold, to the quantum spin liquid
phase with fractionalized excitations. This is an important issue as we often
encounter the demand for a sharp distinction between the classical and quantum
spin liquid behaviors in real materials. Here we take the example of the
classical spin liquid in a frustrated magnet with novel bond-dependent
interactions to investigate the classical dynamics, and critically compare it
with quantum dynamics in the same system. In particular, we focus on signatures
in the dynamical spin structure factor. Combining Landau-Lifshitz dynamics
simulations and the analytical Martin-Siggia-Rose (MSR) approach, we show that
the low energy spectra are described by relaxational dynamics and highly
constrained by the zero mode structure of the underlying degenerate classical
manifold. Further, the higher energy spectra can be explained by precessional
dynamics. Surprisingly, many of these features can also be seen in the
dynamical structure factor in the quantum model studied by finite-temperature
exact diagonalization. We discuss the implications of these results, and their
connection to recent experiments on frustrated magnets with strong spin-orbit
coupling.
| cond-mat.stat-mech cond-mat.str-el | quantum to classical crossover is a fundamental question in dynamics of quantum manybody systems in frustrated magnets for example it is highly nontrivial to describe the crossover from the classical spin liquid with a macroscopicallydegenerate groundstate manifold to the quantum spin liquid phase with fractionalized excitations this is an important issue as we often encounter the demand for a sharp distinction between the classical and quantum spin liquid behaviors in real materials here we take the example of the classical spin liquid in a frustrated magnet with novel bonddependent interactions to investigate the classical dynamics and critically compare it with quantum dynamics in the same system in particular we focus on signatures in the dynamical spin structure factor combining landaulifshitz dynamics simulations and the analytical martinsiggiarose msr approach we show that the low energy spectra are described by relaxational dynamics and highly constrained by the zero mode structure of the underlying degenerate classical manifold further the higher energy spectra can be explained by precessional dynamics surprisingly many of these features can also be seen in the dynamical structure factor in the quantum model studied by finitetemperature exact diagonalization we discuss the implications of these results and their connection to recent experiments on frustrated magnets with strong spinorbit coupling | [['quantum', 'to', 'classical', 'crossover', 'is', 'a', 'fundamental', 'question', 'in', 'dynamics', 'of', 'quantum', 'manybody', 'systems', 'in', 'frustrated', 'magnets', 'for', 'example', 'it', 'is', 'highly', 'nontrivial', 'to', 'describe', 'the', 'crossover', 'from', 'the', 'classical', 'spin', 'liquid', 'with', 'a', 'macroscopicallydegenerate', 'groundstate', 'manifold', 'to', 'the', 'quantum', 'spin', 'liquid', 'phase', 'with', 'fractionalized', 'excitations', 'this', 'is', 'an', 'important', 'issue', 'as', 'we', 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1,803.00602 | Radio emission from the cocoon of a GRB jet: implications for
relativistic supernovae and off-axis GRB emission | Relativistic supernovae constitute a sub-class of type Ic supernovae (SNe).
Their non-thermal, radio emission differs notably from that of regular type Ic
supernovae as they have a fast expansion speed (with velocities $\sim$ 0.6-0.8
c) which can not be explained by a "standard", spherical SN explosion but
advocates for a quickly evolving, mildly relativistic ejecta associated with
the SN. In this paper, we compute the synchrotron radiation emitted by the
cocoon of a long gamma-ray burst jet (GRB). We show that the energy and
velocity of the expanding cocoon, and the radio non-thermal light curves and
spectra are consistent with those observed in relativistic SNe. Thus, the radio
emission from this events is not coming from the SN shock front, but from the
mildly relativistic cocoon produced by the passage of a GRB jet through the
progenitor star. We also show that the cocoon radio emission dominates the GRB
emission at early times for GRBs seen off-axis, and the flux can be larger at
late times compared with on-axis GRBs if the cocoon energy is at least
comparable with respect to the GRB energy.
| astro-ph.HE | relativistic supernovae constitute a subclass of type ic supernovae sne their nonthermal radio emission differs notably from that of regular type ic supernovae as they have a fast expansion speed with velocities sim 0608 c which can not be explained by a standard spherical sn explosion but advocates for a quickly evolving mildly relativistic ejecta associated with the sn in this paper we compute the synchrotron radiation emitted by the cocoon of a long gammaray burst jet grb we show that the energy and velocity of the expanding cocoon and the radio nonthermal light curves and spectra are consistent with those observed in relativistic sne thus the radio emission from this events is not coming from the sn shock front but from the mildly relativistic cocoon produced by the passage of a grb jet through the progenitor star we also show that the cocoon radio emission dominates the grb emission at early times for grbs seen offaxis and the flux can be larger at late times compared with onaxis grbs if the cocoon energy is at least comparable with respect to the grb energy | [['relativistic', 'supernovae', 'constitute', 'a', 'subclass', 'of', 'type', 'ic', 'supernovae', 'sne', 'their', 'nonthermal', 'radio', 'emission', 'differs', 'notably', 'from', 'that', 'of', 'regular', 'type', 'ic', 'supernovae', 'as', 'they', 'have', 'a', 'fast', 'expansion', 'speed', 'with', 'velocities', 'sim', '0608', 'c', 'which', 'can', 'not', 'be', 'explained', 'by', 'a', 'standard', 'spherical', 'sn', 'explosion', 'but', 'advocates', 'for', 'a', 'quickly', 'evolving', 'mildly', 'relativistic', 'ejecta', 'associated', 'with', 'the', 'sn', 'in', 'this', 'paper', 'we', 'compute', 'the', 'synchrotron', 'radiation', 'emitted', 'by', 'the', 'cocoon', 'of', 'a', 'long', 'gammaray', 'burst', 'jet', 'grb', 'we', 'show', 'that', 'the', 'energy', 'and', 'velocity', 'of', 'the', 'expanding', 'cocoon', 'and', 'the', 'radio', 'nonthermal', 'light', 'curves', 'and', 'spectra', 'are', 'consistent', 'with', 'those', 'observed', 'in', 'relativistic', 'sne', 'thus', 'the', 'radio', 'emission', 'from', 'this', 'events', 'is', 'not', 'coming', 'from', 'the', 'sn', 'shock', 'front', 'but', 'from', 'the', 'mildly', 'relativistic', 'cocoon', 'produced', 'by', 'the', 'passage', 'of', 'a', 'grb', 'jet', 'through', 'the', 'progenitor', 'star', 'we', 'also', 'show', 'that', 'the', 'cocoon', 'radio', 'emission', 'dominates', 'the', 'grb', 'emission', 'at', 'early', 'times', 'for', 'grbs', 'seen', 'offaxis', 'and', 'the', 'flux', 'can', 'be', 'larger', 'at', 'late', 'times', 'compared', 'with', 'onaxis', 'grbs', 'if', 'the', 'cocoon', 'energy', 'is', 'at', 'least', 'comparable', 'with', 'respect', 'to', 'the', 'grb', 'energy']] | [-0.023139959646631843, 0.17550253395102514, -0.06516149110646675, 0.16171405695137725, -0.13437056229146116, -0.12058337269674825, 0.003985013919705322, 0.4831105464381044, -0.2050014432448813, -0.26069643207649834, 0.018825776284084775, -0.29454117563917587, 0.05478399500007863, 0.2544991305583845, 0.013169848431813158, -0.11707872041480859, 0.12586023367728796, -0.08350892474940654, -0.08004266870367523, -0.19141350650170352, 0.2939729724090759, 0.15572695230113584, 0.16738334690592677, -0.02088072717078435, 0.0824855196437768, -0.11996169587086036, -0.03816726305597948, -0.010439750627088159, -0.0667933983931621, 0.013084471428199955, 0.17217816962005125, 0.16124255568264861, 0.15179165444114123, -0.41570867741804407, -0.30495082369357673, 0.11239795211919124, 0.19579314452130347, 0.029002147362679472, -0.04418781364232848, -0.28469819538092805, 0.04942447877408046, -0.2849768430877821, -0.19073103658055238, 0.16058282113796019, 0.00496087640868095, 0.09179309384047013, -0.16439881293184083, 0.1566126273120339, 0.006283385402718483, 0.002679661321251289, -0.05486590888935809, 0.009757035864269077, -0.03760531096992528, -0.049457348255521574, 0.11552662484641389, 0.08112239173572997, 0.1356400565608688, -0.1539291636993015, -0.044465294578517583, 0.4864289168794842, -0.04167239430724927, 0.06687752877200104, 0.2025305933911232, -0.22968496849163153, -0.14385261667041999, 0.2532164918476432, 0.12720522107860155, 0.07511379190786417, -0.12232363136971126, -0.031192174048476812, 0.005535414341189291, 0.1122264880408614, 0.038478449780402865, 0.0585844316823489, 0.29312918375185487, 0.09144912611025022, -0.01606920080983242, 0.08636332979316964, -0.2293338567811272, 0.050681947464751, -0.3284206617125006, -0.08810841273668263, -0.16535246326416003, 0.186263546407882, -0.15156810979691648, -0.11587798928477518, 0.388722698011881, 0.03901548147120554, 0.17878988439865087, 0.04195280487930058, 0.27755940691365494, 0.098281330448631, 0.0645520789048928, 0.24436799368350362, 0.3524280839559177, 0.11883468297689789, 0.1453992142822877, -0.22000865622185697, 0.11312681323919527, 0.03294473644904349] |
1,803.00603 | Sharp exponential localization for solutions of the Perturbed Dirac
Equation | We determine the largest non-trivial rate of exponential decay at infinity
for solutions to the Dirac equation
\begin{equation*}
\mathcal{D}_n \psi + \mathbb{V} \psi = 0
\quad \text{ in }\mathbb{R}^n,
\end{equation*} being $\mathcal{D}_n$ the massless Dirac operator in
dimension $n\geq 2$ and $\mathbb{V}$ a (possibly non-Hermitian) matrix-valued
perturbation such that $|\mathbb{V}(x)| \sim |x|^{-\epsilon}$ at infinity, for
$-\infty < \epsilon < 1$. Moreover, we show that our results are sharp for $n
=2,3$, providing explicit examples of solutions that have the prescripted
decay, in presence of a potential with the related behaviour at infinity.
| math.AP | we determine the largest nontrivial rate of exponential decay at infinity for solutions to the dirac equation beginequation mathcald_n psi mathbbv psi 0 quad text in mathbbrn endequation being mathcald_n the massless dirac operator in dimension ngeq 2 and mathbbv a possibly nonhermitian matrixvalued perturbation such that mathbbvx sim xepsilon at infinity for infty epsilon 1 moreover we show that our results are sharp for n 23 providing explicit examples of solutions that have the prescripted decay in presence of a potential with the related behaviour at infinity | [['we', 'determine', 'the', 'largest', 'nontrivial', 'rate', 'of', 'exponential', 'decay', 'at', 'infinity', 'for', 'solutions', 'to', 'the', 'dirac', 'equation', 'beginequation', 'mathcald_n', 'psi', 'mathbbv', 'psi', '0', 'quad', 'text', 'in', 'mathbbrn', 'endequation', 'being', 'mathcald_n', 'the', 'massless', 'dirac', 'operator', 'in', 'dimension', 'ngeq', '2', 'and', 'mathbbv', 'a', 'possibly', 'nonhermitian', 'matrixvalued', 'perturbation', 'such', 'that', 'mathbbvx', 'sim', 'xepsilon', 'at', 'infinity', 'for', 'infty', 'epsilon', '1', 'moreover', 'we', 'show', 'that', 'our', 'results', 'are', 'sharp', 'for', 'n', '23', 'providing', 'explicit', 'examples', 'of', 'solutions', 'that', 'have', 'the', 'prescripted', 'decay', 'in', 'presence', 'of', 'a', 'potential', 'with', 'the', 'related', 'behaviour', 'at', 'infinity']] | [-0.17315937057619207, 0.13779457906079104, -0.009133035654266333, 0.048589057567390216, -0.034443169612780045, -0.22273928700443144, -0.039647575157384075, 0.2995508988013213, -0.2605485564081705, -0.17039990172475233, 0.09405122854313332, -0.4294113511508652, -0.11135153307234226, 0.14424287755813064, 0.014129741989804068, 0.07677733026202045, 0.0028120644026617893, 0.10155676613593924, -0.060529461850401485, -0.21702695898738444, 0.35512570128508514, -0.10485720436420591, 0.13931797608604718, 0.04789726207589452, 0.06952408785147635, -0.06854217162826794, 0.10452135546526325, -0.08772331105288246, -0.23296110036415946, -0.014245038809276175, 0.24330586509714866, 0.061397326727472674, 0.27182245691274776, -0.3548070363935897, -0.1336435474436623, 0.16847604391132964, 0.2357047388769001, -0.010879637285446128, -0.03231928636716015, -0.31327423901329265, 0.17015638566393962, -0.08694484430611477, -0.2500104733860527, -0.05821784408013711, 0.09361351127254552, 0.007578981472928634, -0.3530702638712808, 0.10131880820557561, 0.08975749827343328, 0.019997658347175724, -0.07092816223144188, -0.1727459964090851, -0.010062808505441436, 0.07428593710787466, 0.06535877192649862, 0.10996371204295763, 0.015739790645652806, -0.09466934073502305, -0.050449387967886256, 0.3058431431190807, -0.12542942809690347, -0.26552814778325884, 0.10349064760295482, -0.2365351871523107, -0.15432053446855354, 0.1368314871007855, 0.12211027833493962, 0.16211597999322347, -0.040466675513434684, 0.24689290010913587, -0.0429015994478745, 0.1276595340840968, 0.1555888743311081, 0.029347627685972672, 0.06636884164107942, 0.06973370051696554, 0.11408861652926552, 0.061702732441026246, -0.00401658337060148, -0.02195567914402519, -0.4107415803718841, -0.16447761246998763, -0.18045479140576276, 0.20474609563223503, -0.15974861825531986, -0.1369281204567216, 0.32839689175758896, 0.08356383404274333, 0.21085692969439873, 0.13235992057671792, 0.17042894391664143, 0.1646989758204048, -0.0030605914606445135, 0.08905377708823385, 0.13361824347755347, 0.11169998826266363, 0.10408299869654336, -0.21647791988376913, -0.04271842964828528, 0.08788525553998248] |
1,803.00604 | The Mazur-Ulam property for commutative von Neumann algebras | Let $(\Omega,\mu)$ be a $\sigma$-finite measure space. Given a Banach space
$X$, let the symbol $S(X)$ stand for the unit sphere of $X$. We prove that the
space $L^{\infty} (\Omega,\mu)$ of all complex-valued measurable essentially
bounded functions equipped with the essential supremum norm, satisfies the
Mazur-Ulam property, that is, if $X$ is any complex Banach space, every
surjective isometry $\Delta: S(L^{\infty} (\Omega,\mu))\to S(X)$ admits an
extension to a surjective real linear isometry $T: L^{\infty} (\Omega,\mu)\to
X$. This conclusion is derived from a more general statement which assures that
every surjective isometry $\Delta : S(C(K))\to S(X),$ where $K$ is a Stonean
space, admits an extension to a surjective real linear isometry from $C(K)$
onto $X$.
| math.FA math.OA | let omegamu be a sigmafinite measure space given a banach space x let the symbol sx stand for the unit sphere of x we prove that the space linfty omegamu of all complexvalued measurable essentially bounded functions equipped with the essential supremum norm satisfies the mazurulam property that is if x is any complex banach space every surjective isometry delta slinfty omegamuto sx admits an extension to a surjective real linear isometry t linfty omegamuto x this conclusion is derived from a more general statement which assures that every surjective isometry delta sckto sx where k is a stonean space admits an extension to a surjective real linear isometry from ck onto x | [['let', 'omegamu', 'be', 'a', 'sigmafinite', 'measure', 'space', 'given', 'a', 'banach', 'space', 'x', 'let', 'the', 'symbol', 'sx', 'stand', 'for', 'the', 'unit', 'sphere', 'of', 'x', 'we', 'prove', 'that', 'the', 'space', 'linfty', 'omegamu', 'of', 'all', 'complexvalued', 'measurable', 'essentially', 'bounded', 'functions', 'equipped', 'with', 'the', 'essential', 'supremum', 'norm', 'satisfies', 'the', 'mazurulam', 'property', 'that', 'is', 'if', 'x', 'is', 'any', 'complex', 'banach', 'space', 'every', 'surjective', 'isometry', 'delta', 'slinfty', 'omegamuto', 'sx', 'admits', 'an', 'extension', 'to', 'a', 'surjective', 'real', 'linear', 'isometry', 't', 'linfty', 'omegamuto', 'x', 'this', 'conclusion', 'is', 'derived', 'from', 'a', 'more', 'general', 'statement', 'which', 'assures', 'that', 'every', 'surjective', 'isometry', 'delta', 'sckto', 'sx', 'where', 'k', 'is', 'a', 'stonean', 'space', 'admits', 'an', 'extension', 'to', 'a', 'surjective', 'real', 'linear', 'isometry', 'from', 'ck', 'onto', 'x']] | [-0.18941214099071327, 0.10214167223973411, -0.08146462728592187, 0.04890882371480323, -0.13515940650620245, -0.1995557593774389, 0.001792068500071764, 0.3893962113588879, -0.39452111793851313, -0.03152048500593413, 0.09036238469945436, -0.31502212688157505, -0.11231180777434599, 0.18040886808356102, -0.15607471016912974, -0.017444580607116223, 0.06202331921297379, 0.17345261926000768, -0.16973428021142767, -0.25192628278905016, 0.36837550865655594, -0.11501372258432886, 0.15843538058583032, -0.01704846590503373, 0.21158015483312986, 0.05075427521951496, 0.06350617248310962, -0.009171880754398775, -0.17008214634307395, 0.06757609850134362, 0.3065980465574698, 0.14692832613998855, 0.2632474996083395, -0.26187454923214815, -0.1781064981859262, 0.3307716175829145, 0.0756553020666946, -0.20567145767219533, -0.0031377589717687276, -0.30186162081293083, 0.11741889162327755, -0.05231530275195837, -0.1437282240441577, -0.09489072194661606, 0.1438542072957551, -0.05785764091732827, -0.36745834497904234, -0.024095509707165712, 0.15658303240144794, 0.05420422460037199, -0.0965001142160459, -0.07866773085816849, -0.1115641279283657, 0.03808313018473035, -0.07260768539695577, 0.2806694725528359, 0.08337629780236801, 0.06664739149749618, -0.03526006758911535, 0.36931714880364863, -0.10909406460228968, -0.3078607794236053, 0.07414114052556794, -0.27015821245096794, -0.164537496289069, 0.13069174503060904, 0.04772599894045429, 0.1462620383890515, -0.05252763276750391, 0.34906598349017176, -0.1801433492589488, 0.20986121080985123, 0.08250102849931203, 0.04406871348249049, 0.06045897750353271, 0.09798291573004628, 0.19893291918137535, 0.1118370032404941, 0.039703616360202434, 0.057550752793692726, -0.4079541980458254, -0.18635904212185944, -0.17677916448076508, 0.24115274609489876, -0.14958385072902522, -0.1710386357270181, 0.23255386924244126, -0.01785165978256952, 0.18592303429666737, 0.14489602025026793, 0.19596713833849538, 0.0792151770459234, 0.025361713293982163, 0.08101073084399105, 0.05633345713669603, 0.22953594692305407, -0.032604087887077846, -0.09693593116138469, -0.002692643040791154, 0.22187944342929933] |
1,803.00605 | Measurement of the neutron flux at spallation sources using multi-foil
activation | Activation analysis is used in this work to measure the flux of a fast
neutron beamline at a spallation source over a wide energy spectrum, extending
from thermal to hundreds of MeV. The experimental method is based on the
irradiation of multiple elements and measurements of activation {\gamma}-lines
using a High Purity Germanium detector. The method for data analysis is then
described in detail, with particular attention to the evaluation of
uncertainties. The reactions have been chosen so to cover the whole energy
range, using mainly (n,{\gamma}) for thermal and epithermal neutrons, and
threshold reactions for the fast region. The variety of these reactions allowed
for the unfolding of the neutron spectrum, using an algorithm based on a
Bayesian statistical model, and limited correlations have been found between
the energy groups.
| physics.ins-det nucl-ex | activation analysis is used in this work to measure the flux of a fast neutron beamline at a spallation source over a wide energy spectrum extending from thermal to hundreds of mev the experimental method is based on the irradiation of multiple elements and measurements of activation gammalines using a high purity germanium detector the method for data analysis is then described in detail with particular attention to the evaluation of uncertainties the reactions have been chosen so to cover the whole energy range using mainly ngamma for thermal and epithermal neutrons and threshold reactions for the fast region the variety of these reactions allowed for the unfolding of the neutron spectrum using an algorithm based on a bayesian statistical model and limited correlations have been found between the energy groups | [['activation', 'analysis', 'is', 'used', 'in', 'this', 'work', 'to', 'measure', 'the', 'flux', 'of', 'a', 'fast', 'neutron', 'beamline', 'at', 'a', 'spallation', 'source', 'over', 'a', 'wide', 'energy', 'spectrum', 'extending', 'from', 'thermal', 'to', 'hundreds', 'of', 'mev', 'the', 'experimental', 'method', 'is', 'based', 'on', 'the', 'irradiation', 'of', 'multiple', 'elements', 'and', 'measurements', 'of', 'activation', 'gammalines', 'using', 'a', 'high', 'purity', 'germanium', 'detector', 'the', 'method', 'for', 'data', 'analysis', 'is', 'then', 'described', 'in', 'detail', 'with', 'particular', 'attention', 'to', 'the', 'evaluation', 'of', 'uncertainties', 'the', 'reactions', 'have', 'been', 'chosen', 'so', 'to', 'cover', 'the', 'whole', 'energy', 'range', 'using', 'mainly', 'ngamma', 'for', 'thermal', 'and', 'epithermal', 'neutrons', 'and', 'threshold', 'reactions', 'for', 'the', 'fast', 'region', 'the', 'variety', 'of', 'these', 'reactions', 'allowed', 'for', 'the', 'unfolding', 'of', 'the', 'neutron', 'spectrum', 'using', 'an', 'algorithm', 'based', 'on', 'a', 'bayesian', 'statistical', 'model', 'and', 'limited', 'correlations', 'have', 'been', 'found', 'between', 'the', 'energy', 'groups']] | [-0.013625129044255, 0.1230664089552477, -0.10057378235585873, 0.05457731163065226, -0.014545789531668478, -0.07684245004624356, 0.08231865703697025, 0.3902570895054413, -0.24234845924710158, -0.35483792162578526, 0.056870969270092955, -0.30871347160938817, -0.008439235367904637, 0.26120454372432905, 0.018785764724291675, 0.091664798497329, 0.0904800507510152, 0.05513041018586577, -0.056625781846739255, -0.15128185010145467, 0.3121223839031859, 0.16259229759052965, 0.2979325166235159, 0.10613540767955075, 0.10340081768568947, -0.006409201819008885, -0.028016800089305592, -0.027136996104062058, -0.10815903038596948, 0.10682405083518447, 0.27125423818378785, 0.09314917880714736, 0.20310301982036982, -0.40179004107836547, -0.2601980190183825, 0.13481670653603914, 0.11006491961497955, 0.07335963251623716, -0.07004830559879144, -0.24445814704913504, 0.0866905203345054, -0.20801653718675367, -0.06311139012935735, -0.05955966854937204, 0.01073414314083243, 0.07296895872417639, -0.263883231573859, 0.02447124879153175, -0.007684914793335755, 0.062478751733273497, -0.07558767664608837, -0.1433656523199681, 0.015716568012330824, 0.09325634396300857, 0.03132025316048356, 0.005447194629832249, 0.16820693748668974, -0.09084392594071798, -0.06034304442964779, 0.34037780888264874, -0.02700813582437184, -0.13476846438214068, 0.14679153056154098, -0.14400899157511027, -0.14896971334610845, 0.2108685675944479, 0.1844323991921389, 0.1514003858937107, -0.200259392942437, 0.04654880947765996, 0.021337522279101472, 0.18540135850305206, 0.061803896385351664, 0.0035346698527800218, 0.1742326654138342, 0.25422024141591865, 0.007371389467041684, 0.10440820888864971, -0.1890912929244112, -0.041027695502204295, -0.2812579179236857, -0.10327716301842273, -0.17001897795836776, 0.03067418856045075, -0.02236327905348282, -0.1324234157178608, 0.4042944390013928, 0.0976069638334954, 0.19016543899499277, -0.011875587481763641, 0.2878739049245838, 0.08324167818161624, 0.07847608314233455, 0.03849063110751107, 0.2581416190964461, 0.16036019831334192, 0.10605328923130394, -0.2280244532677537, 0.05640822580752482, -0.01504605853723945] |
1,803.00606 | On Oracle-Efficient PAC RL with Rich Observations | We study the computational tractability of PAC reinforcement learning with
rich observations. We present new provably sample-efficient algorithms for
environments with deterministic hidden state dynamics and stochastic rich
observations. These methods operate in an oracle model of computation --
accessing policy and value function classes exclusively through standard
optimization primitives -- and therefore represent computationally efficient
alternatives to prior algorithms that require enumeration. With stochastic
hidden state dynamics, we prove that the only known sample-efficient algorithm,
OLIVE, cannot be implemented in the oracle model. We also present several
examples that illustrate fundamental challenges of tractable PAC reinforcement
learning in such general settings.
| cs.LG stat.ML | we study the computational tractability of pac reinforcement learning with rich observations we present new provably sampleefficient algorithms for environments with deterministic hidden state dynamics and stochastic rich observations these methods operate in an oracle model of computation accessing policy and value function classes exclusively through standard optimization primitives and therefore represent computationally efficient alternatives to prior algorithms that require enumeration with stochastic hidden state dynamics we prove that the only known sampleefficient algorithm olive cannot be implemented in the oracle model we also present several examples that illustrate fundamental challenges of tractable pac reinforcement learning in such general settings | [['we', 'study', 'the', 'computational', 'tractability', 'of', 'pac', 'reinforcement', 'learning', 'with', 'rich', 'observations', 'we', 'present', 'new', 'provably', 'sampleefficient', 'algorithms', 'for', 'environments', 'with', 'deterministic', 'hidden', 'state', 'dynamics', 'and', 'stochastic', 'rich', 'observations', 'these', 'methods', 'operate', 'in', 'an', 'oracle', 'model', 'of', 'computation', 'accessing', 'policy', 'and', 'value', 'function', 'classes', 'exclusively', 'through', 'standard', 'optimization', 'primitives', 'and', 'therefore', 'represent', 'computationally', 'efficient', 'alternatives', 'to', 'prior', 'algorithms', 'that', 'require', 'enumeration', 'with', 'stochastic', 'hidden', 'state', 'dynamics', 'we', 'prove', 'that', 'the', 'only', 'known', 'sampleefficient', 'algorithm', 'olive', 'can', 'not', 'be', 'implemented', 'in', 'the', 'oracle', 'model', 'we', 'also', 'present', 'several', 'examples', 'that', 'illustrate', 'fundamental', 'challenges', 'of', 'tractable', 'pac', 'reinforcement', 'learning', 'in', 'such', 'general', 'settings']] | [-0.04216348970917487, 0.02421017917519145, -0.07289436634740618, 0.11500106922507582, -0.15666554444976669, -0.2302404370361773, 0.08684526432287132, 0.46829207647259874, -0.3254404028896058, -0.344608165176198, 0.09765999554541183, -0.18238981453572758, -0.20951082948410865, 0.19543433039550587, -0.10417515233517533, 0.10929551696644561, 0.08079171659295807, -0.02191472444498893, -0.057464614064757724, -0.28620960430638626, 0.24080299643602562, 0.01829110181862765, 0.2537313043554821, -0.04207421908164305, 0.1328149626566337, -0.018019056279617963, 0.03566263446879416, 0.016678302712498767, -0.12748782835417544, 0.12981843958507375, 0.35073171067282116, 0.2629097965753425, 0.34448424328376753, -0.4427187693406745, -0.1986755094315746, 0.14621245543274217, 0.1499138131897924, 0.12185245156656987, -0.08708326247668281, -0.2890520745722374, 0.036793781264620545, -0.16068922788467221, -0.039901867466241046, -0.211905743032325, -0.06291720388678483, -0.0010851857801069422, -0.30569244914291666, 0.012988276588027411, 0.07103302822641955, 0.024452088285458855, -0.02418135677344433, -0.1390482896240428, 0.11565677197834495, 0.07518494458371165, 0.012551949015993736, 0.00435002856325395, 0.14140092087264108, -0.17601691640102038, -0.22526902473522442, 0.2951755747383479, -0.027835179738110245, -0.19263483974898216, 0.22649081659014567, -0.03970667315038419, -0.23559344403150648, 0.11875417012499996, 0.23450835012268312, 0.1778470397843878, -0.19504105120823526, 0.10261014054845188, -0.07695298677882051, 0.17342011609557315, -0.039699680955693276, 0.021833848469259013, 0.09452982197312804, 0.2087225422613544, 0.09157167381081398, 0.14664701368408462, -0.01141618381226712, -0.18565415990271486, -0.2503519608168909, -0.1091844187980278, -0.16289542017891856, -0.02247496996530779, -0.11680204459044755, -0.16296031513242143, 0.33689076899744497, 0.2242516302872486, 0.15856957037260036, 0.14573172120248326, 0.34343500328388543, 0.05828355307146759, 0.03127380644921029, 0.2023463178296933, 0.20465614224235426, 0.06114878258575676, 0.06862168107642838, -0.16163151201764397, 0.1597316767236605, 0.025941852641540884] |
1,803.00607 | Optimization-Based Algorithm for Evolutionarily Stable Strategies
against Pure Mutations | Evolutionarily stable strategy (ESS) is an important solution concept in game
theory which has been applied frequently to biological models. Informally an
ESS is a strategy that if followed by the population cannot be taken over by a
mutation strategy that is initially rare. Finding such a strategy has been
shown to be difficult from a theoretical complexity perspective. We present an
algorithm for the case where mutations are restricted to pure strategies, and
present experiments on several game classes including random and a
recently-proposed cancer model. Our algorithm is based on a mixed-integer
non-convex feasibility program formulation, which constitutes the first general
optimization formulation for this problem. It turns out that the vast majority
of the games included in the experiments contain ESS with small support, and
our algorithm is outperformed by a support-enumeration based approach. However
we suspect our algorithm may be useful in the future as games are studied that
have ESS with potentially larger and unknown support size.
| cs.GT cs.AI econ.TH math.OC q-bio.PE | evolutionarily stable strategy ess is an important solution concept in game theory which has been applied frequently to biological models informally an ess is a strategy that if followed by the population cannot be taken over by a mutation strategy that is initially rare finding such a strategy has been shown to be difficult from a theoretical complexity perspective we present an algorithm for the case where mutations are restricted to pure strategies and present experiments on several game classes including random and a recentlyproposed cancer model our algorithm is based on a mixedinteger nonconvex feasibility program formulation which constitutes the first general optimization formulation for this problem it turns out that the vast majority of the games included in the experiments contain ess with small support and our algorithm is outperformed by a supportenumeration based approach however we suspect our algorithm may be useful in the future as games are studied that have ess with potentially larger and unknown support size | [['evolutionarily', 'stable', 'strategy', 'ess', 'is', 'an', 'important', 'solution', 'concept', 'in', 'game', 'theory', 'which', 'has', 'been', 'applied', 'frequently', 'to', 'biological', 'models', 'informally', 'an', 'ess', 'is', 'a', 'strategy', 'that', 'if', 'followed', 'by', 'the', 'population', 'can', 'not', 'be', 'taken', 'over', 'by', 'a', 'mutation', 'strategy', 'that', 'is', 'initially', 'rare', 'finding', 'such', 'a', 'strategy', 'has', 'been', 'shown', 'to', 'be', 'difficult', 'from', 'a', 'theoretical', 'complexity', 'perspective', 'we', 'present', 'an', 'algorithm', 'for', 'the', 'case', 'where', 'mutations', 'are', 'restricted', 'to', 'pure', 'strategies', 'and', 'present', 'experiments', 'on', 'several', 'game', 'classes', 'including', 'random', 'and', 'a', 'recentlyproposed', 'cancer', 'model', 'our', 'algorithm', 'is', 'based', 'on', 'a', 'mixedinteger', 'nonconvex', 'feasibility', 'program', 'formulation', 'which', 'constitutes', 'the', 'first', 'general', 'optimization', 'formulation', 'for', 'this', 'problem', 'it', 'turns', 'out', 'that', 'the', 'vast', 'majority', 'of', 'the', 'games', 'included', 'in', 'the', 'experiments', 'contain', 'ess', 'with', 'small', 'support', 'and', 'our', 'algorithm', 'is', 'outperformed', 'by', 'a', 'supportenumeration', 'based', 'approach', 'however', 'we', 'suspect', 'our', 'algorithm', 'may', 'be', 'useful', 'in', 'the', 'future', 'as', 'games', 'are', 'studied', 'that', 'have', 'ess', 'with', 'potentially', 'larger', 'and', 'unknown', 'support', 'size']] | [-0.03936728811607248, 0.058631172765425066, -0.15121699733671123, 0.07875066112588953, -0.06659158876016276, -0.18404577555491325, 0.05793446667110087, 0.397139232829903, -0.24413585887049083, -0.293317314458689, 0.13471714956441572, -0.20989409478289295, -0.2183056193012974, 0.21448241798983267, -0.10655919906545293, 0.04806684318607972, 0.09492315844644184, 0.014290802905129062, 0.05046323568913741, -0.29905209955428785, 0.28465550003521556, 0.06606489865477254, 0.27282619083668164, 0.021389199386316317, 0.09044532841545772, -0.018237137045987225, -0.0032203598867779895, 0.11861286442266938, -0.07467880236763898, 0.0786519996285795, 0.31946262887946814, 0.23250326203515775, 0.3647867699418171, -0.4005161835984499, -0.20010424209155003, 0.15043387366573752, 0.13313438629668298, 0.15671339077317376, -0.07535292824621048, -0.2545755561814862, 0.11481626829337961, -0.16251476082870345, -0.08472571766900795, -0.09174192613522511, 0.01918918889498821, -0.0033132269968462673, -0.31514644459821284, -0.004259703723989703, 0.02948740380780231, 0.007808066956284974, -0.05750680257807727, -0.1612879242309668, 0.020605538769073232, 0.08669617660861048, 0.039856708301719924, 0.04411766645757274, 0.09506554250248972, -0.08399304181745529, -0.18356954176582535, 0.38717331577891506, -0.015634208385125494, -0.2141011089006048, 0.17835929145731813, -0.04011367062210209, -0.1639388385947426, 0.1503013073535705, 0.16999836583955236, 0.17839959025222027, -0.16648752021712515, 0.07846930698221434, -0.0987575913629966, 0.1746544627656723, -0.008121703248356043, 0.0006835390486679741, 0.19598152272634634, 0.24521513668716782, 0.1153684247954875, 0.13728010805861243, -0.03803180589881024, -0.14599812414819074, -0.2540763623776765, -0.11333942259546875, -0.1669700966478199, 0.008026398004145494, -0.026080700847317385, -0.1375690269875728, 0.34297193227088607, 0.1419738488049781, 0.13278591603523604, 0.06074481590990161, 0.2781229609462582, 0.10235946322647556, 0.08801685526886564, 0.07272746587563077, 0.21531974621416058, 0.06650080118776748, 0.08425362973350364, -0.2015786933551692, 0.13247884037605498, 0.033878766350954034] |
1,803.00608 | Longitudinal Bunch Diagnostics using Coherent Transition Radiation
Spectroscopy | The generation and properties of transition radiation (TR) are thoroughly
treated. The spectral energy density, as described by the Ginzburg-Frank
formula, is computed analytically, and the modifications caused by the finite
size of the TR screen and by near-field diffraction effects are carefully
analyzed. The principles of electron bunch shape reconstruction using coherent
transition radiation are outlined. Spectroscopic measure- ments yield only the
magnitude of the longitudinal form factor but not its phase. Two phase
retrieval methods are investigated and illustrated with model calculations:
analytic phase computation by means of the Kramers- Kronig dispersion relation,
and iterative phase retrieval. Particular attention is paid to the ambiguities
which are unavoidable in the reconstruction of longitudinal charge density
profiles from spectroscopic data. The origin of these ambiguities has been
identified and a thorough mathematical analysis is presented. The experimental
part of the paper comprises a description of our multichannel infrared and THz
spectrometer and a selection of measurements at FLASH, comparing the bunch
profiles derived from spectroscopic data with those determined with a
transversely deflecting microwave structure. A rigorous derivation of the
Kramers-Kronig phase formula is presented in Appendix A. Numerous analytic
model calculations can be found in Appendix B. The differences between normal
and truncated Gaussians are discussed in Appendix C. Finally, Appendix D
contains a short description of the propagation of an electromagnetic wave
front by two-dimensional fast Fourier transformation. This is the basis of a
powerful numerical Mathematica code THzTransport, which permits the propagation
of electromagnetic wave fronts through a beam line consisting of drift spaces,
lenses, mirrors and apertures.
| physics.acc-ph | the generation and properties of transition radiation tr are thoroughly treated the spectral energy density as described by the ginzburgfrank formula is computed analytically and the modifications caused by the finite size of the tr screen and by nearfield diffraction effects are carefully analyzed the principles of electron bunch shape reconstruction using coherent transition radiation are outlined spectroscopic measure ments yield only the magnitude of the longitudinal form factor but not its phase two phase retrieval methods are investigated and illustrated with model calculations analytic phase computation by means of the kramers kronig dispersion relation and iterative phase retrieval particular attention is paid to the ambiguities which are unavoidable in the reconstruction of longitudinal charge density profiles from spectroscopic data the origin of these ambiguities has been identified and a thorough mathematical analysis is presented the experimental part of the paper comprises a description of our multichannel infrared and thz spectrometer and a selection of measurements at flash comparing the bunch profiles derived from spectroscopic data with those determined with a transversely deflecting microwave structure a rigorous derivation of the kramerskronig phase formula is presented in appendix a numerous analytic model calculations can be found in appendix b the differences between normal and truncated gaussians are discussed in appendix c finally appendix d contains a short description of the propagation of an electromagnetic wave front by twodimensional fast fourier transformation this is the basis of a powerful numerical mathematica code thztransport which permits the propagation of electromagnetic wave fronts through a beam line consisting of drift spaces lenses mirrors and apertures | [['the', 'generation', 'and', 'properties', 'of', 'transition', 'radiation', 'tr', 'are', 'thoroughly', 'treated', 'the', 'spectral', 'energy', 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1,803.00609 | On Statistical Non-Significance | Significance tests are probably the most extended form of inference in
empirical research, and significance is often interpreted as providing greater
informational content than non-significance. In this article we show, however,
that rejection of a point null often carries very little information, while
failure to reject may be highly informative. This is particularly true in
empirical contexts where data sets are large and where there are rarely reasons
to put substantial prior probability on a point null. Our results challenge the
usual practice of conferring point null rejections a higher level of scientific
significance than non-rejections. In consequence, we advocate a visible
reporting and discussion of non-significant results in empirical practice.
| stat.OT stat.AP stat.ME | significance tests are probably the most extended form of inference in empirical research and significance is often interpreted as providing greater informational content than nonsignificance in this article we show however that rejection of a point null often carries very little information while failure to reject may be highly informative this is particularly true in empirical contexts where data sets are large and where there are rarely reasons to put substantial prior probability on a point null our results challenge the usual practice of conferring point null rejections a higher level of scientific significance than nonrejections in consequence we advocate a visible reporting and discussion of nonsignificant results in empirical practice | [['significance', 'tests', 'are', 'probably', 'the', 'most', 'extended', 'form', 'of', 'inference', 'in', 'empirical', 'research', 'and', 'significance', 'is', 'often', 'interpreted', 'as', 'providing', 'greater', 'informational', 'content', 'than', 'nonsignificance', 'in', 'this', 'article', 'we', 'show', 'however', 'that', 'rejection', 'of', 'a', 'point', 'null', 'often', 'carries', 'very', 'little', 'information', 'while', 'failure', 'to', 'reject', 'may', 'be', 'highly', 'informative', 'this', 'is', 'particularly', 'true', 'in', 'empirical', 'contexts', 'where', 'data', 'sets', 'are', 'large', 'and', 'where', 'there', 'are', 'rarely', 'reasons', 'to', 'put', 'substantial', 'prior', 'probability', 'on', 'a', 'point', 'null', 'our', 'results', 'challenge', 'the', 'usual', 'practice', 'of', 'conferring', 'point', 'null', 'rejections', 'a', 'higher', 'level', 'of', 'scientific', 'significance', 'than', 'nonrejections', 'in', 'consequence', 'we', 'advocate', 'a', 'visible', 'reporting', 'and', 'discussion', 'of', 'nonsignificant', 'results', 'in', 'empirical', 'practice']] | [-0.08197447258174759, 0.05637279986827211, -0.07997998101001774, 0.16612157397480173, -0.10916619503616609, -0.13750664363191886, 0.12050410242835906, 0.38327667740258303, -0.1661129120324569, -0.3137384527151219, 0.1246341038992713, -0.2877572604751384, -0.14873844062147493, 0.1940426044298378, -0.1375515411904251, 0.01691698495150459, 0.10069969205651433, 0.049685856348580935, -0.041590726796791634, -0.24641051726754415, 0.2658262851055373, 0.1222851162776351, 0.3215714944526553, 0.04850930983031338, 0.023969543755943463, -0.03897972065024078, -0.07761188596910373, 0.039131408421830695, -0.049900354595592944, 0.12721948260018093, 0.34292078652334484, 0.21135114480063996, 0.35023374065164137, -0.403045056624846, -0.19879660404668273, 0.14257988574575972, 0.14176806064999917, 0.07981904063966463, -0.06828423268690875, -0.256689089494334, 0.10557850275231018, -0.12671431248838252, -0.10848333119753409, -0.07171501217155972, 0.009307104306803508, -0.03266857699649832, -0.2510492520660839, 0.10491420601875606, 0.07529587630044923, 0.13957155104726554, 0.002096382005732845, -0.1624606542289257, -0.0021259361687539654, 0.06651363562877205, 0.14966324394653466, 0.04351103755841244, 0.11137536176988347, -0.14482466732998464, -0.09626270127482713, 0.39204399146308955, -0.003407914921461435, -0.22405156445774166, 0.22304489617024295, -0.18473296011374754, -0.19383159708549183, 0.11100562525574456, 0.1474647590001537, 0.05884493679821555, -0.16944260690572926, 0.02570665185181001, -0.013039631633595988, 0.17087100000432903, 0.08226606770185754, 0.03718506404283372, 0.24152103604494848, 0.17287177783860402, 0.04901813288134607, 0.08771334418984637, -0.08097031127280471, -0.113012454171919, -0.31556961538100786, -0.16069746794792908, -0.17029190259054303, 0.06455731351161376, -0.0835629148108472, -0.14939068994400176, 0.310683936714618, 0.21972452247705818, 0.20013631862503561, 0.028413947832516648, 0.2901182019617409, 0.08708890467374163, 0.03648501996120269, 0.06551152053289115, 0.2470616887704554, 0.030164693228223106, 0.04153756868644533, -0.04115121803532185, 0.14658086973411794, -0.07318686935203997] |
1,803.0061 | Exact-exchange density functional theory of the integer quantum Hall
effect: strict 2D limit | A strict bidimensional (strict-2D) exact-exchange (EE) formalism within the
framework of density-functional theory (DFT) has been developed and applied to
the case of an electron gas subjected to a strong perpendicular magnetic field,
that drives the system to the regime of the integer quantum Hall effect (IQHE).
As the filling of the emerging Landau levels proceeds, two main features
results: i) the EE energy minimizes with a discontinuous derivative at every
integer filling factor $\nu$; and ii) the EE potential display sharp
discontinuities at every integer $\nu$. The present contribution provides a
natural improvement as compared with the widely used local-spin-density
approximation (LSDA), since the EE energy functional fully contains the effect
of the magnetic field, and includes an inter-layer exchange coupling for
multilayer systems. As a consistency test, the LSDA is derived as the leading
term of a low-field expansion of the EE energy and potential.
| cond-mat.mes-hall | a strict bidimensional strict2d exactexchange ee formalism within the framework of densityfunctional theory dft has been developed and applied to the case of an electron gas subjected to a strong perpendicular magnetic field that drives the system to the regime of the integer quantum hall effect iqhe as the filling of the emerging landau levels proceeds two main features results i the ee energy minimizes with a discontinuous derivative at every integer filling factor nu and ii the ee potential display sharp discontinuities at every integer nu the present contribution provides a natural improvement as compared with the widely used localspindensity approximation lsda since the ee energy functional fully contains the effect of the magnetic field and includes an interlayer exchange coupling for multilayer systems as a consistency test the lsda is derived as the leading term of a lowfield expansion of the ee energy and potential | [['a', 'strict', 'bidimensional', 'strict2d', 'exactexchange', 'ee', 'formalism', 'within', 'the', 'framework', 'of', 'densityfunctional', 'theory', 'dft', 'has', 'been', 'developed', 'and', 'applied', 'to', 'the', 'case', 'of', 'an', 'electron', 'gas', 'subjected', 'to', 'a', 'strong', 'perpendicular', 'magnetic', 'field', 'that', 'drives', 'the', 'system', 'to', 'the', 'regime', 'of', 'the', 'integer', 'quantum', 'hall', 'effect', 'iqhe', 'as', 'the', 'filling', 'of', 'the', 'emerging', 'landau', 'levels', 'proceeds', 'two', 'main', 'features', 'results', 'i', 'the', 'ee', 'energy', 'minimizes', 'with', 'a', 'discontinuous', 'derivative', 'at', 'every', 'integer', 'filling', 'factor', 'nu', 'and', 'ii', 'the', 'ee', 'potential', 'display', 'sharp', 'discontinuities', 'at', 'every', 'integer', 'nu', 'the', 'present', 'contribution', 'provides', 'a', 'natural', 'improvement', 'as', 'compared', 'with', 'the', 'widely', 'used', 'localspindensity', 'approximation', 'lsda', 'since', 'the', 'ee', 'energy', 'functional', 'fully', 'contains', 'the', 'effect', 'of', 'the', 'magnetic', 'field', 'and', 'includes', 'an', 'interlayer', 'exchange', 'coupling', 'for', 'multilayer', 'systems', 'as', 'a', 'consistency', 'test', 'the', 'lsda', 'is', 'derived', 'as', 'the', 'leading', 'term', 'of', 'a', 'lowfield', 'expansion', 'of', 'the', 'ee', 'energy', 'and', 'potential']] | [-0.16783380899650097, 0.07545637459257357, -0.06557877977898549, 0.07950433351383353, -0.002141609711393918, -0.14638271940272454, 0.04353089195800537, 0.30155871090900205, -0.26273994766572834, -0.26981301141315944, -0.0122821096503112, -0.2981486592875564, -0.128213844057938, 0.1556907340769388, 0.06927025841287104, 0.04048352532586313, -0.003608500219766714, 0.022592179883871074, -0.07170072126629673, -0.20669160546473395, 0.2715522918486585, 0.08569029024531044, 0.2903772180466211, 0.10599170579919465, 0.08771521881324788, 0.02881213351892792, 0.06759305277596904, 0.0707375758457315, -0.1279546463759301, 0.05637646065658111, 0.23607980038919676, -0.03596622988817678, 0.3010309019878711, -0.4348484606793858, -0.17514575677301913, 0.0369378348066127, 0.09828431980225118, 0.09415911713117504, -0.0436077577967758, -0.23987933971491732, 0.05320556328092919, -0.19268088851583332, -0.10879148647495329, -0.07482257842609327, 0.01118406277207326, -0.0038036926368838304, -0.3285180268608263, 0.11388888469201908, 0.02705222490077762, 0.048084066743796616, -0.0998759896507206, -0.15982814956127908, -0.02324765305710982, 0.08328221803722419, 0.04777100149937587, 0.11951450303464822, 0.13898429733442705, -0.1206281530487029, -0.143017761750555, 0.39645736228215367, -0.10383822475336747, -0.14996731179377243, 0.1635122620388993, -0.14777140482727516, -0.08930018774476157, 0.1604311224876891, 0.12989853821337632, 0.046642962558919004, -0.1225095817752259, 0.1745973682790127, 0.0173009460830219, 0.14875873042372603, 0.025414825010445122, 0.04992656387733168, 0.19810629311362155, 0.14801921614139557, 0.05478770129242274, 0.14835800347396824, -0.1496971266643999, -0.08509770249597065, -0.3043414396680381, -0.1608331597835786, -0.19360726708163545, 0.05450370514682456, -0.06071666827423766, -0.19105000435438466, 0.39090185812419304, 0.09580684996095218, 0.1477543584673908, 0.011355154517693573, 0.301542444049368, 0.2175318367794405, 0.06783108000423478, 0.0736989580598749, 0.23845765701405805, 0.17068984509407453, 0.12220294415083242, -0.27046774978086047, 0.02190391620467991, 0.054430760293305944] |
1,803.00611 | Optimal investment-consumption problem: post-retirement with minimum
guarantee | We study the optimal investment-consumption problem for a member of defined
contribution plan during the decumulation phase. For a fixed annuitization
time, to achieve higher final annuity, we consider a variable consumption rate.
Moreover, to have a minimum guarantee for the final annuity, a safety level for
the wealth process is considered. To solve the stochastic optimal control
problem via dynamic programming, we obtain a Hamilton-Jacobi-Bellman (HJB)
equation on a bounded domain. The existence and uniqueness of classical
solutions are proved through the dual transformation. We apply the finite
difference method to find numerical approximations of the solution of the HJB
equation. Finally, the simulation results for the optimal
investment-consumption strategies, optimal wealth process and the final annuity
for different admissible ranges of consumption are given. Furthermore, by
taking into account the market present value of the cash flows before and after
the annuitization, we compare the outcomes of different scenarios.
| q-fin.PM math.OC math.PR | we study the optimal investmentconsumption problem for a member of defined contribution plan during the decumulation phase for a fixed annuitization time to achieve higher final annuity we consider a variable consumption rate moreover to have a minimum guarantee for the final annuity a safety level for the wealth process is considered to solve the stochastic optimal control problem via dynamic programming we obtain a hamiltonjacobibellman hjb equation on a bounded domain the existence and uniqueness of classical solutions are proved through the dual transformation we apply the finite difference method to find numerical approximations of the solution of the hjb equation finally the simulation results for the optimal investmentconsumption strategies optimal wealth process and the final annuity for different admissible ranges of consumption are given furthermore by taking into account the market present value of the cash flows before and after the annuitization we compare the outcomes of different scenarios | [['we', 'study', 'the', 'optimal', 'investmentconsumption', 'problem', 'for', 'a', 'member', 'of', 'defined', 'contribution', 'plan', 'during', 'the', 'decumulation', 'phase', 'for', 'a', 'fixed', 'annuitization', 'time', 'to', 'achieve', 'higher', 'final', 'annuity', 'we', 'consider', 'a', 'variable', 'consumption', 'rate', 'moreover', 'to', 'have', 'a', 'minimum', 'guarantee', 'for', 'the', 'final', 'annuity', 'a', 'safety', 'level', 'for', 'the', 'wealth', 'process', 'is', 'considered', 'to', 'solve', 'the', 'stochastic', 'optimal', 'control', 'problem', 'via', 'dynamic', 'programming', 'we', 'obtain', 'a', 'hamiltonjacobibellman', 'hjb', 'equation', 'on', 'a', 'bounded', 'domain', 'the', 'existence', 'and', 'uniqueness', 'of', 'classical', 'solutions', 'are', 'proved', 'through', 'the', 'dual', 'transformation', 'we', 'apply', 'the', 'finite', 'difference', 'method', 'to', 'find', 'numerical', 'approximations', 'of', 'the', 'solution', 'of', 'the', 'hjb', 'equation', 'finally', 'the', 'simulation', 'results', 'for', 'the', 'optimal', 'investmentconsumption', 'strategies', 'optimal', 'wealth', 'process', 'and', 'the', 'final', 'annuity', 'for', 'different', 'admissible', 'ranges', 'of', 'consumption', 'are', 'given', 'furthermore', 'by', 'taking', 'into', 'account', 'the', 'market', 'present', 'value', 'of', 'the', 'cash', 'flows', 'before', 'and', 'after', 'the', 'annuitization', 'we', 'compare', 'the', 'outcomes', 'of', 'different', 'scenarios']] | [-0.11104965889024616, 0.02677749710416557, -0.11447802444438863, 0.08132208755023686, -0.09111784354919283, -0.12226926422190686, 0.12619038853664816, 0.34114011065473177, -0.3190098234902549, -0.27174298852891815, 0.18040698166359956, -0.2512565577951636, -0.08399484454598648, 0.1800443547706903, -0.07999283634588764, 0.09669766299401884, 0.08780629537685078, 0.01392095379642402, -0.04902132453137873, -0.2808849486439113, 0.32531202026019923, 0.015067837231897361, 0.27578723118547965, 0.034699352503027955, 0.19231355747297432, 0.0007553155971876044, 0.0025001349519716194, 0.008882826235413626, -0.1892254869501794, 0.06465493469338691, 0.2688467303500665, 0.16183390883136764, 0.3651452162827285, -0.41166702366360025, -0.1706650691609583, 0.13812659159402937, 0.07422226958500301, 0.09157598706961467, -0.04202300762381429, -0.23532905055839098, 0.11422496117706972, -0.18117219423535988, -0.12965533112650676, -0.0482115616392813, 0.0006020924289223572, 0.0344467796369869, -0.3444177869419006, 0.07347037389708991, 0.0016732717130259172, -0.014002418108531181, -0.16248801325306, -0.1196959207993963, -0.03168188647940656, 0.14131844388660267, 0.059415641043794695, -0.033386987150417, 0.09367105499255342, -0.11938787472822907, -0.14703878901886525, 0.3533521155512195, -0.05863172047970422, -0.21984413051546015, 0.10981201179424263, -0.09225812411885585, -0.09587867375207287, 0.13055115400980047, 0.22007653407986885, 0.1477246168162057, -0.17948715324322415, 0.06735193651571982, -0.029992171876989798, 0.12805691490794796, 0.04136570066596005, 0.0009775121853569683, 0.12346775936801603, 0.17878935712432822, 0.16179090437775367, 0.18777342325551374, 0.0076499516113556374, -0.16492481517994048, -0.31927687777144625, -0.1535369977894677, -0.10293812566399821, 0.03755777790087787, -0.11385769289981848, -0.1247947583998868, 0.38184246443064007, 0.14216972462060423, 0.1400575472646399, 0.1240712958665577, 0.2656394252121843, 0.19777113075841476, -0.047845645811923763, 0.08486185214383565, 0.21443504175257605, 0.055528540821092216, 0.14035245899838822, -0.26464411951385636, 0.12136707077919204, 0.09525728935639094] |
1,803.00612 | Knowledge Base Relation Detection via Multi-View Matching | Relation detection is a core component for Knowledge Base Question Answering
(KBQA). In this paper, we propose a KB relation detection model via multi-view
matching which utilizes more useful information extracted from question and KB.
The matching inside each view is through multiple perspectives to compare two
input texts thoroughly. All these components are designed in an end-to-end
trainable neural network model. Experiments on SimpleQuestions and WebQSP yield
state-of-the-art results.
| cs.AI | relation detection is a core component for knowledge base question answering kbqa in this paper we propose a kb relation detection model via multiview matching which utilizes more useful information extracted from question and kb the matching inside each view is through multiple perspectives to compare two input texts thoroughly all these components are designed in an endtoend trainable neural network model experiments on simplequestions and webqsp yield stateoftheart results | [['relation', 'detection', 'is', 'a', 'core', 'component', 'for', 'knowledge', 'base', 'question', 'answering', 'kbqa', 'in', 'this', 'paper', 'we', 'propose', 'a', 'kb', 'relation', 'detection', 'model', 'via', 'multiview', 'matching', 'which', 'utilizes', 'more', 'useful', 'information', 'extracted', 'from', 'question', 'and', 'kb', 'the', 'matching', 'inside', 'each', 'view', 'is', 'through', 'multiple', 'perspectives', 'to', 'compare', 'two', 'input', 'texts', 'thoroughly', 'all', 'these', 'components', 'are', 'designed', 'in', 'an', 'endtoend', 'trainable', 'neural', 'network', 'model', 'experiments', 'on', 'simplequestions', 'and', 'webqsp', 'yield', 'stateoftheart', 'results']] | [-0.07324018145648195, -0.0007990614687804591, -0.039591989475741066, 0.05025067652298974, -0.12125929266187375, -0.18632052326574922, 0.02570690938433551, 0.4290039194342883, -0.2903354979808564, -0.34457752119371854, 0.04101305995878858, -0.30688275035092794, -0.19102428382451553, 0.19212817483028208, -0.07314311258116926, 0.056689842393203384, 0.14348691449487122, 0.06672362246942046, -0.04256595463991381, -0.2298024470337491, 0.33558356280411605, 0.035270517637980156, 0.35556155845752335, 0.057454436369564224, 0.13737825886683835, -0.003975425367715998, -0.08736582473932725, -0.010740827892205098, -0.08076779592944228, 0.19898040939554357, 0.32332445875458093, 0.25369340067297436, 0.2591801439749374, -0.40212362729336903, -0.2219736014587292, 0.04295634741699188, 0.17503014526100477, 0.09116185953725885, -0.009463477074345776, -0.3022690849189741, 0.10934644890274259, -0.18309339601883962, 0.05935816161766432, -0.10455779167081135, -0.028832362748790478, -0.05793467811916186, -0.2681777180455949, 0.005397312228392431, 0.10721472815350643, 0.05419410558660393, -0.06324241258392947, -0.09407660227430903, 0.09331849325394286, 0.1857933926841487, -0.03026554550962064, 0.07600510294339957, 0.11688482392903256, -0.16413622040072104, -0.1406196045513818, 0.3710804103833178, -0.09369351274158427, -0.21675637359663413, 0.17060822008204632, 0.01049195664624373, -0.1531178215653568, 0.058308042498116476, 0.20839641151099425, 0.120038868535472, -0.20467486456576464, -0.012823401587556345, -0.09618863621659145, 0.2207228278747989, 0.07805518925095489, -0.028960065983667755, 0.2545000103882689, 0.2610936888858028, -0.019182427762775595, 0.12317542678109654, -0.10656121578000054, -0.0537010522397316, -0.2192351568728159, -0.0861122551428127, -0.15986772986513603, -0.03327306786525077, -0.07966800233091066, -0.0786747066978959, 0.3846406563036684, 0.2446750179203092, 0.2500649586562877, 0.11524980607192856, 0.3698374545066685, 0.003947125545338444, 0.07430368692924579, 0.11507014382252659, 0.15459173898873985, 0.06010919824188602, 0.09178095516087352, -0.11524252554712196, 0.08605669494178417, 0.08662128115774713] |
1,803.00613 | A shiny update to an old experiment game | Games can be a powerful tool for learning about statistical methodology.
Effective game design involves a fine balance between caricature and realism,
to simultaneously illustrate salient concepts in a controlled setting and serve
as a testament to real-world applicability. Striking that balance is
particularly challenging in response surface and design domains, where
real-world scenarios often play out over long time scales, during which
theories are revised, model and inferential techniques are improved, and
knowledge is updated. Here I present a game, borrowing liberally from one first
played over forty years ago, that attempts to achieve that balance while
reinforcing a cascade of topics in modern nonparametric response surfaces,
sequential design and optimization. The game embeds a blackbox simulation
within a shiny app whose interface is designed to simulate a realistic
information-availability setting, while offering a stimulating, competitive
environment wherein students can try out new methodology, and ultimately
appreciate its power and limitations. Interface, rules, timing with course
material, and evaluation are described, along with a "case study" involving a
cohort of students at Virginia Tech.
| stat.OT | games can be a powerful tool for learning about statistical methodology effective game design involves a fine balance between caricature and realism to simultaneously illustrate salient concepts in a controlled setting and serve as a testament to realworld applicability striking that balance is particularly challenging in response surface and design domains where realworld scenarios often play out over long time scales during which theories are revised model and inferential techniques are improved and knowledge is updated here i present a game borrowing liberally from one first played over forty years ago that attempts to achieve that balance while reinforcing a cascade of topics in modern nonparametric response surfaces sequential design and optimization the game embeds a blackbox simulation within a shiny app whose interface is designed to simulate a realistic informationavailability setting while offering a stimulating competitive environment wherein students can try out new methodology and ultimately appreciate its power and limitations interface rules timing with course material and evaluation are described along with a case study involving a cohort of students at virginia tech | [['games', 'can', 'be', 'a', 'powerful', 'tool', 'for', 'learning', 'about', 'statistical', 'methodology', 'effective', 'game', 'design', 'involves', 'a', 'fine', 'balance', 'between', 'caricature', 'and', 'realism', 'to', 'simultaneously', 'illustrate', 'salient', 'concepts', 'in', 'a', 'controlled', 'setting', 'and', 'serve', 'as', 'a', 'testament', 'to', 'realworld', 'applicability', 'striking', 'that', 'balance', 'is', 'particularly', 'challenging', 'in', 'response', 'surface', 'and', 'design', 'domains', 'where', 'realworld', 'scenarios', 'often', 'play', 'out', 'over', 'long', 'time', 'scales', 'during', 'which', 'theories', 'are', 'revised', 'model', 'and', 'inferential', 'techniques', 'are', 'improved', 'and', 'knowledge', 'is', 'updated', 'here', 'i', 'present', 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0.08000206894069996, 0.16390044236925014, -0.14283672299626787, 0.10695222863424356, -0.000314643416532326] |
1,803.00614 | Multi-epoch monitoring of the AA Tau like star V354 Mon - Indications
for a low gas-to-dust ratio in the inner disk warp | Disk warps around classical T Tauri stars (CTTS) can periodically obscure the
central star for some viewing geometries. For these so-called AA Tau-like
variables, the obscuring material is located in the inner disk and absorption
spectroscopy allows one to characterize its dust and gas content. Since the
observed emission from CTTS consists of several components (photospheric,
accretion, jet, and disk emission), which can all vary with time, it is
generally challenging to disentangling disk features from emission variability.
Multi-epoch, flux-calibrated, broadband spectra provide us with the necessary
information to cleanly separate absorption from emission variability. We
applied this method to three epochs of VLT/X-Shooter spectra of the CTTS V354
Mon (CSI Mon-660) located in NGC 2264 and find that: (a) the accretion emission
remains virtually unchanged between the three epochs; (b) the broadband flux
evolution is best described by disk material obscuring part of the star, and
(c) the Na and K gas absorption lines show only a minor increase in equivalent
width during phases of high dust extinction. The limits on the absorbing gas
column densities indicate a low gas-to-dust ratio in the inner disk, less than
a tenth of the ISM value. We speculate that the evolutionary state of V354 Mon,
rather old with a low accretion rate, is responsible for the dust excess
through an evolution toward a dust dominated disk or through the fragmentation
of larger bodies that drifted inward from larger radii in a still gas dominated
disk.
| astro-ph.SR | disk warps around classical t tauri stars ctts can periodically obscure the central star for some viewing geometries for these socalled aa taulike variables the obscuring material is located in the inner disk and absorption spectroscopy allows one to characterize its dust and gas content since the observed emission from ctts consists of several components photospheric accretion jet and disk emission which can all vary with time it is generally challenging to disentangling disk features from emission variability multiepoch fluxcalibrated broadband spectra provide us with the necessary information to cleanly separate absorption from emission variability we applied this method to three epochs of vltxshooter spectra of the ctts v354 mon csi mon660 located in ngc 2264 and find that a the accretion emission remains virtually unchanged between the three epochs b the broadband flux evolution is best described by disk material obscuring part of the star and c the na and k gas absorption lines show only a minor increase in equivalent width during phases of high dust extinction the limits on the absorbing gas column densities indicate a low gastodust ratio in the inner disk less than a tenth of the ism value we speculate that the evolutionary state of v354 mon rather old with a low accretion rate is responsible for the dust excess through an evolution toward a dust dominated disk or through the fragmentation of larger bodies that drifted inward from larger radii in a still gas dominated disk | [['disk', 'warps', 'around', 'classical', 't', 'tauri', 'stars', 'ctts', 'can', 'periodically', 'obscure', 'the', 'central', 'star', 'for', 'some', 'viewing', 'geometries', 'for', 'these', 'socalled', 'aa', 'taulike', 'variables', 'the', 'obscuring', 'material', 'is', 'located', 'in', 'the', 'inner', 'disk', 'and', 'absorption', 'spectroscopy', 'allows', 'one', 'to', 'characterize', 'its', 'dust', 'and', 'gas', 'content', 'since', 'the', 'observed', 'emission', 'from', 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1,803.00615 | Solvable extensions of the naturally graded quasi-filiform Leibniz
algebra of second type $\mathcal{L}^2$ | For a sequence of the naturally graded quasi-filiform Leibniz algebra of
second type $\mathcal{L}^2$ introduced by Camacho, G\'{o}mez, Gonz\'{a}lez and
Omirov, all possible right and left solvable indecomposable extensions over the
field $\Bbb R$ are constructed so that the algebra serves as the nilradical of
the corresponding solvable Leibniz algebras we find in the paper.
| math.RA | for a sequence of the naturally graded quasifiliform leibniz algebra of second type mathcall2 introduced by camacho gomez gonzalez and omirov all possible right and left solvable indecomposable extensions over the field bbb r are constructed so that the algebra serves as the nilradical of the corresponding solvable leibniz algebras we find in the paper | [['for', 'a', 'sequence', 'of', 'the', 'naturally', 'graded', 'quasifiliform', 'leibniz', 'algebra', 'of', 'second', 'type', 'mathcall2', 'introduced', 'by', 'camacho', 'gomez', 'gonzalez', 'and', 'omirov', 'all', 'possible', 'right', 'and', 'left', 'solvable', 'indecomposable', 'extensions', 'over', 'the', 'field', 'bbb', 'r', 'are', 'constructed', 'so', 'that', 'the', 'algebra', 'serves', 'as', 'the', 'nilradical', 'of', 'the', 'corresponding', 'solvable', 'leibniz', 'algebras', 'we', 'find', 'in', 'the', 'paper']] | [-0.12996543435535082, 0.03676705282069398, 0.03297231677505705, 0.04289589110003025, -0.14797352996861768, -0.17135945332443547, -0.10819124837009306, 0.3366340764116979, -0.38390581854791556, -0.1805406872321058, 0.16147116396395075, -0.2280848238237754, -0.14066368554981803, 0.17067857092694827, -0.12236930931814843, -0.08575515579044198, -0.00334490776165492, 0.13800989939934677, -0.06857658394383853, -0.2971245364492966, 0.38443457031691514, 0.0031752364873817124, 0.14487420636470671, -0.007956498235688303, 0.14097878210143083, 0.020722156235327322, -0.026437245912987878, -0.001370832315404658, -0.19627834684541556, 0.059276826494304394, 0.2970878896303475, 0.07941963228707512, 0.2079178190410689, -0.33481051508958143, -0.04215694836737519, 0.19657919521409054, 0.20940237879727241, -0.03868750408636751, -0.011284132643292347, -0.28173738593856495, 0.08681055881876361, -0.28754464468565183, -0.12016956027838643, -0.028364771658002778, 0.1402065553745531, -0.0038783681509947337, -0.23842792995963935, 0.03171214803673879, 0.11758997308573237, 0.11238639366085947, -0.12404810671082318, -0.12307349325123208, -0.10130350710824132, 0.04310092029023777, -0.11219889422257741, 0.022984445974644687, 0.04699407703312183, -0.02848373892441116, -0.20736978341031959, 0.3902576706820616, -0.027648777131819062, -0.19123476522940178, 0.09318692580779532, -0.1625679469305194, -0.1643124811127092, 0.04268236308255129, -0.04621892491424525, 0.13167896348965802, -0.06841676216572523, 0.2609563342929404, -0.1557368235145178, -0.026843537280068698, 0.09881790635107016, -0.02746622335959088, 0.1392756708966637, 0.09633441188338178, -0.007012584755473115, 0.11500250776643278, 0.08675090858229885, -0.004178239732196003, -0.3800719580958011, -0.18163729108939017, -0.0972444895262554, 0.11732757740456792, -0.06741105317498161, -0.13619285677904608, 0.4380912589668124, 0.13389691068894333, 0.13953824046378335, 0.15497157528686026, 0.12718116045774272, 0.05260308202209503, 0.14616206740201623, 0.08306023200835895, 0.13268205951209422, 0.26321260027880605, 0.014055887243658718, -0.15046316040927735, -0.09157217754465011, 0.22189454384217108] |
1,803.00616 | Constructing solvable groups with derived length four and four character
degrees | In this paper, we present a new method to construct solvable groups with
derived length four and four character degrees. We then use this method to
present a number of new families of groups with derived length four and four
character degrees.
| math.GR | in this paper we present a new method to construct solvable groups with derived length four and four character degrees we then use this method to present a number of new families of groups with derived length four and four character degrees | [['in', 'this', 'paper', 'we', 'present', 'a', 'new', 'method', 'to', 'construct', 'solvable', 'groups', 'with', 'derived', 'length', 'four', 'and', 'four', 'character', 'degrees', 'we', 'then', 'use', 'this', 'method', 'to', 'present', 'a', 'number', 'of', 'new', 'families', 'of', 'groups', 'with', 'derived', 'length', 'four', 'and', 'four', 'character', 'degrees']] | [-0.16534094499158009, 0.09037837430479981, -0.07478997767681167, -0.010097608086653054, -0.061931704836232324, -0.10833830588186781, 0.03877929098338687, 0.37842412887229804, -0.27373757851975306, -0.32841864119594294, 0.07562498884397514, -0.21668467706158048, -0.182507743571131, 0.2362588784169583, -0.007237577056955723, -0.058831427190896304, 0.023432968572402995, 0.05010215685303722, -0.08354914869137463, -0.3126349759598573, 0.36224461400083136, -0.06842738225878704, 0.21660353034912122, -0.01597319303878716, 0.1380710765675065, 0.02277677876520015, -0.032996506252813904, 0.07154975379151958, -0.18964889224263884, 0.24886430547173535, 0.20493605271691367, 0.08555136164206834, 0.21497275587171316, -0.3297775566489214, -0.1828138560854963, 0.10126668268016406, 0.12334584515719187, 0.17314404914421694, -0.04801266635989859, -0.22324118940603166, 0.09731000471150592, -0.23401173097746714, -0.18782007224148228, -0.07205182407051325, 0.027378168356205736, -0.020624256715001094, -0.2003379555507785, 0.03253873403272813, -0.0014004724188929512, 0.11878434737887542, -0.02484953727218367, -0.16775596709478469, 0.08189287843803565, 0.15439560267675137, 0.033126521500803176, -0.05486743932678586, 0.004091790101180474, -0.05105900062647249, -0.15002322260157339, 0.36157577946072533, -0.07652830084164937, -0.23197776700059572, 0.2290826239290514, -0.10931478675809644, -0.22333409105028426, 0.13028152783711752, 0.18718432023056916, 0.1711500356683419, -0.15671823921036862, -0.0003635912185667881, -0.07469454425431434, 0.1941135369596027, 0.06687330135277339, 0.049938733068605266, 0.13727576933091595, 0.1155913450001251, 0.00843286155057805, 0.22370482466760136, -0.10645410031568081, -0.007140641366796834, -0.32258445414758863, -0.15481819846623002, -0.09698876636546283, 0.0021389638118091085, -0.03303523785143625, -0.1649977726573568, 0.49503339596447493, 0.17002878018787929, 0.19378563797190076, 0.15067332419788554, 0.21676653676799365, 0.027604899213959772, 0.050821327205215185, 0.0963748215387265, 0.11732939772662662, 0.12461862374385375, -0.04824458177955378, -0.16525073268539495, -0.10778523542103358, 0.16618212006453956] |
1,803.00617 | Precision measurement noise asymmetry and its annual modulation as a
dark matter signature | Dark matter may be composed of self-interacting ultralight quantum fields
that form macroscopic objects. An example of which includes Q-balls, compact
non-topological solitons predicted by a range of theories that are viable dark
matter candidates. As the Earth moves through the galaxy, interactions with
such objects may leave transient perturbations in terrestrial experiments. Here
we propose a new dark matter signature: an asymmetry (and other
non-Gaussianities) that may thereby be induced in the noise distributions of
precision quantum sensors, such as atomic clocks, magnetometers, and
interferometers. Further, we demonstrate that there would be a sizeable annual
modulation in these signatures due to the annual variation of the Earth
velocity with respect to dark matter halo. As an illustration of our formalism,
we apply our method to 6 years of data from the atomic clocks on board GPS
satellites and place constraints on couplings for macroscopic dark matter
objects with radii R < 10^4 km, the region that is otherwise inaccessible using
relatively sparse global networks.
| physics.atom-ph astro-ph.CO | dark matter may be composed of selfinteracting ultralight quantum fields that form macroscopic objects an example of which includes qballs compact nontopological solitons predicted by a range of theories that are viable dark matter candidates as the earth moves through the galaxy interactions with such objects may leave transient perturbations in terrestrial experiments here we propose a new dark matter signature an asymmetry and other nongaussianities that may thereby be induced in the noise distributions of precision quantum sensors such as atomic clocks magnetometers and interferometers further we demonstrate that there would be a sizeable annual modulation in these signatures due to the annual variation of the earth velocity with respect to dark matter halo as an illustration of our formalism we apply our method to 6 years of data from the atomic clocks on board gps satellites and place constraints on couplings for macroscopic dark matter objects with radii r 104 km the region that is otherwise inaccessible using relatively sparse global networks | [['dark', 'matter', 'may', 'be', 'composed', 'of', 'selfinteracting', 'ultralight', 'quantum', 'fields', 'that', 'form', 'macroscopic', 'objects', 'an', 'example', 'of', 'which', 'includes', 'qballs', 'compact', 'nontopological', 'solitons', 'predicted', 'by', 'a', 'range', 'of', 'theories', 'that', 'are', 'viable', 'dark', 'matter', 'candidates', 'as', 'the', 'earth', 'moves', 'through', 'the', 'galaxy', 'interactions', 'with', 'such', 'objects', 'may', 'leave', 'transient', 'perturbations', 'in', 'terrestrial', 'experiments', 'here', 'we', 'propose', 'a', 'new', 'dark', 'matter', 'signature', 'an', 'asymmetry', 'and', 'other', 'nongaussianities', 'that', 'may', 'thereby', 'be', 'induced', 'in', 'the', 'noise', 'distributions', 'of', 'precision', 'quantum', 'sensors', 'such', 'as', 'atomic', 'clocks', 'magnetometers', 'and', 'interferometers', 'further', 'we', 'demonstrate', 'that', 'there', 'would', 'be', 'a', 'sizeable', 'annual', 'modulation', 'in', 'these', 'signatures', 'due', 'to', 'the', 'annual', 'variation', 'of', 'the', 'earth', 'velocity', 'with', 'respect', 'to', 'dark', 'matter', 'halo', 'as', 'an', 'illustration', 'of', 'our', 'formalism', 'we', 'apply', 'our', 'method', 'to', '6', 'years', 'of', 'data', 'from', 'the', 'atomic', 'clocks', 'on', 'board', 'gps', 'satellites', 'and', 'place', 'constraints', 'on', 'couplings', 'for', 'macroscopic', 'dark', 'matter', 'objects', 'with', 'radii', 'r', '104', 'km', 'the', 'region', 'that', 'is', 'otherwise', 'inaccessible', 'using', 'relatively', 'sparse', 'global', 'networks']] | [-0.14916298673601774, 0.22147834678590453, -0.11808802124301665, 0.1031007292068552, -0.09105219115877933, -0.09732631559018046, -0.0011189398157024166, 0.34472107339832114, -0.20956613857117368, -0.3744672315863171, 0.05508266141561496, -0.27584111148764084, -0.10668027290588858, 0.21184866296882718, -0.022887324869793148, -0.0008234955219938079, 0.023100130687320104, 0.015903581865131855, -0.011564828543114566, -0.23413398235229912, 0.2723289193619588, 0.06401807248376583, 0.16817049648067572, -0.00307146357599555, 0.0983625101273391, -0.06969936872639398, -0.008572095942615373, -0.00419800728559494, -0.12621302372267898, 0.06079270042161026, 0.23199676212216883, 0.10633003408452724, 0.1735126433777623, -0.4581156938688875, -0.23419272128447163, 0.17612752303901333, 0.15714505865386255, 0.12549576061854434, -0.10452426068638111, -0.3824822769795613, 0.03931355775013089, -0.21795714099709762, -0.1283551353142063, -0.09260230088427594, 0.04167438035819498, 0.0312117683650108, -0.22729506236273886, 0.10464398575117584, -0.0097265821255505, 0.004653090872324821, -0.08209943188717816, -0.08401163008132177, -0.0006692250367117728, 0.03229309810416364, 0.037667488621792006, -0.016281157342657424, 0.22678666051886068, -0.16362825685135293, -0.11576173638800023, 0.4434067992927938, -0.1399881243308234, -0.12025031965884675, 0.20857761141406828, -0.127665390570012, -0.13165750775327226, 0.09921578069291327, 0.17959319097671386, 0.08948443968149992, -0.11909612180472057, 0.06502302554783854, -0.04544440982011488, 0.21768127651118516, 0.08117200074456178, 0.10702970730456333, 0.3671923031542087, 0.15338068886833242, 0.11470075215570764, 0.028832460426024116, -0.15405451233545603, -0.05205219029732866, -0.2988019789364643, -0.11387950195290703, -0.1596804239628155, 0.03215262618216845, -0.08783946482994574, -0.12617317974999, 0.3279600343312046, 0.1533456294032143, 0.18066031355183662, -0.009239690427997762, 0.31652733866159416, 0.03616556505993486, 0.08553293939657146, 0.02138634660088162, 0.29877566132785344, 0.13368817537074637, 0.06959878294529938, -0.16775147133739665, 0.006927738593686826, -0.044123182095950696] |
1,803.00618 | Finding steady-state solutions for ODE systems of zero, first and
homogeneous second-order chemical reactions is NP-hard | In the context of modeling of cell signaling pathways, a relevant step is
finding steady-state solutions for ODE systems that describe the kinetics of a
set of chemical reactions, especially sets composed of zero, first, and
second-order reactions. To compute a steady-state solution, one must set the
left-hand side of each ODE as zero, hence obtaining a system of non-negative,
quadratic polynomial equations. If all second-order reactions are homogeneous
in respect to their reactants, then the obtained quadratic polynomial equation
system will also have univariate monomials. Although it is a well-known fact
that finding a root of a quadratic polynomial equation system is a NP-hard
problem, it is not so easy to find a readily available proof of NP-hardness for
special cases like the aforementioned one. Therefore, we provide here a
self-contained proof that finding a root of non-negative, with univariate
monomials quadratic polynomial equation system (NUMQ-PES) is NP-hard. This
result implies that finding steady-state solutions for ODE systems of zero,
first and homogeneous second-order chemical reactions is a NP-hard problem;
hence, it is not a feasible approach to approximate non-homogeneous
second-order reactions into homogeneous ones.
| cs.CC | in the context of modeling of cell signaling pathways a relevant step is finding steadystate solutions for ode systems that describe the kinetics of a set of chemical reactions especially sets composed of zero first and secondorder reactions to compute a steadystate solution one must set the lefthand side of each ode as zero hence obtaining a system of nonnegative quadratic polynomial equations if all secondorder reactions are homogeneous in respect to their reactants then the obtained quadratic polynomial equation system will also have univariate monomials although it is a wellknown fact that finding a root of a quadratic polynomial equation system is a nphard problem it is not so easy to find a readily available proof of nphardness for special cases like the aforementioned one therefore we provide here a selfcontained proof that finding a root of nonnegative with univariate monomials quadratic polynomial equation system numqpes is nphard this result implies that finding steadystate solutions for ode systems of zero first and homogeneous secondorder chemical reactions is a nphard problem hence it is not a feasible approach to approximate nonhomogeneous secondorder reactions into homogeneous ones | [['in', 'the', 'context', 'of', 'modeling', 'of', 'cell', 'signaling', 'pathways', 'a', 'relevant', 'step', 'is', 'finding', 'steadystate', 'solutions', 'for', 'ode', 'systems', 'that', 'describe', 'the', 'kinetics', 'of', 'a', 'set', 'of', 'chemical', 'reactions', 'especially', 'sets', 'composed', 'of', 'zero', 'first', 'and', 'secondorder', 'reactions', 'to', 'compute', 'a', 'steadystate', 'solution', 'one', 'must', 'set', 'the', 'lefthand', 'side', 'of', 'each', 'ode', 'as', 'zero', 'hence', 'obtaining', 'a', 'system', 'of', 'nonnegative', 'quadratic', 'polynomial', 'equations', 'if', 'all', 'secondorder', 'reactions', 'are', 'homogeneous', 'in', 'respect', 'to', 'their', 'reactants', 'then', 'the', 'obtained', 'quadratic', 'polynomial', 'equation', 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'homogeneous', 'ones']] | [-0.15074216999314927, 0.04030083645059652, -0.09296113256667111, 0.05009501484675786, -0.10564458100754466, -0.21459183034210189, 0.025061424595077295, 0.284101393295301, -0.34208078982711243, -0.20117472719457755, 0.09720422947351393, -0.2789133122555811, -0.17885322112564903, 0.1919155918766518, -0.005910033838370362, 0.07182425141485559, 0.09558505656550059, 0.05158279353919489, -0.05326557853825491, -0.2951867068626893, 0.31247533124342963, -0.020072097346388006, 0.18417637102758966, 0.04675318955922046, 0.13880850888184598, -0.0506202131912515, 0.02676742527684247, 0.021063542966422155, -0.11971482641922587, 0.07474268846641723, 0.3286808221626121, 0.1340787054618468, 0.2755282021782084, -0.396098620152554, -0.17325675170365218, 0.1804399106752228, 0.16981021297491483, 0.15419586759715065, -0.026965254640861136, -0.16799521924223046, 0.08941754470138835, -0.12822754973470157, -0.17505797552514343, -0.07132971194899969, 0.05853963540866971, 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1,803.00619 | Counting Extended Irreducible Goppa Codes | We obtain an upper bound on the number of extended irreducible q-ary Goppa
codes of degree $r$ and length $q^n+1$, where $q=p^t$ and $n$ and $r>2$ are
prime numbers.
| math.NT cs.DM | we obtain an upper bound on the number of extended irreducible qary goppa codes of degree r and length qn1 where qpt and n and r2 are prime numbers | [['we', 'obtain', 'an', 'upper', 'bound', 'on', 'the', 'number', 'of', 'extended', 'irreducible', 'qary', 'goppa', 'codes', 'of', 'degree', 'r', 'and', 'length', 'qn1', 'where', 'qpt', 'and', 'n', 'and', 'r2', 'are', 'prime', 'numbers']] | [-0.3186939754362764, 0.17262242029968985, -0.03776796163734177, 0.050071627094314015, 0.022266313963537586, -0.28256134406245986, 0.005391995197740094, 0.2629708448296477, -0.2620701401911933, -0.28350497364740945, 0.09655878716951301, -0.2916843282251522, -0.10206149133917844, 0.22788295888438306, -0.04807153395537672, 0.04917921431780119, -0.03639516622984204, 0.16680019813668032, -0.027965033202078837, -0.3781751020458238, 0.28369260518329925, 0.035689932262075355, 0.13303101101312145, 0.04113829794243492, -0.002006682454897412, 0.019377642552015083, 0.0441065503220106, -0.06261402895224505, -0.281806712038815, 0.09205855339251716, 0.28548081784412777, 0.15319336351842203, 0.11988614101348252, -0.3251482562547357, -0.11282360589067483, 0.1993888584447318, 0.1929357175008747, 0.0584970417207685, 0.02750859025400132, -0.17924590961172662, 0.10315611277674806, -0.1796830803409805, -0.09194587183923557, 0.014367920659675166, 0.13633575149137397, 0.04531647701715601, -0.3555907729756215, -0.032418069012206174, 0.12451533099700665, 0.15391360903218998, 0.025132591177805745, -0.2615749589328108, 0.029092457113337928, 0.05559421595635599, -0.06737014709104752, 0.0813874033729321, -0.04159388379675561, -0.07468732847864258, -0.08137066527430353, 0.272644464504616, -0.03392707305992472, -0.1814327234851903, 0.06886759000541322, -0.1533018321698082, -0.12355692695890522, 0.14464899576429663, 0.18709337904021658, 0.14474139831446367, 0.08060672461729625, 0.21831048112402768, -0.1585004983534073, 0.2316409908235073, 0.1281340473716886, 0.15013589832032548, 0.11959489910253163, 0.01776733499919546, 0.034700468937256215, 0.2073260006205789, -0.08742570734968216, 0.009754635008244679, -0.33874381731810244, -0.16035878275127696, -0.2518741875116167, 0.12142104115979425, -0.22292142452778504, -0.14036137636365562, 0.3057527921066202, 0.06435980776260639, 0.14662331936816717, 0.18654412291301736, 0.18231036044368198, 0.0183268533377298, -0.0015908681691206735, 0.1966863653526224, 0.06474508666272821, 0.23969437328472348, -0.16389768183680958, -0.17365268245339394, -0.04026816942696941, 0.22972725550162382] |
1,803.0062 | Photon correlations in both time and frequency | We summarise the main results that follow from our theory of frequency- and
time-resolved photon correlations, which provides exact computations in
nontrivial systems. We illustrate the theory with original results as
interesting cases can be picked up from the endless configurations that abound
in any quantum optical system. In particular, we compare our exact results with
previous approximations, upgrade correlations to the case of photon bundles as
otherwise no clear physical picture emerge, highlight the interest of measuring
away from the peaks in rich landscapes of correlations and emphasize the joint
time and frequency aspect of our theory.
| quant-ph | we summarise the main results that follow from our theory of frequency and timeresolved photon correlations which provides exact computations in nontrivial systems we illustrate the theory with original results as interesting cases can be picked up from the endless configurations that abound in any quantum optical system in particular we compare our exact results with previous approximations upgrade correlations to the case of photon bundles as otherwise no clear physical picture emerge highlight the interest of measuring away from the peaks in rich landscapes of correlations and emphasize the joint time and frequency aspect of our theory | [['we', 'summarise', 'the', 'main', 'results', 'that', 'follow', 'from', 'our', 'theory', 'of', 'frequency', 'and', 'timeresolved', 'photon', 'correlations', 'which', 'provides', 'exact', 'computations', 'in', 'nontrivial', 'systems', 'we', 'illustrate', 'the', 'theory', 'with', 'original', 'results', 'as', 'interesting', 'cases', 'can', 'be', 'picked', 'up', 'from', 'the', 'endless', 'configurations', 'that', 'abound', 'in', 'any', 'quantum', 'optical', 'system', 'in', 'particular', 'we', 'compare', 'our', 'exact', 'results', 'with', 'previous', 'approximations', 'upgrade', 'correlations', 'to', 'the', 'case', 'of', 'photon', 'bundles', 'as', 'otherwise', 'no', 'clear', 'physical', 'picture', 'emerge', 'highlight', 'the', 'interest', 'of', 'measuring', 'away', 'from', 'the', 'peaks', 'in', 'rich', 'landscapes', 'of', 'correlations', 'and', 'emphasize', 'the', 'joint', 'time', 'and', 'frequency', 'aspect', 'of', 'our', 'theory']] | [-0.0963569697686376, 0.10387003902828187, -0.12583856909222216, 0.07902621664106846, -0.008791966107198778, -0.12095030285037901, 0.060149022956540316, 0.3745556004839588, -0.23012123452422295, -0.3059219901963156, 0.05059750756838036, -0.3080574665028526, -0.18487342104923968, 0.23226216309988984, -0.0349910645888244, 0.017322169032365997, 0.06952534093668837, -0.00025743382213143064, -0.08508847202934629, -0.18320847807775195, 0.31290195389099573, 0.048002980427331844, 0.26340787012928296, 0.06651874902130732, 0.06146993005781302, 0.008018339235734726, -0.04906150472245882, 0.012126768672046916, -0.12098559538185791, 0.09325419649557799, 0.2679846876429166, 0.10090203374405676, 0.22752132617906495, -0.42642612451193285, -0.2106068297194279, 0.07394845992367126, 0.15329405320903325, 0.16878770247021005, -0.05789123213260758, -0.2921301668143964, 0.035544368576220405, -0.13950330239473557, -0.16290792890786365, -0.10662286063390118, -0.00328117326776288, 0.05960899335807379, -0.21130194005851008, 0.07956446416210383, 0.06718629929332101, 0.03857923334236352, -0.06569761861286753, -0.10422128571401712, -0.003983784645168605, 0.16819820646196604, 0.07065642693747318, 0.010078101414160765, 0.10520738802318062, -0.13061255017029388, -0.17145036360277432, 0.3560983125044375, -0.03846648909218077, -0.13595025879996164, 0.20330279339009857, -0.190318040041329, -0.1515252855178729, 0.10117151754033961, 0.14658449104587948, 0.09210984253951786, -0.07355020033452203, 0.0691717998582005, -0.051222998503956715, 0.18752493249366478, 0.04302051183482518, 0.108752270655621, 0.22175646871708485, 0.1135791659121145, 0.014024044575920443, 0.15096500832516205, -0.048075574279135586, -0.16741529898242835, -0.33921833110174965, -0.10976663075758106, -0.17269613299214717, 0.06752235522465211, -0.08734930430646458, -0.11988578534577272, 0.4175133941295956, 0.22404435898025274, 0.20671813620007312, 0.041140007528675984, 0.2865861470250375, 0.09846561042026483, 0.03851044029935871, 0.03038142885589896, 0.2740844975425197, 0.11586617597625876, 0.10072594735182214, -0.1909481232477428, 0.01402203722533827, -0.02026168066457066] |
1,803.00621 | Effects of CSI Knowledge on Secrecy of Threshold-Selection
Decode-and-Forward Relaying | This paper considers secrecy of a three node cooperative wireless system in
the presence of a passive eavesdropper. The threshold-selection
decode-and-forward (DF) relay is considered, which can decode the source
message correctly only if a predefined signal-to-noise ratio (SNR) is achieved.
The effects of channel state information (CSI) availability on secrecy outage
probability (SOP) and ergodic secrecy rate (ESR) are investigated, and
closed-form expressions are derived. Diversity is achieved from the direct and
relaying paths both at the destination and at the eavesdropper by combinations
of maximal-ratio combining (MRC) and selection combining (SC) schemes. An
asymptotic analysis is provided when each hop SNR is the same in the balanced
case and when it is different in the unbalanced case. The analysis shows that
both hops can be a bottleneck for secure communication; however, they do not
affect the secrecy identically. While it is observed that CSI knowledge can
improve secrecy, the amount of improvement for SOP is more when the required
rate is low and for ESR when the operating SNR is also low. It is also shown
that the source to eavesdropper link SNR is more crucial for secure
communication.
| eess.SP cs.IT math.IT | this paper considers secrecy of a three node cooperative wireless system in the presence of a passive eavesdropper the thresholdselection decodeandforward df relay is considered which can decode the source message correctly only if a predefined signaltonoise ratio snr is achieved the effects of channel state information csi availability on secrecy outage probability sop and ergodic secrecy rate esr are investigated and closedform expressions are derived diversity is achieved from the direct and relaying paths both at the destination and at the eavesdropper by combinations of maximalratio combining mrc and selection combining sc schemes an asymptotic analysis is provided when each hop snr is the same in the balanced case and when it is different in the unbalanced case the analysis shows that both hops can be a bottleneck for secure communication however they do not affect the secrecy identically while it is observed that csi knowledge can improve secrecy the amount of improvement for sop is more when the required rate is low and for esr when the operating snr is also low it is also shown that the source to eavesdropper link snr is more crucial for secure communication | [['this', 'paper', 'considers', 'secrecy', 'of', 'a', 'three', 'node', 'cooperative', 'wireless', 'system', 'in', 'the', 'presence', 'of', 'a', 'passive', 'eavesdropper', 'the', 'thresholdselection', 'decodeandforward', 'df', 'relay', 'is', 'considered', 'which', 'can', 'decode', 'the', 'source', 'message', 'correctly', 'only', 'if', 'a', 'predefined', 'signaltonoise', 'ratio', 'snr', 'is', 'achieved', 'the', 'effects', 'of', 'channel', 'state', 'information', 'csi', 'availability', 'on', 'secrecy', 'outage', 'probability', 'sop', 'and', 'ergodic', 'secrecy', 'rate', 'esr', 'are', 'investigated', 'and', 'closedform', 'expressions', 'are', 'derived', 'diversity', 'is', 'achieved', 'from', 'the', 'direct', 'and', 'relaying', 'paths', 'both', 'at', 'the', 'destination', 'and', 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1,803.00622 | Compositional Analysis of Hybrid Systems Defined Over Finite Alphabets | We consider the stability and the input-output analysis problems of a class
of large-scale hybrid systems composed of continuous dynamics coupled with
discrete dynamics defined over finite alphabets, e.g., deterministic finite
state machines (DFSMs). This class of hybrid systems can be used to model
physical systems controlled by software. For such classes of systems, we use a
method based on dissipativity theory for compositional analysis that allows us
to study stability, passivity and input-output norms. We show that the
certificates of the method based on dissipativity theory can be computed by
solving a set of semi-definite programs. Nonetheless, the formulation based on
semi-definite programs become computationally intractable for relatively large
number of discrete and continuous states. We demonstrate that, for systems with
large number of states consisting of an interconnection of smaller hybrid
systems, accelerated alternating method of multipliers can be used to carry out
the computations in a scalable and distributed manner. The proposed methodology
is illustrated by an example of a system with 60 continuous states and 18
discrete states.
| math.OC | we consider the stability and the inputoutput analysis problems of a class of largescale hybrid systems composed of continuous dynamics coupled with discrete dynamics defined over finite alphabets eg deterministic finite state machines dfsms this class of hybrid systems can be used to model physical systems controlled by software for such classes of systems we use a method based on dissipativity theory for compositional analysis that allows us to study stability passivity and inputoutput norms we show that the certificates of the method based on dissipativity theory can be computed by solving a set of semidefinite programs nonetheless the formulation based on semidefinite programs become computationally intractable for relatively large number of discrete and continuous states we demonstrate that for systems with large number of states consisting of an interconnection of smaller hybrid systems accelerated alternating method of multipliers can be used to carry out the computations in a scalable and distributed manner the proposed methodology is illustrated by an example of a system with 60 continuous states and 18 discrete states | [['we', 'consider', 'the', 'stability', 'and', 'the', 'inputoutput', 'analysis', 'problems', 'of', 'a', 'class', 'of', 'largescale', 'hybrid', 'systems', 'composed', 'of', 'continuous', 'dynamics', 'coupled', 'with', 'discrete', 'dynamics', 'defined', 'over', 'finite', 'alphabets', 'eg', 'deterministic', 'finite', 'state', 'machines', 'dfsms', 'this', 'class', 'of', 'hybrid', 'systems', 'can', 'be', 'used', 'to', 'model', 'physical', 'systems', 'controlled', 'by', 'software', 'for', 'such', 'classes', 'of', 'systems', 'we', 'use', 'a', 'method', 'based', 'on', 'dissipativity', 'theory', 'for', 'compositional', 'analysis', 'that', 'allows', 'us', 'to', 'study', 'stability', 'passivity', 'and', 'inputoutput', 'norms', 'we', 'show', 'that', 'the', 'certificates', 'of', 'the', 'method', 'based', 'on', 'dissipativity', 'theory', 'can', 'be', 'computed', 'by', 'solving', 'a', 'set', 'of', 'semidefinite', 'programs', 'nonetheless', 'the', 'formulation', 'based', 'on', 'semidefinite', 'programs', 'become', 'computationally', 'intractable', 'for', 'relatively', 'large', 'number', 'of', 'discrete', 'and', 'continuous', 'states', 'we', 'demonstrate', 'that', 'for', 'systems', 'with', 'large', 'number', 'of', 'states', 'consisting', 'of', 'an', 'interconnection', 'of', 'smaller', 'hybrid', 'systems', 'accelerated', 'alternating', 'method', 'of', 'multipliers', 'can', 'be', 'used', 'to', 'carry', 'out', 'the', 'computations', 'in', 'a', 'scalable', 'and', 'distributed', 'manner', 'the', 'proposed', 'methodology', 'is', 'illustrated', 'by', 'an', 'example', 'of', 'a', 'system', 'with', '60', 'continuous', 'states', 'and', '18', 'discrete', 'states']] | [-0.1467921387913182, 0.07660851985649991, -0.0819850483459832, 0.03870488671964267, -0.033949900418519974, -0.14933626643696063, 0.04343749069044692, 0.341517394191997, -0.3014500613735859, -0.3001203195755045, 0.13626602037233126, -0.20987574116106558, -0.15982436253059776, 0.2504710257418865, -0.03619359737955207, 0.13544360921328324, 0.07222793616224514, -0.021298123462677954, -0.07408628775602813, -0.22147394783204682, 0.3213437139875591, -0.006217863681444595, 0.26634597122824216, -0.005648759869198034, 0.12651238548785967, 0.019936170684834293, 0.01392717093285471, 0.0816301889555139, -0.04274030146117121, 0.16631646426584096, 0.2646290305568728, 0.16441987271604755, 0.32732009227106046, -0.4528137684669779, -0.2038417451908043, 0.1083899347252364, 0.11456120786482812, 0.1003639189618488, -0.044343285862935795, -0.2862221240065992, 0.12038315253854773, -0.18714471986560627, -0.10709849713291691, -0.14591150360755883, -0.023096742668882186, 0.03890110727069293, -0.2954863868031088, 0.02980580762350867, 0.02903822445186115, 0.07555925392621565, -0.07025651334748376, -0.08855316593233215, -0.000864784597408373, 0.06305077142991819, -0.04086823513069587, -0.05306382496911643, 0.11025144416449029, -0.041201927881893634, -0.1677539873161613, 0.3540069343912047, -0.06764900634406394, -0.252300352361703, 0.22680842355814176, -0.04153564448338435, -0.15282267387306622, 0.12203031365467279, 0.2506523824101964, 0.18570267699718432, -0.14750857158499056, 0.08317614914301165, -0.05349344775882051, 0.2178414889264765, -0.022912518695256737, 0.035524408292393526, 0.17387783175420968, 0.19275483640647212, 0.09790326136186026, 0.179765660535046, 0.0007758427453281488, -0.15313278423990448, -0.261636255807135, -0.15020715405211546, -0.19176061908974376, 0.02006989851902607, -0.04404732601155004, -0.18989943713220486, 0.3892778736961529, 0.14751984895109524, 0.14444330752675616, 0.10428402212524224, 0.26038443886263424, 0.14017068666649973, 0.06440772440522737, 0.09453588489410576, 0.16217824255744384, 0.14724534892255095, 0.07714196311263909, -0.2259503042428256, 0.04627393325790763, 0.08154866294827053] |
1,803.00623 | Phase-stabilized 100 mW frequency comb near 10 {\mu}m | Long-wavelength mid-infrared frequency combs with high power and flexible
tunability are highly desired for molecular spectroscopy, including
investigation of large molecules such as C60. We present a high power,
phase-stabilized frequency comb near 10 {\mu}m, generated by a
synchronously-pumped, singly-resonant optical parametric oscillator (OPO) based
on AgGaSe2. The OPO can be continuously tuned from 8.4 to 9.5 {\mu}m, with a
maximum average idler power of 100 mW at the center wavelength of 8.5 {\mu}m.
Both the repetition rate (frep) and the carrier-envelop offset frequency (fceo)
of the idler wave are phase-locked to microwave signals referenced to a Cs
clock. We describe the detailed design and construction of the frequency comb,
and discuss potential applications for precise and sensitive direct frequency
comb spectroscopy.
| physics.optics | longwavelength midinfrared frequency combs with high power and flexible tunability are highly desired for molecular spectroscopy including investigation of large molecules such as c60 we present a high power phasestabilized frequency comb near 10 mum generated by a synchronouslypumped singlyresonant optical parametric oscillator opo based on aggase2 the opo can be continuously tuned from 84 to 95 mum with a maximum average idler power of 100 mw at the center wavelength of 85 mum both the repetition rate frep and the carrierenvelop offset frequency fceo of the idler wave are phaselocked to microwave signals referenced to a cs clock we describe the detailed design and construction of the frequency comb and discuss potential applications for precise and sensitive direct frequency comb spectroscopy | [['longwavelength', 'midinfrared', 'frequency', 'combs', 'with', 'high', 'power', 'and', 'flexible', 'tunability', 'are', 'highly', 'desired', 'for', 'molecular', 'spectroscopy', 'including', 'investigation', 'of', 'large', 'molecules', 'such', 'as', 'c60', 'we', 'present', 'a', 'high', 'power', 'phasestabilized', 'frequency', 'comb', 'near', '10', 'mum', 'generated', 'by', 'a', 'synchronouslypumped', 'singlyresonant', 'optical', 'parametric', 'oscillator', 'opo', 'based', 'on', 'aggase2', 'the', 'opo', 'can', 'be', 'continuously', 'tuned', 'from', '84', 'to', '95', 'mum', 'with', 'a', 'maximum', 'average', 'idler', 'power', 'of', '100', 'mw', 'at', 'the', 'center', 'wavelength', 'of', '85', 'mum', 'both', 'the', 'repetition', 'rate', 'frep', 'and', 'the', 'carrierenvelop', 'offset', 'frequency', 'fceo', 'of', 'the', 'idler', 'wave', 'are', 'phaselocked', 'to', 'microwave', 'signals', 'referenced', 'to', 'a', 'cs', 'clock', 'we', 'describe', 'the', 'detailed', 'design', 'and', 'construction', 'of', 'the', 'frequency', 'comb', 'and', 'discuss', 'potential', 'applications', 'for', 'precise', 'and', 'sensitive', 'direct', 'frequency', 'comb', 'spectroscopy']] | [-0.12099765290406124, 0.17180466118137822, 0.03211753492528373, -0.06960524393804564, -0.0698797836022313, -0.175968705807343, 0.12632763859515717, 0.5049052973670408, -0.20841562548990955, -0.27412086064842617, 0.08762617289157938, -0.22679565799199353, -0.03560493142952111, 0.2900765877494142, -0.011479889231249074, 0.0721171219690803, 0.008219534837186706, -0.07470134009938102, 0.060063207498944005, -0.061252176856876096, 0.15049557612385323, 0.1428010758490702, 0.34004191089852537, 0.009649817700967315, 0.1339748155148623, -0.04935909692673802, -0.019530434933036935, -0.13731689339365102, -0.1389636485644978, 0.1190052244750675, 0.28267649507072123, 0.03600111910072733, 0.2597340119248333, -0.3209592742260453, -0.19377642454101304, 0.07465049380451934, 0.1151903819933549, 0.12885965511764685, -0.029503856066899176, -0.27179961218229254, 0.0661045240907216, -0.1503090385255242, -0.129938361183009, -0.05015495050629247, 0.017303938407851154, 0.12208741993743404, -0.27224008413608963, 0.06587158956888232, -0.00513271978201945, 0.14389770220164672, -0.05214425414600525, -0.06863233586965699, -0.0563358171411967, 0.020421696345760555, -0.13734794345738227, 0.02851811176250604, 0.2087338485577998, -0.0676295810738917, -0.1153854536593022, 0.35844221483090555, -0.16299845192827717, -0.038342717627048, 0.16954720724077726, -0.21506927922090963, -0.0014472229729506595, 0.20777561865008073, 0.1619900736095738, 0.07104179673358675, -0.10247388586290335, -0.00801976604920173, 0.08426380275437427, 0.3127051753276759, 0.23410297829796337, 0.1931834853877706, 0.2657977340296527, 0.14022351707878314, 0.03204494337204936, 0.1425223418238211, -0.1788797536037462, 0.013049940328490882, -0.22112048568140547, -0.05694642240659734, -0.20285795124686393, 0.06207598713339664, -0.0998490869803864, -0.08255041013510267, 0.46502248602649887, 0.11235528052899955, 0.15726167690162815, 0.0026615908146212417, 0.34155646817804863, 0.15677507197357377, 0.0577666064539601, -0.0015834983138075052, 0.3190086934222909, 0.15290027993013466, 0.123499594201634, -0.23418286586447795, -0.12407830954829524, -0.06603626561281849] |
1,803.00624 | Constraining the $R$-symmetric chargino NLSP at the LHC | We present a phenomenological study of Dirac electroweakinos in a $U(1)_R$
extension of the MSSM with a strictly $R$-symmetric Higgs sector (MRSSM) and
gauge-mediated supersymmetry breaking. One of the distinguishing features of
the MRSSM is that the lightest chargino can be lighter than the lightest
neutralino. Decays from the NLSP chargino to the gravitino LSP will produce
exotic signals. We apply LHC-13 mass limits from both prompt and long-lived
searches to the chargino NLSP regime of the MRSSM. Imposing the additional
constraints coming from the 125 GeV Higgs and from the electroweak sector,
regions of the parameter space are found where the gravitino LSP, chargino NLSP
scenario survives all current bounds. We also show that the fine-tuning of the
model can reach a level slightly better than sub-percent with our choice of
parameters.
| hep-ph | we present a phenomenological study of dirac electroweakinos in a u1_r extension of the mssm with a strictly rsymmetric higgs sector mrssm and gaugemediated supersymmetry breaking one of the distinguishing features of the mrssm is that the lightest chargino can be lighter than the lightest neutralino decays from the nlsp chargino to the gravitino lsp will produce exotic signals we apply lhc13 mass limits from both prompt and longlived searches to the chargino nlsp regime of the mrssm imposing the additional constraints coming from the 125 gev higgs and from the electroweak sector regions of the parameter space are found where the gravitino lsp chargino nlsp scenario survives all current bounds we also show that the finetuning of the model can reach a level slightly better than subpercent with our choice of parameters | [['we', 'present', 'a', 'phenomenological', 'study', 'of', 'dirac', 'electroweakinos', 'in', 'a', 'u1_r', 'extension', 'of', 'the', 'mssm', 'with', 'a', 'strictly', 'rsymmetric', 'higgs', 'sector', 'mrssm', 'and', 'gaugemediated', 'supersymmetry', 'breaking', 'one', 'of', 'the', 'distinguishing', 'features', 'of', 'the', 'mrssm', 'is', 'that', 'the', 'lightest', 'chargino', 'can', 'be', 'lighter', 'than', 'the', 'lightest', 'neutralino', 'decays', 'from', 'the', 'nlsp', 'chargino', 'to', 'the', 'gravitino', 'lsp', 'will', 'produce', 'exotic', 'signals', 'we', 'apply', 'lhc13', 'mass', 'limits', 'from', 'both', 'prompt', 'and', 'longlived', 'searches', 'to', 'the', 'chargino', 'nlsp', 'regime', 'of', 'the', 'mrssm', 'imposing', 'the', 'additional', 'constraints', 'coming', 'from', 'the', '125', 'gev', 'higgs', 'and', 'from', 'the', 'electroweak', 'sector', 'regions', 'of', 'the', 'parameter', 'space', 'are', 'found', 'where', 'the', 'gravitino', 'lsp', 'chargino', 'nlsp', 'scenario', 'survives', 'all', 'current', 'bounds', 'we', 'also', 'show', 'that', 'the', 'finetuning', 'of', 'the', 'model', 'can', 'reach', 'a', 'level', 'slightly', 'better', 'than', 'subpercent', 'with', 'our', 'choice', 'of', 'parameters']] | [-0.08229473044157476, 0.3377654073703894, -0.028531471715497792, 0.25389528581329895, -0.1369416365764083, -0.23030943408104262, 0.046923851372877176, 0.27623063873821746, -0.20593802850777493, -0.32264401920882047, 0.05726166154849658, -0.28441627055084456, 0.055384969608368056, 0.1389827620530417, 0.02637222071731449, 0.05745878449424093, 0.1324335354733932, -0.0036071994818074812, -0.05962123995982951, -0.2589930736956964, 0.2629001181698719, 0.00010459738804545618, 0.10222304665791641, 0.09820374975303062, -0.015943488960427448, -0.0453743130262745, 0.050337605612506546, -0.16628679655220086, -0.1339663690525235, 0.08149689607343223, 0.15423829477854578, 0.11000483826194939, 0.07458812949996918, -0.3033204526138051, -0.17222585498190773, 0.28240098386890905, 0.19255092398690662, 0.08558647473923918, -0.06875959115060873, -0.3829368730180694, 0.11487543871941366, -0.246830935603974, -0.0468817533701098, -0.023318369979655047, -0.11403395458915852, -0.20701939750137158, -0.32683510654010717, 0.1276154680704064, -0.09775179152594025, -0.07246238271236644, 0.01088699031642225, -0.18371989968393868, -0.17979355747251302, -0.06547325502212782, 0.24338762483584056, -0.04327307200068923, 0.23493348871168673, -0.23742720866365766, -0.15970254900228037, 0.47637527906580973, -0.14470128255438486, -0.1592820699543769, 0.1544350417246832, -0.15056415757556496, -0.18524941358421193, 0.16533604674601465, 0.1732749864809159, 0.11650119798566054, -0.11732191113138893, 0.22099320906524272, -0.06606748830343254, 0.22045456786128811, 0.06842751104097561, 0.07473333071413121, 0.31468492715761304, 0.26120008614362406, 0.12732174791591733, 0.07599185496004984, -0.0748225092551762, -0.07364206327496559, -0.47164821590575273, -0.10178857186767168, -0.016742478664859402, 0.004195548544980977, -0.09215393927461674, -0.03413263370836139, 0.4403203311166201, 0.16360116885148718, 0.2798507467990643, 0.07927336032796455, 0.30641763250753146, 0.04770061469381269, 0.07058669972632613, 0.020935558843517436, 0.3691310905851424, 0.07553556229380008, 0.09036258399430522, -0.20572454817733146, -0.056840999513213294, 0.060070325634477284] |
1,803.00625 | Inhomogeneous Initial Data and Small-Field Inflation | We consider the robustness of small-field inflation in the presence of scalar
field inhomogeneities. Previous numerical work has shown that if the scalar
potential is flat only over a narrow interval, such as in commonly considered
inflection-point models, even small-amplitude inhomogeneities present at the
would-be onset of inflation at $\tau = \tau_i$ can disrupt the accelerated
expansion. In this paper, we parametrise and evolve the inhomogeneities from an
earlier time $\tau_{IC}$ at which the initial data were imprinted, and show
that for a broad range of inflationary and pre-inflationary models,
inflection-point inflation withstands initial inhomogeneities. We consider
three classes of perturbative pre-inflationary solutions (corresponding to
energetic domination by the scalar field kinetic term, a relativistic fluid,
and isotropic negative curvature), and two classes of exact solutions to
Einstein's equations with large inhomogeneities (corresponding to a stiff fluid
with cylindrical symmetry, and anisotropic negative curvature). We derive a
stability condition that depends on the Hubble scales $H(\tau_ i)$ and
$H(\tau_{IC})$, and a few properties of the pre-inflationary cosmology. For
initial data imprinted at the Planck scale, the absence of an inhomogeneous
initial data problem for inflection-point inflation leads to a novel, lower
limit on the tensor-to-scalar ratio.
| gr-qc astro-ph.CO hep-th | we consider the robustness of smallfield inflation in the presence of scalar field inhomogeneities previous numerical work has shown that if the scalar potential is flat only over a narrow interval such as in commonly considered inflectionpoint models even smallamplitude inhomogeneities present at the wouldbe onset of inflation at tau tau_i can disrupt the accelerated expansion in this paper we parametrise and evolve the inhomogeneities from an earlier time tau_ic at which the initial data were imprinted and show that for a broad range of inflationary and preinflationary models inflectionpoint inflation withstands initial inhomogeneities we consider three classes of perturbative preinflationary solutions corresponding to energetic domination by the scalar field kinetic term a relativistic fluid and isotropic negative curvature and two classes of exact solutions to einsteins equations with large inhomogeneities corresponding to a stiff fluid with cylindrical symmetry and anisotropic negative curvature we derive a stability condition that depends on the hubble scales htau_ i and htau_ic and a few properties of the preinflationary cosmology for initial data imprinted at the planck scale the absence of an inhomogeneous initial data problem for inflectionpoint inflation leads to a novel lower limit on the tensortoscalar ratio | [['we', 'consider', 'the', 'robustness', 'of', 'smallfield', 'inflation', 'in', 'the', 'presence', 'of', 'scalar', 'field', 'inhomogeneities', 'previous', 'numerical', 'work', 'has', 'shown', 'that', 'if', 'the', 'scalar', 'potential', 'is', 'flat', 'only', 'over', 'a', 'narrow', 'interval', 'such', 'as', 'in', 'commonly', 'considered', 'inflectionpoint', 'models', 'even', 'smallamplitude', 'inhomogeneities', 'present', 'at', 'the', 'wouldbe', 'onset', 'of', 'inflation', 'at', 'tau', 'tau_i', 'can', 'disrupt', 'the', 'accelerated', 'expansion', 'in', 'this', 'paper', 'we', 'parametrise', 'and', 'evolve', 'the', 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1,803.00626 | Incremental selective decode-and-forward relaying for power line
communication | In this paper, an incremental selective decode-and-forward (ISDF) relay
strategy is proposed for power line communication (PLC) systems to improve the
spectral efficiency. Traditional decode-and-forward (DF) relaying employs two
time slots by using half-duplex relays which significantly reduces the spectral
efficiency. The ISDF strategy utilizes the relay only if the direct link
quality fails to attain a certain information rate, thereby improving the
spectral efficiency. The path gain is assumed to be log-normally distributed
with very high distance dependent signal attenuation. Furthermore, the additive
noise is modeled as a Bernoulli-Gaussian process to incorporate the effects of
impulsive noise contents. Closed-form expressions for the outage probability
and the fraction of times the relay is in use, and an approximate closed-form
expression for the average bit error rate (BER) are derived for the binary
phase-shift keying signaling scheme. We observe that the fraction of times the
relay is in use can be significantly reduced compared to the traditional DF
strategy. It is also observed that at high transmit power, the spectral
efficiency increases while the average BER decreases with increase in the
required rate.
| eess.SP | in this paper an incremental selective decodeandforward isdf relay strategy is proposed for power line communication plc systems to improve the spectral efficiency traditional decodeandforward df relaying employs two time slots by using halfduplex relays which significantly reduces the spectral efficiency the isdf strategy utilizes the relay only if the direct link quality fails to attain a certain information rate thereby improving the spectral efficiency the path gain is assumed to be lognormally distributed with very high distance dependent signal attenuation furthermore the additive noise is modeled as a bernoulligaussian process to incorporate the effects of impulsive noise contents closedform expressions for the outage probability and the fraction of times the relay is in use and an approximate closedform expression for the average bit error rate ber are derived for the binary phaseshift keying signaling scheme we observe that the fraction of times the relay is in use can be significantly reduced compared to the traditional df strategy it is also observed that at high transmit power the spectral efficiency increases while the average ber decreases with increase in the required rate | [['in', 'this', 'paper', 'an', 'incremental', 'selective', 'decodeandforward', 'isdf', 'relay', 'strategy', 'is', 'proposed', 'for', 'power', 'line', 'communication', 'plc', 'systems', 'to', 'improve', 'the', 'spectral', 'efficiency', 'traditional', 'decodeandforward', 'df', 'relaying', 'employs', 'two', 'time', 'slots', 'by', 'using', 'halfduplex', 'relays', 'which', 'significantly', 'reduces', 'the', 'spectral', 'efficiency', 'the', 'isdf', 'strategy', 'utilizes', 'the', 'relay', 'only', 'if', 'the', 'direct', 'link', 'quality', 'fails', 'to', 'attain', 'a', 'certain', 'information', 'rate', 'thereby', 'improving', 'the', 'spectral', 'efficiency', 'the', 'path', 'gain', 'is', 'assumed', 'to', 'be', 'lognormally', 'distributed', 'with', 'very', 'high', 'distance', 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1,803.00627 | Ph.D. Thesis-Martingale Hardy spaces and summability of the one
dimensional Vilenkin-Fourier series | In this PhD thesis we discuss, develop and apply this fascinating theory
connected to modern harmonic analysis. In particular we make new estimations of
Vilenkin-Fourier coefficients and prove some new results concerning boundedness
of maximal operators of partial sums. Moreover, we derive necessary and
sufficient conditions for the modulus of continuity so that norm convergence of
the partial sums is valid and develop new methods to prove Hardy type
inequalities for the partial sums with respect to the Vilenkin systems. We also
do the similar investigation for the Fej\'er means. Furthermore, we investigate
some N\"orlund means but only in the case when their coefficients are monotone.
Some well-know examples of N\"orlund means are Fej\'er means, Ces\`aro means
and N\"orlund logarithmic means. In addition, we consider Riesz logarithmic
means, which are not example of N\"orlund means. It is also proved that these
results are the best possible in a special sense. As applications both some
well-known and new results are pointed out.
| math.CA | in this phd thesis we discuss develop and apply this fascinating theory connected to modern harmonic analysis in particular we make new estimations of vilenkinfourier coefficients and prove some new results concerning boundedness of maximal operators of partial sums moreover we derive necessary and sufficient conditions for the modulus of continuity so that norm convergence of the partial sums is valid and develop new methods to prove hardy type inequalities for the partial sums with respect to the vilenkin systems we also do the similar investigation for the fejer means furthermore we investigate some norlund means but only in the case when their coefficients are monotone some wellknow examples of norlund means are fejer means cesaro means and norlund logarithmic means in addition we consider riesz logarithmic means which are not example of norlund means it is also proved that these results are the best possible in a special sense as applications both some wellknown and new results are pointed out | [['in', 'this', 'phd', 'thesis', 'we', 'discuss', 'develop', 'and', 'apply', 'this', 'fascinating', 'theory', 'connected', 'to', 'modern', 'harmonic', 'analysis', 'in', 'particular', 'we', 'make', 'new', 'estimations', 'of', 'vilenkinfourier', 'coefficients', 'and', 'prove', 'some', 'new', 'results', 'concerning', 'boundedness', 'of', 'maximal', 'operators', 'of', 'partial', 'sums', 'moreover', 'we', 'derive', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'modulus', 'of', 'continuity', 'so', 'that', 'norm', 'convergence', 'of', 'the', 'partial', 'sums', 'is', 'valid', 'and', 'develop', 'new', 'methods', 'to', 'prove', 'hardy', 'type', 'inequalities', 'for', 'the', 'partial', 'sums', 'with', 'respect', 'to', 'the', 'vilenkin', 'systems', 'we', 'also', 'do', 'the', 'similar', 'investigation', 'for', 'the', 'fejer', 'means', 'furthermore', 'we', 'investigate', 'some', 'norlund', 'means', 'but', 'only', 'in', 'the', 'case', 'when', 'their', 'coefficients', 'are', 'monotone', 'some', 'wellknow', 'examples', 'of', 'norlund', 'means', 'are', 'fejer', 'means', 'cesaro', 'means', 'and', 'norlund', 'logarithmic', 'means', 'in', 'addition', 'we', 'consider', 'riesz', 'logarithmic', 'means', 'which', 'are', 'not', 'example', 'of', 'norlund', 'means', 'it', 'is', 'also', 'proved', 'that', 'these', 'results', 'are', 'the', 'best', 'possible', 'in', 'a', 'special', 'sense', 'as', 'applications', 'both', 'some', 'wellknown', 'and', 'new', 'results', 'are', 'pointed', 'out']] | [-0.10047067149096857, 0.06192212304540025, -0.06951652585998068, 0.12560500343972297, -0.10291976065726326, -0.1090123336877882, 0.029520480436206396, 0.36526720937318313, -0.29086323855126633, -0.18994806213080248, 0.1625379996095142, -0.2834403805842519, -0.21838907538826421, 0.25618551803611056, -0.11151403654366732, 0.09507196123555581, 0.03867422876682896, 0.03517198309256053, -0.10058290134827601, -0.3100040251438315, 0.3438371502857956, -0.014916629142920423, 0.19917411887902559, 0.09540510386472961, 0.062445236666971146, 0.00085609894454109, -0.08006371617149446, 0.01597198204900954, -0.21388372724851584, 0.13721633727535004, 0.22602665547197626, 0.09660205240390315, 0.3189011633349872, -0.40804401223449416, -0.1554913961600443, 0.14697561865406378, 0.13305875830502706, 0.04654057725601662, -0.048121000822309565, -0.26017256263753413, 0.10159191836838709, -0.1380784968883146, -0.1857605094685919, -0.20179261900311024, -0.016259920468079562, 0.12731332523944955, -0.2995306859082132, 0.08039911318048314, 0.10432163506792569, 0.06885833886049988, -0.06944785827788183, -0.14377371311442266, 0.058693903264074775, 0.07945301464953321, 0.06052485997976608, -0.04338852135661226, 0.021345154480626863, -0.061002966970992015, -0.09512642653071848, 0.33797772044477903, -0.04367370786281268, -0.23182115273590645, 0.1543287444073036, -0.1739138300799597, -0.18027001158594622, 0.033462240968784605, 0.08657142321249435, 0.1747452011765762, -0.15155166763169126, 0.10461475104397244, -0.07921423985310454, 0.09857808646994719, 0.1302450165463111, 0.08295651254539164, 0.07898924528673198, 0.043935667251971386, 0.10408354512276996, 0.17522886090171494, 0.021333897528357904, -0.10183346205895698, -0.36409132172402736, -0.21385096178841284, -0.14569626723688026, 0.056798392644398614, -0.0880871983281169, -0.14510854846734253, 0.3330432761696266, 0.13048931394605348, 0.14472239587227495, 0.099933693812356, 0.20784812302600522, 0.16030327168832711, 0.009196978549744864, 0.05385051506299595, 0.19939052142703223, 0.20754721768848275, 0.05464649427196254, -0.12412702017724052, 0.03377688057165339, 0.1516722980944544] |
1,803.00628 | GelSlim: A High-Resolution, Compact, Robust, and Calibrated
Tactile-sensing Finger | This work describes the development of a high-resolution tactile-sensing
finger for robot grasping. This finger, inspired by previous GelSight sensing
techniques, features an integration that is slimmer, more robust, and with more
homogeneous output than previous vision-based tactile sensors. To achieve a
compact integration, we redesign the optical path from illumination source to
camera by combining light guides and an arrangement of mirror reflections. We
parameterize the optical path with geometric design variables and describe the
tradeoffs between the finger thickness, the depth of field of the camera, and
the size of the tactile sensing area. The sensor sustains the wear from
continuous use -- and abuse -- in grasping tasks by combining tougher materials
for the compliant soft gel, a textured fabric skin, a structurally rigid body,
and a calibration process that maintains homogeneous illumination and contrast
of the tactile images during use. Finally, we evaluate the sensor's durability
along four metrics that track the signal quality during more than 3000 grasping
experiments.
| cs.RO | this work describes the development of a highresolution tactilesensing finger for robot grasping this finger inspired by previous gelsight sensing techniques features an integration that is slimmer more robust and with more homogeneous output than previous visionbased tactile sensors to achieve a compact integration we redesign the optical path from illumination source to camera by combining light guides and an arrangement of mirror reflections we parameterize the optical path with geometric design variables and describe the tradeoffs between the finger thickness the depth of field of the camera and the size of the tactile sensing area the sensor sustains the wear from continuous use and abuse in grasping tasks by combining tougher materials for the compliant soft gel a textured fabric skin a structurally rigid body and a calibration process that maintains homogeneous illumination and contrast of the tactile images during use finally we evaluate the sensors durability along four metrics that track the signal quality during more than 3000 grasping experiments | [['this', 'work', 'describes', 'the', 'development', 'of', 'a', 'highresolution', 'tactilesensing', 'finger', 'for', 'robot', 'grasping', 'this', 'finger', 'inspired', 'by', 'previous', 'gelsight', 'sensing', 'techniques', 'features', 'an', 'integration', 'that', 'is', 'slimmer', 'more', 'robust', 'and', 'with', 'more', 'homogeneous', 'output', 'than', 'previous', 'visionbased', 'tactile', 'sensors', 'to', 'achieve', 'a', 'compact', 'integration', 'we', 'redesign', 'the', 'optical', 'path', 'from', 'illumination', 'source', 'to', 'camera', 'by', 'combining', 'light', 'guides', 'and', 'an', 'arrangement', 'of', 'mirror', 'reflections', 'we', 'parameterize', 'the', 'optical', 'path', 'with', 'geometric', 'design', 'variables', 'and', 'describe', 'the', 'tradeoffs', 'between', 'the', 'finger', 'thickness', 'the', 'depth', 'of', 'field', 'of', 'the', 'camera', 'and', 'the', 'size', 'of', 'the', 'tactile', 'sensing', 'area', 'the', 'sensor', 'sustains', 'the', 'wear', 'from', 'continuous', 'use', 'and', 'abuse', 'in', 'grasping', 'tasks', 'by', 'combining', 'tougher', 'materials', 'for', 'the', 'compliant', 'soft', 'gel', 'a', 'textured', 'fabric', 'skin', 'a', 'structurally', 'rigid', 'body', 'and', 'a', 'calibration', 'process', 'that', 'maintains', 'homogeneous', 'illumination', 'and', 'contrast', 'of', 'the', 'tactile', 'images', 'during', 'use', 'finally', 'we', 'evaluate', 'the', 'sensors', 'durability', 'along', 'four', 'metrics', 'that', 'track', 'the', 'signal', 'quality', 'during', 'more', 'than', '3000', 'grasping', 'experiments']] | [-0.0919194575981237, 0.09521741069221645, -0.07442500916263664, -0.0792167302163728, -0.12304585030371393, -0.16724033755779175, 0.009438264885066468, 0.46224140569015787, -0.23563595083657146, -0.3277884359919914, 0.10419188689276646, -0.26660154698083155, -0.2068713357798571, 0.22392475379079027, -0.19221376667494805, 0.08402515056738515, 0.08175576454672365, 0.002958140229622339, -0.042160646054307346, -0.18688851937272208, 0.2743353506501327, 0.043831204581591815, 0.321970815229931, -0.013638550297602907, 0.1584547889953548, 0.0670093446093278, -0.026016422808975165, 0.003837275456775118, -0.09546456987214853, 0.16700490985574476, 0.24441390107443303, 0.11794935771045678, 0.22351657835778171, -0.4620764331754159, -0.2184777479549801, 0.019709441074986518, 0.08489578883628933, 0.06580803546850443, -0.06487303612928731, -0.3351624357861892, 0.07599501675109804, -0.12245836536138445, -0.09246111106570166, -0.03049523627994881, 0.018113235294830377, -0.006227107192562135, -0.24482286883012197, -0.018956302459650663, 0.011972747932843588, 0.12023510689341267, -0.11839248777516646, -0.04306575075585257, 0.033090649253148356, 0.1830560845857555, -0.011057345422428895, 0.03927126070656986, 0.2497624336356688, -0.2153979987042139, -0.1007089320897918, 0.35834278594012614, 0.02138603282075542, -0.17528381168175441, 0.19346733365702318, -0.059823622567763114, -0.04308475436711753, 0.15146678851997872, 0.19332144959013403, 0.12376188447578224, -0.1702157792687002, -0.033595711518478594, 0.015603478806794701, 0.23375551011930737, 0.11887351789276035, -0.019186169653556046, 0.18959275246743346, 0.2443811295117125, 0.09848505267183538, 0.1575292447369178, -0.1585393795888385, -0.0021406898302325037, -0.230141839955324, -0.1713806811467181, -0.15900288199514356, -0.009801411157600397, -0.11842140265933401, -0.13973012573465152, 0.3753020465086548, 0.1976086020535778, 0.18422556608443919, 0.06333379974778465, 0.3853556991347836, -0.030764467478154894, 0.10012775746513342, 0.025902627613740386, 0.24395372391100628, 0.0497327584702878, 0.15110584374885133, -0.19975256918567336, 0.061088317484928316, 0.004645518869460549] |
1,803.00629 | Analytical Models of Exoplanetary Atmospheres. V. Non-gray Thermal
Structure with Coherent Scattering | We apply the picket fence treatment to model the effects brought about by
spectral lines on the thermal structure of irradiated atmospheres. The lines
may be due to purely absorption processes, purely coherent scattering processes
or some combination of absorption and scattering. If the lines arise as a pure
absorption process, the surface layers of the atmosphere are cooler whereas
this surface cooling is completely absent if the lines are due to pure coherent
isotropic scattering. The lines also lead to a warming of the deeper
atmosphere. The warming of the deeper layers is, however, independent of the
nature of line formation. Accounting for coherent isotropic scattering in the
shortwave and longwave continuum results in anti-greenhouse cooling and
greenhouse warming on an atmosphere-wide scale. The effects of coherent
isotropic scattering in the line and continuum operate in tandem to determine
the resulting thermal structure of the irradiated atmosphere.
| astro-ph.EP | we apply the picket fence treatment to model the effects brought about by spectral lines on the thermal structure of irradiated atmospheres the lines may be due to purely absorption processes purely coherent scattering processes or some combination of absorption and scattering if the lines arise as a pure absorption process the surface layers of the atmosphere are cooler whereas this surface cooling is completely absent if the lines are due to pure coherent isotropic scattering the lines also lead to a warming of the deeper atmosphere the warming of the deeper layers is however independent of the nature of line formation accounting for coherent isotropic scattering in the shortwave and longwave continuum results in antigreenhouse cooling and greenhouse warming on an atmospherewide scale the effects of coherent isotropic scattering in the line and continuum operate in tandem to determine the resulting thermal structure of the irradiated atmosphere | [['we', 'apply', 'the', 'picket', 'fence', 'treatment', 'to', 'model', 'the', 'effects', 'brought', 'about', 'by', 'spectral', 'lines', 'on', 'the', 'thermal', 'structure', 'of', 'irradiated', 'atmospheres', 'the', 'lines', 'may', 'be', 'due', 'to', 'purely', 'absorption', 'processes', 'purely', 'coherent', 'scattering', 'processes', 'or', 'some', 'combination', 'of', 'absorption', 'and', 'scattering', 'if', 'the', 'lines', 'arise', 'as', 'a', 'pure', 'absorption', 'process', 'the', 'surface', 'layers', 'of', 'the', 'atmosphere', 'are', 'cooler', 'whereas', 'this', 'surface', 'cooling', 'is', 'completely', 'absent', 'if', 'the', 'lines', 'are', 'due', 'to', 'pure', 'coherent', 'isotropic', 'scattering', 'the', 'lines', 'also', 'lead', 'to', 'a', 'warming', 'of', 'the', 'deeper', 'atmosphere', 'the', 'warming', 'of', 'the', 'deeper', 'layers', 'is', 'however', 'independent', 'of', 'the', 'nature', 'of', 'line', 'formation', 'accounting', 'for', 'coherent', 'isotropic', 'scattering', 'in', 'the', 'shortwave', 'and', 'longwave', 'continuum', 'results', 'in', 'antigreenhouse', 'cooling', 'and', 'greenhouse', 'warming', 'on', 'an', 'atmospherewide', 'scale', 'the', 'effects', 'of', 'coherent', 'isotropic', 'scattering', 'in', 'the', 'line', 'and', 'continuum', 'operate', 'in', 'tandem', 'to', 'determine', 'the', 'resulting', 'thermal', 'structure', 'of', 'the', 'irradiated', 'atmosphere']] | [-0.06670447671825548, 0.177750840866372, -0.03583385212169517, 0.06658408837359517, -0.03438628300213489, -0.06902835219876752, 0.05838708692629423, 0.39315539076100703, -0.2771821852748086, -0.24779400057444462, 0.10070882368908853, -0.2902866800309343, -0.06821096619293347, 0.16885987469343608, 0.005237697997466237, -0.03268782557922789, 0.017409163273769578, -0.08588055662532039, -0.006561637621651701, -0.1932982421657514, 0.34356514392357296, 0.10610273177418732, 0.246489220134103, 0.09778702570613296, -0.010533618940306562, -0.006988814981261484, -0.02915460637574192, -0.015133097590435119, -0.08831777027966518, 0.08381438462798592, 0.22255638895594343, 0.0298034428435415, 0.138551139519835, -0.4814325422808832, -0.3111219773461827, 0.06509056128561497, 0.12493878671246879, 0.1121164835200702, 0.016811600507737525, -0.21237995852494523, -0.027138137797109125, -0.08167556002672736, -0.15610430029467964, 0.007729938873058172, 0.002518545313529214, -0.026941726387313687, -0.2509555909442113, 0.06677784927036505, 0.13264263014239416, 0.0909574893873413, -0.10891761008307946, -0.10022289753847179, -0.10098095029769909, 0.09493388106165847, 0.019327597798530938, -0.04154766859727449, 0.2012364484756222, -0.15866714792221556, -0.051894405251685656, 0.41365544485295713, -0.12487060060965366, -0.05713216323076057, 0.23044073436611973, -0.15221603008836102, -0.05513590776051084, 0.2880826615886826, 0.1580527050350951, 0.08730676398473178, -0.13436880435392287, 0.03825515035546201, -0.02489480194413946, 0.15439816996721284, 0.08776038230023012, 0.04656250585586492, 0.2655482622953195, 0.14569148620381495, 0.016826206657162005, 0.10588683553957096, -0.16547827550913302, -0.06021823040938296, -0.25598696860022285, -0.1117030110362233, -0.08910400308922034, 0.08604270233741017, -0.023007884899987428, -0.2131133446926061, 0.32804477880795985, 0.14374972662182056, 0.19420923734856707, -0.04166468468551733, 0.325230866315819, 0.16112839087105807, 0.04862870486947347, 0.08638240080516861, 0.3080123779183764, 0.19962580531810215, 0.08233730106608195, -0.271018131301884, 0.06825606947207227, -0.014203630090013247] |
1,803.0063 | Non-Causal Propagation for Higher-Order Interactions of Torsion with
Spinor Fields | We consider field equations of spinors with torsional interactions having
higher-order dimension: by applying the Velo-Zwanziger method, we obtain that
it is always possible to find situations where the propagation is affected by
non-causal behaviour.
| hep-th | we consider field equations of spinors with torsional interactions having higherorder dimension by applying the velozwanziger method we obtain that it is always possible to find situations where the propagation is affected by noncausal behaviour | [['we', 'consider', 'field', 'equations', 'of', 'spinors', 'with', 'torsional', 'interactions', 'having', 'higherorder', 'dimension', 'by', 'applying', 'the', 'velozwanziger', 'method', 'we', 'obtain', 'that', 'it', 'is', 'always', 'possible', 'to', 'find', 'situations', 'where', 'the', 'propagation', 'is', 'affected', 'by', 'noncausal', 'behaviour']] | [-0.15389152435319764, 0.17592171702001777, -0.05105069054323914, 0.05534232647956482, -0.13939933742263488, -0.17634148358234336, -0.034469804939414775, 0.3568135006087167, -0.27024662931050575, -0.2605663573103292, 0.06722410523465701, -0.25563342230660574, -0.2147201762667724, 0.14514184514326708, -0.0065411294677427834, -0.03175850127424513, 0.030971036798187666, 0.07730353490582534, -0.03870591536896037, -0.24593218581617943, 0.3889000801901732, 0.005136349903685706, 0.24592734277248382, 0.010294302832335234, 0.1145823319043432, 0.025890919579459087, 0.015092186104240162, 0.06814091953315905, -0.13534893351710967, 0.05359623788722924, 0.23006432663117135, 0.10013998481445015, 0.20827748296516282, -0.41889568897230284, -0.275214739463159, 0.1199179146305791, 0.14541747953210557, 0.14608067380530493, 0.014819557928214116, -0.30363709511501447, 0.06826727116879608, -0.12946875388068813, -0.20201422199606894, -0.14307854763631309, -0.00120290210137942, -0.012110046190874918, -0.2689454685364451, 0.14082282217485564, 0.07108983514564378, 0.020743632043844887, -0.02986458319106272, -0.04566716171268906, 0.002402080854933177, 0.062498342375537114, 0.11826720000577293, -0.018001301480191096, 0.06474779772439174, -0.1146331787109375, -0.10495954443301474, 0.390819809678942, -0.06686290284352643, -0.29621165192552973, 0.14976373324170708, -0.13897853456687048, -0.04711009500814336, 0.10366576649414908, 0.12929782308638096, 0.1315849666084562, -0.14232980574348142, 0.11904465803610427, -0.00655439669000251, 0.1296417648937287, 0.11057221266840185, 0.002879588132990258, 0.12067369196031774, 0.12622913889853019, 0.07260821956608976, 0.16389627158641815, -0.031566818031881536, -0.10014999008770765, -0.311699994121279, -0.09754241041040847, -0.12125913029802697, 0.07659222786980016, -0.053048590384423736, -0.13826728968748025, 0.32656973270433287, 0.17822233792394399, 0.1279178600492222, 0.02127840407192707, 0.2831839335816247, 0.18030217826432948, 0.05384978268827711, 0.12971911068473543, 0.29970058282571177, 0.15440255915746093, 0.03589731329785926, -0.21417915988713504, 0.0321836464772267, 0.06833638373230184] |
1,803.00631 | Relay Selection to Improve Secrecy in Cooperative Threshold
Decode-and-Forward Relaying | In this paper, relay selection is considered to enhance security of a
cooperative system with multiple threshold-selection decode-and-forward (DF)
relays. Threshold-selection DF relays are the relays in which a predefined
signal-to-noise ratio is set for the condition of successful decoding of the
source message. We focus on the practical and general scenario where the
channels suffer from independent non-identical Rayleigh fading and where the
direct links between the source and destination and source and eavesdropper are
available. Based on channel state information knowledge, three relay selection
strategies, namely traditional, improved traditional, and optimal, are studied.
In particular, the secrecy outage probability of all three strategies are
obtained in closed-form. It is found that the diversity of secrecy outage
probability of all strategies can improve with increasing the number of relays.
It is also observed that the secrecy outage probability is limited by either
the source to relay or relay to destination channel quality.
| eess.SP | in this paper relay selection is considered to enhance security of a cooperative system with multiple thresholdselection decodeandforward df relays thresholdselection df relays are the relays in which a predefined signaltonoise ratio is set for the condition of successful decoding of the source message we focus on the practical and general scenario where the channels suffer from independent nonidentical rayleigh fading and where the direct links between the source and destination and source and eavesdropper are available based on channel state information knowledge three relay selection strategies namely traditional improved traditional and optimal are studied in particular the secrecy outage probability of all three strategies are obtained in closedform it is found that the diversity of secrecy outage probability of all strategies can improve with increasing the number of relays it is also observed that the secrecy outage probability is limited by either the source to relay or relay to destination channel quality | [['in', 'this', 'paper', 'relay', 'selection', 'is', 'considered', 'to', 'enhance', 'security', 'of', 'a', 'cooperative', 'system', 'with', 'multiple', 'thresholdselection', 'decodeandforward', 'df', 'relays', 'thresholdselection', 'df', 'relays', 'are', 'the', 'relays', 'in', 'which', 'a', 'predefined', 'signaltonoise', 'ratio', 'is', 'set', 'for', 'the', 'condition', 'of', 'successful', 'decoding', 'of', 'the', 'source', 'message', 'we', 'focus', 'on', 'the', 'practical', 'and', 'general', 'scenario', 'where', 'the', 'channels', 'suffer', 'from', 'independent', 'nonidentical', 'rayleigh', 'fading', 'and', 'where', 'the', 'direct', 'links', 'between', 'the', 'source', 'and', 'destination', 'and', 'source', 'and', 'eavesdropper', 'are', 'available', 'based', 'on', 'channel', 'state', 'information', 'knowledge', 'three', 'relay', 'selection', 'strategies', 'namely', 'traditional', 'improved', 'traditional', 'and', 'optimal', 'are', 'studied', 'in', 'particular', 'the', 'secrecy', 'outage', 'probability', 'of', 'all', 'three', 'strategies', 'are', 'obtained', 'in', 'closedform', 'it', 'is', 'found', 'that', 'the', 'diversity', 'of', 'secrecy', 'outage', 'probability', 'of', 'all', 'strategies', 'can', 'improve', 'with', 'increasing', 'the', 'number', 'of', 'relays', 'it', 'is', 'also', 'observed', 'that', 'the', 'secrecy', 'outage', 'probability', 'is', 'limited', 'by', 'either', 'the', 'source', 'to', 'relay', 'or', 'relay', 'to', 'destination', 'channel', 'quality']] | [-0.27765322237403367, 0.015229186316300792, -0.0146749057301801, 0.020123627587690266, -0.07485414814398764, -0.3516821300221327, 0.17812651590051531, 0.40947631225476855, -0.2401798519311972, -0.22876586738267754, 0.08075217761440215, -0.2781819938118965, -0.12918311014643633, 0.0926407458065869, -0.11547354050893702, 0.06221328888794565, 0.025916871136918762, 0.10130894131002814, 0.01925861348818038, -0.3067198835702893, 0.3464891509977748, 0.15511604554318134, 0.38492795801264984, 0.03435814225120969, 0.07484175441132286, 0.029547428665073965, -0.032040344015542975, -0.0692798060188496, -0.10467559675995361, 0.0032153439318481224, 0.36440104409273155, 0.23819256537882846, 0.22940124881155546, -0.36092561869303774, -0.2813050214907313, 0.07489442334090378, 0.2008633556063561, 0.0719882785578508, -0.021627289235433625, -0.2817576145631523, 0.12957011811203914, -0.24824109373445274, 0.0465238767560401, 0.09458090220669321, -0.104302189492444, 0.10988989737785719, -0.3695953350173297, 0.005560900929065884, -0.01681816934461833, 0.029298660458747322, -0.036065859644022445, -0.15579767522304713, 0.001526273578539296, 0.21408966776087052, 0.06807970186981549, -0.012146330679754659, 0.0836272488342099, -0.10487693404090999, -0.11196287581392753, 0.31947811846956126, 0.028376147726221997, -0.25859939052839004, 0.16070160803802044, -0.08313214249628918, -0.09901010700093668, 0.20431584518195856, 0.2394351486563287, 0.07265690370809798, -0.20653824734401105, -0.010882543542215394, 0.0034366769478747657, 0.1591093591505698, 0.10220964242600733, 0.15990203292469732, 0.12546604485601015, 0.15154140789116569, 0.12965516820306483, 0.14157389148193247, -0.1461198807060962, -0.1266081525610906, -0.2387728300405928, -0.10735369911052141, -0.23834284527449462, 0.010208992434367294, -0.1203478317984739, -0.032963524864730885, 0.3019553390894621, 0.12898800769490584, 0.08158482293738356, 0.11862616119160639, 0.4252728528154442, 0.1200918089226535, -0.024337290783163185, 0.15098916524960324, 0.24150063517256914, 0.0901394390144988, 0.04811917221648436, -0.19205632628538202, 0.1402270529279181, -0.02969244457294349] |
1,803.00632 | Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric
function | The well known table of Gradshteyn and Ryzhik contains indefinite and
definite integrals of both elementary and special functions. We give proofs of
several entries containing integrands with some combination of hyperbolic and
trigonometric functions. In fact, we occasionally present an extension of such
entries or else give alternative evaluations. We develop connections with
special cases of special functions including the Hurwitz zeta function. Before
concluding we mention new integrals coming from the investigation of certain
elliptic functions.
| math.CA | the well known table of gradshteyn and ryzhik contains indefinite and definite integrals of both elementary and special functions we give proofs of several entries containing integrands with some combination of hyperbolic and trigonometric functions in fact we occasionally present an extension of such entries or else give alternative evaluations we develop connections with special cases of special functions including the hurwitz zeta function before concluding we mention new integrals coming from the investigation of certain elliptic functions | [['the', 'well', 'known', 'table', 'of', 'gradshteyn', 'and', 'ryzhik', 'contains', 'indefinite', 'and', 'definite', 'integrals', 'of', 'both', 'elementary', 'and', 'special', 'functions', 'we', 'give', 'proofs', 'of', 'several', 'entries', 'containing', 'integrands', 'with', 'some', 'combination', 'of', 'hyperbolic', 'and', 'trigonometric', 'functions', 'in', 'fact', 'we', 'occasionally', 'present', 'an', 'extension', 'of', 'such', 'entries', 'or', 'else', 'give', 'alternative', 'evaluations', 'we', 'develop', 'connections', 'with', 'special', 'cases', 'of', 'special', 'functions', 'including', 'the', 'hurwitz', 'zeta', 'function', 'before', 'concluding', 'we', 'mention', 'new', 'integrals', 'coming', 'from', 'the', 'investigation', 'of', 'certain', 'elliptic', 'functions']] | [-0.1611899791422706, 0.03886925941351831, -0.048011217411094084, 0.11145989718632056, -0.13563067404230914, -0.13243392539712098, 0.05057429172134457, 0.34366109155309504, -0.26191815096908844, -0.23857635773049715, 0.14617993558894318, -0.3136894204385149, -0.22298085097692166, 0.22658355626910448, -0.08009447671102886, 0.05671128057516538, 0.07408769514698249, 0.050358542802337654, -0.1631811155985372, -0.2880381162126119, 0.37430421243089557, -0.06059180225771016, 0.07452255252820368, 0.07736889857980526, 0.11960835083692263, 0.08377114542198773, -0.125785628411298, -0.08046290310003548, -0.13083555773258781, 0.10283923559846023, 0.2431243484517416, 0.1386790627386803, 0.21815815432749402, -0.42618834011208934, -0.10528216101467991, 0.13266515961209407, 0.13554315894054106, 0.026438212702767208, -0.048621141873203065, -0.2459260340159138, -0.012701508592073925, -0.1813332032477961, -0.20007867298539703, -0.1472553526296113, 0.020442464203836445, 0.13815391060108176, -0.24159894260362938, 0.06464476768190089, 0.04905855057026761, 0.10622191507942401, -0.05360309468009151, -0.25558330544318336, 0.07442722605684629, 0.06807857122308072, 0.08228860213421285, 0.014055231080139773, 0.03268194388454923, -0.09722711530011087, -0.13636543833387968, 0.33855020732451707, -0.027264954746127702, -0.26050761001757705, 0.14486562442750886, -0.17043868981254023, -0.17992565451930156, 0.09295375313078506, 0.115954785177914, 0.17238861835227373, -0.0825103651971007, 0.11018263419958739, -0.09316323139967445, 0.07681655166193078, 0.14003508657408067, 0.04824903122603129, 0.13343094941228628, 0.01041676850320819, 0.01769057095785124, 0.19373133981552643, 0.03487425088548125, -0.1227146096718617, -0.41709671971889645, -0.18630427380617803, -0.10806103373089662, 0.08985584784442416, -0.10030352671627696, -0.29598083736327213, 0.42522951813701254, 0.0451953328298166, 0.18916925911505061, 0.09897311423451473, 0.21849539387636843, 0.13881570132798515, 0.10101667145052208, 0.04418391287804414, 0.11192593557755642, 0.15646921486581844, 0.03592169977342471, -0.04243611860483025, 0.016038349566933435, 0.13995802647864017] |
1,803.00633 | Numerical Accuracy Comparison of Two Boundary Conditions Commonly used
to Approximate Shear Stress Distributions in Tissue Engineering Scaffolds
Cultured under Flow Perfusion | Flow-induced shear stresses have been found to be a stimulatory factor in
pre-osteoblastic cells seeded in 3D porous scaffolds and cultured under
continuous flow perfusion. However, due to the complex internal structure of
the scaffolds, whole scaffold calculations of the local shear forces are
computationally-intensive. Instead, representative volume elements (RVEs),
which are obtained by extracting smaller portions of the scaffold, are commonly
used in literature without a numerical accuracy standard. Hence, the goal of
this study is to examine how closely the whole scaffold simulations are
approximated by the two types of boundary conditions used to enable the RVEs:
"wall boundary condition" (WBC) and "periodic boundary condition" (PBC). To
that end, Lattice-Boltzmann Method fluid dynamics simulations were used to
model the surface shear stresses in 3D scaffold reconstructions, obtained from
high resolution microcomputed tomography images. It was found that despite the
RVEs being sufficiently larger than 6 times the scaffold pore size (which is
the only accuracy guideline found in literature), the stresses were still
significantly under-predicted by both types of boundary conditions: between 20
and 80% average error, depending on the scaffold's porosity. Moreover, it was
found that the error grew with higher porosity. This is likely due to the small
pores dominating the flow field, and thereby negating the effects of the
unrealistic boundary conditions, when the scaffold porosity is small. Finally,
it was found that the PBC was always more accurate and computationally
efficient than the WBC. Therefore, it is the recommended type of RVE. Overall,
this work provides a previously-unavailable guidance to researchers regarding
the best choice of boundary conditions for RVE simulations.
| q-bio.QM q-bio.TO | flowinduced shear stresses have been found to be a stimulatory factor in preosteoblastic cells seeded in 3d porous scaffolds and cultured under continuous flow perfusion however due to the complex internal structure of the scaffolds whole scaffold calculations of the local shear forces are computationallyintensive instead representative volume elements rves which are obtained by extracting smaller portions of the scaffold are commonly used in literature without a numerical accuracy standard hence the goal of this study is to examine how closely the whole scaffold simulations are approximated by the two types of boundary conditions used to enable the rves wall boundary condition wbc and periodic boundary condition pbc to that end latticeboltzmann method fluid dynamics simulations were used to model the surface shear stresses in 3d scaffold reconstructions obtained from high resolution microcomputed tomography images it was found that despite the rves being sufficiently larger than 6 times the scaffold pore size which is the only accuracy guideline found in literature the stresses were still significantly underpredicted by both types of boundary conditions between 20 and 80 average error depending on the scaffolds porosity moreover it was found that the error grew with higher porosity this is likely due to the small pores dominating the flow field and thereby negating the effects of the unrealistic boundary conditions when the scaffold porosity is small finally it was found that the pbc was always more accurate and computationally efficient than the wbc therefore it is the recommended type of rve overall this work provides a previouslyunavailable guidance to researchers regarding the best choice of boundary conditions for rve simulations | [['flowinduced', 'shear', 'stresses', 'have', 'been', 'found', 'to', 'be', 'a', 'stimulatory', 'factor', 'in', 'preosteoblastic', 'cells', 'seeded', 'in', '3d', 'porous', 'scaffolds', 'and', 'cultured', 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1,803.00634 | The journey of Typhon-Echidna as a binary system through the planetary
region | Among the current population of the 81 known trans-Neptunian binaries (TNBs),
only two are in orbits that cross the orbit of Neptune. These are (42355)
Typhon-Echidna and (65489) Ceto-Phorcys. In the present work, we focused our
analyses on the temporal evolution of the Typhon-Echidna binary system through
the outer and inner planetary systems. Using numer- ical integrations of the
N-body gravitational problem, we explored the orbital evolutions of 500 clones
of Typhon, recording the close encounters of those clones with planets. We then
analysed the effects of those encounters on the binary system. It was found
that only 22% of the encounters with the giant planets were strong enough to
disrupt the binary. This binary system has an ~3.6% probability of reaching the
terrestrial planetary region over a time scale of approximately 5.4 Myr. Close
encounters of Typhon-Echidna with Earth and Venus were also registered, but the
probabilities of such events occurring are low (~0.4%). The orbital evolution
of the system in the past was also investigated. It was found that in the last
100 Myr, Typhon might have spent most of its time as a TNB crossing the orbit
of Neptune. Therefore, our study of the Typhon-Echidna orbital evolution
illustrates the possibility of large cometary bodies (radii of 76 km for Typhon
and 42 km for Echidna) coming from a remote region of the outer Solar System
and that might enter the terrestrial planetary region preserving its binarity
throughout the journey.
| astro-ph.EP | among the current population of the 81 known transneptunian binaries tnbs only two are in orbits that cross the orbit of neptune these are 42355 typhonechidna and 65489 cetophorcys in the present work we focused our analyses on the temporal evolution of the typhonechidna binary system through the outer and inner planetary systems using numer ical integrations of the nbody gravitational problem we explored the orbital evolutions of 500 clones of typhon recording the close encounters of those clones with planets we then analysed the effects of those encounters on the binary system it was found that only 22 of the encounters with the giant planets were strong enough to disrupt the binary this binary system has an 36 probability of reaching the terrestrial planetary region over a time scale of approximately 54 myr close encounters of typhonechidna with earth and venus were also registered but the probabilities of such events occurring are low 04 the orbital evolution of the system in the past was also investigated it was found that in the last 100 myr typhon might have spent most of its time as a tnb crossing the orbit of neptune therefore our study of the typhonechidna orbital evolution illustrates the possibility of large cometary bodies radii of 76 km for typhon and 42 km for echidna coming from a remote region of the outer solar system and that might enter the terrestrial planetary region preserving its binarity throughout the journey | [['among', 'the', 'current', 'population', 'of', 'the', '81', 'known', 'transneptunian', 'binaries', 'tnbs', 'only', 'two', 'are', 'in', 'orbits', 'that', 'cross', 'the', 'orbit', 'of', 'neptune', 'these', 'are', '42355', 'typhonechidna', 'and', '65489', 'cetophorcys', 'in', 'the', 'present', 'work', 'we', 'focused', 'our', 'analyses', 'on', 'the', 'temporal', 'evolution', 'of', 'the', 'typhonechidna', 'binary', 'system', 'through', 'the', 'outer', 'and', 'inner', 'planetary', 'systems', 'using', 'numer', 'ical', 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1,803.00635 | Bulk Fermi surfaces of the Dirac Type-II Semimetallic Candidates VAl3,
NbAl3 and TaAl3 | We report a de Haas-van Alphen (dHvA) effect study on the Dirac type-II
semimetallic candidates \emph{M}Al$_3$ (where, \emph{M} = V, Nb and Ta). The
angular-dependence of their Fermi surface (FS) cross-sectional areas reveals a
remarkably good agreement with first-principle calculations. Therefore, dHvA
supports the existence of tilted Dirac cones with Dirac type-II nodes located
at 100, 230 and 250 meV above the Fermi level $\varepsilon_F$ for VAl$_3$,
NbAl$_3$ and TaAl$_3$ respectively, in agreement with the prediction of broken
Lorentz invariance in these compounds. However, for all three compounds we find
that the cyclotron orbits on their FSs, including an orbit nearly enclosing the
Dirac type-II node, yield trivial Berry phases. We explain this $via$ an
analysis of the Berry phase where the position of this orbit, relative to the
Dirac node, is adjusted within the error implied by the small disagreement
between our calculations and the experiments. We suggest that a very small
amount of doping could displace $\varepsilon_F$ to produce topologically
non-trivial orbits encircling their Dirac node(s).
| cond-mat.mtrl-sci | we report a de haasvan alphen dhva effect study on the dirac typeii semimetallic candidates emphmal_3 where emphm v nb and ta the angulardependence of their fermi surface fs crosssectional areas reveals a remarkably good agreement with firstprinciple calculations therefore dhva supports the existence of tilted dirac cones with dirac typeii nodes located at 100 230 and 250 mev above the fermi level varepsilon_f for val_3 nbal_3 and taal_3 respectively in agreement with the prediction of broken lorentz invariance in these compounds however for all three compounds we find that the cyclotron orbits on their fss including an orbit nearly enclosing the dirac typeii node yield trivial berry phases we explain this via an analysis of the berry phase where the position of this orbit relative to the dirac node is adjusted within the error implied by the small disagreement between our calculations and the experiments we suggest that a very small amount of doping could displace varepsilon_f to produce topologically nontrivial orbits encircling their dirac nodes | [['we', 'report', 'a', 'de', 'haasvan', 'alphen', 'dhva', 'effect', 'study', 'on', 'the', 'dirac', 'typeii', 'semimetallic', 'candidates', 'emphmal_3', 'where', 'emphm', 'v', 'nb', 'and', 'ta', 'the', 'angulardependence', 'of', 'their', 'fermi', 'surface', 'fs', 'crosssectional', 'areas', 'reveals', 'a', 'remarkably', 'good', 'agreement', 'with', 'firstprinciple', 'calculations', 'therefore', 'dhva', 'supports', 'the', 'existence', 'of', 'tilted', 'dirac', 'cones', 'with', 'dirac', 'typeii', 'nodes', 'located', 'at', '100', '230', 'and', '250', 'mev', 'above', 'the', 'fermi', 'level', 'varepsilon_f', 'for', 'val_3', 'nbal_3', 'and', 'taal_3', 'respectively', 'in', 'agreement', 'with', 'the', 'prediction', 'of', 'broken', 'lorentz', 'invariance', 'in', 'these', 'compounds', 'however', 'for', 'all', 'three', 'compounds', 'we', 'find', 'that', 'the', 'cyclotron', 'orbits', 'on', 'their', 'fss', 'including', 'an', 'orbit', 'nearly', 'enclosing', 'the', 'dirac', 'typeii', 'node', 'yield', 'trivial', 'berry', 'phases', 'we', 'explain', 'this', 'via', 'an', 'analysis', 'of', 'the', 'berry', 'phase', 'where', 'the', 'position', 'of', 'this', 'orbit', 'relative', 'to', 'the', 'dirac', 'node', 'is', 'adjusted', 'within', 'the', 'error', 'implied', 'by', 'the', 'small', 'disagreement', 'between', 'our', 'calculations', 'and', 'the', 'experiments', 'we', 'suggest', 'that', 'a', 'very', 'small', 'amount', 'of', 'doping', 'could', 'displace', 'varepsilon_f', 'to', 'produce', 'topologically', 'nontrivial', 'orbits', 'encircling', 'their', 'dirac', 'nodes']] | [-0.2247526524134162, 0.18721273108034128, -0.04500496679371813, 0.049807768629540165, -0.047697457748432585, -0.15891225678312434, 0.15711526306936655, 0.3528653712284456, -0.20964544644670152, -0.3169446782231694, -0.03413423707299843, -0.35966854649539126, -0.12741165786481848, 0.20405025853741368, -0.0051546568496766065, 0.005150893447557237, 0.040916650839612774, -0.009284791921367642, -0.1672885721072373, -0.21400161457841466, 0.3064611912932156, 0.07084955473248733, 0.29537430173637935, 0.044132172409728984, 0.029865095684327547, -0.03751137029243315, 0.0972469803471141, 0.008919210073810706, -0.14697838773592106, 0.06445115245736727, 0.24958577590835532, -0.1104055890222875, 0.15772565212895776, -0.3821251370110719, -0.16930728286317345, 0.012240663491666498, 0.11981559285280727, 0.08337488981168263, -0.0823003770286649, -0.34435145185533456, 0.09536848489760148, -0.12678530775919195, -0.15552898514845476, -0.06696751183921063, -0.016986168421259742, -0.056991438937186056, -0.1615731039967547, 0.116835266549038, 0.0013023210207526374, 0.08826733649651188, -0.10458184752567876, -0.14559585437967965, -0.10795397424031185, 0.05155898541497442, 0.0809437914016066, 0.017741266030586813, 0.11172238929997902, -0.041461871271788305, -0.0983716748255907, 0.404946118187182, -0.05671435462810644, -0.09302343951719927, 0.14884500389722766, -0.22606065187742722, -0.08276635343663213, 0.16093239237457832, 0.09001576794856568, 0.05987962686510689, -0.05855987098340581, 0.09463327372497765, -0.044638412415402055, 0.139215518413793, 0.07919726315204327, 0.02653870626099666, 0.3058502102815887, 0.12480659539266149, 0.06185231313163347, 0.013196500153820281, -0.196222606327998, -0.05493895413649336, -0.2938531578075504, -0.15411614963682596, -0.19305900102211504, 0.06163435785288684, -0.07099798650472998, -0.2091112373873773, 0.4170747003631621, 0.10366843936598587, 0.2567478103943669, -0.01595929937959626, 0.18950427884928792, 0.07772297231642325, 0.06105887855363374, 0.1021610066243561, 0.2929329347722914, 0.11019108428480671, 0.06887553787964862, -0.2952912317975083, 0.013642542427632867, 0.0051884060305338806] |
1,803.00636 | Secrecy performance of dual-hop threshold relaying system with diversity
reception | In this paper, the secrecy of a cooperative system consisting of a single
source, relay, destination and eavesdropper is analyzed. The
threshold-selection decode-and-forward relay is considered, where the relay can
correctly decode and forward only if it satisfies a threshold signal-to-noise
ratio (SNR). Both destination and eavesdropper take advantage of the direct and
relayed transmissions through maximal ratio diversity combining. The secrecy
outage probability (SOP) and ergodic secrecy rate are derived in closed-form
for different channel state information (CSI) availability. It was observed
that when the required rate is low, having CSI knowledge is more advantageous
than in the case of higher rate. An increase in the required threshold SNR at
the relay can increase the SOP if the relayed link SNR is relatively higher
than the direct link SNR. It was also shown that SOP cannot be improved beyond
a certain value when keeping either dual-hop link average SNR fixed and
increasing the other link SNR, whereas the ergodic secrecy rate can be
increased by keeping the source to destination average SNR fixed.
| eess.SP | in this paper the secrecy of a cooperative system consisting of a single source relay destination and eavesdropper is analyzed the thresholdselection decodeandforward relay is considered where the relay can correctly decode and forward only if it satisfies a threshold signaltonoise ratio snr both destination and eavesdropper take advantage of the direct and relayed transmissions through maximal ratio diversity combining the secrecy outage probability sop and ergodic secrecy rate are derived in closedform for different channel state information csi availability it was observed that when the required rate is low having csi knowledge is more advantageous than in the case of higher rate an increase in the required threshold snr at the relay can increase the sop if the relayed link snr is relatively higher than the direct link snr it was also shown that sop cannot be improved beyond a certain value when keeping either dualhop link average snr fixed and increasing the other link snr whereas the ergodic secrecy rate can be increased by keeping the source to destination average snr fixed | [['in', 'this', 'paper', 'the', 'secrecy', 'of', 'a', 'cooperative', 'system', 'consisting', 'of', 'a', 'single', 'source', 'relay', 'destination', 'and', 'eavesdropper', 'is', 'analyzed', 'the', 'thresholdselection', 'decodeandforward', 'relay', 'is', 'considered', 'where', 'the', 'relay', 'can', 'correctly', 'decode', 'and', 'forward', 'only', 'if', 'it', 'satisfies', 'a', 'threshold', 'signaltonoise', 'ratio', 'snr', 'both', 'destination', 'and', 'eavesdropper', 'take', 'advantage', 'of', 'the', 'direct', 'and', 'relayed', 'transmissions', 'through', 'maximal', 'ratio', 'diversity', 'combining', 'the', 'secrecy', 'outage', 'probability', 'sop', 'and', 'ergodic', 'secrecy', 'rate', 'are', 'derived', 'in', 'closedform', 'for', 'different', 'channel', 'state', 'information', 'csi', 'availability', 'it', 'was', 'observed', 'that', 'when', 'the', 'required', 'rate', 'is', 'low', 'having', 'csi', 'knowledge', 'is', 'more', 'advantageous', 'than', 'in', 'the', 'case', 'of', 'higher', 'rate', 'an', 'increase', 'in', 'the', 'required', 'threshold', 'snr', 'at', 'the', 'relay', 'can', 'increase', 'the', 'sop', 'if', 'the', 'relayed', 'link', 'snr', 'is', 'relatively', 'higher', 'than', 'the', 'direct', 'link', 'snr', 'it', 'was', 'also', 'shown', 'that', 'sop', 'can', 'not', 'be', 'improved', 'beyond', 'a', 'certain', 'value', 'when', 'keeping', 'either', 'dualhop', 'link', 'average', 'snr', 'fixed', 'and', 'increasing', 'the', 'other', 'link', 'snr', 'whereas', 'the', 'ergodic', 'secrecy', 'rate', 'can', 'be', 'increased', 'by', 'keeping', 'the', 'source', 'to', 'destination', 'average', 'snr', 'fixed']] | [-0.2717725145031831, 0.036595791177242064, -0.017800383373562777, 0.0326285373020385, -0.06524335828609765, -0.33139931669192657, 0.18959778986405582, 0.3955535507561373, -0.26146338607583725, -0.21884000470063517, 0.08772935090054358, -0.26646927700910183, -0.1034988764247724, 0.09594351236708462, -0.09884286849094288, 0.0011144364146249634, 0.037003863439229984, 0.13853665649757854, -0.02780869145478521, -0.3017134316638112, 0.2589985771370786, 0.22716375703258174, 0.3798336672570024, 0.048734509622944254, 0.11284234188763159, 0.005677543118862169, 0.018901095402293972, -0.04502116536987679, -0.08468368747313175, -0.026617714584405934, 0.3273313838669232, 0.20952149394633515, 0.20990698329572166, -0.34855662596012865, -0.2753583841451577, 0.1174404599344624, 0.23863617110199162, 0.04961469727668113, -0.020128545029770715, -0.2578714551018285, 0.174106028303504, -0.28124839966717574, -0.0067573414769555844, 0.10582046237375055, -0.10309695441009743, 0.06266172022425702, -0.3387776570833687, 0.05221979594905861, -0.021322252230186547, 0.035969093523121304, -0.04000864641740918, -0.1319001991827307, -0.021101374213716814, 0.20704375129891558, 0.06109098713545661, 0.03695915199483612, 0.09640150106911148, -0.14603831130346018, -0.032631021184580666, 0.32033096853377563, -0.013945898920064792, -0.24662652636212962, 0.15246547674394345, -0.16541975640026588, -0.0529696798324585, 0.28265203708782793, 0.17969417456271394, 0.03596645944884845, -0.1644216328787817, -0.008048772753848295, -0.0041574231162667275, 0.22044058511432793, 0.1248255567079676, 0.12861153723006802, 0.14035108860382545, 0.13588714967082655, 0.14298236903468414, 0.17145982546632046, -0.14832929909761464, -0.09086690431859877, -0.22024337590405985, -0.144234088709844, -0.2341274196454989, 0.06221361863468441, -0.16398938735996904, 0.030045530768942886, 0.27698999139214203, 0.09319988440888535, 0.0972495977660375, 0.13119805640674062, 0.4172119529917836, 0.18064719173658106, -0.02427629368246666, 0.15170078554855926, 0.27438896221042214, 0.1312529304543776, 0.06422115676903299, -0.19618302576277138, 0.19000012423577053, -0.01180745679885149] |
1,803.00637 | Sharp Entropy Bounds for Self-Shrinkers in Mean Curvature Flow | Let $M\subset {\mathbf R}^{m+1}$ be a smooth, closed, codimension-one
self-shrinker (for mean curvature flow) with nontrivial $k^{\rm th}$ homology.
We show that the entropy of $M$ is greater than or equal to the entropy of a
round $k$-sphere, and that if equality holds, then $M$ is a round $k$-sphere in
${\mathbf R}^{k+1}$.
| math.DG | let msubset mathbf rm1 be a smooth closed codimensionone selfshrinker for mean curvature flow with nontrivial krm th homology we show that the entropy of m is greater than or equal to the entropy of a round ksphere and that if equality holds then m is a round ksphere in mathbf rk1 | [['let', 'msubset', 'mathbf', 'rm1', 'be', 'a', 'smooth', 'closed', 'codimensionone', 'selfshrinker', 'for', 'mean', 'curvature', 'flow', 'with', 'nontrivial', 'krm', 'th', 'homology', 'we', 'show', 'that', 'the', 'entropy', 'of', 'm', 'is', 'greater', 'than', 'or', 'equal', 'to', 'the', 'entropy', 'of', 'a', 'round', 'ksphere', 'and', 'that', 'if', 'equality', 'holds', 'then', 'm', 'is', 'a', 'round', 'ksphere', 'in', 'mathbf', 'rk1']] | [-0.2370892887791762, 0.15751220083508927, -0.091777360245872, 0.010980770856034584, -0.02357441747489457, -0.2566282443720131, -0.05020561924454971, 0.33019578134497773, -0.26879929923094237, -0.15079193943753266, 0.0773105857459506, -0.34707893090895736, -0.08892498031491414, 0.15997882855859083, -0.16107313650158736, -0.03823740811696133, 0.03461376384187203, 0.19042788697361873, -0.0827661208772602, -0.28013751907453227, 0.3217743900246345, -0.1149143582353225, 0.16904806564203823, 0.07657871259904753, 0.12301310137487374, -0.03461049746077221, 0.11279026288628721, 0.10599564414811678, -0.2581570393760138, 0.0850122659344029, 0.20755411731974724, 0.09269519963373359, 0.21346486424982475, -0.34794540681804603, -0.16007578163407743, 0.2687762917485088, 0.1552241194026115, -0.10788656764018995, 0.014811350256562807, -0.2120957927276882, 0.22496741861015415, -0.10056580352382018, -0.14387862445213473, -0.009578363934101967, 0.15069375849830416, -0.03903689178136679, -0.2870026092591266, 0.07693755598022388, 0.13395127990784553, 0.07200762351903205, -0.03473541513085365, -0.08742617061719872, -0.15770401390126118, 0.05286344829857206, -0.006687270128168166, 0.19460166718524236, 0.07313496120668088, -0.006804508837656333, -0.03682493256369176, 0.3614582352053661, -0.13733471487340956, -0.2665227585328886, 0.032571307150647044, -0.23340609368796533, -0.11773673969750795, 0.13061021513735446, 0.097803404303984, 0.1840982769186107, 0.0049071349561787565, 0.20527906006520005, -0.10590911002901311, 0.1286630632284169, 0.09254610076403388, -0.06503229088579807, 0.13483505312783214, 0.04840272699052898, 0.1867618331184181, 0.12201885504495855, -0.016732863490827955, -0.02358643814491538, -0.3730031516976081, -0.2780419468002107, -0.2078800191028187, 0.2611176971919261, -0.14984543141522758, -0.14131106498937768, 0.2744363722248146, -0.046570593097175546, 0.2091568472275797, 0.17005159594834998, 0.2608237410537325, 0.058859014203055546, 0.014890756914750315, 0.20635738750346577, 0.10420130510241367, 0.17655938466151172, -0.03845050214574887, -0.11906270917881137, -0.01863131240511743, 0.18155654313830802] |
1,803.00638 | Fast and accurate computation of orthogonal moments for texture analysis | In this work we describe a fast and stable algorithm for the computation of
the orthogonal moments of an image. Indeed, orthogonal moments are
characterized by a high discriminative power, but some of their possible
formulations are characterized by a large computational complexity, which
limits their real-time application. This paper describes in detail an approach
based on recurrence relations, and proposes an optimized Matlab implementation
of the corresponding computational procedure, aiming to solve the above
limitations and put at the community's disposal an efficient and easy to use
software. In our experiments we evaluate the effectiveness of the recurrence
formulation, as well as its performance for the reconstruction task, in
comparison to the closed form representation, often used in the literature. The
results show a sensible reduction in the computational complexity, together
with a greater accuracy in reconstruction. In order to assess and compare the
accuracy of the computed moments in texture analysis, we perform classification
experiments on six well-known databases of texture images. Again, the
recurrence formulation performs better in classification than the closed form
representation. More importantly, if computed from the GLCM of the image using
the proposed stable procedure, the orthogonal moments outperform in some
situations some of the most diffused state-of-the-art descriptors for texture
classification.
| math.NA cs.CV | in this work we describe a fast and stable algorithm for the computation of the orthogonal moments of an image indeed orthogonal moments are characterized by a high discriminative power but some of their possible formulations are characterized by a large computational complexity which limits their realtime application this paper describes in detail an approach based on recurrence relations and proposes an optimized matlab implementation of the corresponding computational procedure aiming to solve the above limitations and put at the communitys disposal an efficient and easy to use software in our experiments we evaluate the effectiveness of the recurrence formulation as well as its performance for the reconstruction task in comparison to the closed form representation often used in the literature the results show a sensible reduction in the computational complexity together with a greater accuracy in reconstruction in order to assess and compare the accuracy of the computed moments in texture analysis we perform classification experiments on six wellknown databases of texture images again the recurrence formulation performs better in classification than the closed form representation more importantly if computed from the glcm of the image using the proposed stable procedure the orthogonal moments outperform in some situations some of the most diffused stateoftheart descriptors for texture classification | [['in', 'this', 'work', 'we', 'describe', 'a', 'fast', 'and', 'stable', 'algorithm', 'for', 'the', 'computation', 'of', 'the', 'orthogonal', 'moments', 'of', 'an', 'image', 'indeed', 'orthogonal', 'moments', 'are', 'characterized', 'by', 'a', 'high', 'discriminative', 'power', 'but', 'some', 'of', 'their', 'possible', 'formulations', 'are', 'characterized', 'by', 'a', 'large', 'computational', 'complexity', 'which', 'limits', 'their', 'realtime', 'application', 'this', 'paper', 'describes', 'in', 'detail', 'an', 'approach', 'based', 'on', 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'wellknown', 'databases', 'of', 'texture', 'images', 'again', 'the', 'recurrence', 'formulation', 'performs', 'better', 'in', 'classification', 'than', 'the', 'closed', 'form', 'representation', 'more', 'importantly', 'if', 'computed', 'from', 'the', 'glcm', 'of', 'the', 'image', 'using', 'the', 'proposed', 'stable', 'procedure', 'the', 'orthogonal', 'moments', 'outperform', 'in', 'some', 'situations', 'some', 'of', 'the', 'most', 'diffused', 'stateoftheart', 'descriptors', 'for', 'texture', 'classification']] | [-0.06609081596851295, -0.014344735371013525, -0.07520091272534081, 0.0825449916095201, -0.057659842684401566, -0.10962170708710639, 0.03337793402500789, 0.3996448437527321, -0.23831931068773635, -0.31496382047952504, 0.12599416137962607, -0.25142213766592325, -0.16675152582824943, 0.22587139300253403, -0.09248721295269763, 0.0789865222611937, 0.08614374217064828, 0.07029811524157746, -0.13932386730768626, -0.28320242421763936, 0.24858795948945983, 0.07282323366628167, 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1,803.00639 | Analysis of the Common Emitter Amplifier Taking into Account Transistor
Non-Linearity | The operation of a typical common emitter amplifier, including negative
feedback, is studied taking into account the non-linearity characteristic of
real-world transistors. This has been accomplished by employing a recently
proposed Early modeling approach, which allowed the analytical equations to be
obtained describing the current and voltage behavior in the adopted common
emitter circuit. Average and dispersion (coefficient of variation) of the
current and voltage gains can then be calculated and used to characterize the
common emitter amplification while reflecting the transistor non-linearity.
Several interesting results were obtained, including the fact that the negative
feedback provided by the emitter resistance is not capable of completely
eliminating effects of parameters differences exhibited by transistors.
Importantly, transistors with larger Early voltage $V_a$ magnitudes tended to
provide significantly enhanced linearity even when substantial negative
feedback is used. These results motivates customized design, implementation and
application approaches taking into account the parameters of the available
devices.
| physics.ins-det | the operation of a typical common emitter amplifier including negative feedback is studied taking into account the nonlinearity characteristic of realworld transistors this has been accomplished by employing a recently proposed early modeling approach which allowed the analytical equations to be obtained describing the current and voltage behavior in the adopted common emitter circuit average and dispersion coefficient of variation of the current and voltage gains can then be calculated and used to characterize the common emitter amplification while reflecting the transistor nonlinearity several interesting results were obtained including the fact that the negative feedback provided by the emitter resistance is not capable of completely eliminating effects of parameters differences exhibited by transistors importantly transistors with larger early voltage v_a magnitudes tended to provide significantly enhanced linearity even when substantial negative feedback is used these results motivates customized design implementation and application approaches taking into account the parameters of the available devices | [['the', 'operation', 'of', 'a', 'typical', 'common', 'emitter', 'amplifier', 'including', 'negative', 'feedback', 'is', 'studied', 'taking', 'into', 'account', 'the', 'nonlinearity', 'characteristic', 'of', 'realworld', 'transistors', 'this', 'has', 'been', 'accomplished', 'by', 'employing', 'a', 'recently', 'proposed', 'early', 'modeling', 'approach', 'which', 'allowed', 'the', 'analytical', 'equations', 'to', 'be', 'obtained', 'describing', 'the', 'current', 'and', 'voltage', 'behavior', 'in', 'the', 'adopted', 'common', 'emitter', 'circuit', 'average', 'and', 'dispersion', 'coefficient', 'of', 'variation', 'of', 'the', 'current', 'and', 'voltage', 'gains', 'can', 'then', 'be', 'calculated', 'and', 'used', 'to', 'characterize', 'the', 'common', 'emitter', 'amplification', 'while', 'reflecting', 'the', 'transistor', 'nonlinearity', 'several', 'interesting', 'results', 'were', 'obtained', 'including', 'the', 'fact', 'that', 'the', 'negative', 'feedback', 'provided', 'by', 'the', 'emitter', 'resistance', 'is', 'not', 'capable', 'of', 'completely', 'eliminating', 'effects', 'of', 'parameters', 'differences', 'exhibited', 'by', 'transistors', 'importantly', 'transistors', 'with', 'larger', 'early', 'voltage', 'v_a', 'magnitudes', 'tended', 'to', 'provide', 'significantly', 'enhanced', 'linearity', 'even', 'when', 'substantial', 'negative', 'feedback', 'is', 'used', 'these', 'results', 'motivates', 'customized', 'design', 'implementation', 'and', 'application', 'approaches', 'taking', 'into', 'account', 'the', 'parameters', 'of', 'the', 'available', 'devices']] | [-0.12123586535668246, 0.07417063833226596, -0.04608637020359502, 0.024298577791533285, -0.07854809978437659, -0.23725756790832078, 0.05151979063980674, 0.3885861437547168, -0.2178605255444142, -0.33723340567820215, 0.07342481664856773, -0.237752190668528, -0.14086173985177944, 0.2797342232293694, -0.042937033540128094, 0.03928093802747562, 0.03139961457897076, -0.03075012480085685, -0.026865693299393905, -0.2313388363522551, 0.25539165746886283, 0.0805114237223997, 0.3251536353613789, 0.05764642508859795, 0.13056267628761767, -0.04032231499073341, -0.014176663287032983, 0.08850322333110901, -0.09141027668838912, 0.07676898270820905, 0.2411478060515181, 0.04929871548206153, 0.28475012253712567, -0.4561499771784599, -0.251662161820078, 0.05250764367136933, 0.14708503494713163, 0.10099367665718187, -0.07187784257908597, -0.28527101270217253, 0.09018584411272682, -0.15457856880522358, -0.0872513067150928, -0.03253697262200723, 0.009511073527392, 0.030837707822432715, -0.26411503027989774, 0.027058378793299198, 0.05996954132569954, 0.011500470804955847, -0.041501197664968605, -0.15909429753848695, -0.02374628778718608, 0.14472471734227024, 0.013723079524137765, -0.02592737147412998, 0.19395678382562964, -0.13098357339683725, -0.09716449762804825, 0.33272942783016907, -0.05161461576292487, -0.15533192373971505, 0.13098214687871454, -0.14882391901368178, -0.016898375264932645, 0.14460891445081583, 0.14975504511293317, 0.048450371314844996, -0.1651332544881466, 0.037588908546527626, 0.08143111036349039, 0.17123896534720093, 0.06915529445885975, 0.058597194686483, 0.18290851841294697, 0.17294355190058827, -0.012473957787733525, 0.15249259256616873, -0.06047829879619377, -0.05318386743065754, -0.24033028072996163, -0.09043223223661219, -0.13489806210916294, 0.08328777246683067, -0.09462408474782454, -0.12353057870687305, 0.42362546535993095, 0.17460942314018643, 0.15484298555805398, 0.004328426121470616, 0.3531002006799865, 0.2013868188522266, 0.13852442010982868, 0.018583260763032166, 0.2702909856115615, 0.1410367793256515, 0.09972693262725922, -0.26299951316200587, 0.13174038982833736, -0.041878267929668686] |
1,803.0064 | Power-law Interpolation of AC-DC Differences | In this work we present a general method, commonly applied to the numerical
analysis of stochastic models, to interpolate AC-DC differences (usually
denoted by the greek letter $\delta$) between calibration points in thermal
transfer standards. This method assigns a power-law behaviour to AC-DC
differences, solely under the assumption that $\delta$ must be some
smooth-varying function of voltage and frequency. We argue it may be
straightfowardly applied to all working ranges of the standards, with no
distinction.
| physics.ins-det | in this work we present a general method commonly applied to the numerical analysis of stochastic models to interpolate acdc differences usually denoted by the greek letter delta between calibration points in thermal transfer standards this method assigns a powerlaw behaviour to acdc differences solely under the assumption that delta must be some smoothvarying function of voltage and frequency we argue it may be straightfowardly applied to all working ranges of the standards with no distinction | [['in', 'this', 'work', 'we', 'present', 'a', 'general', 'method', 'commonly', 'applied', 'to', 'the', 'numerical', 'analysis', 'of', 'stochastic', 'models', 'to', 'interpolate', 'acdc', 'differences', 'usually', 'denoted', 'by', 'the', 'greek', 'letter', 'delta', 'between', 'calibration', 'points', 'in', 'thermal', 'transfer', 'standards', 'this', 'method', 'assigns', 'a', 'powerlaw', 'behaviour', 'to', 'acdc', 'differences', 'solely', 'under', 'the', 'assumption', 'that', 'delta', 'must', 'be', 'some', 'smoothvarying', 'function', 'of', 'voltage', 'and', 'frequency', 'we', 'argue', 'it', 'may', 'be', 'straightfowardly', 'applied', 'to', 'all', 'working', 'ranges', 'of', 'the', 'standards', 'with', 'no', 'distinction']] | [-0.10559414878072268, 0.08957614140534723, -0.11921786423772573, 0.06345726468763943, -0.0774192062640764, -0.13377550564001542, 0.0874537453275627, 0.3935739560103094, -0.28193645227725644, -0.3448253648003211, 0.07147998500904823, -0.2557151618608701, -0.15778812575405715, 0.22078818077775272, -0.1062951579790663, 0.017580397477423824, 0.026594720294736827, -0.029843418028306316, -0.07376044116775833, -0.1645060358883662, 0.2882841773066871, 0.028398620307672064, 0.3185643598663847, 0.02359473228893507, 0.05302502166769291, -0.06262602455712654, -0.03716340740337162, 0.05210742447525263, -0.12197776097614346, 0.08055723965721759, 0.2790599834145699, 0.083834761715922, 0.27437390207086465, -0.38169820380170605, -0.21550482379373265, 0.16138030814535514, 0.09896242277770669, 0.06604376428357854, 0.006867322781299417, -0.19248831464525162, 0.08841443524972813, -0.18577485806245758, -0.09111100365407765, -0.049086857117701485, -0.002011540993997777, 0.04862011347368762, -0.2892728184752569, 0.07338791592455646, 0.0315110385375659, 0.07738719641457538, -0.038259291820026735, -0.10198571828565232, 0.02698860883813452, 0.12398246463704414, 0.05963288033632813, 0.03833170275745058, 0.10806865666716083, -0.06527402704405422, -0.06975955344937942, 0.3648574654440823, -0.08662044085763596, -0.2426299867471932, 0.169767326348134, -0.11554744338767754, -0.13016727406883966, 0.03626488816194438, 0.12824006110580788, 0.0994751696927926, -0.19913165145899747, 0.03729281981705335, 0.015114084293600172, 0.19846999684562655, 0.08832217590581323, -0.022505940747529117, 0.1941551096435334, 0.13243223774416774, 0.01473803722576515, 0.10846371271307706, -0.06902732895813077, -0.09276782984946023, -0.32682409677402796, -0.09869256553970077, -0.17065871904786625, 0.036046153862608246, -0.05136740313999424, -0.17579746087761344, 0.39796728122274616, 0.21358265785179478, 0.18120182590005365, 0.018296559204778483, 0.30840280878584125, 0.16325194235714907, 0.06558918981888406, 0.06960899757875784, 0.23389187576823453, 0.07991129798638458, 0.13092389492620085, -0.2202075262100914, 0.06368423199809685, 0.018178488077545487] |
1,803.00641 | Re-examination of Bregman functions and new properties of their
divergences | The Bregman divergence (Bregman distance, Bregman measure of distance) is a
certain useful substitute for a distance, obtained from a well-chosen function
(the "Bregman function"). Bregman functions and divergences have been
extensively investigated during the last decades and have found applications in
optimization, operations research, information theory, nonlinear analysis,
machine learning and more. This paper re-examines various aspects related to
the theory of Bregman functions and divergences. In particular, it presents
many sufficient conditions which allow the construction of Bregman functions in
a general setting and introduces new Bregman functions (such as a negative
iterated log entropy). Moreover, it sheds new light on several known Bregman
functions such as quadratic entropies, the negative Havrda-Charv\'at-Tsallis
entropy, and the negative Boltzmann-Gibbs-Shannon entropy, and it shows that
the negative Burg entropy, which is not a Bregman function according to the
classical theory but nevertheless is known to have "Bregmanian properties",
can, by our re-examination of the theory, be considered as a Bregman function.
Our analysis yields several by-products of independent interest such as the
introduction of the concept of relative uniform convexity (a certain
generalization of uniform convexity), new properties of uniformly and strongly
convex functions, and results in Banach space theory.
| math.OC cs.IT math.IT physics.data-an stat.ML | the bregman divergence bregman distance bregman measure of distance is a certain useful substitute for a distance obtained from a wellchosen function the bregman function bregman functions and divergences have been extensively investigated during the last decades and have found applications in optimization operations research information theory nonlinear analysis machine learning and more this paper reexamines various aspects related to the theory of bregman functions and divergences in particular it presents many sufficient conditions which allow the construction of bregman functions in a general setting and introduces new bregman functions such as a negative iterated log entropy moreover it sheds new light on several known bregman functions such as quadratic entropies the negative havrdacharvattsallis entropy and the negative boltzmanngibbsshannon entropy and it shows that the negative burg entropy which is not a bregman function according to the classical theory but nevertheless is known to have bregmanian properties can by our reexamination of the theory be considered as a bregman function our analysis yields several byproducts of independent interest such as the introduction of the concept of relative uniform convexity a certain generalization of uniform convexity new properties of uniformly and strongly convex functions and results in banach space theory | [['the', 'bregman', 'divergence', 'bregman', 'distance', 'bregman', 'measure', 'of', 'distance', 'is', 'a', 'certain', 'useful', 'substitute', 'for', 'a', 'distance', 'obtained', 'from', 'a', 'wellchosen', 'function', 'the', 'bregman', 'function', 'bregman', 'functions', 'and', 'divergences', 'have', 'been', 'extensively', 'investigated', 'during', 'the', 'last', 'decades', 'and', 'have', 'found', 'applications', 'in', 'optimization', 'operations', 'research', 'information', 'theory', 'nonlinear', 'analysis', 'machine', 'learning', 'and', 'more', 'this', 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1,803.00642 | Efficient high order algorithms for fractional integrals and fractional
differential equations | We propose an efficient algorithm for the approximation of fractional
integrals by using Runge--Kutta based convolution quadrature. The algorithm is
based on a novel integral representation of the convolution weights and a
special quadrature for it. The resulting method is easy to implement, allows
for high order, relies on rigorous error estimates and its performance in terms
of memory and computational cost is among the best to date. Several numerical
results illustrate the method and we describe how to apply the new algorithm to
solve fractional diffusion equations. For a class of fractional diffusion
equations we give the error analysis of the full space-time discretization
obtained by coupling the FEM method in space with Runge--Kutta based
convolution quadrature in time.
| math.NA | we propose an efficient algorithm for the approximation of fractional integrals by using rungekutta based convolution quadrature the algorithm is based on a novel integral representation of the convolution weights and a special quadrature for it the resulting method is easy to implement allows for high order relies on rigorous error estimates and its performance in terms of memory and computational cost is among the best to date several numerical results illustrate the method and we describe how to apply the new algorithm to solve fractional diffusion equations for a class of fractional diffusion equations we give the error analysis of the full spacetime discretization obtained by coupling the fem method in space with rungekutta based convolution quadrature in time | [['we', 'propose', 'an', 'efficient', 'algorithm', 'for', 'the', 'approximation', 'of', 'fractional', 'integrals', 'by', 'using', 'rungekutta', 'based', 'convolution', 'quadrature', 'the', 'algorithm', 'is', 'based', 'on', 'a', 'novel', 'integral', 'representation', 'of', 'the', 'convolution', 'weights', 'and', 'a', 'special', 'quadrature', 'for', 'it', 'the', 'resulting', 'method', 'is', 'easy', 'to', 'implement', 'allows', 'for', 'high', 'order', 'relies', 'on', 'rigorous', 'error', 'estimates', 'and', 'its', 'performance', 'in', 'terms', 'of', 'memory', 'and', 'computational', 'cost', 'is', 'among', 'the', 'best', 'to', 'date', 'several', 'numerical', 'results', 'illustrate', 'the', 'method', 'and', 'we', 'describe', 'how', 'to', 'apply', 'the', 'new', 'algorithm', 'to', 'solve', 'fractional', 'diffusion', 'equations', 'for', 'a', 'class', 'of', 'fractional', 'diffusion', 'equations', 'we', 'give', 'the', 'error', 'analysis', 'of', 'the', 'full', 'spacetime', 'discretization', 'obtained', 'by', 'coupling', 'the', 'fem', 'method', 'in', 'space', 'with', 'rungekutta', 'based', 'convolution', 'quadrature', 'in', 'time']] | [-0.0689941671754544, -0.021708498876614614, -0.10528210617291431, 0.056240093408268875, -0.1247676238262405, -0.10858072862029075, 0.05849993887629049, 0.4099619604026278, -0.26972367693670096, -0.2909808136872016, 0.14003781714224411, -0.2068071774402294, -0.1842594919532227, 0.25201926364873845, -0.09016874771720419, 0.12634678145356398, 0.07689860449560608, 0.0017047835125898322, -0.11249660536268494, -0.2620881991072868, 0.306559719646854, 0.03596757846729209, 0.261952112345413, 0.008674970436065148, 0.18744736347944127, -0.03192637835551674, -0.08561386343402168, -0.03397905565434485, -0.11898776196176186, 0.17449638676674414, 0.19618139388621786, 0.0596400179550983, 0.3206379033004244, -0.42392210826898613, -0.1646757934591733, 0.051289183039140575, 0.15060355948517098, 0.11651678543227414, -0.024328684211165335, -0.2786470840743277, 0.060492003709077834, -0.16362688855733723, -0.09449098146869801, -0.19441474504419604, -0.018168070741618674, 0.06739374594762922, -0.32694604344045125, 0.09912436363908152, 0.01896959215713044, 0.0037772543185080093, -0.04417049343610415, -0.1330069750547409, 0.08167841704562306, 0.07564008495149513, -0.009420095215318725, -0.009620749108338107, 0.009439461728713164, -0.06818031446309761, -0.15142635536030866, 0.3722089020845791, -0.09529470662625196, -0.31146911158963725, 0.10611880239836562, -0.09145663921566059, -0.10784673502203077, 0.16471667327083803, 0.20242677013544988, 0.16698544758061568, -0.14721164040189857, 0.08210136355871024, 0.032590642552046724, 0.15720773932989687, 0.019446281066241983, 0.007896202876387785, 0.030087474378524347, 0.21096346024229812, 0.12583743838670974, 0.1580984514769322, -0.11662980776745827, -0.1297496830423673, -0.3209055295214057, -0.20638522874020662, -0.2180492568120826, -0.02456995541288052, -0.14055058203278653, -0.18933568218102056, 0.3888840279813545, 0.1982929186410426, 0.11912295507499948, 0.11576374601572752, 0.34097538083636514, 0.20915927284707625, 0.047005833330816434, 0.10236069951982547, 0.1675835381805276, 0.163183226773981, 0.10024658703187014, -0.25187318948640797, 0.038657008225951965, 0.2013490005248362] |
1,803.00643 | How strong are correlations in strongly recurrent neuronal networks? | Cross-correlations in the activity in neural networks are commonly used to
characterize their dynamical states and their anatomical and functional
organizations. Yet, how these latter network features affect the spatiotemporal
structure of the correlations in recurrent networks is not fully understood.
Here, we develop a general theory for the emergence of correlated neuronal
activity from the dynamics in strongly recurrent networks consisting of several
populations of binary neurons. We apply this theory to the case in which the
connectivity depends on the anatomical or functional distance between the
neurons. We establish the architectural conditions under which the system
settles into a dynamical state where correlations are strong, highly robust and
spatially modulated. We show that such strong correlations arise if the network
exhibits an effective feedforward structure. We establish how this feedforward
structure determines the way correlations scale with the network size and the
degree of the connectivity. In networks lacking an effective feedforward
structure correlations are extremely small and only weakly depend on the number
of connections per neuron. Our work shows how strong correlations can be
consistent with highly irregular activity in recurrent networks, two key
features of neuronal dynamics in the central nervous system.
| q-bio.NC cond-mat.dis-nn nlin.CD physics.bio-ph | crosscorrelations in the activity in neural networks are commonly used to characterize their dynamical states and their anatomical and functional organizations yet how these latter network features affect the spatiotemporal structure of the correlations in recurrent networks is not fully understood here we develop a general theory for the emergence of correlated neuronal activity from the dynamics in strongly recurrent networks consisting of several populations of binary neurons we apply this theory to the case in which the connectivity depends on the anatomical or functional distance between the neurons we establish the architectural conditions under which the system settles into a dynamical state where correlations are strong highly robust and spatially modulated we show that such strong correlations arise if the network exhibits an effective feedforward structure we establish how this feedforward structure determines the way correlations scale with the network size and the degree of the connectivity in networks lacking an effective feedforward structure correlations are extremely small and only weakly depend on the number of connections per neuron our work shows how strong correlations can be consistent with highly irregular activity in recurrent networks two key features of neuronal dynamics in the central nervous system | [['crosscorrelations', 'in', 'the', 'activity', 'in', 'neural', 'networks', 'are', 'commonly', 'used', 'to', 'characterize', 'their', 'dynamical', 'states', 'and', 'their', 'anatomical', 'and', 'functional', 'organizations', 'yet', 'how', 'these', 'latter', 'network', 'features', 'affect', 'the', 'spatiotemporal', 'structure', 'of', 'the', 'correlations', 'in', 'recurrent', 'networks', 'is', 'not', 'fully', 'understood', 'here', 'we', 'develop', 'a', 'general', 'theory', 'for', 'the', 'emergence', 'of', 'correlated', 'neuronal', 'activity', 'from', 'the', 'dynamics', 'in', 'strongly', 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1,803.00644 | Generalized dunce hats are not splittable | A \emph{generalized dunce hat} is a 2-dimensional polyhedron created by
attaching the boundary of a disk $\Delta$ to a circle $J$ via a map $f:\partial
\Delta \to J$ with the property that there is a point $v \in J$ such that
$f^{-1}(\{v\})$ is a finite set containing at least 3 points and $f$ maps each
component of $\partial \Delta - f^{-1}(\{v\})$ homeomorphically onto $J -
\{v\}.$ \textbf{Theorem:} No generalized dunce hat is the union of two proper
subpolyhedra that each have finite first homology groups. This result
undermines a strategy for proving that the interior of the Mazur compact
contractible 4-manifold M is \emph{splittable in the sense of Gabai} (i.e.,
$\intr(M) = U \cup V$ where $U,$ $V$ and $U \cap V$ are each homeomorphic to
Euclidean 4-space).
| math.GT | a emphgeneralized dunce hat is a 2dimensional polyhedron created by attaching the boundary of a disk delta to a circle j via a map fpartial delta to j with the property that there is a point v in j such that f1v is a finite set containing at least 3 points and f maps each component of partial delta f1v homeomorphically onto j v textbftheorem no generalized dunce hat is the union of two proper subpolyhedra that each have finite first homology groups this result undermines a strategy for proving that the interior of the mazur compact contractible 4manifold m is emphsplittable in the sense of gabai ie intrm u cup v where u v and u cap v are each homeomorphic to euclidean 4space | [['a', 'emphgeneralized', 'dunce', 'hat', 'is', 'a', '2dimensional', 'polyhedron', 'created', 'by', 'attaching', 'the', 'boundary', 'of', 'a', 'disk', 'delta', 'to', 'a', 'circle', 'j', 'via', 'a', 'map', 'fpartial', 'delta', 'to', 'j', 'with', 'the', 'property', 'that', 'there', 'is', 'a', 'point', 'v', 'in', 'j', 'such', 'that', 'f1v', 'is', 'a', 'finite', 'set', 'containing', 'at', 'least', '3', 'points', 'and', 'f', 'maps', 'each', 'component', 'of', 'partial', 'delta', 'f1v', 'homeomorphically', 'onto', 'j', 'v', 'textbftheorem', 'no', 'generalized', 'dunce', 'hat', 'is', 'the', 'union', 'of', 'two', 'proper', 'subpolyhedra', 'that', 'each', 'have', 'finite', 'first', 'homology', 'groups', 'this', 'result', 'undermines', 'a', 'strategy', 'for', 'proving', 'that', 'the', 'interior', 'of', 'the', 'mazur', 'compact', 'contractible', '4manifold', 'm', 'is', 'emphsplittable', 'in', 'the', 'sense', 'of', 'gabai', 'ie', 'intrm', 'u', 'cup', 'v', 'where', 'u', 'v', 'and', 'u', 'cap', 'v', 'are', 'each', 'homeomorphic', 'to', 'euclidean', '4space']] | [-0.19329306605692592, 0.08525247580274159, -0.05770598565821626, -0.04730608315402342, -0.08557704489325144, -0.18057975760330597, 0.05409419158053014, 0.34160410670841473, -0.31766641207580126, -0.1758282144268554, 0.07244785638683807, -0.3510838608152323, -0.08326458159999381, 0.1248170368790236, -0.12540678851467918, -0.07130351292359974, 0.05861299810555553, 0.06133644209964381, -0.05882586502364927, -0.22042828920436272, 0.33468801556380406, -0.13940407229388402, 0.11822487015160732, 0.03158890668513073, 0.13718451388300426, -0.004801117563469996, 0.0157215180506389, 0.06078766975101204, -0.19210008390725689, 0.07694263427683543, 0.23607038258905372, 0.08131093433457276, 0.2680508611806398, -0.3019783034575202, -0.15368033059301875, 0.19044875801585975, 0.08537774323485792, -0.07588808173914591, 0.020796348352075344, -0.2626846317472237, 0.13636162448223801, -0.11188264326905951, -0.15239671940282512, 0.017320708912466804, 0.18508968463603168, 0.005438828360169164, -0.2995623612941633, -0.004990835967023046, 0.12821698121842928, 0.05881623527215373, 0.01015930730594142, -0.15361253825962665, -0.15593626867837063, 0.08856016954204309, -0.07281946702653752, 0.23833835843740211, 0.04855640011749441, -0.04375317985484857, -0.05898450551021303, 0.3891102667417257, -0.10105083521921188, -0.23177725500276974, 0.12264551187775308, -0.1666499156309592, -0.13289432730450626, 0.12727633065867028, 0.020814920403814365, 0.14296677466031285, -0.08029992426764371, 0.2339700640380127, -0.12731342341266422, 0.08916087422426978, 0.12430356365192922, -0.0733704814441397, 0.14027284229016532, 0.07213354789306439, 0.16435287416829997, 0.0747538945645154, -0.04922661223524976, 0.028588942186381187, -0.3625656650176332, -0.16420843463481194, -0.1903404878572591, 0.14197048838550766, -0.09051515711302448, -0.1711901195606427, 0.3275706635012607, -0.0030555243063117225, 0.24415605797642662, 0.01187011825987288, 0.20792518297751103, 0.060309337949752996, 0.02360757010718507, 0.16617579144170327, 0.09012023684655075, 0.1397464717531787, -0.009583752733775444, -0.1499338279996488, -0.050347935836461764, 0.1981618042787417] |
1,803.00645 | Distribution of Magnetic Dipole Strength -Binning | In previous works we examined the systematics of magnetic dipole transitions
in a single j shell. We here extend the study to large space calculations. We
consider Ti and Cr isotopes.. In this work we focus on the B(M1) strength as a
function of excitation of energy. The initial state is the lowest J= state. T=1
state in a specified nucleus. The final states are J=0 T=2 , all in one plot,
and J=2 T=2 in another. The initial figures have points all over the map
although there is a suggestion of an exponential trend. To reduce clutter we
perform binning operations in which the summed strength in a given energy
interval is represented by a single point. The new binning curves show more
clearly the exponential fall of B(M1)'s with energy.
| nucl-th nucl-ex | in previous works we examined the systematics of magnetic dipole transitions in a single j shell we here extend the study to large space calculations we consider ti and cr isotopes in this work we focus on the bm1 strength as a function of excitation of energy the initial state is the lowest j state t1 state in a specified nucleus the final states are j0 t2 all in one plot and j2 t2 in another the initial figures have points all over the map although there is a suggestion of an exponential trend to reduce clutter we perform binning operations in which the summed strength in a given energy interval is represented by a single point the new binning curves show more clearly the exponential fall of bm1s with energy | [['in', 'previous', 'works', 'we', 'examined', 'the', 'systematics', 'of', 'magnetic', 'dipole', 'transitions', 'in', 'a', 'single', 'j', 'shell', 'we', 'here', 'extend', 'the', 'study', 'to', 'large', 'space', 'calculations', 'we', 'consider', 'ti', 'and', 'cr', 'isotopes', 'in', 'this', 'work', 'we', 'focus', 'on', 'the', 'bm1', 'strength', 'as', 'a', 'function', 'of', 'excitation', 'of', 'energy', 'the', 'initial', 'state', 'is', 'the', 'lowest', 'j', 'state', 't1', 'state', 'in', 'a', 'specified', 'nucleus', 'the', 'final', 'states', 'are', 'j0', 't2', 'all', 'in', 'one', 'plot', 'and', 'j2', 't2', 'in', 'another', 'the', 'initial', 'figures', 'have', 'points', 'all', 'over', 'the', 'map', 'although', 'there', 'is', 'a', 'suggestion', 'of', 'an', 'exponential', 'trend', 'to', 'reduce', 'clutter', 'we', 'perform', 'binning', 'operations', 'in', 'which', 'the', 'summed', 'strength', 'in', 'a', 'given', 'energy', 'interval', 'is', 'represented', 'by', 'a', 'single', 'point', 'the', 'new', 'binning', 'curves', 'show', 'more', 'clearly', 'the', 'exponential', 'fall', 'of', 'bm1s', 'with', 'energy']] | [-0.13757113830741638, 0.1404473515488252, -0.06317861690902365, 0.07291460243017914, 0.024068055939502443, -0.1115837164151554, 0.08906464546632309, 0.38617795172792213, -0.21756798805167468, -0.2797083370602475, 0.017694885803100007, -0.28301423409810433, -0.05726493208740766, 0.14826370306277217, -0.01739628605114726, -0.006866049050138547, 0.04304892278383844, 0.048769922790905605, -0.10486564387997183, -0.2188042446738109, 0.3230357019588924, 0.03846724283021803, 0.2413733879843046, 0.023338727441296215, 0.03292681877501309, 0.013386880765812329, -0.0014007063833280252, -0.0075330047189849075, -0.14360733285832863, 0.06072858000809971, 0.23122759993689565, 0.08200208879649067, 0.23513135001636468, -0.38073178617140424, -0.21151923381078702, 0.12048652320383833, 0.1321388207698384, 0.13858328443289233, 0.0002043609009258664, -0.24496481341238205, 0.036789025797938496, -0.16654900557433183, -0.11690886694436463, -0.06195064428477333, 0.055696429695504215, 0.044517716290787435, -0.2518458588048816, 0.06900986899765064, 0.07493214211605775, 0.06986920525663523, -0.10114919594489039, -0.16031101260047692, -0.03320272838553557, 0.10398726903546889, 0.05074063448611504, 0.09392278073176455, 0.11479286198289348, -0.10665733865641344, -0.09449462372487268, 0.33677573070789757, -0.07671248006562774, -0.17184751694305586, 0.125380718951615, -0.18278570596057062, -0.15423474425467879, 0.15098575744777917, 0.1167325917738848, 0.12338669005638132, -0.0971777747456844, 0.10100826760306238, -0.026155572714140783, 0.18777047098869493, 0.044988412517481126, 0.009035594786445682, 0.15614634153361504, 0.14300523089388242, 0.06160984345747588, 0.14176712938888858, -0.14956151944979165, -0.07942348245817882, -0.31202940778950083, -0.15616490272088693, -0.2105739559351395, 0.05241406055597159, -0.03726476624299092, -0.13302561516443698, 0.409985458274157, 0.08443249478004873, 0.2717261849436909, -0.006996314738912938, 0.2579997222010906, 0.12570328321218346, 0.04340171546388704, 0.0932010008652399, 0.2571311185709559, 0.10506230951286852, 0.09465503346515246, -0.21683871471323074, 0.016950989310414746, 0.017827946708824198] |
1,803.00646 | Data mining for detecting Bitcoin Ponzi schemes | Soon after its introduction in 2009, Bitcoin has been adopted by
cyber-criminals, which rely on its pseudonymity to implement virtually
untraceable scams. One of the typical scams that operate on Bitcoin are the
so-called Ponzi schemes. These are fraudulent investments which repay users
with the funds invested by new users that join the scheme, and implode when it
is no longer possible to find new investments. Despite being illegal in many
countries, Ponzi schemes are now proliferating on Bitcoin, and they keep
alluring new victims, who are plundered of millions of dollars. We apply data
mining techniques to detect Bitcoin addresses related to Ponzi schemes. Our
starting point is a dataset of features of real-world Ponzi schemes, that we
construct by analysing, on the Bitcoin blockchain, the transactions used to
perform the scams. We use this dataset to experiment with various machine
learning algorithms, and we assess their effectiveness through standard
validation protocols and performance metrics. The best of the classifiers we
have experimented can identify most of the Ponzi schemes in the dataset, with a
low number of false positives.
| cs.CR | soon after its introduction in 2009 bitcoin has been adopted by cybercriminals which rely on its pseudonymity to implement virtually untraceable scams one of the typical scams that operate on bitcoin are the socalled ponzi schemes these are fraudulent investments which repay users with the funds invested by new users that join the scheme and implode when it is no longer possible to find new investments despite being illegal in many countries ponzi schemes are now proliferating on bitcoin and they keep alluring new victims who are plundered of millions of dollars we apply data mining techniques to detect bitcoin addresses related to ponzi schemes our starting point is a dataset of features of realworld ponzi schemes that we construct by analysing on the bitcoin blockchain the transactions used to perform the scams we use this dataset to experiment with various machine learning algorithms and we assess their effectiveness through standard validation protocols and performance metrics the best of the classifiers we have experimented can identify most of the ponzi schemes in the dataset with a low number of false positives | [['soon', 'after', 'its', 'introduction', 'in', '2009', 'bitcoin', 'has', 'been', 'adopted', 'by', 'cybercriminals', 'which', 'rely', 'on', 'its', 'pseudonymity', 'to', 'implement', 'virtually', 'untraceable', 'scams', 'one', 'of', 'the', 'typical', 'scams', 'that', 'operate', 'on', 'bitcoin', 'are', 'the', 'socalled', 'ponzi', 'schemes', 'these', 'are', 'fraudulent', 'investments', 'which', 'repay', 'users', 'with', 'the', 'funds', 'invested', 'by', 'new', 'users', 'that', 'join', 'the', 'scheme', 'and', 'implode', 'when', 'it', 'is', 'no', 'longer', 'possible', 'to', 'find', 'new', 'investments', 'despite', 'being', 'illegal', 'in', 'many', 'countries', 'ponzi', 'schemes', 'are', 'now', 'proliferating', 'on', 'bitcoin', 'and', 'they', 'keep', 'alluring', 'new', 'victims', 'who', 'are', 'plundered', 'of', 'millions', 'of', 'dollars', 'we', 'apply', 'data', 'mining', 'techniques', 'to', 'detect', 'bitcoin', 'addresses', 'related', 'to', 'ponzi', 'schemes', 'our', 'starting', 'point', 'is', 'a', 'dataset', 'of', 'features', 'of', 'realworld', 'ponzi', 'schemes', 'that', 'we', 'construct', 'by', 'analysing', 'on', 'the', 'bitcoin', 'blockchain', 'the', 'transactions', 'used', 'to', 'perform', 'the', 'scams', 'we', 'use', 'this', 'dataset', 'to', 'experiment', 'with', 'various', 'machine', 'learning', 'algorithms', 'and', 'we', 'assess', 'their', 'effectiveness', 'through', 'standard', 'validation', 'protocols', 'and', 'performance', 'metrics', 'the', 'best', 'of', 'the', 'classifiers', 'we', 'have', 'experimented', 'can', 'identify', 'most', 'of', 'the', 'ponzi', 'schemes', 'in', 'the', 'dataset', 'with', 'a', 'low', 'number', 'of', 'false', 'positives']] | [-0.11778304893280923, 0.02065356685844664, -0.08078497647204333, 0.08146932173533261, -0.12248231192740301, -0.191037122775904, 0.14375110076636904, 0.38918295884116866, -0.22675837429253282, -0.3155583870105652, 0.16915031813227366, -0.34543787710782553, -0.1284597652188192, 0.2275248917568307, -0.1683569054843651, 0.04104863744384299, 0.05458817574609485, 0.022345824731099938, 0.028467709517119348, -0.4052155889881154, 0.3000846325329298, 0.06629083164864116, 0.3284648646833375, 0.05225438119377941, 0.07732589694787748, -0.060806792701542794, -0.08739185388775594, -0.052063402533531186, -0.07663992349403594, 0.13443353287455265, 0.3144742475201686, 0.23422120973441957, 0.37465976495813164, -0.4255437536165118, -0.1420501794329741, 0.13944817690127012, 0.09505136818495682, 0.1090048618058467, -0.02393172212048537, -0.3245104884211388, 0.1382793486933224, -0.2673535234838103, -0.0623522209469229, -0.14564975606174105, -0.005506883429673811, 0.04254511723217244, -0.1971312038503432, -0.003572973324399855, -0.032352030085813666, 0.06937555403759083, 0.032367609115802526, -0.07608839040953576, -0.01565092599937796, 0.18849834080788747, 0.12119942411728617, -0.060828435405467944, 0.15998380239794238, -0.10709530706598243, -0.21320285012285847, 0.370493645241691, -0.008204588184081431, -0.11212062284531486, 0.20364136490712148, -0.02075741852944096, -0.147597853863974, 0.09923244732587287, 0.22202077030669898, 0.08551801240994084, -0.16489642284876835, -0.009217640027863025, -0.036907957719328505, 0.17568508019790494, 0.07477781567722559, 0.009538224959720133, 0.1519751984406159, 0.18482859666805274, 0.07124323485412687, 0.0647431412556519, -0.05446964827003992, -0.10616117642138205, -0.18727754997348206, -0.12955076186109282, -0.14531626495429212, 0.0037495773039861687, -0.047156149050311395, -0.14547052029908325, 0.3681194271213826, 0.22756090231964157, 0.1145354448245295, 0.03449307324804573, 0.33437461163848636, -0.001057163201039657, 0.14501791221005583, 0.14598357746791507, 0.20047715403747537, -0.01908646747081851, 0.16499663100370932, -0.12701176172575085, 0.13918808810154182, 0.004075661996709338] |
1,803.00647 | Template-assisted scalable nanowire networks | Topological qubits based on Majorana fermions have the potential to
revolutionize the emerging field of quantum computing by making information
processing significantly more robust to decoherence. Nanowires (NWs) are a
promising medium for hosting these kinds of qubits, though branched NWs are
needed to perform qubit manipulations. Here we report gold-free templated
growth of III-V NWs by molecular beam epitaxy using an approach that enables
patternable and highly regular branched NW arrays on a far greater scale than
what has been reported thus far. Our approach relies on the lattice-mismatched
growth of InAs on top of defect-free GaAs nanomembranes (NMs) yielding
laterally-oriented, low-defect InAs and InGaAs NWs whose shapes are determined
by surface and strain energy minimization. By controlling NM width and growth
time, we demonstrate the formation of compositionally graded NWs with
cross-sections less than 50 nm. Scaling the NWs below 20 nm leads to the
formation of homogenous InGaAs NWs which exhibit phase-coherent, quasi-1D
quantum transport as shown by magnetoconductance measurements. These results
are an important advance towards scalable topological quantum computing.
| quant-ph cond-mat.mes-hall | topological qubits based on majorana fermions have the potential to revolutionize the emerging field of quantum computing by making information processing significantly more robust to decoherence nanowires nws are a promising medium for hosting these kinds of qubits though branched nws are needed to perform qubit manipulations here we report goldfree templated growth of iiiv nws by molecular beam epitaxy using an approach that enables patternable and highly regular branched nw arrays on a far greater scale than what has been reported thus far our approach relies on the latticemismatched growth of inas on top of defectfree gaas nanomembranes nms yielding laterallyoriented lowdefect inas and ingaas nws whose shapes are determined by surface and strain energy minimization by controlling nm width and growth time we demonstrate the formation of compositionally graded nws with crosssections less than 50 nm scaling the nws below 20 nm leads to the formation of homogenous ingaas nws which exhibit phasecoherent quasi1d quantum transport as shown by magnetoconductance measurements these results are an important advance towards scalable topological quantum computing | [['topological', 'qubits', 'based', 'on', 'majorana', 'fermions', 'have', 'the', 'potential', 'to', 'revolutionize', 'the', 'emerging', 'field', 'of', 'quantum', 'computing', 'by', 'making', 'information', 'processing', 'significantly', 'more', 'robust', 'to', 'decoherence', 'nanowires', 'nws', 'are', 'a', 'promising', 'medium', 'for', 'hosting', 'these', 'kinds', 'of', 'qubits', 'though', 'branched', 'nws', 'are', 'needed', 'to', 'perform', 'qubit', 'manipulations', 'here', 'we', 'report', 'goldfree', 'templated', 'growth', 'of', 'iiiv', 'nws', 'by', 'molecular', 'beam', 'epitaxy', 'using', 'an', 'approach', 'that', 'enables', 'patternable', 'and', 'highly', 'regular', 'branched', 'nw', 'arrays', 'on', 'a', 'far', 'greater', 'scale', 'than', 'what', 'has', 'been', 'reported', 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1,803.00648 | Uniform large deviation principles for Banach space valued stochastic
differential equations | We prove a large deviation principle (LDP) for a general class of Banach
space valued stochastic differential equations (SDE) that is uniform with
respect to initial conditions in bounded subsets of the Banach space. A key
step in the proof is showing that a uniform large deviation principle over
compact sets is implied by a uniform over compact sets Laplace principle.
Because bounded subsets of infinite dimensional Banach spaces are in general
not relatively compact in the norm topology, we embed the Banach space into its
double dual and utilize the weak-$\star $ compactness of closed bounded sets in
the double dual space. We prove that a modified version of our stochastic
differential equation satisfies a uniform Laplace principle over weak-$\star $
compact sets and consequently a uniform over bounded sets large deviation
principle. We then transfer this result back to the original equation using a
contraction principle. The main motivation for this uniform LDP is to
generalize results of Freidlin and Wentzell concerning the behavior of finite
dimensional SDEs. Here we apply the uniform LDP to study the asymptotics of
exit times from bounded sets of Banach space valued small noise SDE, including
reaction diffusion equations with multiplicative noise and $2$-dimensional
stochastic Navier-Stokes equations with multiplicative noise.
| math.PR | we prove a large deviation principle ldp for a general class of banach space valued stochastic differential equations sde that is uniform with respect to initial conditions in bounded subsets of the banach space a key step in the proof is showing that a uniform large deviation principle over compact sets is implied by a uniform over compact sets laplace principle because bounded subsets of infinite dimensional banach spaces are in general not relatively compact in the norm topology we embed the banach space into its double dual and utilize the weakstar compactness of closed bounded sets in the double dual space we prove that a modified version of our stochastic differential equation satisfies a uniform laplace principle over weakstar compact sets and consequently a uniform over bounded sets large deviation principle we then transfer this result back to the original equation using a contraction principle the main motivation for this uniform ldp is to generalize results of freidlin and wentzell concerning the behavior of finite dimensional sdes here we apply the uniform ldp to study the asymptotics of exit times from bounded sets of banach space valued small noise sde including reaction diffusion equations with multiplicative noise and 2dimensional stochastic navierstokes equations with multiplicative noise | [['we', 'prove', 'a', 'large', 'deviation', 'principle', 'ldp', 'for', 'a', 'general', 'class', 'of', 'banach', 'space', 'valued', 'stochastic', 'differential', 'equations', 'sde', 'that', 'is', 'uniform', 'with', 'respect', 'to', 'initial', 'conditions', 'in', 'bounded', 'subsets', 'of', 'the', 'banach', 'space', 'a', 'key', 'step', 'in', 'the', 'proof', 'is', 'showing', 'that', 'a', 'uniform', 'large', 'deviation', 'principle', 'over', 'compact', 'sets', 'is', 'implied', 'by', 'a', 'uniform', 'over', 'compact', 'sets', 'laplace', 'principle', 'because', 'bounded', 'subsets', 'of', 'infinite', 'dimensional', 'banach', 'spaces', 'are', 'in', 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1,803.00649 | Wilson loop and its correlators in the limit of large coupling constant | In this paper we study Wilson loops in various representations for finite and
large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge
theories. We also compute correlators of Wilson loops in different
representations and perform a check with the dual gravitational theory.
| hep-th | in this paper we study wilson loops in various representations for finite and large values of the color gauge group for supersymmetric cal n4 gauge theories we also compute correlators of wilson loops in different representations and perform a check with the dual gravitational theory | [['in', 'this', 'paper', 'we', 'study', 'wilson', 'loops', 'in', 'various', 'representations', 'for', 'finite', 'and', 'large', 'values', 'of', 'the', 'color', 'gauge', 'group', 'for', 'supersymmetric', 'cal', 'n4', 'gauge', 'theories', 'we', 'also', 'compute', 'correlators', 'of', 'wilson', 'loops', 'in', 'different', 'representations', 'and', 'perform', 'a', 'check', 'with', 'the', 'dual', 'gravitational', 'theory']] | [-0.12183613338921633, 0.23801584020256997, -0.07018687172482412, 0.1212128854330836, -0.03493922928141223, -0.10792612419981096, -0.024985147236535946, 0.3977548859599564, -0.10933052313824494, -0.24888398059540326, 0.08332977985911486, -0.2593879034949674, -0.18406570189528995, 0.07244609741287099, -0.040792589282823935, 0.06750852959004179, 0.027453340476171838, 0.06887810027433766, -0.1713404862003194, -0.2509428445249796, 0.3219121770001948, -0.042138620465993884, 0.25424983449694183, 0.10484629033340348, 0.0747708580767115, 0.03848559744656086, -0.07457421622756455, 0.03162973372058736, -0.0684904928629597, 0.15942235397588875, 0.2295776232663128, 0.06088043813490206, 0.07747348603895969, -0.43390038054850366, -0.182233624243074, 0.12424257120324506, 0.18830059547908604, 0.1325857624411583, 0.03952254847519927, -0.24484460051688883, 0.10694055640035205, -0.2146263659828239, -0.11703784936625096, -0.12436102895687023, 0.022631829563114377, -0.1455104760463453, -0.29034150818155874, -0.027232415498777602, -0.10013996466166443, 0.13594338411672247, -0.021599149559107092, -0.05748051131247646, -0.005462826718576253, 0.1290742054892083, 0.11818363641699155, 0.052464945702296165, 0.07771247492896186, -0.2589730608742684, -0.19948393448462917, 0.39416924284564125, -0.09931516084406111, -0.21351344999339844, 0.15107754324045447, -0.1950008632408248, -0.2862652727920148, 0.01568455260033564, 0.18003393753121297, 0.21806201839968303, -0.10808601290401486, 0.22036088578558216, -0.10036736904746957, 0.0599123855587095, 0.09534801633821594, 0.03578640903449721, 0.2346551101240847, 0.016627241526212956, -0.0074392591292659445, 0.18644798642231358, 0.01799533615509669, -0.08744846701415049, -0.4562191100170215, -0.15662713862127728, -0.053383333991385166, 0.031541474737847845, -0.18536720201308426, -0.21306287213746045, 0.40307323227946956, 0.18174474312820368, 0.20495479885074827, 0.14734922123865948, 0.169040537542767, 0.11659480174227307, 0.12051370408799914, 0.06042810889581839, 0.16695456115735902, 0.20087178492297728, 0.05427337752448188, -0.2957229347278674, -0.20586954802274704, 0.2581219725052102] |
1,803.0065 | Kernel Embedding Approaches to Orbit Determination of Spacecraft
Clusters | This paper presents a novel formulation and solution of orbit determination
over finite time horizons as a learning problem. We present an approach to
orbit determination under very broad conditions that are satisfied for n-body
problems. These weak conditions allow us to perform orbit determination with
noisy and highly non-linear observations such as those presented by range-rate
only (Doppler only) observations. We show that domain generalization and
distribution regression techniques can learn to estimate orbits of a group of
satellites and identify individual satellites especially with prior
understanding of correlations between orbits and provide asymptotic convergence
conditions. The approach presented requires only visibility and observability
of the underlying state from observations and is particularly useful for
autonomous spacecraft operations using low-cost ground stations or sensors. We
validate the orbit determination approach using observations of two spacecraft
(GRIFEX and MCubed-2) along with synthetic datasets of multiple spacecraft
deployments and lunar orbits. We also provide a comparison with the standard
techniques (EKF) under highly noisy conditions.
| stat.ML | this paper presents a novel formulation and solution of orbit determination over finite time horizons as a learning problem we present an approach to orbit determination under very broad conditions that are satisfied for nbody problems these weak conditions allow us to perform orbit determination with noisy and highly nonlinear observations such as those presented by rangerate only doppler only observations we show that domain generalization and distribution regression techniques can learn to estimate orbits of a group of satellites and identify individual satellites especially with prior understanding of correlations between orbits and provide asymptotic convergence conditions the approach presented requires only visibility and observability of the underlying state from observations and is particularly useful for autonomous spacecraft operations using lowcost ground stations or sensors we validate the orbit determination approach using observations of two spacecraft grifex and mcubed2 along with synthetic datasets of multiple spacecraft deployments and lunar orbits we also provide a comparison with the standard techniques ekf under highly noisy conditions | [['this', 'paper', 'presents', 'a', 'novel', 'formulation', 'and', 'solution', 'of', 'orbit', 'determination', 'over', 'finite', 'time', 'horizons', 'as', 'a', 'learning', 'problem', 'we', 'present', 'an', 'approach', 'to', 'orbit', 'determination', 'under', 'very', 'broad', 'conditions', 'that', 'are', 'satisfied', 'for', 'nbody', 'problems', 'these', 'weak', 'conditions', 'allow', 'us', 'to', 'perform', 'orbit', 'determination', 'with', 'noisy', 'and', 'highly', 'nonlinear', 'observations', 'such', 'as', 'those', 'presented', 'by', 'rangerate', 'only', 'doppler', 'only', 'observations', 'we', 'show', 'that', 'domain', 'generalization', 'and', 'distribution', 'regression', 'techniques', 'can', 'learn', 'to', 'estimate', 'orbits', 'of', 'a', 'group', 'of', 'satellites', 'and', 'identify', 'individual', 'satellites', 'especially', 'with', 'prior', 'understanding', 'of', 'correlations', 'between', 'orbits', 'and', 'provide', 'asymptotic', 'convergence', 'conditions', 'the', 'approach', 'presented', 'requires', 'only', 'visibility', 'and', 'observability', 'of', 'the', 'underlying', 'state', 'from', 'observations', 'and', 'is', 'particularly', 'useful', 'for', 'autonomous', 'spacecraft', 'operations', 'using', 'lowcost', 'ground', 'stations', 'or', 'sensors', 'we', 'validate', 'the', 'orbit', 'determination', 'approach', 'using', 'observations', 'of', 'two', 'spacecraft', 'grifex', 'and', 'mcubed2', 'along', 'with', 'synthetic', 'datasets', 'of', 'multiple', 'spacecraft', 'deployments', 'and', 'lunar', 'orbits', 'we', 'also', 'provide', 'a', 'comparison', 'with', 'the', 'standard', 'techniques', 'ekf', 'under', 'highly', 'noisy', 'conditions']] | [-0.1400264550609813, 0.04713203898642893, -0.11479886067329825, 0.025129174465819457, -0.09812805351059607, -0.14882061203918706, 0.044492239085813685, 0.42282405576128285, -0.22387814384965618, -0.34218559644679414, 0.1492832960937471, -0.22231089459433231, -0.1447069680344825, 0.25875596096308007, -0.10057731737658658, 0.08937636628907955, 0.1992690421807591, -0.02052322011850602, -0.0881656140755908, -0.20718183743129312, 0.2867007412240599, 0.06447422005995004, 0.19675406875709692, -0.030353171320453884, 0.12612750802051137, 0.026175166631511263, -0.03345382448075983, 0.018616813424698734, -0.13069793614345088, 0.1250767952476536, 0.2645698513944898, 0.15800053079290616, 0.24373051854436872, -0.42625104830266886, -0.19582085016206552, 0.08004583975150721, 0.10904049254482451, 0.07499646414928268, -0.03993291584674246, -0.35807668910948215, 0.07127511503539956, -0.17028960566047902, -0.14844261728141622, -0.1330384269333732, 0.008140308762337138, 0.020441891970457853, -0.3197710205582373, 0.04386379007975151, 0.021012401851799548, 0.0922685846903564, -0.11966011178931997, -0.07525954222490575, 0.03688656290947103, 0.15317477987372075, 0.06621151045970848, -0.03989375292978905, 0.12360068184703037, -0.0788645876304212, -0.09328166154834132, 0.4039082917741235, -0.04720935037641292, -0.17545270227272364, 0.2496357396658924, -0.15344186942093074, -0.1397469711581958, 0.0953058520860878, 0.19255543024175698, 0.13765828646891923, -0.17288114507337687, 0.03529443434852084, -0.022228806454941262, 0.15815667144632267, 0.056599420752594776, 0.042554106180308915, 0.21815958842175243, 0.15455853011758056, 0.15413555195900025, 0.07241826079624855, -0.16251519669629175, -0.06129901404032645, -0.24651267600244336, -0.09493167660584283, -0.1463545066833404, 0.005544186874442262, -0.0837582879099545, -0.13876879846874443, 0.3512827520787624, 0.2050343936705893, 0.2076037547401624, 0.07021313962055209, 0.336515935977208, 0.061687119973444, 0.014022897221837883, 0.07974947266852667, 0.22269414679038074, 0.1306685202576818, 0.07409138579918992, -0.18856125600983814, 0.06491451670507682, 0.03745352050697684] |
1,803.00651 | Static and Dynamic Robust PCA and Matrix Completion: A Review | Principal Components Analysis (PCA) is one of the most widely used dimension
reduction techniques. Robust PCA (RPCA) refers to the problem of PCA when the
data may be corrupted by outliers. Recent work by Cand{\`e}s, Wright, Li, and
Ma defined RPCA as a problem of decomposing a given data matrix into the sum of
a low-rank matrix (true data) and a sparse matrix (outliers). The column space
of the low-rank matrix then gives the PCA solution. This simple definition has
lead to a large amount of interesting new work on provably correct, fast, and
practical solutions to RPCA. More recently, the dynamic (time-varying) version
of the RPCA problem has been studied and a series of provably correct, fast,
and memory efficient tracking solutions have been proposed. Dynamic RPCA (or
robust subspace tracking) is the problem of tracking data lying in a (slowly)
changing subspace while being robust to sparse outliers. This article provides
an exhaustive review of the last decade of literature on RPCA and its dynamic
counterpart (robust subspace tracking), along with describing their theoretical
guarantees, discussing the pros and cons of various approaches, and providing
empirical comparisons of performance and speed.
A brief overview of the (low-rank) matrix completion literature is also
provided (the focus is on works not discussed in other recent reviews). This
refers to the problem of completing a low-rank matrix when only a subset of its
entries are observed. It can be interpreted as a simpler special case of RPCA
in which the indices of the outlier corrupted entries are known.
| cs.IT cs.LG math.IT stat.ML | principal components analysis pca is one of the most widely used dimension reduction techniques robust pca rpca refers to the problem of pca when the data may be corrupted by outliers recent work by candes wright li and ma defined rpca as a problem of decomposing a given data matrix into the sum of a lowrank matrix true data and a sparse matrix outliers the column space of the lowrank matrix then gives the pca solution this simple definition has lead to a large amount of interesting new work on provably correct fast and practical solutions to rpca more recently the dynamic timevarying version of the rpca problem has been studied and a series of provably correct fast and memory efficient tracking solutions have been proposed dynamic rpca or robust subspace tracking is the problem of tracking data lying in a slowly changing subspace while being robust to sparse outliers this article provides an exhaustive review of the last decade of literature on rpca and its dynamic counterpart robust subspace tracking along with describing their theoretical guarantees discussing the pros and cons of various approaches and providing empirical comparisons of performance and speed a brief overview of the lowrank matrix completion literature is also provided the focus is on works not discussed in other recent reviews this refers to the problem of completing a lowrank matrix when only a subset of its entries are observed it can be interpreted as a simpler special case of rpca in which the indices of the outlier corrupted entries are known | [['principal', 'components', 'analysis', 'pca', 'is', 'one', 'of', 'the', 'most', 'widely', 'used', 'dimension', 'reduction', 'techniques', 'robust', 'pca', 'rpca', 'refers', 'to', 'the', 'problem', 'of', 'pca', 'when', 'the', 'data', 'may', 'be', 'corrupted', 'by', 'outliers', 'recent', 'work', 'by', 'candes', 'wright', 'li', 'and', 'ma', 'defined', 'rpca', 'as', 'a', 'problem', 'of', 'decomposing', 'a', 'given', 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0.10645729433092857, 0.07738525029869772] |
1,803.00652 | Q#: Enabling scalable quantum computing and development with a
high-level domain-specific language | Quantum computing exploits quantum phenomena such as superposition and
entanglement to realize a form of parallelism that is not available to
traditional computing. It offers the potential of significant computational
speed-ups in quantum chemistry, materials science, cryptography, and machine
learning. The dominant approach to programming quantum computers is to provide
an existing high-level language with libraries that allow for the expression of
quantum programs. This approach can permit computations that are meaningless in
a quantum context; prohibits succinct expression of interaction between
classical and quantum logic; and does not provide important constructs that are
required for quantum programming. We present Q#, a quantum-focused
domain-specific language explicitly designed to correctly, clearly and
completely express quantum algorithms. Q# provides a type system, a tightly
constrained environment to safely interleave classical and quantum
computations; specialized syntax, symbolic code manipulation to automatically
generate correct transformations of quantum operations, and powerful functional
constructs which aid composition.
| quant-ph cs.ET cs.PL | quantum computing exploits quantum phenomena such as superposition and entanglement to realize a form of parallelism that is not available to traditional computing it offers the potential of significant computational speedups in quantum chemistry materials science cryptography and machine learning the dominant approach to programming quantum computers is to provide an existing highlevel language with libraries that allow for the expression of quantum programs this approach can permit computations that are meaningless in a quantum context prohibits succinct expression of interaction between classical and quantum logic and does not provide important constructs that are required for quantum programming we present q a quantumfocused domainspecific language explicitly designed to correctly clearly and completely express quantum algorithms q provides a type system a tightly constrained environment to safely interleave classical and quantum computations specialized syntax symbolic code manipulation to automatically generate correct transformations of quantum operations and powerful functional constructs which aid composition | [['quantum', 'computing', 'exploits', 'quantum', 'phenomena', 'such', 'as', 'superposition', 'and', 'entanglement', 'to', 'realize', 'a', 'form', 'of', 'parallelism', 'that', 'is', 'not', 'available', 'to', 'traditional', 'computing', 'it', 'offers', 'the', 'potential', 'of', 'significant', 'computational', 'speedups', 'in', 'quantum', 'chemistry', 'materials', 'science', 'cryptography', 'and', 'machine', 'learning', 'the', 'dominant', 'approach', 'to', 'programming', 'quantum', 'computers', 'is', 'to', 'provide', 'an', 'existing', 'highlevel', 'language', 'with', 'libraries', 'that', 'allow', 'for', 'the', 'expression', 'of', 'quantum', 'programs', 'this', 'approach', 'can', 'permit', 'computations', 'that', 'are', 'meaningless', 'in', 'a', 'quantum', 'context', 'prohibits', 'succinct', 'expression', 'of', 'interaction', 'between', 'classical', 'and', 'quantum', 'logic', 'and', 'does', 'not', 'provide', 'important', 'constructs', 'that', 'are', 'required', 'for', 'quantum', 'programming', 'we', 'present', 'q', 'a', 'quantumfocused', 'domainspecific', 'language', 'explicitly', 'designed', 'to', 'correctly', 'clearly', 'and', 'completely', 'express', 'quantum', 'algorithms', 'q', 'provides', 'a', 'type', 'system', 'a', 'tightly', 'constrained', 'environment', 'to', 'safely', 'interleave', 'classical', 'and', 'quantum', 'computations', 'specialized', 'syntax', 'symbolic', 'code', 'manipulation', 'to', 'automatically', 'generate', 'correct', 'transformations', 'of', 'quantum', 'operations', 'and', 'powerful', 'functional', 'constructs', 'which', 'aid', 'composition']] | [-0.10188325878387938, 0.07770373033291737, -0.11711101310327648, 0.10577528567053378, -0.14930876822521288, -0.2478245806042105, 0.044156161348025004, 0.3577478799348076, -0.3152518380107358, -0.3423487966756026, 0.025408624220484247, -0.2010579349473119, -0.1852657091182967, 0.25278362799435855, -0.08453369020484387, 0.12033342302699263, 0.0847526629738665, 0.014404928964019443, -0.04983945575542748, -0.2356854275194928, 0.24303469760964314, 0.046823092836420985, 0.26451752565180264, 0.03788320547590653, 0.08739333958985905, 0.020124141855631023, 0.02434723931364715, -0.018577075206364195, -0.08010805242093436, 0.2099813346634619, 0.3860110891428, 0.24778463524766267, 0.2718442142692705, -0.4735749056438605, -0.16622699949269493, 0.054336431487463414, 0.12630646746605634, 0.18588538294696869, -0.04393544478652378, -0.2601720161239306, 0.06520665956505885, -0.18541638457061102, -0.03983756727539003, -0.21598407411947845, 0.008637352731699745, -0.054415468521183355, -0.23158545944684494, -0.009491213851918777, 0.08926293453318067, 0.0805661160700644, 0.044851447902619836, -0.054376421840085336, 0.05604853490988414, 0.15623866981205842, -0.10325977263981864, 0.042090554482614, 0.15574456324800848, -0.12698275189807948, -0.2263507415272761, 0.41958362333476545, 0.0027177771491309006, -0.20904593848933775, 0.22134130613257488, -0.022213066909462214, -0.15288303323090077, 0.06990613961902757, 0.17529374274114767, 0.07217978432153661, -0.1551550322708984, 0.1390004199545365, 0.04666806180650989, 0.22756552355363965, 0.024908593371510506, 0.08594116596194605, 0.23741394935175777, 0.0974859618768096, 0.03098271494459671, 0.14826673649639513, 0.02120754492158691, -0.19517118552234025, -0.29130522918576995, -0.21832496871958332, -0.17836196968176712, 0.03453062210251422, -0.05199946756717206, -0.21089900276002785, 0.32783005642549445, 0.1857880485438121, 0.08078488924230139, 0.07639629255747422, 0.34472625200326246, 0.09033498092476899, 0.14322800759846965, 0.12163327537011355, 0.13471908027771862, 0.11614189993124455, 0.11995841460923354, -0.2062367910053581, 0.08838301938958466, 0.037678855432507895] |
1,803.00653 | Semi-parametric Topological Memory for Navigation | We introduce a new memory architecture for navigation in previously unseen
environments, inspired by landmark-based navigation in animals. The proposed
semi-parametric topological memory (SPTM) consists of a (non-parametric) graph
with nodes corresponding to locations in the environment and a (parametric)
deep network capable of retrieving nodes from the graph based on observations.
The graph stores no metric information, only connectivity of locations
corresponding to the nodes. We use SPTM as a planning module in a navigation
system. Given only 5 minutes of footage of a previously unseen maze, an
SPTM-based navigation agent can build a topological map of the environment and
use it to confidently navigate towards goals. The average success rate of the
SPTM agent in goal-directed navigation across test environments is higher than
the best-performing baseline by a factor of three. A video of the agent is
available at https://youtu.be/vRF7f4lhswo
| cs.LG cs.AI cs.CV cs.RO | we introduce a new memory architecture for navigation in previously unseen environments inspired by landmarkbased navigation in animals the proposed semiparametric topological memory sptm consists of a nonparametric graph with nodes corresponding to locations in the environment and a parametric deep network capable of retrieving nodes from the graph based on observations the graph stores no metric information only connectivity of locations corresponding to the nodes we use sptm as a planning module in a navigation system given only 5 minutes of footage of a previously unseen maze an sptmbased navigation agent can build a topological map of the environment and use it to confidently navigate towards goals the average success rate of the sptm agent in goaldirected navigation across test environments is higher than the bestperforming baseline by a factor of three a video of the agent is available at httpsyoutubevrf7f4lhswo | [['we', 'introduce', 'a', 'new', 'memory', 'architecture', 'for', 'navigation', 'in', 'previously', 'unseen', 'environments', 'inspired', 'by', 'landmarkbased', 'navigation', 'in', 'animals', 'the', 'proposed', 'semiparametric', 'topological', 'memory', 'sptm', 'consists', 'of', 'a', 'nonparametric', 'graph', 'with', 'nodes', 'corresponding', 'to', 'locations', 'in', 'the', 'environment', 'and', 'a', 'parametric', 'deep', 'network', 'capable', 'of', 'retrieving', 'nodes', 'from', 'the', 'graph', 'based', 'on', 'observations', 'the', 'graph', 'stores', 'no', 'metric', 'information', 'only', 'connectivity', 'of', 'locations', 'corresponding', 'to', 'the', 'nodes', 'we', 'use', 'sptm', 'as', 'a', 'planning', 'module', 'in', 'a', 'navigation', 'system', 'given', 'only', '5', 'minutes', 'of', 'footage', 'of', 'a', 'previously', 'unseen', 'maze', 'an', 'sptmbased', 'navigation', 'agent', 'can', 'build', 'a', 'topological', 'map', 'of', 'the', 'environment', 'and', 'use', 'it', 'to', 'confidently', 'navigate', 'towards', 'goals', 'the', 'average', 'success', 'rate', 'of', 'the', 'sptm', 'agent', 'in', 'goaldirected', 'navigation', 'across', 'test', 'environments', 'is', 'higher', 'than', 'the', 'bestperforming', 'baseline', 'by', 'a', 'factor', 'of', 'three', 'a', 'video', 'of', 'the', 'agent', 'is', 'available', 'at', 'httpsyoutubevrf7f4lhswo']] | [-0.12781401287232128, 0.03358279057938489, -0.04974211646310453, 0.025349409033411315, -0.11661711403700922, -0.15698810194485954, 0.08793145653326065, 0.43067559482795853, -0.22990147380956583, -0.36693041866778264, 0.0790187691396568, -0.25197059250037585, -0.16429948629811406, 0.15991375215817244, -0.14368656532394328, 0.057753748100783146, 0.09478867385436647, 0.10556009468190106, -0.00258080111379968, -0.23842763164575445, 0.2742492608825809, 0.05934287536469388, 0.26455792070898626, -0.05438544188592849, 0.18856882451966936, 0.011388453753066382, -0.010316497779318265, -0.005216365674277768, -0.05207239918610347, 0.1470188648157221, 0.31142152837876763, 0.21453730965897974, 0.3090313090610185, -0.4098080239258707, -0.23808139695652894, 0.08623885674335595, 0.10790603988404784, 0.07338682590551408, -0.00661822722675944, -0.3726244614093697, 0.07139915919729642, -0.19538071709019797, -0.05124557203546699, -0.03367121092409694, 0.03780868153719764, -0.002361809166281351, -0.26569435953029563, -0.019142529092329955, 0.035501181929638345, 0.08553898560016283, -0.06523879168422095, -0.04138957432255016, 0.006555995947149183, 0.20960839714056678, -0.048804293177090584, 0.06713221366101477, 0.17745431644309845, -0.1958268601713436, -0.1736989656696096, 0.373949685705676, -0.021114291056645536, -0.18147501969942822, 0.21767931384466854, -0.0717995478289335, -0.15028459946624934, 0.11276780218301741, 0.23751080091377455, 0.11927312114941223, -0.2028410689905286, 0.011178629936018427, -0.05387860869855753, 0.17980178791497434, 0.044050553334610804, -0.021217203154394935, 0.19347159265474018, 0.2687651380696999, 0.13000263565752124, 0.14011245163357153, -0.11899654628941789, -0.07475231963741992, -0.21256017091550997, -0.14436064258749995, -0.2184341574220785, -0.010353486938402056, -0.13757873228730336, -0.11150106596095222, 0.4261288097660456, 0.22443714448184307, 0.20916324455756694, 0.11869546035450185, 0.3348556090379134, -0.001740275786557634, 0.10890941510442645, 0.1306323505671961, 0.1516286065668932, -0.009328391712291965, 0.12425064782811594, -0.1559626167290844, 0.1286516819066102, 0.04498218005922224] |
1,803.00654 | Simulating para-Fermi oscillators | Quantum mechanics allows for a consistent formulation of particles that are
neither bosons nor fermions. These para-particles are rather indiscernible in
nature. Recently, we showed that strong coupling between a qubit and two field
modes is required to simulate even order para-Bose oscillators. Here, we show
that finite-dimensional representations of even order para-Fermi oscillators
are feasible of quantum simulation under weak coupling. This opens the door to
their potential implementation in different contemporaneous quantum
electrodynamics platforms. We emphasize the intrinsic value of para-particles
for the quantum state engineering of bichromatic field modes. In particular, we
demonstrate that binomial two field mode states result from the evolution of
para-Fermi vacuum states in the quantum simulation of these oscillators.
| quant-ph | quantum mechanics allows for a consistent formulation of particles that are neither bosons nor fermions these paraparticles are rather indiscernible in nature recently we showed that strong coupling between a qubit and two field modes is required to simulate even order parabose oscillators here we show that finitedimensional representations of even order parafermi oscillators are feasible of quantum simulation under weak coupling this opens the door to their potential implementation in different contemporaneous quantum electrodynamics platforms we emphasize the intrinsic value of paraparticles for the quantum state engineering of bichromatic field modes in particular we demonstrate that binomial two field mode states result from the evolution of parafermi vacuum states in the quantum simulation of these oscillators | [['quantum', 'mechanics', 'allows', 'for', 'a', 'consistent', 'formulation', 'of', 'particles', 'that', 'are', 'neither', 'bosons', 'nor', 'fermions', 'these', 'paraparticles', 'are', 'rather', 'indiscernible', 'in', 'nature', 'recently', 'we', 'showed', 'that', 'strong', 'coupling', 'between', 'a', 'qubit', 'and', 'two', 'field', 'modes', 'is', 'required', 'to', 'simulate', 'even', 'order', 'parabose', 'oscillators', 'here', 'we', 'show', 'that', 'finitedimensional', 'representations', 'of', 'even', 'order', 'parafermi', 'oscillators', 'are', 'feasible', 'of', 'quantum', 'simulation', 'under', 'weak', 'coupling', 'this', 'opens', 'the', 'door', 'to', 'their', 'potential', 'implementation', 'in', 'different', 'contemporaneous', 'quantum', 'electrodynamics', 'platforms', 'we', 'emphasize', 'the', 'intrinsic', 'value', 'of', 'paraparticles', 'for', 'the', 'quantum', 'state', 'engineering', 'of', 'bichromatic', 'field', 'modes', 'in', 'particular', 'we', 'demonstrate', 'that', 'binomial', 'two', 'field', 'mode', 'states', 'result', 'from', 'the', 'evolution', 'of', 'parafermi', 'vacuum', 'states', 'in', 'the', 'quantum', 'simulation', 'of', 'these', 'oscillators']] | [-0.1807665870899064, 0.24070919879799724, -0.0687910893963825, 0.036672841279934615, -0.03445615674345157, -0.17731867699573436, 0.021114626913291648, 0.3872265468031152, -0.21283012969691992, -0.2630709490189568, 0.016649240006008145, -0.25964617876161356, -0.15860127041446698, 0.20830701670458174, -0.006310646251066882, 0.07679416502340354, 0.08207105474275911, -0.0038300825911773066, -0.022232907776706893, -0.21491612882241926, 0.3284225936891495, -0.019710498369442157, 0.2902646671112977, 0.02289236082574034, 0.0924812253827277, -0.009453974867191834, 0.0682629946873993, 0.0013257864719400038, -0.08429448386285111, 0.0884209795582355, 0.24143237515121826, 0.03750082837521202, 0.26144306116307586, -0.4600235978857829, -0.18442088291526604, 0.11424107995067333, 0.12941230402992737, 0.19429162163765, -0.06130257045897918, -0.2990554218363558, 0.023429111000468843, -0.1625318890178783, -0.12420460092437127, -0.13381584771136698, -0.01014920619304459, -0.02546821714928135, -0.2539343752173914, 0.07331309795905, 0.05932896852724127, 0.05088004717428205, -0.028909539380488902, -0.054737412239401005, 0.004836105391319491, 0.09664736171133625, -0.01904863147283944, -0.03780473695876889, 0.09431677856124364, -0.1603709548437156, -0.18841736690881541, 0.36611999179690313, -0.061646375974290006, -0.17669491195239317, 0.2238967981762611, -0.15312817709074697, -0.11225175639737843, 0.060633777249723866, 0.12890197034192902, 0.07142933996187316, -0.1077797418125929, 0.12550997535815525, -0.0012689147574397235, 0.17151655943200597, 0.03760413643625429, 0.1151543804563773, 0.2290582821314406, 0.08685780496686761, 0.03592051902169493, 0.15287329410163, -0.028336172449824393, -0.18161975174075645, -0.3208594185531012, -0.1868564194211593, -0.20007477189552508, 0.09820161839391395, -0.055846280406271986, -0.15841935477100122, 0.40153141795363056, 0.19728287866211727, 0.11492601638803115, 0.024800397395992126, 0.23612151887172309, 0.12121642803630003, 0.03872271053071142, 0.05789353474417431, 0.3168165287695443, 0.20178046839263958, 0.04308059292598667, -0.2510180218069631, -0.0329165849993881, 0.01098586082792817] |
1,803.00655 | Memoryless Determinacy of Infinite Parity Games: Another Simple Proof | In 1998 Zielonka simplified the proofs of memoryless determinacy of infinite
parity games. In 2018 Haddad simplified some proofs of memoryless determinacy
of finite parity games. This article adapts Haddad's technique for infinite
parity games. Two proofs are given, a shorter one and a more constructive one.
None of them uses Zielonka's traps and attractors.
| cs.GT cs.LO | in 1998 zielonka simplified the proofs of memoryless determinacy of infinite parity games in 2018 haddad simplified some proofs of memoryless determinacy of finite parity games this article adapts haddads technique for infinite parity games two proofs are given a shorter one and a more constructive one none of them uses zielonkas traps and attractors | [['in', '1998', 'zielonka', 'simplified', 'the', 'proofs', 'of', 'memoryless', 'determinacy', 'of', 'infinite', 'parity', 'games', 'in', '2018', 'haddad', 'simplified', 'some', 'proofs', 'of', 'memoryless', 'determinacy', 'of', 'finite', 'parity', 'games', 'this', 'article', 'adapts', 'haddads', 'technique', 'for', 'infinite', 'parity', 'games', 'two', 'proofs', 'are', 'given', 'a', 'shorter', 'one', 'and', 'a', 'more', 'constructive', 'one', 'none', 'of', 'them', 'uses', 'zielonkas', 'traps', 'and', 'attractors']] | [-0.1692748598795367, 0.11469463837608972, -0.14688635165630667, 0.19212006828187173, -0.0999881408556744, -0.3181266518206232, 0.11336797495379061, 0.3016205206513405, -0.20876653361375686, -0.2551063246059197, 0.09314342686923703, -0.21951747361432622, -0.07104236115184095, 0.13468538024635227, -0.15108906545814266, 0.05031548273163261, 0.04861946409477645, -0.009952118663393237, 0.02525837603887474, -0.3285074313343675, 0.28535832295461594, -0.04717476045091947, 0.16163676702934834, 0.07863482236172314, 0.10682273270665771, 0.05998314479883346, -0.06733909871912112, -0.0267884048840238, -0.12151987785990867, 0.06599301331314361, 0.3011397688339154, 0.17262028404339044, 0.32185459212848433, -0.4184146160604777, -0.11944158240307674, 0.1606878111725328, 0.08542234875710199, 0.18872703135841423, -0.02753946082197621, -0.3131485066238653, 0.06387017801817921, -0.19109882635098915, -0.08133223949483147, -0.012168189510703087, 0.04921087657135946, 0.03656349664433273, -0.23816946385152363, -0.033507522454278335, 0.21921075254471767, 0.13661885536553367, -0.05200001305935008, -0.16618024941568296, 0.04677197832131275, 0.08859832183009496, -0.036462578055862754, -0.08634480420948455, 0.032970007858239114, -0.04456325918349817, -0.2813212010681767, 0.3212143098245616, -0.04445849208126741, -0.20582946996997903, 0.1861447191245302, -0.042168259551679646, -0.2095883061885144, 0.13769008948778114, 0.10997607633126555, 0.17961168928175336, -0.10224172616101525, 0.12764603929126342, -0.16629838441602057, 0.1899414554376293, 0.17797316373670818, 0.09455685960818772, 0.09184156253037078, 0.06466123434128584, 0.15635739328960577, 0.1863987084167699, 0.10269027035543264, -0.24481639228071328, -0.3386081359521658, -0.08391596787367706, -0.1397739579487178, 0.026244947341857134, -0.08210765788357498, -0.13921483816509997, 0.3554686868080386, 0.08649079346408446, 0.048338590782670374, 0.17344631099452576, 0.29702216966284645, 0.047497711773892795, -0.016998295154836442, 0.07757638842654328, 0.10357319682899052, 0.22392266892172671, 0.13931804151097485, -0.1452506783211397, 0.09450835107687723, 0.15188340092491773] |
1,803.00656 | Properties of the Top Quark | The top quark is the heaviest known elementary particle, and it is often seen
as a window to search for new physics processes in particle physics. A large
program to study the top-quark properties has been performed both at the
Tevatron and LHC colliders by the D0, CDF, ATLAS and CMS experiments. The most
recent results are discussed in this review.
| hep-ex hep-ph | the top quark is the heaviest known elementary particle and it is often seen as a window to search for new physics processes in particle physics a large program to study the topquark properties has been performed both at the tevatron and lhc colliders by the d0 cdf atlas and cms experiments the most recent results are discussed in this review | [['the', 'top', 'quark', 'is', 'the', 'heaviest', 'known', 'elementary', 'particle', 'and', 'it', 'is', 'often', 'seen', 'as', 'a', 'window', 'to', 'search', 'for', 'new', 'physics', 'processes', 'in', 'particle', 'physics', 'a', 'large', 'program', 'to', 'study', 'the', 'topquark', 'properties', 'has', 'been', 'performed', 'both', 'at', 'the', 'tevatron', 'and', 'lhc', 'colliders', 'by', 'the', 'd0', 'cdf', 'atlas', 'and', 'cms', 'experiments', 'the', 'most', 'recent', 'results', 'are', 'discussed', 'in', 'this', 'review']] | [0.01303865955989869, 0.20781269568003347, -0.12016820115968585, 0.14780365751453173, -0.10168075866875101, -0.13974497258113544, -0.01113509435634144, 0.30575051329663544, -0.21124116462067563, -0.32211733307139795, 0.08204940130521894, -0.3501234714583051, -0.008051979280130357, 0.20343970060806538, 0.07143288524058021, 0.17214437321660522, 0.11033420382281307, -0.02847342502295238, -0.032376157822179015, -0.27314725533494205, 0.1968811037683035, 0.12347471805625275, 0.20868829164470806, 0.15115581491778865, 0.04530437594493393, 0.020000162213796475, -0.10888737855387516, -0.03620316216447314, -0.11201481521129608, 0.04560225525657173, 0.28649394300701403, 0.13400201204416082, 0.17845112270080163, -0.3591803584369968, -0.09429184357696747, 0.10898802960940378, 0.12138861484947752, 0.10423940856803636, -0.17912886007765277, -0.3156743092370815, 0.1372986978042077, -0.20189598173696977, -0.09000457135471897, -0.01785994328741656, 0.009032965423997308, -0.05692962652118113, -0.25326384304732574, 0.002565603436077716, -0.04170849991840173, 0.07662730083846656, 0.07156328438231568, -0.2540194459076299, -0.03840167131122263, 0.012820841011698128, 0.12145161309630656, 0.053289687967111095, 0.17926089938913212, -0.2097951636504626, -0.2742134554342168, 0.3397218572800277, -0.028645151088655483, -0.1462182949419271, 0.2850479822010413, -0.24842759734019637, -0.15666767267021733, 0.08076573483126818, 0.23992051016233984, 0.09582405090790058, -0.27377925707851763, 0.19854159397931892, -0.0655575742578653, 0.14314209321727517, 0.0305908625281309, 0.055500126459070896, 0.22925144602300324, 0.29882925246521586, 0.002523353643959663, 0.0595768836258193, -0.09217981570476635, -0.09831937781122864, -0.4446927228690598, -0.13533199332715545, -0.1516099316602359, -0.0569302156475968, 0.062163298156400607, -0.06541211168724494, 0.4113326894928564, 0.10786918844630727, 0.2902150835200656, -0.041827474201678254, 0.27091580565224904, 0.07922198954534518, 0.08335632197635218, 0.033008064738795403, 0.33534477638141785, 0.1255653336010568, 0.2183882966942963, -0.19210694896698485, 0.05537758890699717, 0.09034426019099526] |
1,803.00657 | Evolutionary Generative Adversarial Networks | Generative adversarial networks (GAN) have been effective for learning
generative models for real-world data. However, existing GANs (GAN and its
variants) tend to suffer from training problems such as instability and mode
collapse. In this paper, we propose a novel GAN framework called evolutionary
generative adversarial networks (E-GAN) for stable GAN training and improved
generative performance. Unlike existing GANs, which employ a pre-defined
adversarial objective function alternately training a generator and a
discriminator, we utilize different adversarial training objectives as mutation
operations and evolve a population of generators to adapt to the environment
(i.e., the discriminator). We also utilize an evaluation mechanism to measure
the quality and diversity of generated samples, such that only well-performing
generator(s) are preserved and used for further training. In this way, E-GAN
overcomes the limitations of an individual adversarial training objective and
always preserves the best offspring, contributing to progress in and the
success of GANs. Experiments on several datasets demonstrate that E-GAN
achieves convincing generative performance and reduces the training problems
inherent in existing GANs.
| cs.LG cs.NE stat.ML | generative adversarial networks gan have been effective for learning generative models for realworld data however existing gans gan and its variants tend to suffer from training problems such as instability and mode collapse in this paper we propose a novel gan framework called evolutionary generative adversarial networks egan for stable gan training and improved generative performance unlike existing gans which employ a predefined adversarial objective function alternately training a generator and a discriminator we utilize different adversarial training objectives as mutation operations and evolve a population of generators to adapt to the environment ie the discriminator we also utilize an evaluation mechanism to measure the quality and diversity of generated samples such that only wellperforming generators are preserved and used for further training in this way egan overcomes the limitations of an individual adversarial training objective and always preserves the best offspring contributing to progress in and the success of gans experiments on several datasets demonstrate that egan achieves convincing generative performance and reduces the training problems inherent in existing gans | [['generative', 'adversarial', 'networks', 'gan', 'have', 'been', 'effective', 'for', 'learning', 'generative', 'models', 'for', 'realworld', 'data', 'however', 'existing', 'gans', 'gan', 'and', 'its', 'variants', 'tend', 'to', 'suffer', 'from', 'training', 'problems', 'such', 'as', 'instability', 'and', 'mode', 'collapse', 'in', 'this', 'paper', 'we', 'propose', 'a', 'novel', 'gan', 'framework', 'called', 'evolutionary', 'generative', 'adversarial', 'networks', 'egan', 'for', 'stable', 'gan', 'training', 'and', 'improved', 'generative', 'performance', 'unlike', 'existing', 'gans', 'which', 'employ', 'a', 'predefined', 'adversarial', 'objective', 'function', 'alternately', 'training', 'a', 'generator', 'and', 'a', 'discriminator', 'we', 'utilize', 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1,803.00658 | Moments of Interference in Vehicular Networks with Hardcore Headway
Distance | Interference statistics in vehicular networks have long been studied using
the Poisson Point Process (PPP) for the locations of vehicles. In roads with
few number of lanes and restricted overtaking, this model becomes unrealistic
because it assumes that the vehicles can come arbitrarily close to each other.
In this paper, we model the headway distance (the distance between the head of
a vehicle and the head of its follower) equal to the sum of a constant hardcore
distance and an exponentially distributed random variable. We study the mean,
the variance and the skewness of interference at the origin with this
deployment model. Even though the pair correlation function becomes
complicated, we devise simple formulae to capture the impact of hardcore
distance on the variance of interference in comparison with a PPP model of
equal intensity. In addition, we study the extreme scenario where the
interference originates from a lattice. We show how to relate the variance of
interference due to a lattice to that of a PPP under Rayleigh fading.
| cs.NI | interference statistics in vehicular networks have long been studied using the poisson point process ppp for the locations of vehicles in roads with few number of lanes and restricted overtaking this model becomes unrealistic because it assumes that the vehicles can come arbitrarily close to each other in this paper we model the headway distance the distance between the head of a vehicle and the head of its follower equal to the sum of a constant hardcore distance and an exponentially distributed random variable we study the mean the variance and the skewness of interference at the origin with this deployment model even though the pair correlation function becomes complicated we devise simple formulae to capture the impact of hardcore distance on the variance of interference in comparison with a ppp model of equal intensity in addition we study the extreme scenario where the interference originates from a lattice we show how to relate the variance of interference due to a lattice to that of a ppp under rayleigh fading | [['interference', 'statistics', 'in', 'vehicular', 'networks', 'have', 'long', 'been', 'studied', 'using', 'the', 'poisson', 'point', 'process', 'ppp', 'for', 'the', 'locations', 'of', 'vehicles', 'in', 'roads', 'with', 'few', 'number', 'of', 'lanes', 'and', 'restricted', 'overtaking', 'this', 'model', 'becomes', 'unrealistic', 'because', 'it', 'assumes', 'that', 'the', 'vehicles', 'can', 'come', 'arbitrarily', 'close', 'to', 'each', 'other', 'in', 'this', 'paper', 'we', 'model', 'the', 'headway', 'distance', 'the', 'distance', 'between', 'the', 'head', 'of', 'a', 'vehicle', 'and', 'the', 'head', 'of', 'its', 'follower', 'equal', 'to', 'the', 'sum', 'of', 'a', 'constant', 'hardcore', 'distance', 'and', 'an', 'exponentially', 'distributed', 'random', 'variable', 'we', 'study', 'the', 'mean', 'the', 'variance', 'and', 'the', 'skewness', 'of', 'interference', 'at', 'the', 'origin', 'with', 'this', 'deployment', 'model', 'even', 'though', 'the', 'pair', 'correlation', 'function', 'becomes', 'complicated', 'we', 'devise', 'simple', 'formulae', 'to', 'capture', 'the', 'impact', 'of', 'hardcore', 'distance', 'on', 'the', 'variance', 'of', 'interference', 'in', 'comparison', 'with', 'a', 'ppp', 'model', 'of', 'equal', 'intensity', 'in', 'addition', 'we', 'study', 'the', 'extreme', 'scenario', 'where', 'the', 'interference', 'originates', 'from', 'a', 'lattice', 'we', 'show', 'how', 'to', 'relate', 'the', 'variance', 'of', 'interference', 'due', 'to', 'a', 'lattice', 'to', 'that', 'of', 'a', 'ppp', 'under', 'rayleigh', 'fading']] | [-0.17171209702295634, 0.09576747612920693, -0.08376891400993747, 0.072811586702611, -0.02728870946996133, -0.15613935754963143, 0.10304778231006553, 0.39611322626690654, -0.28099384978413583, -0.26596550206270286, 0.0462610886507558, -0.27629090377732235, -0.1386624321259339, 0.09911555243272553, -0.07622577399374944, 0.025679346625624662, 0.03199214695076294, 0.08328153728781378, -0.021947453483538566, -0.2081520100480274, 0.3049916867036646, 0.07163732029388056, 0.30255754256538825, 0.0516997884524137, 0.08844618371906965, 0.034683870944975166, -0.020515976829783004, 0.023840206499238882, -0.09581993469353833, 0.08997069945120637, 0.18025597766288282, 0.07725607659941648, 0.26770688439993295, -0.42156955831108944, -0.21819908538942828, 0.1702354260980535, 0.16182100590975845, 0.08422075236517498, 0.024442138437948683, -0.27194976681733835, 0.07542148272794506, -0.18572060457047293, -0.12735078935237493, 0.046342674938633165, 0.022036949024700065, 0.0681779925684061, -0.2903012432212777, 0.06271393475882873, 0.02200854165096055, 0.040276883260401734, -0.0029933127102113382, -0.10568998975350577, 0.019404391874559224, 0.1529429807635846, 0.09555613265684396, 0.00904956793083864, 0.10393758083364982, -0.13323569265399676, -0.08419572819976191, 0.42280691130744186, -0.032867641593603523, -0.21045525355867165, 0.18478598346153055, -0.14736089349779136, -0.08949228458325653, 0.1293700120247462, 0.2232129732838503, 0.06117468332145911, -0.16499790415606078, 0.04040708746624124, -0.05150217757943799, 0.11626055626393816, 0.07690394864938058, 0.03242210414096275, 0.18633391233332292, 0.16644810454591233, 0.10703243224415929, 0.1472637383352883, -0.17769414057325134, -0.1542643632082378, -0.27369248469853225, -0.1028130449464216, -0.21164010643192074, 0.03319220311035786, -0.09815261513234445, -0.1705183318021762, 0.3482485600254115, 0.18808842415044852, 0.23894923486582498, 0.09850261604947531, 0.3359895610305316, 0.12675443925511312, 0.050092727095162604, 0.08991071225198753, 0.19804796791594365, 0.11345232589442543, 0.08707164867382208, -0.20357506631681804, 0.09891564943827688, -0.005762455694596557] |
1,803.00659 | On the number of generalized Sidon sets | A set $A$ of nonnegative integers is called a Sidon set if there is no Sidon
4-tuple, i.e., $(a,b,c,d)$ in $A$ with $a+b=c+d$ and $\{a, b\}\cap \{c,
d\}=\emptyset$. Cameron and Erd\H os proposed the problem of determining the
number of Sidon sets in $[n]$. Results of Kohayakawa, Lee, R\" odl and Samotij,
and Saxton and Thomason has established that the number of Sidon sets is
between $2^{(1.16+o(1))\sqrt{n}}$ and $2^{(6.442+o(1))\sqrt{n}}$. An
$\alpha$-generalized Sidon set in $[n]$ is a set with at most $\alpha$ Sidon
4-tuples. One way to extend the problem of Cameron and Erd\H os is to estimate
the number of $\alpha$-generalized Sidon sets in $[n]$. We show that the number
of $(n/\log^4 n)$-generalized Sidon sets in $[n]$ with additional restrictions
is $2^{\Theta(\sqrt{n})}$. In particular, the number of $(n/\log^5
n)$-generalized Sidon sets in $[n]$ is $2^{\Theta(\sqrt{n})}$. Our approach is
based on some variants of the graph container method.
| math.CO | a set a of nonnegative integers is called a sidon set if there is no sidon 4tuple ie abcd in a with abcd and a bcap c demptyset cameron and erdh os proposed the problem of determining the number of sidon sets in n results of kohayakawa lee r odl and samotij and saxton and thomason has established that the number of sidon sets is between 2116o1sqrtn and 26442o1sqrtn an alphageneralized sidon set in n is a set with at most alpha sidon 4tuples one way to extend the problem of cameron and erdh os is to estimate the number of alphageneralized sidon sets in n we show that the number of nlog4 ngeneralized sidon sets in n with additional restrictions is 2thetasqrtn in particular the number of nlog5 ngeneralized sidon sets in n is 2thetasqrtn our approach is based on some variants of the graph container method | [['a', 'set', 'a', 'of', 'nonnegative', 'integers', 'is', 'called', 'a', 'sidon', 'set', 'if', 'there', 'is', 'no', 'sidon', '4tuple', 'ie', 'abcd', 'in', 'a', 'with', 'abcd', 'and', 'a', 'bcap', 'c', 'demptyset', 'cameron', 'and', 'erdh', 'os', 'proposed', 'the', 'problem', 'of', 'determining', 'the', 'number', 'of', 'sidon', 'sets', 'in', 'n', 'results', 'of', 'kohayakawa', 'lee', 'r', 'odl', 'and', 'samotij', 'and', 'saxton', 'and', 'thomason', 'has', 'established', 'that', 'the', 'number', 'of', 'sidon', 'sets', 'is', 'between', '2116o1sqrtn', 'and', '26442o1sqrtn', 'an', 'alphageneralized', 'sidon', 'set', 'in', 'n', 'is', 'a', 'set', 'with', 'at', 'most', 'alpha', 'sidon', '4tuples', 'one', 'way', 'to', 'extend', 'the', 'problem', 'of', 'cameron', 'and', 'erdh', 'os', 'is', 'to', 'estimate', 'the', 'number', 'of', 'alphageneralized', 'sidon', 'sets', 'in', 'n', 'we', 'show', 'that', 'the', 'number', 'of', 'nlog4', 'ngeneralized', 'sidon', 'sets', 'in', 'n', 'with', 'additional', 'restrictions', 'is', '2thetasqrtn', 'in', 'particular', 'the', 'number', 'of', 'nlog5', 'ngeneralized', 'sidon', 'sets', 'in', 'n', 'is', '2thetasqrtn', 'our', 'approach', 'is', 'based', 'on', 'some', 'variants', 'of', 'the', 'graph', 'container', 'method']] | [-0.17609479587910504, 0.11137471816368032, -0.04503454615458332, 0.027552082738036224, -0.024112801581364255, -0.13697147359750395, 0.061930367588226135, 0.2898851525231168, -0.2628977689611051, -0.2814019465080366, 0.09125374366192084, -0.3777916878975671, -0.083702318197325, 0.1470433643441005, -0.12335282799161586, 0.048321058033515926, 0.04635447832082844, 0.08479843014883327, 0.06555251740240331, -0.34712599926760646, 0.3426538062217677, -0.05626243184770233, 0.16893018871417334, 0.04083152666431049, 0.06306621002290269, -0.0003410883215737754, -0.010889006820346775, 0.04550336050833094, -0.13592269557482034, 0.1049383955252967, 0.24489990143940366, 0.2168033236990972, 0.29905211463699055, -0.329586111901906, -0.08081993304738967, 0.17103175267191797, 0.10482835551274233, 0.04215550266109921, -0.01811918003789695, -0.21176034761913892, 0.15592175290823496, -0.1043695383159251, -0.10305521560848915, -0.02771950226341342, 0.15598429648269868, 0.030228489040043847, -0.3364876546222588, -0.06222285272489334, 0.10363621520970402, 0.0626477096422479, -0.007178953245828121, -0.21721148942757784, -0.00756505915477615, 0.05049404730651014, 0.006074042020943658, 0.07905087936027297, -0.015136157791933108, 0.012640109743344886, -0.13089125523793285, 0.357154497228049, -0.037068510495511624, -0.18888484133279015, 0.1436152345822032, -0.10945795560897938, -0.18286537406644945, 0.07112464879414644, 0.052116613070769556, 0.1426189959563058, -0.06038189668465277, 0.2052750228298025, -0.21025163837997565, 0.16857402027375867, 0.18686768156958036, -0.003566696080740477, 0.058140282307205526, 0.13793495796331814, 0.10295766486368817, 0.15229429070323963, -0.01108758542526128, 0.017752585150622602, -0.2753034209382945, -0.12218476845079969, -0.26904104291621983, 0.08287325110286474, -0.1264994970580025, -0.20458016770667042, 0.31084673565587606, 0.11097691698192523, 0.18724732900616423, 0.0936490620807584, 0.1891101049572422, 0.0038505689895326463, 0.004386235618209145, 0.13877312724703345, 0.0793203568385095, 0.19699024673037488, -0.029114729675046844, -0.17585176532638483, 0.02681521075970397, 0.19270895285981482] |
1,803.0066 | Optimal Distributed Energy Resources Sizing for Commercial Building
Hybrid Microgrids | As microgrids have advanced from early prototypes to relatively mature
technologies, converting data center integrated commercial buildings to
microgrids provides economic, reliability and resiliency enhancements for the
building owners. Thus, microgrid design and economically sizing distributed
energy resources (DER) are becoming more demanding to gain widespread
microgrids commercial viability. In this paper, an optimal DER sizing
formulation for a hybrid AC/DC microgrid configuration has been proposed to
leverage all benefits that AC or DC microgrid could solely contribute. Energy
storage (ES), photovoltaics (PV) and power electronics devices are coordinately
sized for economic grid-connected and reliable islanded operations. Time-of-use
(TOU) energy usages charges and peak demand charges are explicitly modeled to
achieve maximum level of cost savings. Numerical results obtained from a real
commercial building load demonstrate the benefits of the proposed approach and
the importance of jointly sizing DER for the grid-connected and islanded modes.
| math.OC | as microgrids have advanced from early prototypes to relatively mature technologies converting data center integrated commercial buildings to microgrids provides economic reliability and resiliency enhancements for the building owners thus microgrid design and economically sizing distributed energy resources der are becoming more demanding to gain widespread microgrids commercial viability in this paper an optimal der sizing formulation for a hybrid acdc microgrid configuration has been proposed to leverage all benefits that ac or dc microgrid could solely contribute energy storage es photovoltaics pv and power electronics devices are coordinately sized for economic gridconnected and reliable islanded operations timeofuse tou energy usages charges and peak demand charges are explicitly modeled to achieve maximum level of cost savings numerical results obtained from a real commercial building load demonstrate the benefits of the proposed approach and the importance of jointly sizing der for the gridconnected and islanded modes | [['as', 'microgrids', 'have', 'advanced', 'from', 'early', 'prototypes', 'to', 'relatively', 'mature', 'technologies', 'converting', 'data', 'center', 'integrated', 'commercial', 'buildings', 'to', 'microgrids', 'provides', 'economic', 'reliability', 'and', 'resiliency', 'enhancements', 'for', 'the', 'building', 'owners', 'thus', 'microgrid', 'design', 'and', 'economically', 'sizing', 'distributed', 'energy', 'resources', 'der', 'are', 'becoming', 'more', 'demanding', 'to', 'gain', 'widespread', 'microgrids', 'commercial', 'viability', 'in', 'this', 'paper', 'an', 'optimal', 'der', 'sizing', 'formulation', 'for', 'a', 'hybrid', 'acdc', 'microgrid', 'configuration', 'has', 'been', 'proposed', 'to', 'leverage', 'all', 'benefits', 'that', 'ac', 'or', 'dc', 'microgrid', 'could', 'solely', 'contribute', 'energy', 'storage', 'es', 'photovoltaics', 'pv', 'and', 'power', 'electronics', 'devices', 'are', 'coordinately', 'sized', 'for', 'economic', 'gridconnected', 'and', 'reliable', 'islanded', 'operations', 'timeofuse', 'tou', 'energy', 'usages', 'charges', 'and', 'peak', 'demand', 'charges', 'are', 'explicitly', 'modeled', 'to', 'achieve', 'maximum', 'level', 'of', 'cost', 'savings', 'numerical', 'results', 'obtained', 'from', 'a', 'real', 'commercial', 'building', 'load', 'demonstrate', 'the', 'benefits', 'of', 'the', 'proposed', 'approach', 'and', 'the', 'importance', 'of', 'jointly', 'sizing', 'der', 'for', 'the', 'gridconnected', 'and', 'islanded', 'modes']] | [-0.17199771283114137, 0.020354651652200243, 0.008637004354486949, -0.011281126356836216, -0.08770865219613087, -0.1950879200586471, 0.07863241698962219, 0.3761120588615023, -0.2331441508317045, -0.3574097373233787, 0.0979452473553026, -0.3078482508209759, -0.0800411254408416, 0.2786124637013237, -0.16074579936163177, 0.09218236015274607, 0.04345005315824829, -0.10454004352013099, 0.055806431348901245, -0.23337888132283013, 0.16653280259302722, 0.14887826097165716, 0.44875415349700326, 0.07025010343319897, 0.08126374849937214, -0.06425599692447577, 0.02661998087604498, 0.007801716615534227, -0.03739146761428605, 0.198818982478456, 0.3995272129966781, 0.12178370646714907, 0.36022957965474706, -0.5155049644667526, -0.19008771980357966, 0.10451771029239071, 0.072877507341287, -0.015200999212162248, -0.096739316875103, -0.18092292585442293, 0.12706128606364003, -0.3166551579608871, -0.08350639639829752, -0.11749785369872276, -0.0036468948462399942, 0.10968213226196581, -0.31337088432548377, 0.002436055419645433, -0.04496442238832342, 0.04070351145647723, -0.09978942813417986, -0.15806810953012057, -0.07402713820659394, 0.16214874476828645, -0.028685218654572964, -0.11717914338685283, 0.24915764081323968, -0.09332294045497888, -0.1407832466583731, 0.3798284540819968, 0.06819676658588236, -0.12651114952108214, 0.09237328570753593, 0.010863485726816901, -0.09888259129887768, 0.07503389025524515, 0.23482499871973012, 0.0021513844503025558, -0.22817626084875445, 0.039383834305395986, 0.11364426493066652, 0.17953440357980133, 0.07475454642533742, 0.055869538866882694, 0.2351122615216621, 0.23999017785014262, 0.15475321189371932, 0.1097984476255831, -0.00887316445787919, -0.12469409632111161, -0.1790828917785708, -0.15994500284051072, -0.15509237817183522, 0.03436772774037873, -0.0663839610093795, -0.13328185832882622, 0.3755736605424819, 0.1628568651973559, 0.01488662739525196, 0.04954586550914522, 0.4452580604959151, 0.11407050077145084, 0.1059802470503953, 0.12898426070520333, 0.19934701743888958, 0.002934055409297861, 0.24491924848407506, -0.23074594053985745, 0.03041099894647326, -0.031990532076050494] |
1,803.00661 | Dark energy from $\alpha$-attractors: phenomenology and observational
constraints | The possibility of linking inflation and late cosmic accelerated expansion
using the $\alpha$-attractor models has received increasing attention due to
their physical motivation. In the early universe, $\alpha$-attractors provide
an inflationary mechanism compatible with Planck satellite CMB observations and
predictive for future gravitational wave CMB modes. Additionally
$\alpha$-attractors can be written as quintessence models with a potential that
connects a power law regime with a plateau or uplifted exponential, allowing a
late cosmic accelerated expansion that can mimic behavior near a cosmological
constant. In this paper we study a generalized dark energy $\alpha$-attractor
model. We thoroughly investigate its phenomenology, including the role of all
model parameters and the possibility of large-scale tachyonic instability
clustering. We verify the relation that $1+w\sim 1/\alpha$ (while the
gravitational wave power $r\sim\alpha$) so these models predict that a
signature should appear in either the primordial B-modes or in late time
deviation from a cosmological constant. We constrain the model parameters with
current datasets, including the cosmic microwave background (Planck 2015
angular power spectrum, polarization and lensing), baryon acoustic oscillations
(BOSS DR12) and supernovae (Pantheon compressed). Our results show that
expansion histories close to a cosmological constant exist in large regions of
the parameter space, not requiring a fine-tuning of the parameters or initial
conditions.
| astro-ph.CO gr-qc hep-ph | the possibility of linking inflation and late cosmic accelerated expansion using the alphaattractor models has received increasing attention due to their physical motivation in the early universe alphaattractors provide an inflationary mechanism compatible with planck satellite cmb observations and predictive for future gravitational wave cmb modes additionally alphaattractors can be written as quintessence models with a potential that connects a power law regime with a plateau or uplifted exponential allowing a late cosmic accelerated expansion that can mimic behavior near a cosmological constant in this paper we study a generalized dark energy alphaattractor model we thoroughly investigate its phenomenology including the role of all model parameters and the possibility of largescale tachyonic instability clustering we verify the relation that 1wsim 1alpha while the gravitational wave power rsimalpha so these models predict that a signature should appear in either the primordial bmodes or in late time deviation from a cosmological constant we constrain the model parameters with current datasets including the cosmic microwave background planck 2015 angular power spectrum polarization and lensing baryon acoustic oscillations boss dr12 and supernovae pantheon compressed our results show that expansion histories close to a cosmological constant exist in large regions of the parameter space not requiring a finetuning of the parameters or initial conditions | [['the', 'possibility', 'of', 'linking', 'inflation', 'and', 'late', 'cosmic', 'accelerated', 'expansion', 'using', 'the', 'alphaattractor', 'models', 'has', 'received', 'increasing', 'attention', 'due', 'to', 'their', 'physical', 'motivation', 'in', 'the', 'early', 'universe', 'alphaattractors', 'provide', 'an', 'inflationary', 'mechanism', 'compatible', 'with', 'planck', 'satellite', 'cmb', 'observations', 'and', 'predictive', 'for', 'future', 'gravitational', 'wave', 'cmb', 'modes', 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1,803.00662 | Beta equilibrium in neutron star mergers | We show that the commonly used criterion for beta equilibrium in
neutrino-transparent dense nuclear matter becomes invalid as temperatures rise
above 1 MeV. Such temperatures are attained in neutron star mergers. By
numerically computing the relevant weak interaction rates we find that the
correct criterion for beta equilibrium requires an isospin chemical potential
that can be as large as 10-20 MeV, depending on the temperature at which
neutrinos become trapped.
| nucl-th astro-ph.HE hep-ph | we show that the commonly used criterion for beta equilibrium in neutrinotransparent dense nuclear matter becomes invalid as temperatures rise above 1 mev such temperatures are attained in neutron star mergers by numerically computing the relevant weak interaction rates we find that the correct criterion for beta equilibrium requires an isospin chemical potential that can be as large as 1020 mev depending on the temperature at which neutrinos become trapped | [['we', 'show', 'that', 'the', 'commonly', 'used', 'criterion', 'for', 'beta', 'equilibrium', 'in', 'neutrinotransparent', 'dense', 'nuclear', 'matter', 'becomes', 'invalid', 'as', 'temperatures', 'rise', 'above', '1', 'mev', 'such', 'temperatures', 'are', 'attained', 'in', 'neutron', 'star', 'mergers', 'by', 'numerically', 'computing', 'the', 'relevant', 'weak', 'interaction', 'rates', 'we', 'find', 'that', 'the', 'correct', 'criterion', 'for', 'beta', 'equilibrium', 'requires', 'an', 'isospin', 'chemical', 'potential', 'that', 'can', 'be', 'as', 'large', 'as', '1020', 'mev', 'depending', 'on', 'the', 'temperature', 'at', 'which', 'neutrinos', 'become', 'trapped']] | [-0.0561410172747961, 0.2779605717390212, -0.05746183364206682, 0.15990341084914794, 0.01334487977758239, -0.15176531583394692, 0.057418270635526576, 0.37573026257324155, -0.21415939414198848, -0.30649233918529056, 0.04599430362957165, -0.24282533396035433, -0.020878574335137786, 0.2194546223550603, 0.0721589484964025, 0.008783442771359198, 0.024078343667602843, 0.06155449001327751, -0.07174784011558454, -0.21487001655117163, 0.3096228675457878, 0.0985212184731727, 0.20351544705530009, 0.13923402196741191, 0.036582552382268645, -0.05609511445694859, 0.07024890851850311, -0.0005799521678599758, -0.16740575244983885, -0.06733688479964284, 0.27414449158654397, 0.07391336926704516, 0.20280659457911615, -0.415716249630719, -0.1973018647455003, 0.15374729911243354, 0.15524378330514266, 0.11485876057101278, -0.08738789388376787, -0.21995509219814793, 0.0931645618562681, -0.19896041430478942, -0.18746225973861158, -0.13317373417911754, 0.038683397506458175, 0.03536109539909639, -0.30615401915881946, 0.1550532780263735, 0.020062347928035087, 0.011382066334287325, -0.06805098623010343, -0.2080468597376476, -0.012989180506733448, 0.05885367470698944, 0.04475783500010553, 0.039197830770137734, 0.2120473125639061, -0.14823931799796614, -0.005597136867489072, 0.3901006066631796, -0.07264486677350773, -0.08414753186314003, 0.2068085815821626, -0.10718384201543918, -0.12971248873846902, 0.17627025862980256, 0.12735972880129365, 0.11800835783039962, -0.15019069252994613, 0.05302064981230575, 0.005496603470511626, 0.18373561159208202, 0.11427820278871534, 0.02929714529275678, 0.28534842382414616, 0.1535437629301695, 0.10074037204132132, 0.047245532299553895, -0.133765414637257, -0.07704242137328222, -0.28301486893273564, -0.10008984833847785, -0.16746593064938983, 0.10059460296052629, -0.11078688359238963, -0.12685448168844415, 0.27710849284261896, 0.1440367175374126, 0.18077970989912318, -0.018362588881838903, 0.2600458518642446, 0.14334090729750207, 0.04239898581273746, 0.0924734304105674, 0.3155088989954928, 0.14303122104847452, 0.0685847645719954, -0.2533770653594663, 0.05030870224362698, 0.015223660452318365] |
1,803.00663 | SD-CNN: a Shallow-Deep CNN for Improved Breast Cancer Diagnosis | Breast cancer is the second leading cause of cancer death among women
worldwide. Nevertheless, it is also one of the most treatable malignances if
detected early. Screening for breast cancer with digital mammography (DM) has
been widely used. However it demonstrates limited sensitivity for women with
dense breasts. An emerging technology in the field is contrast-enhanced digital
mammography (CEDM), which includes a low energy (LE) image similar to DM, and a
recombined image leveraging tumor neoangiogenesis similar to breast magnetic
resonance imaging (MRI). CEDM has shown better diagnostic accuracy than DM.
While promising, CEDM is not yet widely available across medical centers. In
this research, we propose a Shallow-Deep Convolutional Neural Network (SD-CNN)
where a shallow CNN is developed to derive "virtual" recombined images from LE
images, and a deep CNN is employed to extract novel features from LE,
recombined or "virtual" recombined images for ensemble models to classify the
cases as benign vs. cancer. To evaluate the validity of our approach, we first
develop a deep-CNN using 49 CEDM cases collected from Mayo Clinic to prove the
contributions from recombined images for improved breast cancer diagnosis (0.86
in accuracy using LE imaging vs. 0.90 in accuracy using both LE and recombined
imaging). We then develop a shallow-CNN using the same 49 CEDM cases to learn
the nonlinear mapping from LE to recombined images. Next, we use 69 DM cases
collected from the hospital located at Zhejiang University, China to generate
"virtual" recombined images. Using DM alone provides 0.91 in accuracy, whereas
SD-CNN improves the diagnostic accuracy to 0.95.
| cs.CV | breast cancer is the second leading cause of cancer death among women worldwide nevertheless it is also one of the most treatable malignances if detected early screening for breast cancer with digital mammography dm has been widely used however it demonstrates limited sensitivity for women with dense breasts an emerging technology in the field is contrastenhanced digital mammography cedm which includes a low energy le image similar to dm and a recombined image leveraging tumor neoangiogenesis similar to breast magnetic resonance imaging mri cedm has shown better diagnostic accuracy than dm while promising cedm is not yet widely available across medical centers in this research we propose a shallowdeep convolutional neural network sdcnn where a shallow cnn is developed to derive virtual recombined images from le images and a deep cnn is employed to extract novel features from le recombined or virtual recombined images for ensemble models to classify the cases as benign vs cancer to evaluate the validity of our approach we first develop a deepcnn using 49 cedm cases collected from mayo clinic to prove the contributions from recombined images for improved breast cancer diagnosis 086 in accuracy using le imaging vs 090 in accuracy using both le and recombined imaging we then develop a shallowcnn using the same 49 cedm cases to learn the nonlinear mapping from le to recombined images next we use 69 dm cases collected from the hospital located at zhejiang university china to generate virtual recombined images using dm alone provides 091 in accuracy whereas sdcnn improves the diagnostic accuracy to 095 | [['breast', 'cancer', 'is', 'the', 'second', 'leading', 'cause', 'of', 'cancer', 'death', 'among', 'women', 'worldwide', 'nevertheless', 'it', 'is', 'also', 'one', 'of', 'the', 'most', 'treatable', 'malignances', 'if', 'detected', 'early', 'screening', 'for', 'breast', 'cancer', 'with', 'digital', 'mammography', 'dm', 'has', 'been', 'widely', 'used', 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1,803.00664 | Planning Safe Paths through Hazardous Environments | Autonomous underwater vehicles (AUVs) are robotic platforms that are commonly
used to map the sea floor, for example for benthic surveys or for naval mine
countermeasures (MCM) operations. AUVs create an acoustic image of the survey
area, such that objects on the seabed can be identified and, in the case of
MCM, mines can be found and disposed of. The common method for creating such
seabed maps is to run a lawnmower survey, which is a standard method in
coverage path planning. We are interested in exploring alternate techniques for
surveying areas of interest, in order to reduce mission time or assess feasible
actions, such as finding a safe path through a hazardous region. In this paper,
we use Gaussian Process regression to build models of seabed complexity data,
obtained through lawnmower surveys. We evaluate several commonly used kernels
to assess their modeling performance, which includes modeling discontinuities
in the data. Our results show that an additive Mat\'ern kernel is most suitable
for modeling seabed complexity data. On top of the GP model, we use adaptations
of two standard path planning methods, A* and RRT*, to find safe paths for
marine vessels through the modeled areas. We evaluate the planned paths and
also run a vehicle dynamics simulator to assess potential performance by a
marine vessel.
| cs.RO | autonomous underwater vehicles auvs are robotic platforms that are commonly used to map the sea floor for example for benthic surveys or for naval mine countermeasures mcm operations auvs create an acoustic image of the survey area such that objects on the seabed can be identified and in the case of mcm mines can be found and disposed of the common method for creating such seabed maps is to run a lawnmower survey which is a standard method in coverage path planning we are interested in exploring alternate techniques for surveying areas of interest in order to reduce mission time or assess feasible actions such as finding a safe path through a hazardous region in this paper we use gaussian process regression to build models of seabed complexity data obtained through lawnmower surveys we evaluate several commonly used kernels to assess their modeling performance which includes modeling discontinuities in the data our results show that an additive matern kernel is most suitable for modeling seabed complexity data on top of the gp model we use adaptations of two standard path planning methods a and rrt to find safe paths for marine vessels through the modeled areas we evaluate the planned paths and also run a vehicle dynamics simulator to assess potential performance by a marine vessel | [['autonomous', 'underwater', 'vehicles', 'auvs', 'are', 'robotic', 'platforms', 'that', 'are', 'commonly', 'used', 'to', 'map', 'the', 'sea', 'floor', 'for', 'example', 'for', 'benthic', 'surveys', 'or', 'for', 'naval', 'mine', 'countermeasures', 'mcm', 'operations', 'auvs', 'create', 'an', 'acoustic', 'image', 'of', 'the', 'survey', 'area', 'such', 'that', 'objects', 'on', 'the', 'seabed', 'can', 'be', 'identified', 'and', 'in', 'the', 'case', 'of', 'mcm', 'mines', 'can', 'be', 'found', 'and', 'disposed', 'of', 'the', 'common', 'method', 'for', 'creating', 'such', 'seabed', 'maps', 'is', 'to', 'run', 'a', 'lawnmower', 'survey', 'which', 'is', 'a', 'standard', 'method', 'in', 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1,803.00665 | Quantum coarse-grained entropy and thermalization in closed systems | We investigate the detailed properties of Observational entropy, introduced
by \v{S}afr\'{a}nek et al. [Phys. Rev. A 99, 010101 (2019)] as a generalization
of Boltzmann entropy to quantum mechanics. This quantity can involve multiple
coarse-grainings, even those that do not commute with each other, without
losing any of its properties. It is well-defined out of equilibrium, and for
some coarse-grainings it generically rises to the correct thermodynamic value
even in a genuinely isolated quantum system. The quantity contains several
other entropy definitions as special cases, it has interesting
information-theoretic interpretations, and mathematical properties -- such as
extensivity and upper and lower bounds -- suitable for an entropy. Here we
describe and provide proofs for many of its properties, discuss its
interpretation and connection to other quantities, and provide numerous
simulations and analytic arguments supporting the claims of its relationship to
thermodynamic entropy. This quantity may thus provide a clear and well-defined
foundation on which to build a satisfactory understanding of the second
thermodynamical law in quantum mechanics.
| quant-ph cond-mat.quant-gas cond-mat.stat-mech | we investigate the detailed properties of observational entropy introduced by vsafranek et al phys rev a 99 010101 2019 as a generalization of boltzmann entropy to quantum mechanics this quantity can involve multiple coarsegrainings even those that do not commute with each other without losing any of its properties it is welldefined out of equilibrium and for some coarsegrainings it generically rises to the correct thermodynamic value even in a genuinely isolated quantum system the quantity contains several other entropy definitions as special cases it has interesting informationtheoretic interpretations and mathematical properties such as extensivity and upper and lower bounds suitable for an entropy here we describe and provide proofs for many of its properties discuss its interpretation and connection to other quantities and provide numerous simulations and analytic arguments supporting the claims of its relationship to thermodynamic entropy this quantity may thus provide a clear and welldefined foundation on which to build a satisfactory understanding of the second thermodynamical law in quantum mechanics | [['we', 'investigate', 'the', 'detailed', 'properties', 'of', 'observational', 'entropy', 'introduced', 'by', 'vsafranek', 'et', 'al', 'phys', 'rev', 'a', '99', '010101', '2019', 'as', 'a', 'generalization', 'of', 'boltzmann', 'entropy', 'to', 'quantum', 'mechanics', 'this', 'quantity', 'can', 'involve', 'multiple', 'coarsegrainings', 'even', 'those', 'that', 'do', 'not', 'commute', 'with', 'each', 'other', 'without', 'losing', 'any', 'of', 'its', 'properties', 'it', 'is', 'welldefined', 'out', 'of', 'equilibrium', 'and', 'for', 'some', 'coarsegrainings', 'it', 'generically', 'rises', 'to', 'the', 'correct', 'thermodynamic', 'value', 'even', 'in', 'a', 'genuinely', 'isolated', 'quantum', 'system', 'the', 'quantity', 'contains', 'several', 'other', 'entropy', 'definitions', 'as', 'special', 'cases', 'it', 'has', 'interesting', 'informationtheoretic', 'interpretations', 'and', 'mathematical', 'properties', 'such', 'as', 'extensivity', 'and', 'upper', 'and', 'lower', 'bounds', 'suitable', 'for', 'an', 'entropy', 'here', 'we', 'describe', 'and', 'provide', 'proofs', 'for', 'many', 'of', 'its', 'properties', 'discuss', 'its', 'interpretation', 'and', 'connection', 'to', 'other', 'quantities', 'and', 'provide', 'numerous', 'simulations', 'and', 'analytic', 'arguments', 'supporting', 'the', 'claims', 'of', 'its', 'relationship', 'to', 'thermodynamic', 'entropy', 'this', 'quantity', 'may', 'thus', 'provide', 'a', 'clear', 'and', 'welldefined', 'foundation', 'on', 'which', 'to', 'build', 'a', 'satisfactory', 'understanding', 'of', 'the', 'second', 'thermodynamical', 'law', 'in', 'quantum', 'mechanics']] | [-0.09478594918208243, 0.08611324486693016, -0.14076470094304416, 0.09318204988094127, -0.08988567987925436, -0.1563867734933695, 0.10426597110784264, 0.30099707144809645, -0.23028550711099738, -0.3127520935827055, 0.08220718590045588, -0.29668137758678864, -0.1424206213502819, 0.22154751702346068, -0.10089683276743977, 0.07956804660080355, 0.025955275523881972, 0.05423436936993078, -0.08642241723286959, -0.21755670666968896, 0.24249793047819607, 0.08673177627443787, 0.25086812034536415, 0.09762373905517503, 0.07560339228084391, -0.009327784033515063, -0.020934604088335862, 0.05086070198382126, -0.20296973066192522, 0.09466939654793702, 0.23233301687322877, 0.1759518611250571, 0.25445635546787293, -0.41381990263935614, -0.2452847249420257, 0.10834119092113127, 0.08143000902630891, 0.1076278687887568, -0.010019212728723357, -0.2293018879357474, 0.05296449775041932, -0.18481875417548363, -0.1659397342202305, -0.1659160706763116, 0.06752818000847131, -0.016520880725509002, -0.18856230849882966, 0.1090392709161195, 0.12563291727136705, 0.06230104515395781, -0.032327165211153794, -0.08981671653033743, -0.031845391819402116, 0.11164943280306994, 0.01581080952884938, -0.003709586292213869, 0.12312741745320474, -0.11896804716003105, -0.13073958018137588, 0.3688730559971732, -0.004429861444671369, -0.20592058962496695, 0.2544188224731504, -0.11363390151217032, -0.18171235673312394, 0.043146249116826914, 0.09098241043968434, 0.09725934252853718, -0.16054750129614778, 0.07922712581173626, -0.0542161352589635, 0.1298547917719862, 0.05204644587685131, 0.13328023939650574, 0.22878971926730834, 0.06392684681741007, 0.030557222424740647, 0.13560394491776082, 0.008698080497810994, -0.1671190694166616, -0.3414759128829436, -0.23015090793998272, -0.17994120267206987, 0.10904376298638041, -0.0679584348314846, -0.19440042962208734, 0.33464950274538957, 0.17077905399670562, 0.21135271568154126, 0.049567818715939856, 0.2628296674900557, 0.12326205634916247, -0.0025011954166315083, 0.0750947455922713, 0.25766941574612845, 0.1631628049014742, 0.09404713116254818, -0.17220185234934873, 0.0779843214767888, 0.07479750351306119] |
1,803.00666 | Higher order monotonicity and submodularity of influence in social
networks: from local to global | Kempe, Kleinberg and Tardos (KKT) proposed the following conjecture about the
general threshold model in social networks: local monotonicity and
submodularity imply global monotonicity and submodularity. That is, if the
threshold function of every node is monotone and submodular, then the spread
function $\sigma(S)$ is monotone and submodular, where $S$ is a seed set and
the spread function $\sigma(S)$ denotes the expected number of active nodes at
termination of a diffusion process starting from $S$. The correctness of this
conjecture has been proved by Mossel and Roch. In this paper, we first provide
the concept AD-k (Alternating Difference-$k$) as a generalization of
monotonicity and submodularity. Specifically, a set function $f$ is called \adk
if all the $\ell$-th order differences of $f$ on all inputs have sign
$(-1)^{\ell+1}$ for every $\ell\leq k$. Note that AD-1 corresponds to
monotonicity and AD-2 corresponds to monotonicity and submodularity. We propose
a refined version of KKT's conjecture: in the general threshold model, local
AD-k implies global AD-k. The original KKT conjecture corresponds to the case
for AD-2, and the case for AD-1 is the trivial one of local monotonicity
implying global monotonicity. By utilizing continuous extensions of set
functions as well as social graph constructions, we prove the correctness of
our conjecture when the social graph is a directed acyclic graph (DAG).
Furthermore, we affirm our conjecture on general social graphs when $k=\infty$.
| cs.SI cs.DM | kempe kleinberg and tardos kkt proposed the following conjecture about the general threshold model in social networks local monotonicity and submodularity imply global monotonicity and submodularity that is if the threshold function of every node is monotone and submodular then the spread function sigmas is monotone and submodular where s is a seed set and the spread function sigmas denotes the expected number of active nodes at termination of a diffusion process starting from s the correctness of this conjecture has been proved by mossel and roch in this paper we first provide the concept adk alternating differencek as a generalization of monotonicity and submodularity specifically a set function f is called adk if all the ellth order differences of f on all inputs have sign 1ell1 for every ellleq k note that ad1 corresponds to monotonicity and ad2 corresponds to monotonicity and submodularity we propose a refined version of kkts conjecture in the general threshold model local adk implies global adk the original kkt conjecture corresponds to the case for ad2 and the case for ad1 is the trivial one of local monotonicity implying global monotonicity by utilizing continuous extensions of set functions as well as social graph constructions we prove the correctness of our conjecture when the social graph is a directed acyclic graph dag furthermore we affirm our conjecture on general social graphs when kinfty | [['kempe', 'kleinberg', 'and', 'tardos', 'kkt', 'proposed', 'the', 'following', 'conjecture', 'about', 'the', 'general', 'threshold', 'model', 'in', 'social', 'networks', 'local', 'monotonicity', 'and', 'submodularity', 'imply', 'global', 'monotonicity', 'and', 'submodularity', 'that', 'is', 'if', 'the', 'threshold', 'function', 'of', 'every', 'node', 'is', 'monotone', 'and', 'submodular', 'then', 'the', 'spread', 'function', 'sigmas', 'is', 'monotone', 'and', 'submodular', 'where', 's', 'is', 'a', 'seed', 'set', 'and', 'the', 'spread', 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