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1,803.01967 | Learning Scene Gist with Convolutional Neural Networks to Improve Object
Recognition | Advancements in convolutional neural networks (CNNs) have made significant
strides toward achieving high performance levels on multiple object recognition
tasks. While some approaches utilize information from the entire scene to
propose regions of interest, the task of interpreting a particular region or
object is still performed independently of other objects and features in the
image. Here we demonstrate that a scene's 'gist' can significantly contribute
to how well humans can recognize objects. These findings are consistent with
the notion that humans foveate on an object and incorporate information from
the periphery to aid in recognition. We use a biologically inspired two-part
convolutional neural network ('GistNet') that models the fovea and periphery to
provide a proof-of-principle demonstration that computational object
recognition can significantly benefit from the gist of the scene as contextual
information. Our model yields accuracy improvements of up to 50% in certain
object categories when incorporating contextual gist, while only increasing the
original model size by 5%. This proposed model mirrors our intuition about how
the human visual system recognizes objects, suggesting specific biologically
plausible constraints to improve machine vision and building initial steps
towards the challenge of scene understanding.
| cs.CV | advancements in convolutional neural networks cnns have made significant strides toward achieving high performance levels on multiple object recognition tasks while some approaches utilize information from the entire scene to propose regions of interest the task of interpreting a particular region or object is still performed independently of other objects and features in the image here we demonstrate that a scenes gist can significantly contribute to how well humans can recognize objects these findings are consistent with the notion that humans foveate on an object and incorporate information from the periphery to aid in recognition we use a biologically inspired twopart convolutional neural network gistnet that models the fovea and periphery to provide a proofofprinciple demonstration that computational object recognition can significantly benefit from the gist of the scene as contextual information our model yields accuracy improvements of up to 50 in certain object categories when incorporating contextual gist while only increasing the original model size by 5 this proposed model mirrors our intuition about how the human visual system recognizes objects suggesting specific biologically plausible constraints to improve machine vision and building initial steps towards the challenge of scene understanding | [['advancements', 'in', 'convolutional', 'neural', 'networks', 'cnns', 'have', 'made', 'significant', 'strides', 'toward', 'achieving', 'high', 'performance', 'levels', 'on', 'multiple', 'object', 'recognition', 'tasks', 'while', 'some', 'approaches', 'utilize', 'information', 'from', 'the', 'entire', 'scene', 'to', 'propose', 'regions', 'of', 'interest', 'the', 'task', 'of', 'interpreting', 'a', 'particular', 'region', 'or', 'object', 'is', 'still', 'performed', 'independently', 'of', 'other', 'objects', 'and', 'features', 'in', 'the', 'image', 'here', 'we', 'demonstrate', 'that', 'a', 'scenes', 'gist', 'can', 'significantly', 'contribute', 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1,803.01968 | An Online Algorithm for Learning Buyer Behavior under Realistic Pricing
Restrictions | We propose a new efficient online algorithm to learn the parameters governing
the purchasing behavior of a utility maximizing buyer, who responds to prices,
in a repeated interaction setting. The key feature of our algorithm is that it
can learn even non-linear buyer utility while working with arbitrary price
constraints that the seller may impose. This overcomes a major shortcoming of
previous approaches, which use unrealistic prices to learn these parameters
making them unsuitable in practice.
| stat.ML cs.LG econ.EM math.OC | we propose a new efficient online algorithm to learn the parameters governing the purchasing behavior of a utility maximizing buyer who responds to prices in a repeated interaction setting the key feature of our algorithm is that it can learn even nonlinear buyer utility while working with arbitrary price constraints that the seller may impose this overcomes a major shortcoming of previous approaches which use unrealistic prices to learn these parameters making them unsuitable in practice | [['we', 'propose', 'a', 'new', 'efficient', 'online', 'algorithm', 'to', 'learn', 'the', 'parameters', 'governing', 'the', 'purchasing', 'behavior', 'of', 'a', 'utility', 'maximizing', 'buyer', 'who', 'responds', 'to', 'prices', 'in', 'a', 'repeated', 'interaction', 'setting', 'the', 'key', 'feature', 'of', 'our', 'algorithm', 'is', 'that', 'it', 'can', 'learn', 'even', 'nonlinear', 'buyer', 'utility', 'while', 'working', 'with', 'arbitrary', 'price', 'constraints', 'that', 'the', 'seller', 'may', 'impose', 'this', 'overcomes', 'a', 'major', 'shortcoming', 'of', 'previous', 'approaches', 'which', 'use', 'unrealistic', 'prices', 'to', 'learn', 'these', 'parameters', 'making', 'them', 'unsuitable', 'in', 'practice']] | [-0.08899003139844067, 0.01315888845802922, -0.1007627729498046, 0.10037657725440927, -0.24062916825182343, -0.258400303863087, 0.146748886566217, 0.4582055227242802, -0.32011539284384954, -0.31533053123367655, 0.06586580660108379, -0.25712639822220235, -0.17852505725367288, 0.12299378172151353, -0.15766008663922548, 0.06296997017374165, 0.06124382973403523, 0.009463835660809357, 0.005114392288592889, -0.3223118564530619, 0.30091433006485824, 0.08162291112699006, 0.2722752693746435, -0.011264451117695947, 0.13085282012348456, 0.026954945391289106, 0.013003954283991143, -0.013892277303200803, -0.0924309805155453, 0.18023414509125837, 0.35758246960023443, 0.15836657476488894, 0.4459975700041181, -0.4427013575025883, -0.175376315748221, 0.14309816514019316, 0.07051553367637098, 0.08273987455054578, -0.024599028585821782, -0.20943494783224245, 0.008448391546201157, -0.2101629354843968, -0.07996388134473052, -0.11781696083983804, -0.04482290857030373, 0.013035850761010997, -0.3824780390009676, -0.011834504657216664, 0.04118373472518119, -0.0578147372610769, -0.055156083685640046, -0.07790092486692102, 0.022314534252999646, 0.17353550198880074, 0.13661424968526453, -0.022057728247569974, 0.17430156377744616, -0.16945527548791448, -0.15775424204031496, 0.39262761641293764, -0.023940688305485406, -0.17887660211540365, 0.13854328404474808, -0.038275379673761656, -0.130509123475732, 0.10573171631825205, 0.21586325026950554, 0.09592363779972259, -0.19128771399539946, 0.03635806819166694, -0.08080683428009874, 0.18931911775450172, 0.07734373985103478, -0.006116046640703357, 0.18097509362881906, 0.1679591155782538, 0.11931850540598757, 0.09742773614676767, 0.015225237924345205, -0.13764137018619008, -0.2203523059265296, -0.10748732886522223, -0.18293091459322328, 0.062439669861066104, -0.11319714412093163, -0.128760649891391, 0.3731686707438999, 0.2732342942142982, 0.19483681324575292, 0.1131284209860544, 0.36811049588906924, 0.11089903792200953, 0.05105698173007879, 0.13354082145164475, 0.18289118730708173, -0.06431454585522021, 0.13124337390763685, -0.184262356670316, 0.2191451562256062, -0.007050735980125242] |
1,803.01969 | Moment-Based Quantile Sketches for Efficient High Cardinality
Aggregation Queries | Interactive analytics increasingly involves querying for quantiles over
sub-populations of high cardinality datasets. Data processing engines such as
Druid and Spark use mergeable summaries to estimate quantiles, but summary
merge times can be a bottleneck during aggregation. We show how a compact and
efficiently mergeable quantile sketch can support aggregation workloads. This
data structure, which we refer to as the moments sketch, operates with a small
memory footprint (200 bytes) and computationally efficient (50ns) merges by
tracking only a set of summary statistics, notably the sample moments. We
demonstrate how we can efficiently and practically estimate quantiles using the
method of moments and the maximum entropy principle, and show how the use of a
cascade further improves query time for threshold predicates. Empirical
evaluation on real-world datasets shows that the moments sketch can achieve
less than 1 percent error with 15 times less merge overhead than comparable
summaries, improving end query time in the MacroBase engine by up to 7 times
and the Druid engine by up to 60 times.
| cs.DB | interactive analytics increasingly involves querying for quantiles over subpopulations of high cardinality datasets data processing engines such as druid and spark use mergeable summaries to estimate quantiles but summary merge times can be a bottleneck during aggregation we show how a compact and efficiently mergeable quantile sketch can support aggregation workloads this data structure which we refer to as the moments sketch operates with a small memory footprint 200 bytes and computationally efficient 50ns merges by tracking only a set of summary statistics notably the sample moments we demonstrate how we can efficiently and practically estimate quantiles using the method of moments and the maximum entropy principle and show how the use of a cascade further improves query time for threshold predicates empirical evaluation on realworld datasets shows that the moments sketch can achieve less than 1 percent error with 15 times less merge overhead than comparable summaries improving end query time in the macrobase engine by up to 7 times and the druid engine by up to 60 times | [['interactive', 'analytics', 'increasingly', 'involves', 'querying', 'for', 'quantiles', 'over', 'subpopulations', 'of', 'high', 'cardinality', 'datasets', 'data', 'processing', 'engines', 'such', 'as', 'druid', 'and', 'spark', 'use', 'mergeable', 'summaries', 'to', 'estimate', 'quantiles', 'but', 'summary', 'merge', 'times', 'can', 'be', 'a', 'bottleneck', 'during', 'aggregation', 'we', 'show', 'how', 'a', 'compact', 'and', 'efficiently', 'mergeable', 'quantile', 'sketch', 'can', 'support', 'aggregation', 'workloads', 'this', 'data', 'structure', 'which', 'we', 'refer', 'to', 'as', 'the', 'moments', 'sketch', 'operates', 'with', 'a', 'small', 'memory', 'footprint', '200', 'bytes', 'and', 'computationally', 'efficient', '50ns', 'merges', 'by', 'tracking', 'only', 'a', 'set', 'of', 'summary', 'statistics', 'notably', 'the', 'sample', 'moments', 'we', 'demonstrate', 'how', 'we', 'can', 'efficiently', 'and', 'practically', 'estimate', 'quantiles', 'using', 'the', 'method', 'of', 'moments', 'and', 'the', 'maximum', 'entropy', 'principle', 'and', 'show', 'how', 'the', 'use', 'of', 'a', 'cascade', 'further', 'improves', 'query', 'time', 'for', 'threshold', 'predicates', 'empirical', 'evaluation', 'on', 'realworld', 'datasets', 'shows', 'that', 'the', 'moments', 'sketch', 'can', 'achieve', 'less', 'than', '1', 'percent', 'error', 'with', '15', 'times', 'less', 'merge', 'overhead', 'than', 'comparable', 'summaries', 'improving', 'end', 'query', 'time', 'in', 'the', 'macrobase', 'engine', 'by', 'up', 'to', '7', 'times', 'and', 'the', 'druid', 'engine', 'by', 'up', 'to', '60', 'times']] | [-0.05156790950362954, 0.06715301465695067, -0.06415339882266434, 0.11823421696077703, -0.08320432841830873, -0.11685105231042732, 0.12632750628023026, 0.4102531720363699, -0.23980836375233006, -0.3920013166197083, 0.12376973707817823, -0.3207143796388717, -0.04656020695795579, 0.23453951865872916, -0.0813457792487872, 0.04973743128152016, 0.1243466696688248, 0.04277385797296815, -0.06435131270520608, -0.3005895928000374, 0.21192263826070462, 0.07270315620390808, 0.3022522039793651, 0.01684770306079265, 0.09117160319925889, -0.02075185867245583, -0.023718335128882353, 0.004547565216404002, -0.06475195277585846, 0.12641335282858243, 0.28770037985215074, 0.22121330738779815, 0.3080036583041553, -0.4204038413129798, -0.1467129222336499, 0.062252678876907074, 0.16823592559324907, 0.07238436951935429, -0.0345981999005958, -0.2600534581634052, 0.1261369269231663, -0.18609167019124417, -0.002805336951004232, -0.16037535669336864, 0.04086787096662995, 0.030601639580323962, -0.3071343569403432, 0.08120183282367446, 0.043919414594112076, 0.03622422373223612, 0.022947380508241407, -0.1235605583361843, 0.03140504555913674, 0.07429555834764066, 0.014761097405297572, 0.04387365783948232, 0.18506892181056386, -0.09228064985791742, -0.1470274515549296, 0.3527726693845847, -0.04690122660061153, -0.1385947981137125, 0.16059983808081596, -0.09319883124930237, -0.12457294442060897, 0.12175748644889715, 0.23723677677266738, 0.13525014396428187, -0.1507901962767766, 0.010783725998515044, 0.017639110010007723, 0.2524152779713725, 0.08596749335308285, 0.01147279164972989, 0.16294789233738008, 0.22028718583066673, 0.09148947002147051, 0.16615174757487908, -0.10299119172645185, -0.05872790593215648, -0.22713989801294007, -0.15010296544744908, -0.19133356560213383, 0.008968554103664836, -0.18416803803454113, -0.11368421873947442, 0.37503574749126156, 0.25321238229379933, 0.22462750392253786, 0.1586311792523381, 0.3306207906893071, 0.060989954200426036, 0.11162617187467677, 0.16604885103400138, 0.10523404848268804, -0.005897004323025398, 0.1072787053985795, -0.12289485453751267, 0.09596975008710562, 0.035602292336304395] |
1,803.0197 | Existence Results for the Nonlinear Hodge Minimal Surface Energy | Given a compact Riemannian manifold $(M^n,g)$ and a fixed cohomology class,
$[\alpha^*] \in H^k(M)$, we consider the existence of a minimizer $\alpha \in
[\alpha^*]$ of the generalized minimal surface energy $\int_M
\sqrt{1+|\alpha|^2} dV_g$. When $k = 1$, we prove the existence of unique
minimizers for every cohomology class $[\alpha^*]$. Next, when $k > 1$, we
construct examples of singular solutions for finite cohomology class
$[\alpha^*] \in H^k(S^k \times S^k,g)$, where $g$ is conformal to the standard
metric on $S^k \times S^k$. Additionally, we show that when $k=2$, these
singular solutions are also solutions to the Born Infeld equation.
| math.DG | given a compact riemannian manifold mng and a fixed cohomology class alpha in hkm we consider the existence of a minimizer alpha in alpha of the generalized minimal surface energy int_m sqrt1alpha2 dv_g when k 1 we prove the existence of unique minimizers for every cohomology class alpha next when k 1 we construct examples of singular solutions for finite cohomology class alpha in hksk times skg where g is conformal to the standard metric on sk times sk additionally we show that when k2 these singular solutions are also solutions to the born infeld equation | [['given', 'a', 'compact', 'riemannian', 'manifold', 'mng', 'and', 'a', 'fixed', 'cohomology', 'class', 'alpha', 'in', 'hkm', 'we', 'consider', 'the', 'existence', 'of', 'a', 'minimizer', 'alpha', 'in', 'alpha', 'of', 'the', 'generalized', 'minimal', 'surface', 'energy', 'int_m', 'sqrt1alpha2', 'dv_g', 'when', 'k', '1', 'we', 'prove', 'the', 'existence', 'of', 'unique', 'minimizers', 'for', 'every', 'cohomology', 'class', 'alpha', 'next', 'when', 'k', '1', 'we', 'construct', 'examples', 'of', 'singular', 'solutions', 'for', 'finite', 'cohomology', 'class', 'alpha', 'in', 'hksk', 'times', 'skg', 'where', 'g', 'is', 'conformal', 'to', 'the', 'standard', 'metric', 'on', 'sk', 'times', 'sk', 'additionally', 'we', 'show', 'that', 'when', 'k2', 'these', 'singular', 'solutions', 'are', 'also', 'solutions', 'to', 'the', 'born', 'infeld', 'equation']] | [-0.186308307318311, 0.09730550456350963, -0.03535579074860403, 0.10009536990822342, -0.06307309702970088, -0.1935258087113892, -0.005602585739995304, 0.30804108375879496, -0.27777886067173985, -0.19519739566664945, 0.10527541009329358, -0.32775325501631747, -0.14331592737059845, 0.15568538029972268, -0.05410088972237549, 0.023094517051389343, 0.026616970047746834, 0.13526875921770146, -0.08670469882996067, -0.24325123600122567, 0.39844185159247564, -0.09870492304846841, 0.14746670527873854, 0.03664154920138811, 0.09531967705115676, -0.04238220311358179, 0.07678246425562783, 0.030685325596775663, -0.2706341060887146, 0.05408638063818216, 0.27214617667670704, 0.06281232723329021, 0.23687718055750195, -0.3279021567257587, -0.16831373779201195, 0.23228290632955337, 0.08269986243134267, -0.0125357743573228, -0.00951559836363518, -0.2633903708406969, 0.21102388840119699, -0.11845630364198434, -0.21998576689511537, -0.06531129163248758, 0.09716990204331906, 0.026024785672167414, -0.2850046068626015, 0.036934321057235237, 0.06677696900442243, 0.009582803241516414, -0.12604379649519137, -0.12210424846332324, -0.03078231683589126, 0.025368999726273805, 0.02780232148759655, 0.06038740894414092, 0.0641118999809566, -0.09511615074190655, -0.05571350864085712, 0.34317188853594033, -0.1390584474478505, -0.2405072920220463, 0.07861103963989176, -0.17671988341761263, -0.22304478650912643, 0.12416870891343262, 0.08723928362229152, 0.20969749558226844, -0.05311135085480361, 0.23636724578253435, -0.07379629689415819, 0.1258353650275814, 0.09587999641601193, -0.04148672335340004, 0.09075302583606619, 0.09191563095603335, 0.16908804614979187, 0.0848388831670347, -0.041701420698020804, -0.042038234480117495, -0.38817995186699067, -0.1972648622272046, -0.15464243725138274, 0.20523087124487288, -0.1679619159400892, -0.16748407219389552, 0.3535020955936297, 0.03292324234850974, 0.15177724253582328, 0.15738364530629234, 0.16577899349167158, 0.09866946948888271, -0.012251273176240685, 0.13939125696197152, 0.1571318362937554, 0.12748096070105308, 0.00520252550976645, -0.1543612658046186, -0.07406641242927627, 0.18886597530034027] |
1,803.01971 | Exoplanets Torqued by the Combined Tides of a Moon and Parent Star | In recent years, there has been interest in Earth-like exoplanets in the
habitable zones of low mass stars ($\sim0.1-0.6\,M_\odot$). Furthermore, it has
been argued that a large moon may be important for stabilizing conditions on a
planet for life. If these two features are combined, then an exoplanet can feel
a similar tidal influence from both its moon and parent star, leading to
potentially interesting dynamics. The moon's orbital evolution depends on the
exoplanet's initial spin period $P_0$. When $P_0$ is small, transfer of the
exoplanet's angular momentum to the moon's orbit can cause the moon to migrate
outward sufficiently to be stripped by the star. When $P_0$ is large, the moon
migrates less and the star's tidal torques spin down the exoplanet. Tidal
interactions then cause the moon to migrate inward until it is likely tidally
disrupted by the exoplanet and potentially produces rings. While one may think
that these findings preclude the presence of moons for the exoplanets of low
mass stars, in fact a wide range of timescales are found for the loss or
destruction of the moon; it can take $\sim10^6-10^{10}\,{\rm yrs}$ depending on
the system parameters. When the moon is still present, the combined tidal
torques force the exoplanet to spin asynchronously with respect to both its
moon and parent star, which tidally heats the exoplanet. This can produce heat
fluxes comparable to those currently coming through the Earth, arguing that
combined tides may be a method for driving tectonic activity in exoplanets.
| astro-ph.EP | in recent years there has been interest in earthlike exoplanets in the habitable zones of low mass stars sim0106m_odot furthermore it has been argued that a large moon may be important for stabilizing conditions on a planet for life if these two features are combined then an exoplanet can feel a similar tidal influence from both its moon and parent star leading to potentially interesting dynamics the moons orbital evolution depends on the exoplanets initial spin period p_0 when p_0 is small transfer of the exoplanets angular momentum to the moons orbit can cause the moon to migrate outward sufficiently to be stripped by the star when p_0 is large the moon migrates less and the stars tidal torques spin down the exoplanet tidal interactions then cause the moon to migrate inward until it is likely tidally disrupted by the exoplanet and potentially produces rings while one may think that these findings preclude the presence of moons for the exoplanets of low mass stars in fact a wide range of timescales are found for the loss or destruction of the moon it can take sim1061010rm yrs depending on the system parameters when the moon is still present the combined tidal torques force the exoplanet to spin asynchronously with respect to both its moon and parent star which tidally heats the exoplanet this can produce heat fluxes comparable to those currently coming through the earth arguing that combined tides may be a method for driving tectonic activity in exoplanets | [['in', 'recent', 'years', 'there', 'has', 'been', 'interest', 'in', 'earthlike', 'exoplanets', 'in', 'the', 'habitable', 'zones', 'of', 'low', 'mass', 'stars', 'sim0106m_odot', 'furthermore', 'it', 'has', 'been', 'argued', 'that', 'a', 'large', 'moon', 'may', 'be', 'important', 'for', 'stabilizing', 'conditions', 'on', 'a', 'planet', 'for', 'life', 'if', 'these', 'two', 'features', 'are', 'combined', 'then', 'an', 'exoplanet', 'can', 'feel', 'a', 'similar', 'tidal', 'influence', 'from', 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1,803.01972 | SysML/KAOS Domain Models and B System Specifications | In this paper, we use a combination of the SysML/KAOS requirements
engineering method, an extension of SysML, with concepts of the KAOS goal
model, and of the B System formal method. Translation rules from a SysML/KAOS
goal model to a B System specification have been defined. They allow to obtain
a skeleton of the B System specification. To complete it, we have defined a
language to express the domain model associated to the goal model. The
translation of this domain model gives the structural part of the B System
specification. The contribution of this paper is the description of translation
rules from SysML/KAOS domain models to B System specifications. We also present
the formal verification of these rules and we describe an open source tool that
implements the languages and the rules. Finally, we provide a review of the
application of the SysML/KAOS method on case studies such as for the formal
specification of the hybrid ERTMS/ETCS level 3 standard.
| cs.SE | in this paper we use a combination of the sysmlkaos requirements engineering method an extension of sysml with concepts of the kaos goal model and of the b system formal method translation rules from a sysmlkaos goal model to a b system specification have been defined they allow to obtain a skeleton of the b system specification to complete it we have defined a language to express the domain model associated to the goal model the translation of this domain model gives the structural part of the b system specification the contribution of this paper is the description of translation rules from sysmlkaos domain models to b system specifications we also present the formal verification of these rules and we describe an open source tool that implements the languages and the rules finally we provide a review of the application of the sysmlkaos method on case studies such as for the formal specification of the hybrid ertmsetcs level 3 standard | [['in', 'this', 'paper', 'we', 'use', 'a', 'combination', 'of', 'the', 'sysmlkaos', 'requirements', 'engineering', 'method', 'an', 'extension', 'of', 'sysml', 'with', 'concepts', 'of', 'the', 'kaos', 'goal', 'model', 'and', 'of', 'the', 'b', 'system', 'formal', 'method', 'translation', 'rules', 'from', 'a', 'sysmlkaos', 'goal', 'model', 'to', 'a', 'b', 'system', 'specification', 'have', 'been', 'defined', 'they', 'allow', 'to', 'obtain', 'a', 'skeleton', 'of', 'the', 'b', 'system', 'specification', 'to', 'complete', 'it', 'we', 'have', 'defined', 'a', 'language', 'to', 'express', 'the', 'domain', 'model', 'associated', 'to', 'the', 'goal', 'model', 'the', 'translation', 'of', 'this', 'domain', 'model', 'gives', 'the', 'structural', 'part', 'of', 'the', 'b', 'system', 'specification', 'the', 'contribution', 'of', 'this', 'paper', 'is', 'the', 'description', 'of', 'translation', 'rules', 'from', 'sysmlkaos', 'domain', 'models', 'to', 'b', 'system', 'specifications', 'we', 'also', 'present', 'the', 'formal', 'verification', 'of', 'these', 'rules', 'and', 'we', 'describe', 'an', 'open', 'source', 'tool', 'that', 'implements', 'the', 'languages', 'and', 'the', 'rules', 'finally', 'we', 'provide', 'a', 'review', 'of', 'the', 'application', 'of', 'the', 'sysmlkaos', 'method', 'on', 'case', 'studies', 'such', 'as', 'for', 'the', 'formal', 'specification', 'of', 'the', 'hybrid', 'ertmsetcs', 'level', '3', 'standard']] | [-0.10284045426454688, -0.02385817078486196, -0.1017630450579824, 0.02792767476991153, -0.09195411645766324, -0.09982961895963494, 0.08508613767723243, 0.3569931565262612, -0.2944571399657091, -0.30056921322976454, 0.10331892653781358, -0.23284580834127916, -0.1447017018700827, 0.17095210425315555, -0.08077901345238371, 0.0739515945549656, 0.05750215653646386, 0.04244646191931587, -0.03702165558568126, -0.18320276213915282, 0.3184949663180694, 0.010539145320185326, 0.27662555062440486, 0.0325573180544442, 0.10129034380961514, -0.0014505306472591822, -0.04071476580223666, -0.006783193847129367, -0.12724258707208982, 0.1737178394559232, 0.22854336608983683, 0.23900060552031785, 0.2602409629075079, -0.3864699074846206, -0.14080311544678825, 0.053715749878770196, 0.08351769671356599, 0.11139594147321563, 0.02021733093303892, -0.27506177721738395, 0.1055337510089267, -0.2453116419660689, -0.11208497038778831, -0.10762966909217385, -0.0006281399349652746, 0.005663343362580493, -0.2631844439911334, -0.037511060633967516, 0.1670930358147799, 0.113171018964652, -0.07730857406760443, -0.07975551033899211, 0.02039121861683802, 0.15532348132780138, 0.021315521051749914, 0.07677901689488142, 0.08882549777041254, -0.11328787438764747, -0.1434221572049384, 0.4103418062880354, -0.0658025114797788, -0.23488563061369666, 0.21693516206347718, -0.07558052058466389, -0.17723724975853972, 0.04428637288393652, 0.19664514676884473, 0.1049692943170901, -0.196521775023836, 0.12191813690888069, -0.03610926222732677, 0.19231386078776405, -0.012512301851895714, -0.01216626502632064, 0.20259574415460932, 0.22983640541304956, 0.007059262301069948, 0.16137775274450486, -0.020863646675419626, -0.05703677973012973, -0.35785576755052095, -0.17689503830968864, -0.11063252620065128, -0.017586226206061976, -0.004335159915898423, -0.18132579964204873, 0.4258922928909086, 0.19541716148619945, 0.1518460652335553, 0.07646458556746724, 0.29189184532902035, 0.1115231184210517, 0.0755695748708867, 0.014323325294696685, 0.1517058639529413, 0.09219608137987366, 0.12874795161129074, -0.1807916695954946, 0.052788469796918286, 0.07817112669090992] |
1,803.01973 | The enzyme-like catalytic activity of cerium oxide nanoparticles and its
dependency on Ce3+ surface area concentration | Cerium oxide nanoparticles are known to catalyze the decomposition of
reactive oxygen species such as superoxide radical and hydrogen peroxide.
Herein, we examine the superoxide dismutase (SOD) and catalase (CAT) mimetic
catalytic activities of nanoceria and demonstrate the existence of generic
behaviors. For particles of size 4.5, 7.8, 23 and 28 nm, the SOD and CAT
catalytic activities exhibit the characteristic shape of a Langmuir isotherm as
a function of cerium concentration. Results show that the catalytic effects are
enhanced for smaller particles and for the particles with the largest Ce3+
fraction. The SOD-like activity obtained from the different samples is found to
superimpose on a single master curve using the Ce3+ surface area concentration
as a new variable, indicating the existence of particle independent redox
mechanisms. For the CAT assays the adsorption of H2O2 molecules at the particle
surface modulates the efficacy of the decomposition process and must be taken
into account. We design an amperometry-based experiment to evaluate the H2O2
adsorption at nanoceria surfaces, leading to the renormalization of the
particle specific area. Depending on the particle type the amount of adsorbed
H2O2 molecules varies from 2 to 20 nm-2. The proposed scalings are predictive
and allow determining SOD and CAT catalytic properties of cerium oxide solely
from physico-chemical features.
| cond-mat.mtrl-sci | cerium oxide nanoparticles are known to catalyze the decomposition of reactive oxygen species such as superoxide radical and hydrogen peroxide herein we examine the superoxide dismutase sod and catalase cat mimetic catalytic activities of nanoceria and demonstrate the existence of generic behaviors for particles of size 45 78 23 and 28 nm the sod and cat catalytic activities exhibit the characteristic shape of a langmuir isotherm as a function of cerium concentration results show that the catalytic effects are enhanced for smaller particles and for the particles with the largest ce3 fraction the sodlike activity obtained from the different samples is found to superimpose on a single master curve using the ce3 surface area concentration as a new variable indicating the existence of particle independent redox mechanisms for the cat assays the adsorption of h2o2 molecules at the particle surface modulates the efficacy of the decomposition process and must be taken into account we design an amperometrybased experiment to evaluate the h2o2 adsorption at nanoceria surfaces leading to the renormalization of the particle specific area depending on the particle type the amount of adsorbed h2o2 molecules varies from 2 to 20 nm2 the proposed scalings are predictive and allow determining sod and cat catalytic properties of cerium oxide solely from physicochemical features | [['cerium', 'oxide', 'nanoparticles', 'are', 'known', 'to', 'catalyze', 'the', 'decomposition', 'of', 'reactive', 'oxygen', 'species', 'such', 'as', 'superoxide', 'radical', 'and', 'hydrogen', 'peroxide', 'herein', 'we', 'examine', 'the', 'superoxide', 'dismutase', 'sod', 'and', 'catalase', 'cat', 'mimetic', 'catalytic', 'activities', 'of', 'nanoceria', 'and', 'demonstrate', 'the', 'existence', 'of', 'generic', 'behaviors', 'for', 'particles', 'of', 'size', '45', '78', '23', 'and', '28', 'nm', 'the', 'sod', 'and', 'cat', 'catalytic', 'activities', 'exhibit', 'the', 'characteristic', 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1,803.01974 | Pro-arrhythmogenic effects of heterogeneous tissue curvature: A
suggestion for role of left atrial appendage in atrial fibrillation | Background: The arrhythmogenic role of atrial complex morphology has not yet
been clearly elucidated. We hypothesized that bumpy tissue geometry can induce
action potential duration (APD) dispersion and wavebreak in atrial fibrillation
(AF).
Methods and Results: We simulated 2D-bumpy atrial model by varying the degree
of bumpiness, and 3D-left atrial (LA) models integrated by LA computed
tomographic (CT) images taken from 14 patients with persistent AF. We also
analyzed wave-dynamic parameters with bipolar electrograms during AF and
compared them with LA-CT geometry in 30 patients with persistent AF. In
2D-bumpy model, APD dispersion increased (p<0.001) and wavebreak occurred
spontaneously when the surface bumpiness was higher, showing phase
transition-like behavior (p<0.001). Bumpiness gradient 2D-model showed that
spiral wave drifted in the direction of higher bumpiness, and phase singularity
(PS) points were mostly located in areas with higher bumpiness. In 3D-LA model,
PS density was higher in LA appendage (LAA) compared to other LA parts
(p<0.05). In 30 persistent AF patients, the surface bumpiness of LAA was
5.8-times that of other LA parts (p<0.001), and exceeded critical bumpiness to
induce wavebreak. Wave dynamics complexity parameters were consistently
dominant in LAA (p<0.001).
Conclusion: The bumpy tissue geometry promotes APD dispersion, wavebreak, and
spiral wave drift in in silico human atrial tissue, and corresponds to clinical
electro-anatomical maps.
| q-bio.TO physics.bio-ph | background the arrhythmogenic role of atrial complex morphology has not yet been clearly elucidated we hypothesized that bumpy tissue geometry can induce action potential duration apd dispersion and wavebreak in atrial fibrillation af methods and results we simulated 2dbumpy atrial model by varying the degree of bumpiness and 3dleft atrial la models integrated by la computed tomographic ct images taken from 14 patients with persistent af we also analyzed wavedynamic parameters with bipolar electrograms during af and compared them with lact geometry in 30 patients with persistent af in 2dbumpy model apd dispersion increased p0001 and wavebreak occurred spontaneously when the surface bumpiness was higher showing phase transitionlike behavior p0001 bumpiness gradient 2dmodel showed that spiral wave drifted in the direction of higher bumpiness and phase singularity ps points were mostly located in areas with higher bumpiness in 3dla model ps density was higher in la appendage laa compared to other la parts p005 in 30 persistent af patients the surface bumpiness of laa was 58times that of other la parts p0001 and exceeded critical bumpiness to induce wavebreak wave dynamics complexity parameters were consistently dominant in laa p0001 conclusion the bumpy tissue geometry promotes apd dispersion wavebreak and spiral wave drift in in silico human atrial tissue and corresponds to clinical electroanatomical maps | [['background', 'the', 'arrhythmogenic', 'role', 'of', 'atrial', 'complex', 'morphology', 'has', 'not', 'yet', 'been', 'clearly', 'elucidated', 'we', 'hypothesized', 'that', 'bumpy', 'tissue', 'geometry', 'can', 'induce', 'action', 'potential', 'duration', 'apd', 'dispersion', 'and', 'wavebreak', 'in', 'atrial', 'fibrillation', 'af', 'methods', 'and', 'results', 'we', 'simulated', '2dbumpy', 'atrial', 'model', 'by', 'varying', 'the', 'degree', 'of', 'bumpiness', 'and', '3dleft', 'atrial', 'la', 'models', 'integrated', 'by', 'la', 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1,803.01975 | Exponential Riordan arrays and generalized Narayana polynomials | Generalized Euler polynomials ${{\alpha }_{n}}\left( x \right)={{\left( 1-x
\right)}^{n+1}}\sum\nolimits_{m=0}^{\infty }{{{p}_{n}}}\left( m
\right){{x}^{m}}$, where ${{p}_{n}}\left( x \right)$ is the polynomial of
degree $n$, are the numerator polynomials of the generating functions of
diagonals of the ordinary Riordan arrays. Generalized Narayana polynomials
${{\varphi }_{n}}\left( x \right)={{\left( 1-x
\right)}^{2n+1}}\sum\nolimits_{m=0}^{\infty }{\left( m+1 \right)...\left( m+n
\right){{p}_{n}}}\left( m \right){{x}^{m}}$ are the numerator polynomials of
the generating functions of diagonals of the exponential Riordan arrays. In
present paper we consider the constructive relationship between these two types
of numerator polynomials.
| math.NT | generalized euler polynomials alpha _nleft x rightleft 1x rightn1sumnolimits_m0infty p_nleft m rightxm where p_nleft x right is the polynomial of degree n are the numerator polynomials of the generating functions of diagonals of the ordinary riordan arrays generalized narayana polynomials varphi _nleft x rightleft 1x right2n1sumnolimits_m0infty left m1 rightleft mn rightp_nleft m rightxm are the numerator polynomials of the generating functions of diagonals of the exponential riordan arrays in present paper we consider the constructive relationship between these two types of numerator polynomials | [['generalized', 'euler', 'polynomials', 'alpha', '_nleft', 'x', 'rightleft', '1x', 'rightn1sumnolimits_m0infty', 'p_nleft', 'm', 'rightxm', 'where', 'p_nleft', 'x', 'right', 'is', 'the', 'polynomial', 'of', 'degree', 'n', 'are', 'the', 'numerator', 'polynomials', 'of', 'the', 'generating', 'functions', 'of', 'diagonals', 'of', 'the', 'ordinary', 'riordan', 'arrays', 'generalized', 'narayana', 'polynomials', 'varphi', '_nleft', 'x', 'rightleft', '1x', 'right2n1sumnolimits_m0infty', 'left', 'm1', 'rightleft', 'mn', 'rightp_nleft', 'm', 'rightxm', 'are', 'the', 'numerator', 'polynomials', 'of', 'the', 'generating', 'functions', 'of', 'diagonals', 'of', 'the', 'exponential', 'riordan', 'arrays', 'in', 'present', 'paper', 'we', 'consider', 'the', 'constructive', 'relationship', 'between', 'these', 'two', 'types', 'of', 'numerator', 'polynomials']] | [-0.3079312262066369, 0.1508828739523652, 0.04211531534696682, 0.04618424934753559, -0.042049937759219565, -0.16901016495886106, -0.040736696407305005, 0.2992372874146964, -0.3466585162036781, -0.1591927215966832, 0.004101410488998871, -0.3402436789614443, -0.17385519990001957, 0.1005410549077618, -0.024234732565811917, 0.004234356032036056, -0.10120134188828966, -0.004505937093798118, -0.1568042493507832, -0.344127090164472, 0.2986196442212485, -0.09417361825339118, 0.11407231768192369, -0.0471421480178833, 0.14068491476340383, -0.032507926060617726, -0.010971688358938391, -0.1192417544772542, -0.14034083855774585, 0.08939598544642235, 0.25596649911773356, 0.08625431547436534, 0.17949211243775826, -0.3585769351147398, 0.04948016034462784, 0.2146712317119671, 0.19131212949139786, -0.16470665562473522, 0.048568006958576694, -0.20846766679064382, 0.06825468617585735, -0.12603292664195428, -0.20436066946698517, -0.0029381731483802387, 0.0917770096301278, 0.17188148115631902, -0.3432917847191986, 0.01826383741690388, 0.11680731332943409, 0.09609967479010738, 0.11928834412482721, -0.2975202988173011, -0.0025395111039375204, 0.017428328224186655, 0.008701961995927687, 0.034944578739991294, -0.023977974724448934, -0.09042107425276426, -0.10344847136684045, 0.3229228230782702, 0.007718601676670811, -0.25477079723820184, -0.011078629566097184, -0.2783380446931984, -0.16781645597111952, 0.12907382931937522, 0.06672435563906462, 0.18642485811363294, -0.021106609968539282, 0.23292037865288462, -0.19190728930827183, 0.10463762602804205, 0.2571982089312205, 0.03380854752009051, 0.1417971482924834, -0.049818731632225124, 0.003104416264480428, 0.1649630484318573, 0.013699381559191249, -0.011353788490678314, -0.32825319841504097, -0.19205850732948962, -0.18455865311353833, 0.1048876255711237, -0.2141560522155671, -0.1953470099104356, 0.3775286827990903, -0.00017580392334280134, 0.17403477057814598, 0.16414948174423433, 0.1800186139313339, 0.15995127299824094, -0.0061843435786947416, -0.03245091595794914, 0.0003768572984616968, 0.24654180462224573, 0.024030868011184887, -0.1612470388011653, 0.04012248788877756, 0.2788631633466369] |
1,803.01976 | An infinite family of congruences arising from a second order mock theta
function | Let $\beta(q)=\sum_{n\ge 0} \mathfrak{b}(n)q^n$ be a second order mock theta
function defined by $$\sum_{n\ge
0}\frac{q^{n(n+1)}(-q^2;q^2)_n}{(q;q^2)_{n+1}^2}.$$ In this paper, we obtain an
infinite family of congruences modulo powers of $3$ for $\mathfrak{b}(n)$.
| math.NT | let betaqsum_nge 0 mathfrakbnqn be a second order mock theta function defined by sum_nge 0fracqnn1q2q2_nqq2_n12 in this paper we obtain an infinite family of congruences modulo powers of 3 for mathfrakbn | [['let', 'betaqsum_nge', '0', 'mathfrakbnqn', 'be', 'a', 'second', 'order', 'mock', 'theta', 'function', 'defined', 'by', 'sum_nge', '0fracqnn1q2q2_nqq2_n12', 'in', 'this', 'paper', 'we', 'obtain', 'an', 'infinite', 'family', 'of', 'congruences', 'modulo', 'powers', 'of', '3', 'for', 'mathfrakbn']] | [-0.21851147049003178, 0.1166145694835534, -0.06663097537778041, 0.0061316510653813125, -0.07940888497978449, -0.06431229562602109, -0.029562591950202152, 0.28207864001807237, -0.33122010639420263, -0.27293451213174397, 0.0657647748745081, -0.28930852589783845, -0.13394569177008062, 0.21043150226964993, -0.017934561293158267, 0.013795156721715574, -0.09687306635357716, 0.07159580455885993, -0.12708405920959734, -0.30012087730897796, 0.4137628156070908, -0.05035931492845217, 0.06387851580425545, -0.03302317975019967, 0.10448677185922861, 0.004067243098419298, 0.04124286425886331, -0.040440904847518715, -0.24484649103962713, 0.09160611071382407, 0.30807059482429866, 0.07930635653988079, 0.31103194484280217, -0.32019215256527617, -0.08051017026796385, 0.22376014475055314, 0.207981842742474, -0.09509521902159408, 0.03843730550121378, -0.2175303889369523, 0.19621522010614476, -0.23364443828662237, -0.23203540581312995, -0.1092900065360246, 0.07658556579715675, 0.08660325180325243, -0.3932058302409671, 0.02929616226228299, 0.11077073968395039, 0.15256612261550295, -0.0019237604682092314, -0.1303684099542874, 0.06573664831618468, 0.03000302273021252, 0.005069840147539422, 0.11983145321546881, -0.0754824368869541, -0.09451421083778971, -0.11948695737454626, 0.3467584525265179, -0.06573194419292526, -0.22450481727719307, -0.042362832809212034, -0.20826803232301716, -0.17384749692347315, 0.08757743915473973, 0.15568362497207192, 0.22954484316761847, -0.04961223231145629, 0.18105773796775826, -0.08890465557299278, 0.19151755311974772, 0.18520777327594934, -0.0718311209714523, 0.1440484403046193, 0.003447662900995325, 0.030998871351281803, 0.2360664617434075, -0.00343028640512515, 0.10299312153882864, -0.4081629956210101, -0.20941273785299724, -0.16581734745866722, 0.22760765944366101, -0.15981104060214152, -0.16821094798958963, 0.35629202025356116, 0.07165872697132053, 0.20055744562436034, 0.2168697068053815, 0.17244148689011732, 0.1950786904263724, -0.004135914302120606, 0.022510982084053534, 0.015492830986019087, 0.14836063648194628, -0.04392516012820932, -0.050650307987342345, -0.011276131340612968, 0.17825724608782265] |
1,803.01977 | Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation | Photons are weak particles that do not directly couple to magnetic fields.
However, it is possible to generate a photonic gauge field by breaking
reciprocity such that the phase of light depends on its direction of
propagation. This non-reciprocal phase indicates the presence of an effective
magnetic field for the light itself. By suitable tailoring of this phase it is
possible to demonstrate quantum effects typically associated with electrons,
and as has been recently shown, non-trivial topological properties of light.
This paper reviews dynamic modulation as a process for breaking the
time-reversal symmetry of light and generating a synthetic gauge field, and
discusses its role in topological photonics, as well as recent developments in
exploring topological photonics in higher dimensions.
| physics.optics | photons are weak particles that do not directly couple to magnetic fields however it is possible to generate a photonic gauge field by breaking reciprocity such that the phase of light depends on its direction of propagation this nonreciprocal phase indicates the presence of an effective magnetic field for the light itself by suitable tailoring of this phase it is possible to demonstrate quantum effects typically associated with electrons and as has been recently shown nontrivial topological properties of light this paper reviews dynamic modulation as a process for breaking the timereversal symmetry of light and generating a synthetic gauge field and discusses its role in topological photonics as well as recent developments in exploring topological photonics in higher dimensions | [['photons', 'are', 'weak', 'particles', 'that', 'do', 'not', 'directly', 'couple', 'to', 'magnetic', 'fields', 'however', 'it', 'is', 'possible', 'to', 'generate', 'a', 'photonic', 'gauge', 'field', 'by', 'breaking', 'reciprocity', 'such', 'that', 'the', 'phase', 'of', 'light', 'depends', 'on', 'its', 'direction', 'of', 'propagation', 'this', 'nonreciprocal', 'phase', 'indicates', 'the', 'presence', 'of', 'an', 'effective', 'magnetic', 'field', 'for', 'the', 'light', 'itself', 'by', 'suitable', 'tailoring', 'of', 'this', 'phase', 'it', 'is', 'possible', 'to', 'demonstrate', 'quantum', 'effects', 'typically', 'associated', 'with', 'electrons', 'and', 'as', 'has', 'been', 'recently', 'shown', 'nontrivial', 'topological', 'properties', 'of', 'light', 'this', 'paper', 'reviews', 'dynamic', 'modulation', 'as', 'a', 'process', 'for', 'breaking', 'the', 'timereversal', 'symmetry', 'of', 'light', 'and', 'generating', 'a', 'synthetic', 'gauge', 'field', 'and', 'discusses', 'its', 'role', 'in', 'topological', 'photonics', 'as', 'well', 'as', 'recent', 'developments', 'in', 'exploring', 'topological', 'photonics', 'in', 'higher', 'dimensions']] | [-0.1648558979378625, 0.24725497245975323, -0.056288544721125315, 0.037390249072708076, -0.13141795098781586, -0.11697110239571581, 0.0011989975881685191, 0.4093362015672028, -0.2615253715387856, -0.31252947013296456, 0.07275985204323661, -0.23523072768002748, -0.20761423589040837, 0.20442941853252705, -0.02675821371958591, 0.05979261687316466, -0.05445104083822419, -0.006860677820319931, -0.06054755697938769, -0.20406069504097105, 0.3026556934346445, 0.0265791060354483, 0.3334458483266644, 0.11168336624396033, 0.09312215905326109, 0.03246636136124532, 0.01656402657778623, -0.004567688901443034, -0.04492484742913803, 0.07856965192283193, 0.19277347164073338, 0.029854381567565723, 0.19628423086057106, -0.44313040571287277, -0.29153780345028885, 0.09279923746944405, 0.15373334617276366, 0.15306148058346783, -0.13805702092067804, -0.3077790968120098, 0.06905866138016184, -0.11407885965503131, -0.1574848489855261, -0.12329945976380259, 0.030089704084093682, -0.015928595100316065, -0.22407064409344457, 0.030125641728470025, 0.06386025857063941, 0.08237173453283807, 0.010515221163708096, -0.026092132627187917, -0.05488165082448783, 0.07323182795274381, 0.09745531280520178, 0.07738103010342456, 0.1159022111921028, -0.18904583522768614, -0.15969465213517348, 0.4241815745830536, -0.04242813835832446, -0.14313091310517242, 0.17851118580341183, -0.10895268722063824, -0.10242457103449851, 0.12047217334232603, 0.1824925897332529, 0.09692036458291113, -0.12128304862805332, 0.10390991175712164, -0.007751616012925903, 0.1538800260478941, 0.025287280802149325, 0.13928819299520304, 0.27603187007286273, 0.15178194555919616, 0.05134886156495971, 0.1412830144438582, -0.05625689282945435, -0.07729706566412158, -0.29615761306292065, -0.20633665369047474, -0.21096666120380783, 0.05808525419573319, -0.03625106094999258, -0.16974569763090888, 0.43184065657357373, 0.18064714358964315, 0.1652944413595833, -0.06647367003994684, 0.2946753964216138, 0.12532543457928114, 0.0915808675189813, 0.00972115935292095, 0.31087827375837757, 0.17894469211266065, 0.11754190876381472, -0.21607300186684977, 0.012561703000877363, 0.0012667641528726866] |
1,803.01978 | Learning Task-Specific Dynamics to Improve Whole-Body Control | In task-based inverse dynamics control, reference accelerations used to
follow a desired plan can be broken down into feedforward and feedback
trajectories. The feedback term accounts for tracking errors that are caused
from inaccurate dynamic models or external disturbances. On underactuated,
free-floating robots, such as humanoids, good tracking accuracy often
necessitates high feedback gains, which leads to undesirable stiff behaviors.
The magnitude of these gains is anyways often strongly limited by the control
bandwidth. In this paper, we show how to reduce the required contribution of
the feedback controller by incorporating learned task-space reference
accelerations. Thus, we i) improve the execution of the given specific task,
and ii) offer the means to reduce feedback gains, providing for greater
compliance of the system. %With a systematic approach we also reduce heuristic
tuning of the model parameters and feedback gains, often present in real-world
experiments. In contrast to learning task-specific joint-torques, which might
produce a similar effect but can lead to poor generalization, our approach
directly learns the task-space dynamics of the center of mass of a humanoid
robot. Simulated and real-world results on the lower part of the Sarcos Hermes
humanoid robot demonstrate the applicability of the approach.
| cs.RO | in taskbased inverse dynamics control reference accelerations used to follow a desired plan can be broken down into feedforward and feedback trajectories the feedback term accounts for tracking errors that are caused from inaccurate dynamic models or external disturbances on underactuated freefloating robots such as humanoids good tracking accuracy often necessitates high feedback gains which leads to undesirable stiff behaviors the magnitude of these gains is anyways often strongly limited by the control bandwidth in this paper we show how to reduce the required contribution of the feedback controller by incorporating learned taskspace reference accelerations thus we i improve the execution of the given specific task and ii offer the means to reduce feedback gains providing for greater compliance of the system with a systematic approach we also reduce heuristic tuning of the model parameters and feedback gains often present in realworld experiments in contrast to learning taskspecific jointtorques which might produce a similar effect but can lead to poor generalization our approach directly learns the taskspace dynamics of the center of mass of a humanoid robot simulated and realworld results on the lower part of the sarcos hermes humanoid robot demonstrate the applicability of the approach | [['in', 'taskbased', 'inverse', 'dynamics', 'control', 'reference', 'accelerations', 'used', 'to', 'follow', 'a', 'desired', 'plan', 'can', 'be', 'broken', 'down', 'into', 'feedforward', 'and', 'feedback', 'trajectories', 'the', 'feedback', 'term', 'accounts', 'for', 'tracking', 'errors', 'that', 'are', 'caused', 'from', 'inaccurate', 'dynamic', 'models', 'or', 'external', 'disturbances', 'on', 'underactuated', 'freefloating', 'robots', 'such', 'as', 'humanoids', 'good', 'tracking', 'accuracy', 'often', 'necessitates', 'high', 'feedback', 'gains', 'which', 'leads', 'to', 'undesirable', 'stiff', 'behaviors', 'the', 'magnitude', 'of', 'these', 'gains', 'is', 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1,803.01979 | A Virtual Element Method for the Transmission Eigenvalue Problem | In this paper, we analyze a virtual element method (VEM) for solving a
non-selfadjoint fourth-order eigenvalue problem derived from the transmission
eigenvalue problem. We write a variational formulation and propose a
$C^1$-conforming discretization by means of the VEM. We use the classical
approximation theory for compact non-selfadjoint operators to obtain optimal
order error estimates for the eigenfunctions and a double order for the
eigenvalues. Finally, we present some numerical experiments illustrating the
behavior of the virtual scheme on different families of meshes.
| math.NA | in this paper we analyze a virtual element method vem for solving a nonselfadjoint fourthorder eigenvalue problem derived from the transmission eigenvalue problem we write a variational formulation and propose a c1conforming discretization by means of the vem we use the classical approximation theory for compact nonselfadjoint operators to obtain optimal order error estimates for the eigenfunctions and a double order for the eigenvalues finally we present some numerical experiments illustrating the behavior of the virtual scheme on different families of meshes | [['in', 'this', 'paper', 'we', 'analyze', 'a', 'virtual', 'element', 'method', 'vem', 'for', 'solving', 'a', 'nonselfadjoint', 'fourthorder', 'eigenvalue', 'problem', 'derived', 'from', 'the', 'transmission', 'eigenvalue', 'problem', 'we', 'write', 'a', 'variational', 'formulation', 'and', 'propose', 'a', 'c1conforming', 'discretization', 'by', 'means', 'of', 'the', 'vem', 'we', 'use', 'the', 'classical', 'approximation', 'theory', 'for', 'compact', 'nonselfadjoint', 'operators', 'to', 'obtain', 'optimal', 'order', 'error', 'estimates', 'for', 'the', 'eigenfunctions', 'and', 'a', 'double', 'order', 'for', 'the', 'eigenvalues', 'finally', 'we', 'present', 'some', 'numerical', 'experiments', 'illustrating', 'the', 'behavior', 'of', 'the', 'virtual', 'scheme', 'on', 'different', 'families', 'of', 'meshes']] | [-0.12009610392528379, -0.0022165806113201895, -0.09838506913410476, 0.09281266581146391, -0.06991789106532563, -0.09978020264203717, 0.04900806674296841, 0.34522850488105583, -0.29088080973352914, -0.2563171135146677, 0.1225621522070817, -0.28644346358415523, -0.19229646756336738, 0.19467042839545526, -0.06154381989984325, 0.14743219861864215, 0.13735682063414084, 0.006770642186848469, -0.12328131923475015, -0.16213392318559833, 0.38805406761965083, -0.0233986616410591, 0.22135800064288447, 0.05710390697083907, 0.12175630296316044, -0.014613982106064573, -0.026478289557551896, 0.0017452038088698447, -0.1628651749400169, 0.19798229043774399, 0.2675423427875855, 0.05602172545996713, 0.32343961386998865, -0.39746323153146623, -0.18659832482628616, 0.09894256109090085, 0.15569092812775462, 0.13540001475700625, -0.076676912107045, -0.2777833887663336, 0.09781391542680838, -0.1763417810305125, -0.1941187294073587, -0.11203708942335697, -0.07239589359565282, -0.007202992224375959, -0.34396960496626516, 0.06466950856747082, 0.0008921402701993047, 0.020004262526830036, -0.09394272027054319, -0.11982527396779645, 0.10988948683191183, 0.0858054991443584, -0.018693015324296774, -0.10104696726840404, -0.0010768295852122483, -0.036815777239907116, -0.10766427940976472, 0.3974582025160392, -0.05253474328761782, -0.3060585411012541, 0.07457460898526565, -0.08891453002407043, -0.10902578701023702, 0.07340109497768643, 0.22543447885524343, 0.22263589863561922, -0.12386561889937263, 0.12391294323822001, -0.03439679051990862, 0.123943238346665, 0.06878955342323968, -0.019279954713527805, 0.033906636851621264, 0.12667404549817243, 0.1255164550456368, 0.15386638500049343, -0.055183554203307006, -0.12883004366799636, -0.35300759189290765, -0.17085961039741465, -0.19163903456043313, 0.021294045164307326, -0.1417178689012804, -0.21951285042558555, 0.41895199995817595, 0.1516386107563179, 0.12571157179887832, 0.11918205609200178, 0.3131874710160457, 0.22043333050541947, -0.015005186269128765, 0.09522299277653665, 0.1680540633290851, 0.18413510369309397, 0.0973086220925145, -0.26149413439180746, -0.025807885732645468, 0.24766110048203924] |
1,803.0198 | Learning Filter Bank Sparsifying Transforms | Data is said to follow the transform (or analysis) sparsity model if it
becomes sparse when acted on by a linear operator called a sparsifying
transform. Several algorithms have been designed to learn such a transform
directly from data, and data-adaptive sparsifying transforms have demonstrated
excellent performance in signal restoration tasks. Sparsifying transforms are
typically learned using small sub-regions of data called patches, but these
algorithms often ignore redundant information shared between neighboring
patches.
We show that many existing transform and analysis sparse representations can
be viewed as filter banks, thus linking the local properties of patch-based
model to the global properties of a convolutional model. We propose a new
transform learning framework where the sparsifying transform is an undecimated
perfect reconstruction filter bank. Unlike previous transform learning
algorithms, the filter length can be chosen independently of the number of
filter bank channels. Numerical results indicate filter bank sparsifying
transforms outperform existing patch-based transform learning for image
denoising while benefiting from additional flexibility in the design process.
| stat.ML cs.LG eess.SP | data is said to follow the transform or analysis sparsity model if it becomes sparse when acted on by a linear operator called a sparsifying transform several algorithms have been designed to learn such a transform directly from data and dataadaptive sparsifying transforms have demonstrated excellent performance in signal restoration tasks sparsifying transforms are typically learned using small subregions of data called patches but these algorithms often ignore redundant information shared between neighboring patches we show that many existing transform and analysis sparse representations can be viewed as filter banks thus linking the local properties of patchbased model to the global properties of a convolutional model we propose a new transform learning framework where the sparsifying transform is an undecimated perfect reconstruction filter bank unlike previous transform learning algorithms the filter length can be chosen independently of the number of filter bank channels numerical results indicate filter bank sparsifying transforms outperform existing patchbased transform learning for image denoising while benefiting from additional flexibility in the design process | [['data', 'is', 'said', 'to', 'follow', 'the', 'transform', 'or', 'analysis', 'sparsity', 'model', 'if', 'it', 'becomes', 'sparse', 'when', 'acted', 'on', 'by', 'a', 'linear', 'operator', 'called', 'a', 'sparsifying', 'transform', 'several', 'algorithms', 'have', 'been', 'designed', 'to', 'learn', 'such', 'a', 'transform', 'directly', 'from', 'data', 'and', 'dataadaptive', 'sparsifying', 'transforms', 'have', 'demonstrated', 'excellent', 'performance', 'in', 'signal', 'restoration', 'tasks', 'sparsifying', 'transforms', 'are', 'typically', 'learned', 'using', 'small', 'subregions', 'of', 'data', 'called', 'patches', 'but', 'these', 'algorithms', 'often', 'ignore', 'redundant', 'information', 'shared', 'between', 'neighboring', 'patches', 'we', 'show', 'that', 'many', 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1,803.01981 | An explicit form of the canonical submodule of a Drinfeld module | We define the canonical submodule of a Drinfeld module of rank greater than
one over the affine line over a finite field. (This extends the definition of
the level 1 canonical subgroup of Hattori for rank 2 with ordinary reduction.)
We give a criterion for the existence of the canonical submodule in terms of a
lift of the Hasse invariant. Then, we give an explicit form of the canonical
submodule. The main tool is formal Drinfeld modules of Rosen.
Recall that a canonical subgroup of an elliptic curve plays an important role
in the theory of p-adic modular forms. An explicit form in this case is given
by Coleman, and our result is its function field analogue.
| math.NT | we define the canonical submodule of a drinfeld module of rank greater than one over the affine line over a finite field this extends the definition of the level 1 canonical subgroup of hattori for rank 2 with ordinary reduction we give a criterion for the existence of the canonical submodule in terms of a lift of the hasse invariant then we give an explicit form of the canonical submodule the main tool is formal drinfeld modules of rosen recall that a canonical subgroup of an elliptic curve plays an important role in the theory of padic modular forms an explicit form in this case is given by coleman and our result is its function field analogue | [['we', 'define', 'the', 'canonical', 'submodule', 'of', 'a', 'drinfeld', 'module', 'of', 'rank', 'greater', 'than', 'one', 'over', 'the', 'affine', 'line', 'over', 'a', 'finite', 'field', 'this', 'extends', 'the', 'definition', 'of', 'the', 'level', '1', 'canonical', 'subgroup', 'of', 'hattori', 'for', 'rank', '2', 'with', 'ordinary', 'reduction', 'we', 'give', 'a', 'criterion', 'for', 'the', 'existence', 'of', 'the', 'canonical', 'submodule', 'in', 'terms', 'of', 'a', 'lift', 'of', 'the', 'hasse', 'invariant', 'then', 'we', 'give', 'an', 'explicit', 'form', 'of', 'the', 'canonical', 'submodule', 'the', 'main', 'tool', 'is', 'formal', 'drinfeld', 'modules', 'of', 'rosen', 'recall', 'that', 'a', 'canonical', 'subgroup', 'of', 'an', 'elliptic', 'curve', 'plays', 'an', 'important', 'role', 'in', 'the', 'theory', 'of', 'padic', 'modular', 'forms', 'an', 'explicit', 'form', 'in', 'this', 'case', 'is', 'given', 'by', 'coleman', 'and', 'our', 'result', 'is', 'its', 'function', 'field', 'analogue']] | [-0.18578334200060648, 0.026759129077789143, -0.13862922320015028, 0.06176056968880037, -0.0725769463321592, -0.09456031635387713, -0.03003781853327289, 0.26299457519482344, -0.304870056370512, -0.22070933278236124, 0.05056391844752794, -0.20981255338057622, -0.17019225279681194, 0.21582909242815188, -0.1452003846772843, -0.04927370213738316, 0.00934793504798769, 0.15167018545305946, -0.11678239474924774, -0.29059129131114125, 0.43244519581795376, 0.05910152691997524, 0.2248535058282029, 0.020405328713166408, 0.15802960404642394, 0.05768899578983203, -0.006282737430853722, -0.07291293642523451, -0.126052178397019, 0.15173014141141605, 0.288398315732041, 0.10586822071136573, 0.2518862693164593, -0.34655975290916413, -0.10107357419318815, 0.2088924272097329, 0.11189836816878146, 0.03528275252240272, -0.020956211645777028, -0.19433673463451365, 0.10917609641226467, -0.2331794343379318, -0.18493695413837066, -0.07769648077038045, 0.07303329482754199, -0.033425475192120954, -0.25673424480403334, 0.01599437321544203, 0.13116683330163997, 0.19981046225557214, -0.07860340715413834, -0.11059698052147132, -0.0015771963950007772, 0.06353511315428166, -0.02798770728489209, 0.08811249297921164, 0.08764296599353354, -0.13793272948147267, -0.10633899279846212, 0.3597877533453652, -0.08756916228003708, -0.21466099633238253, 0.07061045816661711, -0.1102753126512194, -0.1500716861257823, 0.12228267033321735, 0.052086612329078026, 0.12958982582930395, -0.020371189301148947, 0.16159884080153483, -0.1520831535817084, 0.07855477013314764, 0.07067288888188508, -0.033330108823143266, 0.1515397617402367, 0.11074694081679241, 0.07275740312348701, 0.15066493468152153, 0.005540712994252706, -0.04130820767619671, -0.3997414560558704, -0.2802077723412305, -0.09543875171444736, 0.1327099627815187, -0.1263064525375475, -0.1820707120654038, 0.44401681224783707, 0.08102863234205124, 0.17729965499482858, 0.10191197703695959, 0.22881856987961274, 0.13668365785394374, 0.06179272293105212, 0.03800897820032815, 0.1548371554320503, 0.23386442110849878, -0.05080701227092908, -0.14706296478517544, -0.022463707002596214, 0.21140073479001975] |
1,803.01982 | Low-Rank Matrix Approximations with Flip-Flop Spectrum-Revealing QR
Factorization | We present Flip-Flop Spectrum-Revealing QR (Flip-Flop SRQR) factorization, a
significantly faster and more reliable variant of the QLP factorization of
Stewart, for low-rank matrix approximations. Flip-Flop SRQR uses SRQR
factorization to initialize a partial column pivoted QR factorization and then
compute a partial LQ factorization. As observed by Stewart in his original QLP
work, Flip-Flop SRQR tracks the exact singular values with "considerable
fidelity". We develop singular value lower bounds and residual error upper
bounds for Flip-Flop SRQR factorization. In situations where singular values of
the input matrix decay relatively quickly, the low-rank approximation computed
by SRQR is guaranteed to be as accurate as truncated SVD. We also perform a
complexity analysis to show that for the same accuracy, Flip-Flop SRQR is
faster than randomized subspace iteration for approximating the SVD, the
standard method used in Matlab tensor toolbox. We also compare Flip-Flop SRQR
with alternatives on two applications, tensor approximation and nuclear norm
minimization, to demonstrate its efficiency and effectiveness.
| math.NA cs.NA | we present flipflop spectrumrevealing qr flipflop srqr factorization a significantly faster and more reliable variant of the qlp factorization of stewart for lowrank matrix approximations flipflop srqr uses srqr factorization to initialize a partial column pivoted qr factorization and then compute a partial lq factorization as observed by stewart in his original qlp work flipflop srqr tracks the exact singular values with considerable fidelity we develop singular value lower bounds and residual error upper bounds for flipflop srqr factorization in situations where singular values of the input matrix decay relatively quickly the lowrank approximation computed by srqr is guaranteed to be as accurate as truncated svd we also perform a complexity analysis to show that for the same accuracy flipflop srqr is faster than randomized subspace iteration for approximating the svd the standard method used in matlab tensor toolbox we also compare flipflop srqr with alternatives on two applications tensor approximation and nuclear norm minimization to demonstrate its efficiency and effectiveness | [['we', 'present', 'flipflop', 'spectrumrevealing', 'qr', 'flipflop', 'srqr', 'factorization', 'a', 'significantly', 'faster', 'and', 'more', 'reliable', 'variant', 'of', 'the', 'qlp', 'factorization', 'of', 'stewart', 'for', 'lowrank', 'matrix', 'approximations', 'flipflop', 'srqr', 'uses', 'srqr', 'factorization', 'to', 'initialize', 'a', 'partial', 'column', 'pivoted', 'qr', 'factorization', 'and', 'then', 'compute', 'a', 'partial', 'lq', 'factorization', 'as', 'observed', 'by', 'stewart', 'in', 'his', 'original', 'qlp', 'work', 'flipflop', 'srqr', 'tracks', 'the', 'exact', 'singular', 'values', 'with', 'considerable', 'fidelity', 'we', 'develop', 'singular', 'value', 'lower', 'bounds', 'and', 'residual', 'error', 'upper', 'bounds', 'for', 'flipflop', 'srqr', 'factorization', 'in', 'situations', 'where', 'singular', 'values', 'of', 'the', 'input', 'matrix', 'decay', 'relatively', 'quickly', 'the', 'lowrank', 'approximation', 'computed', 'by', 'srqr', 'is', 'guaranteed', 'to', 'be', 'as', 'accurate', 'as', 'truncated', 'svd', 'we', 'also', 'perform', 'a', 'complexity', 'analysis', 'to', 'show', 'that', 'for', 'the', 'same', 'accuracy', 'flipflop', 'srqr', 'is', 'faster', 'than', 'randomized', 'subspace', 'iteration', 'for', 'approximating', 'the', 'svd', 'the', 'standard', 'method', 'used', 'in', 'matlab', 'tensor', 'toolbox', 'we', 'also', 'compare', 'flipflop', 'srqr', 'with', 'alternatives', 'on', 'two', 'applications', 'tensor', 'approximation', 'and', 'nuclear', 'norm', 'minimization', 'to', 'demonstrate', 'its', 'efficiency', 'and', 'effectiveness']] | [-0.049320209385994934, 0.017210374714630244, -0.08343648509233062, 0.10791982377673968, -0.06555542440633781, -0.19203652629790746, 0.022749241058257704, 0.37005523127729295, -0.26897795304875843, -0.21015116154731062, 0.1551056047200127, -0.2145442241768104, -0.18067549116423595, 0.1446888049491768, -0.05343693035498539, 0.12016627919171093, 0.10034493513850738, 0.02617633554459729, -0.1783982831366528, -0.2372507598852704, 0.201432767847657, 0.06716151462046441, 0.22409740686329857, -0.008027693155505087, 0.10564755874552897, 0.035496157763225046, -0.007166784933496336, -0.023386350763464195, -0.07648716536835913, 0.12719987543670008, 0.26697434148583443, 0.17185739396857272, 0.2623603851013811, -0.42284176169507065, -0.08098875432309943, 0.10394673346236684, 0.17164507356142591, 0.11685483949548155, -0.019013204183505404, -0.2310207306019823, 0.16493306090904875, -0.23203261783896073, -0.054086271627164034, -0.18462442008269406, 0.01902395721686923, -0.058339895825162066, -0.37155200435161034, 0.08562975294811373, 0.03266018105349764, -0.02727883130254843, 0.0035571670904466363, -0.24468616007462793, 0.11910435403277808, 0.022207383286231053, 0.0096578348315211, 0.04744650768868116, 0.14620916475397275, -0.06661284091356008, -0.14453831752501892, 0.3082543887553725, -0.09138592330459433, -0.19413503010537453, 0.10744555181713764, -0.08190601130785502, -0.09689255068816176, 0.13784573699914568, 0.18264128757595166, 0.1569380121918754, -0.08263329704587134, 0.08515328209758996, -0.030966659037465726, 0.14390193601500428, 0.06697116428928346, 0.010831374844235386, 0.025394612107634173, 0.10182414743695004, 0.1028767251322821, 0.1122690865398321, -0.058043241904331196, -0.12916651500608795, -0.21850293361645493, -0.12401045368749704, -0.2146904019751696, 0.038746556126232755, -0.17940129121750673, -0.19438507497999008, 0.40728450434641067, 0.1537132822671292, 0.21716013871370496, 0.12223694992240125, 0.3849802882821293, 0.13590574015932655, 0.04395460241195104, 0.14925435652539876, 0.20088010592970373, 0.20218140110431343, 0.07370789924629975, -0.24630070907809998, 0.10031887268508721, 0.2179181430942917] |
1,803.01983 | Surface reconstruction and charge modulation in BaFe2As2 superconducting
film | Whether or not epitaxially grown superconducting films have the same
bulk-like superconducting properties is an important concern. We report the
structure and the electronic properties of epitaxially grown Ba(Fe1-xCox)2As2
films using scanning tunneling microscopy and scanning tunneling spectroscopy
(STS). This film showed a different surface structure, (2sqrtx2sqrt2)R45
reconstruction, from those of as-cleaved surfaces from bulk crystals. The
electronic structure of the grown film is different from that in bulk, and it
is notable that the film exhibits the same superconducting transport
properties. We found that the superconducting gap at the surface is screened at
the Ba layer surface in STS measurements, and the charge density wave was
observed at the surface in sample in the superconducting state.
| cond-mat.supr-con | whether or not epitaxially grown superconducting films have the same bulklike superconducting properties is an important concern we report the structure and the electronic properties of epitaxially grown bafe1xcox2as2 films using scanning tunneling microscopy and scanning tunneling spectroscopy sts this film showed a different surface structure 2sqrtx2sqrt2r45 reconstruction from those of ascleaved surfaces from bulk crystals the electronic structure of the grown film is different from that in bulk and it is notable that the film exhibits the same superconducting transport properties we found that the superconducting gap at the surface is screened at the ba layer surface in sts measurements and the charge density wave was observed at the surface in sample in the superconducting state | [['whether', 'or', 'not', 'epitaxially', 'grown', 'superconducting', 'films', 'have', 'the', 'same', 'bulklike', 'superconducting', 'properties', 'is', 'an', 'important', 'concern', 'we', 'report', 'the', 'structure', 'and', 'the', 'electronic', 'properties', 'of', 'epitaxially', 'grown', 'bafe1xcox2as2', 'films', 'using', 'scanning', 'tunneling', 'microscopy', 'and', 'scanning', 'tunneling', 'spectroscopy', 'sts', 'this', 'film', 'showed', 'a', 'different', 'surface', 'structure', '2sqrtx2sqrt2r45', 'reconstruction', 'from', 'those', 'of', 'ascleaved', 'surfaces', 'from', 'bulk', 'crystals', 'the', 'electronic', 'structure', 'of', 'the', 'grown', 'film', 'is', 'different', 'from', 'that', 'in', 'bulk', 'and', 'it', 'is', 'notable', 'that', 'the', 'film', 'exhibits', 'the', 'same', 'superconducting', 'transport', 'properties', 'we', 'found', 'that', 'the', 'superconducting', 'gap', 'at', 'the', 'surface', 'is', 'screened', 'at', 'the', 'ba', 'layer', 'surface', 'in', 'sts', 'measurements', 'and', 'the', 'charge', 'density', 'wave', 'was', 'observed', 'at', 'the', 'surface', 'in', 'sample', 'in', 'the', 'superconducting', 'state']] | [-0.14215760229398375, 0.1777474907653295, -0.10831596299439021, -0.04789617494173834, 0.011307424857564594, -0.13202567259659587, 0.08179779247046731, 0.43252743767655416, -0.2803707796837325, -0.3288629078508719, -0.018105391344136516, -0.3822042267931544, -0.12055611822389714, 0.2116022872839771, 0.04579323038620793, 0.0755882535615693, -0.042387285213107646, -0.10075772891792914, -0.16807273243472953, -0.23546891707481574, 0.35103531816731326, 0.042130256492806516, 0.42966501337840507, 0.09112095787473347, 0.014383604073816019, -0.038583410725645396, 0.1627533645045174, 0.05003491550198068, -0.1955177790798505, 0.038326272983913834, 0.26084004756994544, -0.1364006870750176, 0.1535914371944154, -0.530980810810212, -0.24868113119965013, -0.07915473565783189, 0.11132640607817018, 0.12866718529865306, -0.12014054760498845, -0.24306133902915147, 0.09816430696164784, -0.04075148608535528, -0.05013033496215939, -0.030983738908949107, -0.07939836339134237, -0.026449706648354946, -0.12429515357362106, 0.08171837525847166, 0.0006559386626695809, 0.11340290029816653, -0.10535469984878665, -0.10718747712266834, -0.16913985529833514, 0.04208562956191599, 0.016168381557192493, 0.06890649976937667, 0.21884652868561122, -0.11573635850800201, -0.05640692494647658, 0.2884740914663543, -0.03743873783589705, -0.04003143548236593, 0.1558525345247725, -0.24887622044948132, -0.057730841899857575, 0.16790012511546198, 0.06612150763040003, 0.1359278328878724, -0.15630670901863714, 0.10874588101616373, -0.015142254244774054, 0.26595603732857853, 0.11643362784778456, 0.0949031143611216, 0.21831990179160368, 0.2563620027883545, 0.010822723095264771, 0.12465975714098339, -0.19578067115609252, 0.058857047893916783, -0.17310881511024806, -0.2360727515557538, -0.24644806571102337, 0.06997313803395905, -0.023670261599751108, -0.24034713140648345, 0.40097279223896887, 0.09494792955077212, 0.1648097021161052, -0.12284491037767704, 0.23055000357005906, 0.03703785286305229, 0.10113816463752934, 0.030972714454907437, 0.25468387334890985, 0.16588317959204965, 0.13260813831635143, -0.28132147168052263, 0.14623093049487343, -0.04941273841642491] |
1,803.01984 | Bayesian Predictive Synthesis with Outcome-Dependent Pools | This paper reviews background and examples of Bayesian predictive synthesis
(BPS), and develops details in a subset of BPS mixture models. BPS expands on
standard Bayesian model uncertainty analysis for model mixing to provide a
broader foundation for calibrating and combining predictive densities from
multiple models or other sources. One main focus here is BPS as a framework for
justifying and understanding generalized "linear opinion pools," where multiple
predictive densities are combined with flexible mixing weights that depend on
the forecast outcome itself, i.e., the setting of outcome-dependent model
mixing. BPS also defines approaches to incorporating and exploiting
dependencies across models defining forecasts, and to formally addressing the
problem of model set incompleteness within the subjective Bayesian framework.
In addition to an overview of general mixture-based BPS, new methodological
developments for dynamic BPS -- involving calibration and pooling of sets of
predictive distributions in a univariate time series setting -- are presented.
These developments are exemplified in summaries of an analysis in a univariate
financial time series study.
| stat.ME | this paper reviews background and examples of bayesian predictive synthesis bps and develops details in a subset of bps mixture models bps expands on standard bayesian model uncertainty analysis for model mixing to provide a broader foundation for calibrating and combining predictive densities from multiple models or other sources one main focus here is bps as a framework for justifying and understanding generalized linear opinion pools where multiple predictive densities are combined with flexible mixing weights that depend on the forecast outcome itself ie the setting of outcomedependent model mixing bps also defines approaches to incorporating and exploiting dependencies across models defining forecasts and to formally addressing the problem of model set incompleteness within the subjective bayesian framework in addition to an overview of general mixturebased bps new methodological developments for dynamic bps involving calibration and pooling of sets of predictive distributions in a univariate time series setting are presented these developments are exemplified in summaries of an analysis in a univariate financial time series study | [['this', 'paper', 'reviews', 'background', 'and', 'examples', 'of', 'bayesian', 'predictive', 'synthesis', 'bps', 'and', 'develops', 'details', 'in', 'a', 'subset', 'of', 'bps', 'mixture', 'models', 'bps', 'expands', 'on', 'standard', 'bayesian', 'model', 'uncertainty', 'analysis', 'for', 'model', 'mixing', 'to', 'provide', 'a', 'broader', 'foundation', 'for', 'calibrating', 'and', 'combining', 'predictive', 'densities', 'from', 'multiple', 'models', 'or', 'other', 'sources', 'one', 'main', 'focus', 'here', 'is', 'bps', 'as', 'a', 'framework', 'for', 'justifying', 'and', 'understanding', 'generalized', 'linear', 'opinion', 'pools', 'where', 'multiple', 'predictive', 'densities', 'are', 'combined', 'with', 'flexible', 'mixing', 'weights', 'that', 'depend', 'on', 'the', 'forecast', 'outcome', 'itself', 'ie', 'the', 'setting', 'of', 'outcomedependent', 'model', 'mixing', 'bps', 'also', 'defines', 'approaches', 'to', 'incorporating', 'and', 'exploiting', 'dependencies', 'across', 'models', 'defining', 'forecasts', 'and', 'to', 'formally', 'addressing', 'the', 'problem', 'of', 'model', 'set', 'incompleteness', 'within', 'the', 'subjective', 'bayesian', 'framework', 'in', 'addition', 'to', 'an', 'overview', 'of', 'general', 'mixturebased', 'bps', 'new', 'methodological', 'developments', 'for', 'dynamic', 'bps', 'involving', 'calibration', 'and', 'pooling', 'of', 'sets', 'of', 'predictive', 'distributions', 'in', 'a', 'univariate', 'time', 'series', 'setting', 'are', 'presented', 'these', 'developments', 'are', 'exemplified', 'in', 'summaries', 'of', 'an', 'analysis', 'in', 'a', 'univariate', 'financial', 'time', 'series', 'study']] | [-0.016294327596797192, 0.03463264327396005, -0.06798668467637477, 0.11949513095195394, -0.08780062177038965, -0.15044397973358709, 0.06132682066912909, 0.36885018294385397, -0.23051753598658076, -0.31577840334376744, 0.1006437129301092, -0.2494398019674896, -0.11163479908431195, 0.18537810203164862, -0.09505880722307589, 0.07940210820545993, 0.0517260024004268, -0.031560444355632336, -0.061439682647490494, -0.22857773817615606, 0.3058638390124192, 0.04689722781627809, 0.3126308685982129, -0.023457802243037038, 0.09030602670661089, 0.013039757071220013, -0.11253857691996698, 0.026057091882418705, -0.12042496081446726, 0.19120941243445816, 0.2762604376487846, 0.18170020500961018, 0.310864661747298, -0.4203351586313739, -0.2584239731273468, 0.07685759675644159, 0.135788262569267, 0.09996122188013361, 0.004799260634435229, -0.25787280493202697, 0.02345901594710458, -0.19343920507053114, -0.07670247650716498, -0.14564382596395864, -0.0020864685851497105, 0.013806915475015558, -0.3167617912067617, 0.1012932503669935, 0.045469463662614666, 0.07336561240715883, -0.0682794879701168, -0.1669757231047478, 0.0009568877369502043, 0.10863216079249753, 0.05607362732667117, -0.0331015993759642, 0.105823055789834, -0.16749317009220774, -0.1551434654259987, 0.320037864970537, -0.038712561901950514, -0.22419379253490232, 0.12867203552881817, -0.08303508913096781, -0.22165461035349956, 0.04982947989462325, 0.22323977586242416, 0.12387654293855899, -0.16967327987034636, 0.06897804431977726, -0.04596648461757654, 0.17963389645566244, 0.02404653676925788, 0.004287220693701115, 0.262721629087471, 0.24363941767151995, 0.021643245287649108, 0.11605757041813256, -0.07231029945268598, -0.18568733460774803, -0.33828497058164936, -0.0956714199266834, -0.09548316164368606, 0.0019341015315850277, -0.08896096092931076, -0.19702273501866605, 0.4293185478210988, 0.1842843856205266, 0.17884812230827757, 0.11387601034299903, 0.2788894206947501, 0.08004406151522711, -0.004275706842126527, 0.05745260851424053, 0.15361393212567992, 0.10340057822163161, 0.07082770329953385, -0.13641914907220123, 0.07027410440208637, 0.05692809548703056] |
1,803.01985 | Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron
Nitride Moir\'e Superlattice | Mott insulator plays a central role in strongly correlated physics, where the
repulsive Coulomb interaction dominates over the electron kinetic energy and
leads to insulating states with one electron occupying each unit cell. Doped
Mott insulator is often described by the Hubbard model3, which can give rise to
other correlated phenomena such as unusual magnetism and even high-temperature
superconductivity. A tunable Mott insulator, where the competition between the
Coulomb interaction and the kinetic energy can be varied in situ, can provide
an invaluable model system for the study of Mott physics. Here we report the
realization of such a tunable Mott insulator in the ABC trilayer graphene (TLG)
and hexagonal boron nitride (hBN) heterostructure with a moir\'e superlattice.
Unlike massless Dirac electrons in monolayer graphene, electrons in pristine
ABC TLG are characterized by quartic energy dispersion and large effective mass
that are conducive for strongly correlated phenomena. The moir\'e superlattice
in TLG/hBN heterostructures leads to narrow electronic minibands that are gate
tunable. Each filled miniband contains 4 electrons in one moir\'e lattice site
due to the spin and valley degeneracy of graphene. The Mott insulator states
emerge at 1/4 and 1/2 fillings, corresponding to one electron and two electrons
per site, respectively. Moreover, the Mott states in the ABC TLG/hBN
heterostructure exhibit unprecedented tunability: the Mott gap can be modulated
in situ by a vertical electrical field, and at the meantime, the electron
doping can be gate-tuned to fill the band from one Mott insulating state to
another. Our observation of a tunable Mott insulator opens up exciting
opportunities to explore novel strongly correlated phenomena in two-dimensional
moir\'e superlattice heterostructures.
| cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.str-el | mott insulator plays a central role in strongly correlated physics where the repulsive coulomb interaction dominates over the electron kinetic energy and leads to insulating states with one electron occupying each unit cell doped mott insulator is often described by the hubbard model3 which can give rise to other correlated phenomena such as unusual magnetism and even hightemperature superconductivity a tunable mott insulator where the competition between the coulomb interaction and the kinetic energy can be varied in situ can provide an invaluable model system for the study of mott physics here we report the realization of such a tunable mott insulator in the abc trilayer graphene tlg and hexagonal boron nitride hbn heterostructure with a moire superlattice unlike massless dirac electrons in monolayer graphene electrons in pristine abc tlg are characterized by quartic energy dispersion and large effective mass that are conducive for strongly correlated phenomena the moire superlattice in tlghbn heterostructures leads to narrow electronic minibands that are gate tunable each filled miniband contains 4 electrons in one moire lattice site due to the spin and valley degeneracy of graphene the mott insulator states emerge at 14 and 12 fillings corresponding to one electron and two electrons per site respectively moreover the mott states in the abc tlghbn heterostructure exhibit unprecedented tunability the mott gap can be modulated in situ by a vertical electrical field and at the meantime the electron doping can be gatetuned to fill the band from one mott insulating state to another our observation of a tunable mott insulator opens up exciting opportunities to explore novel strongly correlated phenomena in twodimensional moire superlattice heterostructures | [['mott', 'insulator', 'plays', 'a', 'central', 'role', 'in', 'strongly', 'correlated', 'physics', 'where', 'the', 'repulsive', 'coulomb', 'interaction', 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1,803.01986 | Reservoir-engineered entanglement in a hybrid modulated three-mode
optomechanical system | We propose an effective approach for generating highly pure and strong
cavity-mechanical entanglement (or optical-microwave entanglement) in a hybrid
modulated three-mode optomechanical system. By applying two-tone driving to the
cavity and modulating the coupling strength between two mechanical oscillators
(or between a mechanical oscillator and a transmission line resonator), we
obtain an effective Hamiltonian where an intermediate mechanical mode acting as
an engineered reservoir cools the Bogoliubov modes of two target system modes
via beam-splitter-like interactions. In this way, the two target modes are
driven to two-mode squeezed states in the stationary limit. In particular, we
discuss the effects of cavity-driving detuning on the entanglement and the
purity. It is found that the cavity-driving detuning plays a critical role in
the goal of acquiring highly pure and strongly entangled steady states.
| quant-ph | we propose an effective approach for generating highly pure and strong cavitymechanical entanglement or opticalmicrowave entanglement in a hybrid modulated threemode optomechanical system by applying twotone driving to the cavity and modulating the coupling strength between two mechanical oscillators or between a mechanical oscillator and a transmission line resonator we obtain an effective hamiltonian where an intermediate mechanical mode acting as an engineered reservoir cools the bogoliubov modes of two target system modes via beamsplitterlike interactions in this way the two target modes are driven to twomode squeezed states in the stationary limit in particular we discuss the effects of cavitydriving detuning on the entanglement and the purity it is found that the cavitydriving detuning plays a critical role in the goal of acquiring highly pure and strongly entangled steady states | [['we', 'propose', 'an', 'effective', 'approach', 'for', 'generating', 'highly', 'pure', 'and', 'strong', 'cavitymechanical', 'entanglement', 'or', 'opticalmicrowave', 'entanglement', 'in', 'a', 'hybrid', 'modulated', 'threemode', 'optomechanical', 'system', 'by', 'applying', 'twotone', 'driving', 'to', 'the', 'cavity', 'and', 'modulating', 'the', 'coupling', 'strength', 'between', 'two', 'mechanical', 'oscillators', 'or', 'between', 'a', 'mechanical', 'oscillator', 'and', 'a', 'transmission', 'line', 'resonator', 'we', 'obtain', 'an', 'effective', 'hamiltonian', 'where', 'an', 'intermediate', 'mechanical', 'mode', 'acting', 'as', 'an', 'engineered', 'reservoir', 'cools', 'the', 'bogoliubov', 'modes', 'of', 'two', 'target', 'system', 'modes', 'via', 'beamsplitterlike', 'interactions', 'in', 'this', 'way', 'the', 'two', 'target', 'modes', 'are', 'driven', 'to', 'twomode', 'squeezed', 'states', 'in', 'the', 'stationary', 'limit', 'in', 'particular', 'we', 'discuss', 'the', 'effects', 'of', 'cavitydriving', 'detuning', 'on', 'the', 'entanglement', 'and', 'the', 'purity', 'it', 'is', 'found', 'that', 'the', 'cavitydriving', 'detuning', 'plays', 'a', 'critical', 'role', 'in', 'the', 'goal', 'of', 'acquiring', 'highly', 'pure', 'and', 'strongly', 'entangled', 'steady', 'states']] | [-0.20125420326803578, 0.26408318661242447, -0.057563215052596206, -0.013060236083902055, 0.01841006550603197, -0.1985145835824369, 0.05186246736502653, 0.38384129364567343, -0.2429698397318134, -0.24330342128814664, 0.0188573292680303, -0.2682548260563635, -0.13065153119168826, 0.2141236998977547, 0.01880829883430124, 0.052001583950186614, 0.038692028225341346, 0.002808012141031213, 0.013296210441694711, -0.12934970903279464, 0.3457443724823861, 0.038374326684788684, 0.3459734885545913, 0.018182011368480744, 0.1055908249982167, 0.021171525004319847, 0.09298444469550304, -0.05740524207431008, -0.07763387109508813, 0.08173854306824069, 0.22679991167387925, 0.03405468556957203, 0.2993798820898519, -0.42943708434177097, -0.16624146154572372, 0.11031135492521571, 0.16160869380382792, 0.19875508995028213, -0.030477582867206365, -0.3087148562153743, -0.0805739758980053, -0.17942178977682488, -0.13096291185865994, -0.1112120936854808, 0.010497132141608745, -0.03136205369082745, -0.28999509066852625, 0.061970512522293575, 0.06361756651676842, 0.04636040429613786, -0.0494017551336583, 0.014029508012754377, -0.059486542570084566, 0.12386881211205036, -0.05443810900942481, -0.01458612748683663, 0.19938448457833147, -0.1685970707147817, -0.08724608310512849, 0.335169581027003, -0.13568473423038085, -0.2031291938837967, 0.1984318400391203, -0.08621308637520997, -0.03554675720806699, 0.0672084663019632, 0.13568764974843361, 0.09145194027678372, -0.13479875061239, -0.0003234948294448259, 0.0494608623048407, 0.2189791460041306, 0.08690538413429749, 0.12456826006018673, 0.2259312151982158, 0.13981641100872366, 0.05643664888702915, 0.2584703938191524, -0.05467508539913979, -0.08985888698953204, -0.28433369864796987, -0.12738717401225585, -0.20762918521973006, 0.060842543898615986, -0.06748779424322038, -0.14379842294579248, 0.4145068701436685, 0.09551986058431794, 0.14601158181903884, -0.05061594277322001, 0.28082817496033385, 0.1682335118230185, 0.008768389299802948, 0.03643375584579189, 0.3527209723033593, 0.18226296143438958, 0.05098368687686161, -0.34792512044441537, -0.0326953772782872, -0.004692029251600616] |
1,803.01987 | Odoni's conjecture for number fields | Let $K$ be a number field, and let $d\geq 2$. A conjecture of Odoni (stated
more generally for characteristic zero Hilbertian fields $K$) posits that there
is a monic polynomial $f\in K[x]$ of degree $d$, and a point $x_0\in K$, such
that for every $n\geq 0$, the so-called arboreal Galois group
$Gal(K(f^{-n}(x_0))/K)$ is an $n$-fold wreath product of the symmetric group
$S_d$. In this paper, we prove Odoni's conjecture when $d$ is even and $K$ is
an arbitrary number field, and also when both $d$ and $[K:Q]$ are odd.
| math.NT math.DS | let k be a number field and let dgeq 2 a conjecture of odoni stated more generally for characteristic zero hilbertian fields k posits that there is a monic polynomial fin kx of degree d and a point x_0in k such that for every ngeq 0 the socalled arboreal galois group galkfnx_0k is an nfold wreath product of the symmetric group s_d in this paper we prove odonis conjecture when d is even and k is an arbitrary number field and also when both d and kq are odd | [['let', 'k', 'be', 'a', 'number', 'field', 'and', 'let', 'dgeq', '2', 'a', 'conjecture', 'of', 'odoni', 'stated', 'more', 'generally', 'for', 'characteristic', 'zero', 'hilbertian', 'fields', 'k', 'posits', 'that', 'there', 'is', 'a', 'monic', 'polynomial', 'fin', 'kx', 'of', 'degree', 'd', 'and', 'a', 'point', 'x_0in', 'k', 'such', 'that', 'for', 'every', 'ngeq', '0', 'the', 'socalled', 'arboreal', 'galois', 'group', 'galkfnx_0k', 'is', 'an', 'nfold', 'wreath', 'product', 'of', 'the', 'symmetric', 'group', 's_d', 'in', 'this', 'paper', 'we', 'prove', 'odonis', 'conjecture', 'when', 'd', 'is', 'even', 'and', 'k', 'is', 'an', 'arbitrary', 'number', 'field', 'and', 'also', 'when', 'both', 'd', 'and', 'kq', 'are', 'odd']] | [-0.27754030037730204, 0.17837638209136364, -0.09485969915129673, -0.019820523674428547, -0.05170015240323612, -0.2252127626889396, -0.053917964084084606, 0.32610346916420707, -0.31790763709223135, -0.1972636060692884, 0.06080039853267586, -0.25528728827598623, -0.13354369972821797, 0.17454724979383507, -0.06735633776640926, -0.08869874035275874, -0.020553038187924474, 0.19464126218581337, -0.03481459645179753, -0.3313006228157159, 0.3351549158493678, -0.11262663402434053, 0.13027830728083506, 0.0670056836519005, 0.06224951459009243, 0.048034503815117584, 0.05667639056477567, 0.01741262537630639, -0.1381334964055153, 0.0361112943454378, 0.32512302589656294, 0.12661153660155833, 0.28374312826614273, -0.3177737924253606, -0.14715588065238946, 0.3021972943739644, 0.17346840005517863, -0.029294202628748857, 0.0037001923050118566, -0.22390258848538686, 0.20472032618548336, -0.12840075353873043, -0.18527759401791397, -0.05080700596130785, 0.19552794485031788, -0.046095168068148624, -0.37222777360557824, -0.009081947068943396, 0.16238104203721274, 0.19874725361279716, -0.026215993965194487, -0.19582299738266, -0.03696201223045074, 0.020798257809672933, -0.03632947495849482, 0.15905856882789354, 0.005071017130454681, -0.11275865660776951, -0.09006159620937602, 0.3542859597217249, -0.08707871286187792, -0.18225422609683084, 0.07845974752101405, -0.21595496761387792, -0.13744073323156128, 0.13496258830244856, 0.0697037788354203, 0.18820339685370183, 0.012446538848607084, 0.24692758220587804, -0.1817650155260645, 0.14237900844262646, 0.11215171526753526, -0.0518317861032897, 0.11644106475507905, 0.009945559401022291, 0.10308380885285208, 0.12329399237146965, 0.009823141458990246, 0.07086540013551712, -0.3535870512861801, -0.21176968474240823, -0.18088530518928136, 0.19329654908171673, -0.16540120429564775, -0.09180053829847054, 0.2934604632165069, 0.058583277759367024, 0.14526516361825767, 0.14771448795137734, 0.1919412567954639, 0.08985475205612936, -0.0043970820729503, 0.14014208794306515, 0.008367262373881778, 0.24126689006432614, -0.05520563542136345, -0.13705601760496697, -0.009573249777259797, 0.11660741622313514] |
1,803.01988 | Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes
system with slow $p$-Laplacian diffusion | This paper investigates an incompressible chemotaxis-Navier-Stokes system
with slow $p$-Laplacian diffusion \begin{eqnarray} \left\{\begin{array}{lll}
n_t+u\cdot\nabla n=\nabla\cdot(|\nabla n|^{p-2}\nabla
n)-\nabla\cdot(n\chi(c)\nabla c),& x\in\Omega,\ t>0, c_t+u\cdot\nabla c=\Delta
c-nf(c),& x\in\Omega,\ t>0, u_t+(u\cdot\nabla) u=\Delta u+\nabla
P+n\nabla\Phi,& x\in\Omega,\ t>0, \nabla\cdot u=0,& x\in\Omega,\ t>0
\end{array}\right. \end{eqnarray} under homogeneous boundary conditions of
Neumann type for $n$ and $c$, and of Dirichlet type for $u$ in a bounded convex
domain $\Omega\subset \mathbb{R}^3$ with smooth boundary. Here, $\Phi\in
W^{1,\infty}(\Omega)$, $0<\chi\in C^2([0,\infty))$ and $0\leq f\in
C^1([0,\infty))$ with $f(0)=0$. It is proved that if $p>\frac{32}{15}$ and
under appropriate structural assumptions on $f$ and $\chi$, for all
sufficiently smooth initial data $(n_0,c_0,u_0)$ the model possesses at least
one global weak solution.
| math.AP | this paper investigates an incompressible chemotaxisnavierstokes system with slow plaplacian diffusion begineqnarray leftbeginarraylll n_tucdotnabla nnablacdotnabla np2nabla nnablacdotnchicnabla c xinomega t0 c_tucdotnabla cdelta cnfc xinomega t0 u_tucdotnabla udelta unabla pnnablaphi xinomega t0 nablacdot u0 xinomega t0 endarrayright endeqnarray under homogeneous boundary conditions of neumann type for n and c and of dirichlet type for u in a bounded convex domain omegasubset mathbbr3 with smooth boundary here phiin w1inftyomega 0chiin c20infty and 0leq fin c10infty with f00 it is proved that if pfrac3215 and under appropriate structural assumptions on f and chi for all sufficiently smooth initial data n_0c_0u_0 the model possesses at least one global weak solution | [['this', 'paper', 'investigates', 'an', 'incompressible', 'chemotaxisnavierstokes', 'system', 'with', 'slow', 'plaplacian', 'diffusion', 'begineqnarray', 'leftbeginarraylll', 'n_tucdotnabla', 'nnablacdotnabla', 'np2nabla', 'nnablacdotnchicnabla', 'c', 'xinomega', 't0', 'c_tucdotnabla', 'cdelta', 'cnfc', 'xinomega', 't0', 'u_tucdotnabla', 'udelta', 'unabla', 'pnnablaphi', 'xinomega', 't0', 'nablacdot', 'u0', 'xinomega', 't0', 'endarrayright', 'endeqnarray', 'under', 'homogeneous', 'boundary', 'conditions', 'of', 'neumann', 'type', 'for', 'n', 'and', 'c', 'and', 'of', 'dirichlet', 'type', 'for', 'u', 'in', 'a', 'bounded', 'convex', 'domain', 'omegasubset', 'mathbbr3', 'with', 'smooth', 'boundary', 'here', 'phiin', 'w1inftyomega', '0chiin', 'c20infty', 'and', '0leq', 'fin', 'c10infty', 'with', 'f00', 'it', 'is', 'proved', 'that', 'if', 'pfrac3215', 'and', 'under', 'appropriate', 'structural', 'assumptions', 'on', 'f', 'and', 'chi', 'for', 'all', 'sufficiently', 'smooth', 'initial', 'data', 'n_0c_0u_0', 'the', 'model', 'possesses', 'at', 'least', 'one', 'global', 'weak', 'solution']] | [-0.24442851980395539, 0.07019069641396389, 0.013452979016371748, -0.057186989257149774, -0.07245203581693901, -0.3301188232132582, -0.10457221777860376, 0.35471592435020616, -0.3281677174428948, -0.0020890835616173167, 0.19461713471059508, -0.4146589278196446, -0.006220102695291956, 0.12392678921995214, -0.053133749097322276, 0.12453451487376835, 0.06185596744233573, 0.04855874492410533, -0.040365343788789226, -0.1695509780141892, 0.3883071601049236, -0.29491919820018186, 0.13821973238196789, 0.10585308736637046, 0.11511677459489103, -0.03457580734693417, 0.20617965471488658, -0.07438236209705021, -0.3849453828465858, -0.11197511176813883, 0.24220472675832835, 0.03078257016875226, 0.33780117400667886, -0.40010987633293627, -0.16137652276930484, 0.20680530162321198, 0.12318291127531215, -0.16764953193922688, 0.0171214054700815, -0.3617627431798463, 0.15527240673992596, -0.015409490065366932, -0.21725937065602552, -0.02874435879045514, 0.14828884244115667, 0.06437708737182836, -0.49459804895550313, 0.19205969460120406, 0.14211130805544067, 0.028792104232266094, -0.202223486149439, -0.22812373514611725, -0.09553184154245889, -0.031923326522563446, -0.04281470712363682, 0.24389640719281755, -0.0479818182333603, -0.06800005754521775, 0.1265981759443277, 0.3414080780789708, -0.10031440001536122, -0.28279923399289447, 0.08606112692881414, -0.19797051775109287, -0.16198641795552138, 0.04559225503430523, 0.06936625493784444, 0.1676225277661073, -0.1668995800098837, 0.3412653994858218, -0.05644043715731852, 0.1329652799664987, 0.15542919311973483, -0.07102825311529967, -0.03737253942903169, 0.1075373776821476, 0.17817888700466772, 0.02817311415900335, 0.0126645601896341, 0.007373006859173377, -0.40556997753152946, -0.10039445057139741, -0.14537038893151952, 0.19829538969718147, -0.09448114795198151, -0.17619524928364866, 0.2008625797320609, 0.011746644378743239, 0.14263720995737145, 0.09049147449438508, 0.14549779643732677, 0.12695921138646268, -0.10937784704723104, 0.18895366974645342, -0.006756990089673887, 0.09191613707155215, 0.203063602686267, -0.27843079873069065, 0.014901046763465863, 0.15360135516910836] |
1,803.01989 | Relaxed highest-weight modules I: rank $1$ cases | Relaxed highest-weight modules play a central role in the study of many
important vertex operator (super)algebras and their associated (logarithmic)
conformal field theories, including the admissible-level affine models. Indeed,
their structure and their (super)characters together form the crucial input
data for the standard module formalism that describes the modular
transformations and Grothendieck fusion rules of such theories. In this
article, character formulae are proved for relaxed highest-weight modules over
the simple admissible-level affine vertex operator superalgebras associated to
$\mathfrak{sl}_2$ and $\mathfrak{osp}(1|2)$. Moreover, the structures of these
modules are specified completely. This proves several conjectural statements in
the literature for $\mathfrak{sl}_2$, at arbitrary admissible levels, and for
$\mathfrak{osp}(1|2)$ at level $-\frac{5}{4}$. For other admissible levels, the
$\mathfrak{osp}(1|2)$ results are believed to be new.
| math.RT hep-th math-ph math.MP math.QA | relaxed highestweight modules play a central role in the study of many important vertex operator superalgebras and their associated logarithmic conformal field theories including the admissiblelevel affine models indeed their structure and their supercharacters together form the crucial input data for the standard module formalism that describes the modular transformations and grothendieck fusion rules of such theories in this article character formulae are proved for relaxed highestweight modules over the simple admissiblelevel affine vertex operator superalgebras associated to mathfraksl_2 and mathfrakosp12 moreover the structures of these modules are specified completely this proves several conjectural statements in the literature for mathfraksl_2 at arbitrary admissible levels and for mathfrakosp12 at level frac54 for other admissible levels the mathfrakosp12 results are believed to be new | [['relaxed', 'highestweight', 'modules', 'play', 'a', 'central', 'role', 'in', 'the', 'study', 'of', 'many', 'important', 'vertex', 'operator', 'superalgebras', 'and', 'their', 'associated', 'logarithmic', 'conformal', 'field', 'theories', 'including', 'the', 'admissiblelevel', 'affine', 'models', 'indeed', 'their', 'structure', 'and', 'their', 'supercharacters', 'together', 'form', 'the', 'crucial', 'input', 'data', 'for', 'the', 'standard', 'module', 'formalism', 'that', 'describes', 'the', 'modular', 'transformations', 'and', 'grothendieck', 'fusion', 'rules', 'of', 'such', 'theories', 'in', 'this', 'article', 'character', 'formulae', 'are', 'proved', 'for', 'relaxed', 'highestweight', 'modules', 'over', 'the', 'simple', 'admissiblelevel', 'affine', 'vertex', 'operator', 'superalgebras', 'associated', 'to', 'mathfraksl_2', 'and', 'mathfrakosp12', 'moreover', 'the', 'structures', 'of', 'these', 'modules', 'are', 'specified', 'completely', 'this', 'proves', 'several', 'conjectural', 'statements', 'in', 'the', 'literature', 'for', 'mathfraksl_2', 'at', 'arbitrary', 'admissible', 'levels', 'and', 'for', 'mathfrakosp12', 'at', 'level', 'frac54', 'for', 'other', 'admissible', 'levels', 'the', 'mathfrakosp12', 'results', 'are', 'believed', 'to', 'be', 'new']] | [-0.14743932804558427, 0.08344695535615756, -0.0540199280968712, 0.11815033049982351, -0.1056597916292958, -0.17313466265720004, -0.049789604372684454, 0.358172656254222, -0.33206014716997745, -0.21581897409632803, 0.09563432730210479, -0.20896093980409206, -0.16881579610441502, 0.19492205984036748, -0.09547969202588623, 0.01357365419001629, 0.06686025447173355, 0.11791690742829815, -0.08462671093681516, -0.2795681120430042, 0.4050120568135753, 0.05666592955385567, 0.2693840690578024, 0.013673159441289802, 0.13489787499129308, 0.03471085960433508, -0.0429657052620314, -0.039676388384153445, -0.11070401346205472, 0.16747409069600205, 0.3725220274116206, 0.0663880028296262, 0.1880144660419319, -0.4120329826138914, -0.08791867249916928, 0.12250900303479284, 0.14885559044390295, 0.07146301473258063, -0.0015146644902415574, -0.2625602935285618, 0.10375109515928974, -0.22473768369139482, -0.14657966976519674, -0.09408974908292293, 0.031102063193490417, -0.03428182345232926, -0.2465452205806893, 0.03411053383606486, 0.09887604546189929, 0.09565335230436176, -0.13035231502726674, -0.1633763948145012, -0.055405095122599356, 0.1310509745264426, -0.05615263087674975, 0.0038511347561628402, 0.11416647878165047, -0.18145714037042732, -0.17407284397631884, 0.34291708722400166, 0.043306281425369283, -0.22452210777749618, 0.16092302493440608, -0.13330573994511116, -0.2179354731575586, 0.08284880729625002, 0.06708775263202066, 0.09395485492423176, -0.11555390491509267, 0.18357649966831863, -0.061206864084427555, -0.011792190516522775, 0.08915127735817804, 0.07668470789988836, 0.17942993431352078, 0.04089180665711562, 0.012502614757492363, 0.11706855572750403, 0.07868992810739049, -0.07382249314105138, -0.3933668522668692, -0.16871248523217824, -0.037257218981782594, 0.029920556774838285, -0.10893234209737178, -0.15105677183989125, 0.42503141005484696, 0.10677883857024426, 0.16669738469281584, 0.1292199322061303, 0.1641389763603608, 0.12767104563536122, 0.1625816899429386, 0.03458585338278984, 0.1507334454062705, 0.23255889031182353, -0.007321864083860419, -0.14764544497205254, -0.006523476781633993, 0.19106320728121015] |
1,803.0199 | The distance sum rule from strong lensing systems and quasars - test of
cosmic curvature and beyond | Testing the distance-sum-rule in strong lensing systems provides an
interesting method to determine the curvature parameter $\Omega_k$ using more
local objects. In this paper, we apply this method to a quite recent data set
of strong lensing systems in combination with intermediate-luminosity quasars
calibrated as standard rulers. In the framework of three types of lens models
extensively used in strong lensing studies (SIS model, power-law spherical
model, and extended power-law lens model), we show that the assumed lens model
has a considerable impact on the cosmic curvature constraint, which is found to
be compatible or marginally compatible with the flat case (depending on the
lens model adopted). Analysis of low, intermediate and high-mass sub-samples
defined according to the lens velocity dispersion demonstrates that, although
it is not reasonable to characterize all lenses with a uniform model, such
division has little impact on cosmic curvature inferred. Finally, thinking
about future when massive surveys will provide their yields, we simulated a
mock catalog of strong lensing systems expected to be seen by the LSST,
together with a realistic catalog of quasars. We found that with about 16000
such systems, combined with the distance information provided by 500 compact
milliarcsecond radio sources seen in future radio astronomical surveys, one
would be able to constrain the cosmic curvature with an accuracy of $\Delta
\Omega_k\simeq 10^{-3}$, which is comparable to the precision of
\textit{Planck} 2015 results.
| astro-ph.CO gr-qc | testing the distancesumrule in strong lensing systems provides an interesting method to determine the curvature parameter omega_k using more local objects in this paper we apply this method to a quite recent data set of strong lensing systems in combination with intermediateluminosity quasars calibrated as standard rulers in the framework of three types of lens models extensively used in strong lensing studies sis model powerlaw spherical model and extended powerlaw lens model we show that the assumed lens model has a considerable impact on the cosmic curvature constraint which is found to be compatible or marginally compatible with the flat case depending on the lens model adopted analysis of low intermediate and highmass subsamples defined according to the lens velocity dispersion demonstrates that although it is not reasonable to characterize all lenses with a uniform model such division has little impact on cosmic curvature inferred finally thinking about future when massive surveys will provide their yields we simulated a mock catalog of strong lensing systems expected to be seen by the lsst together with a realistic catalog of quasars we found that with about 16000 such systems combined with the distance information provided by 500 compact milliarcsecond radio sources seen in future radio astronomical surveys one would be able to constrain the cosmic curvature with an accuracy of delta omega_ksimeq 103 which is comparable to the precision of textitplanck 2015 results | [['testing', 'the', 'distancesumrule', 'in', 'strong', 'lensing', 'systems', 'provides', 'an', 'interesting', 'method', 'to', 'determine', 'the', 'curvature', 'parameter', 'omega_k', 'using', 'more', 'local', 'objects', 'in', 'this', 'paper', 'we', 'apply', 'this', 'method', 'to', 'a', 'quite', 'recent', 'data', 'set', 'of', 'strong', 'lensing', 'systems', 'in', 'combination', 'with', 'intermediateluminosity', 'quasars', 'calibrated', 'as', 'standard', 'rulers', 'in', 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1,803.01991 | Breaking the spectral degeneracies in black hole binaries with fast
timing data | The spectra of black hole binaries in the low/hard state are complex, with
evidence for multiple different Comptonisation regions contributing to the hard
X-rays in addition to a cool disc component. We show this explicitly for some
of the best RXTE data from Cyg X-1, where the spectrum strongly requires (at
least) two different Comptonisation components in order to fit the continuum
above 3 keV, where the disc does not contribute. However, it is difficult to
constrain the shapes of these Comptonisation components uniquely using spectral
data alone. Instead, we show that additional information from fast variability
can break this degeneracy. Specifically, we use the observed variability power
spectra in each energy channel to reconstruct the energy spectra of the
variability on timescales of ~10s, 1s and 0.1s. The two longer timescale
spectra have similar shapes, but the fastest component is dramatically harder,
and has strong curvature indicating that its seed photons are not from the cool
disc. We interpret this in the context of propagating fluctuations through a
hot flow, where the outer regions are cooler and optically thick, so that they
shield the inner region from the disc. The seed photons for the hot inner
region are then from the cooler Comptonisation region rather than the disc
itself.
| astro-ph.HE | the spectra of black hole binaries in the lowhard state are complex with evidence for multiple different comptonisation regions contributing to the hard xrays in addition to a cool disc component we show this explicitly for some of the best rxte data from cyg x1 where the spectrum strongly requires at least two different comptonisation components in order to fit the continuum above 3 kev where the disc does not contribute however it is difficult to constrain the shapes of these comptonisation components uniquely using spectral data alone instead we show that additional information from fast variability can break this degeneracy specifically we use the observed variability power spectra in each energy channel to reconstruct the energy spectra of the variability on timescales of 10s 1s and 01s the two longer timescale spectra have similar shapes but the fastest component is dramatically harder and has strong curvature indicating that its seed photons are not from the cool disc we interpret this in the context of propagating fluctuations through a hot flow where the outer regions are cooler and optically thick so that they shield the inner region from the disc the seed photons for the hot inner region are then from the cooler comptonisation region rather than the disc itself | [['the', 'spectra', 'of', 'black', 'hole', 'binaries', 'in', 'the', 'lowhard', 'state', 'are', 'complex', 'with', 'evidence', 'for', 'multiple', 'different', 'comptonisation', 'regions', 'contributing', 'to', 'the', 'hard', 'xrays', 'in', 'addition', 'to', 'a', 'cool', 'disc', 'component', 'we', 'show', 'this', 'explicitly', 'for', 'some', 'of', 'the', 'best', 'rxte', 'data', 'from', 'cyg', 'x1', 'where', 'the', 'spectrum', 'strongly', 'requires', 'at', 'least', 'two', 'different', 'comptonisation', 'components', 'in', 'order', 'to', 'fit', 'the', 'continuum', 'above', '3', 'kev', 'where', 'the', 'disc', 'does', 'not', 'contribute', 'however', 'it', 'is', 'difficult', 'to', 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1,803.01992 | All-dielectric active photonics driven by bound states in the continuum | Recently emerged dielectric resonators and metasurfaces offer a low-loss
platform for efficient manipulation of electromagnetic waves from microwave to
visible. Such flat meta-optics can focus electromagnetic waves, generate
structured beams and vortices, enhance local fields for sensing as well as
provide additional functionalities for advanced MRI machinery. Recent advances
are associated with exotic optical modes called bound states in the continuum,
which can give rise to extremely large quality factors and supercavity lasing.
Here, we experimentally demonstrate subwavelength active supercavities with
extremely high-Q resonances that could be reconfigured at an ultrafast time
scale. We reveal that such supercavities enable all-optical switching and
modulation of extremely sharp resonances, and thus could have numerous
applications in lasing, mode multiplexing, and biosensing.
| physics.optics | recently emerged dielectric resonators and metasurfaces offer a lowloss platform for efficient manipulation of electromagnetic waves from microwave to visible such flat metaoptics can focus electromagnetic waves generate structured beams and vortices enhance local fields for sensing as well as provide additional functionalities for advanced mri machinery recent advances are associated with exotic optical modes called bound states in the continuum which can give rise to extremely large quality factors and supercavity lasing here we experimentally demonstrate subwavelength active supercavities with extremely highq resonances that could be reconfigured at an ultrafast time scale we reveal that such supercavities enable alloptical switching and modulation of extremely sharp resonances and thus could have numerous applications in lasing mode multiplexing and biosensing | [['recently', 'emerged', 'dielectric', 'resonators', 'and', 'metasurfaces', 'offer', 'a', 'lowloss', 'platform', 'for', 'efficient', 'manipulation', 'of', 'electromagnetic', 'waves', 'from', 'microwave', 'to', 'visible', 'such', 'flat', 'metaoptics', 'can', 'focus', 'electromagnetic', 'waves', 'generate', 'structured', 'beams', 'and', 'vortices', 'enhance', 'local', 'fields', 'for', 'sensing', 'as', 'well', 'as', 'provide', 'additional', 'functionalities', 'for', 'advanced', 'mri', 'machinery', 'recent', 'advances', 'are', 'associated', 'with', 'exotic', 'optical', 'modes', 'called', 'bound', 'states', 'in', 'the', 'continuum', 'which', 'can', 'give', 'rise', 'to', 'extremely', 'large', 'quality', 'factors', 'and', 'supercavity', 'lasing', 'here', 'we', 'experimentally', 'demonstrate', 'subwavelength', 'active', 'supercavities', 'with', 'extremely', 'highq', 'resonances', 'that', 'could', 'be', 'reconfigured', 'at', 'an', 'ultrafast', 'time', 'scale', 'we', 'reveal', 'that', 'such', 'supercavities', 'enable', 'alloptical', 'switching', 'and', 'modulation', 'of', 'extremely', 'sharp', 'resonances', 'and', 'thus', 'could', 'have', 'numerous', 'applications', 'in', 'lasing', 'mode', 'multiplexing', 'and', 'biosensing']] | [-0.1459390817918353, 0.2195108412353355, -0.05780901330984941, 0.006409529559392513, -0.134747384879112, -0.20146079970124578, -0.0002244701687277866, 0.4981614031492412, -0.21742008067667484, -0.3092790906104267, 0.0903752795518415, -0.23527253101415493, -0.19724242004151105, 0.2773779498241028, -0.0007113177552349677, 0.10652111594353904, 0.015431614852893879, -0.08869896285861859, 0.07270826830160844, -0.08912219756258165, 0.19838599344136335, 0.06994276673179864, 0.34662036742905483, 0.07813997776443217, 0.10350625097219433, -0.03071377651928337, 0.04737620605860187, -0.058155115775004845, -0.06170485908727596, 0.1486568176593561, 0.33582074215494784, 0.03373988852797061, 0.23629159321851967, -0.515727996763562, -0.26466021834317, 0.03937520570622585, 0.22913950701300917, 0.18016951135457532, -0.1591929415115664, -0.3053573018268627, 0.05933240574134999, -0.11365270004764262, -0.15017059622645504, -0.18298362890461914, -0.00025085051360094, 0.02574772941009259, -0.2789880390183124, -0.006970712022871531, 0.019323153849769414, 0.04792781952893784, -0.03628348800776323, -0.05784320421790814, 0.04331308363216827, 0.05180160631230023, -0.06102666936564345, -0.018704708633326118, 0.17240676520580128, -0.14684816216414073, -0.18723768161750642, 0.3368808097918244, -0.07466211740099707, -0.09456571774799846, 0.21619852957268784, -0.12003491096151601, -0.02977883381409054, 0.16966621125383036, 0.2632615596149899, 0.08353912657001565, -0.08728687449538407, 0.02448555257097043, 0.03412099277694561, 0.16879639409858138, 0.157175735754407, 0.25037117873733283, 0.28175336982225296, 0.18640232536973073, 0.0485712349661352, 0.13293461067682258, -0.07983746265399684, 0.05418954040471684, -0.20250507518492578, -0.1494804621011825, -0.15815821668096944, 0.07583715710319391, -0.054552877577170415, -0.1681707533225104, 0.37453729023828225, 0.1253276039345362, 0.15705763301499062, -0.05287304290417707, 0.3082515931680423, 0.07670397108553775, 0.13673599272136802, 0.027011225612427133, 0.3439512647250119, 0.1543997359939483, 0.12269088121898034, -0.20370150428899259, -0.03267091250403181, -0.08115460486112147] |
1,803.01993 | Inconsistencies in the Electronic Properties of Phosphorene Nanotubes:
New Insights from Large-Scale DFT Calculations | Contrary to recent reports, we show that the electronic properties of
phosphorene nanotubes are surprisingly rich and much more complex than
previously assumed. We find that all phosphorene nanotubes exhibit an intricate
direct-to-indirect bandgap transition as the nanotube diameter decreases - a
unique property not identified in any prior studies (which claimed either
direct or indirect band gaps only) that we uncover with large-scale DFT
calculations. We address these previous inconsistencies by detailed analyses of
orbital interactions, which reveal that the strain associated with decreasing
the nanotube diameter causes a transition from a direct to an indirect band gap
for all of the phosphorene nanotubes. We show that our findings are completely
general, and extensive calculations across several exchange-correlation
functionals verify our conclusions. Most importantly, our results and analyses
resolve a long-standing question on the electronic properties of phosphorus
nanotubes and brings closure to previously conflicting findings in these unique
nanostructures.
| cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph | contrary to recent reports we show that the electronic properties of phosphorene nanotubes are surprisingly rich and much more complex than previously assumed we find that all phosphorene nanotubes exhibit an intricate directtoindirect bandgap transition as the nanotube diameter decreases a unique property not identified in any prior studies which claimed either direct or indirect band gaps only that we uncover with largescale dft calculations we address these previous inconsistencies by detailed analyses of orbital interactions which reveal that the strain associated with decreasing the nanotube diameter causes a transition from a direct to an indirect band gap for all of the phosphorene nanotubes we show that our findings are completely general and extensive calculations across several exchangecorrelation functionals verify our conclusions most importantly our results and analyses resolve a longstanding question on the electronic properties of phosphorus nanotubes and brings closure to previously conflicting findings in these unique nanostructures | [['contrary', 'to', 'recent', 'reports', 'we', 'show', 'that', 'the', 'electronic', 'properties', 'of', 'phosphorene', 'nanotubes', 'are', 'surprisingly', 'rich', 'and', 'much', 'more', 'complex', 'than', 'previously', 'assumed', 'we', 'find', 'that', 'all', 'phosphorene', 'nanotubes', 'exhibit', 'an', 'intricate', 'directtoindirect', 'bandgap', 'transition', 'as', 'the', 'nanotube', 'diameter', 'decreases', 'a', 'unique', 'property', 'not', 'identified', 'in', 'any', 'prior', 'studies', 'which', 'claimed', 'either', 'direct', 'or', 'indirect', 'band', 'gaps', 'only', 'that', 'we', 'uncover', 'with', 'largescale', 'dft', 'calculations', 'we', 'address', 'these', 'previous', 'inconsistencies', 'by', 'detailed', 'analyses', 'of', 'orbital', 'interactions', 'which', 'reveal', 'that', 'the', 'strain', 'associated', 'with', 'decreasing', 'the', 'nanotube', 'diameter', 'causes', 'a', 'transition', 'from', 'a', 'direct', 'to', 'an', 'indirect', 'band', 'gap', 'for', 'all', 'of', 'the', 'phosphorene', 'nanotubes', 'we', 'show', 'that', 'our', 'findings', 'are', 'completely', 'general', 'and', 'extensive', 'calculations', 'across', 'several', 'exchangecorrelation', 'functionals', 'verify', 'our', 'conclusions', 'most', 'importantly', 'our', 'results', 'and', 'analyses', 'resolve', 'a', 'longstanding', 'question', 'on', 'the', 'electronic', 'properties', 'of', 'phosphorus', 'nanotubes', 'and', 'brings', 'closure', 'to', 'previously', 'conflicting', 'findings', 'in', 'these', 'unique', 'nanostructures']] | [-0.12502848027817284, 0.07857444383145776, -0.05870336363906972, 0.02886076203081757, -0.0665118618371586, -0.12660108348354698, 0.11612908202533921, 0.4816410630941391, -0.23951165519111478, -0.31691112304416796, 0.02195282079046592, -0.33167859217268414, -0.210784432447205, 0.1858217266186451, 0.01808150946162641, 0.016515180975353965, 0.11001016916707158, -0.07554226713643099, -0.10519293868759026, -0.18270453636626674, 0.27164306439459324, 0.05907681274227798, 0.29152544078727566, 0.1436666667057822, -0.033072562031447886, -0.038651039325826184, 0.021069980782146256, 0.06278358733591934, -0.21014706025021346, 0.12465372002062698, 0.25510680028547844, -0.025256867536033192, 0.24721496149897576, -0.4721238000690937, -0.25833941717942555, 0.02143978754679362, 0.13514289458592732, 0.15043001151798913, -0.07747551527854132, -0.2718655167520046, 0.12072733027860522, -0.14116136173756483, -0.09374754327504585, -0.10779308926314116, 0.004469339394321045, 0.0017013433032358686, -0.1801115370138238, 0.07301786618928115, 0.06706324266269803, 0.029255882854631637, -0.11342937144295623, -0.18047366574639453, -0.06358258278574795, 0.08240305513919642, 0.0875495282188058, -0.0063721355982124805, 0.1708801222903033, -0.08654289592678348, -0.1389235837982657, 0.36148761079491426, -0.01321786049879544, -0.09459753099828959, 0.2350546935480088, -0.1694433503295295, -0.15983906404736142, 0.141979705914855, 0.05457158216896157, 0.10457421301553647, -0.12387036461383104, 0.026029993250655633, -0.060749765344274544, 0.22087555865446726, 0.05144586827295522, 0.09841757054945144, 0.23284346629244587, 0.15080861213617028, 0.060967014009753864, 0.07627963813177, -0.044573997788053626, -0.054233103692531585, -0.19150653909270962, -0.17815779617677133, -0.1920564099603022, 0.0897094096368528, -0.06606263902736828, -0.20991633793960016, 0.38617949225008485, 0.16840151513771465, 0.18796528997520606, 0.004292780536343343, 0.22194396112579853, 0.05327446888977041, 0.10755510934938987, 0.02214100065951546, 0.29996020383395566, 0.1416971006244421, 0.042562464515989024, -0.21700589309756954, 0.07515225410849477, -0.07484160315866271] |
1,803.01994 | Halogen Bonding Interactions: Revised Benchmarks and a New Assessment of
Exchange vs. Dispersion | We present a new analysis of exchange and dispersion effects for calculating
halogen-bonding interactions in a wide variety of complex dimers (69 total)
within the XB18 and XB51 benchmark sets. Contrary to previous work on these
systems, we find that dispersion plays a more significant role than exact
exchange in accurately calculating halogen-bonding interaction energies, which
are further confirmed by extensive SAPT analyses. In particular, we find that
even if the amount of exact exchange is non-empirically tuned to satisfy known
DFT constraints, we still observe an overall improvement in predicting
dissociation energies when dispersion corrections are applied, in stark
contrast to previous studies (J. Chem. Theory Comput. 2013, 9, 1918-1931). In
addition to these new analyses, we correct several (14) inconsistencies in the
XB51 set, which is widely used in the scientific literature for developing and
benchmarking various DFT methods. Together, these new analyses and revised
benchmarks emphasize the importance of dispersion and provide corrected
reference values that are essential for developing/parameterizing new DFT
functionals specifically for complex halogen-bonding interactions.
| physics.chem-ph physics.atm-clus | we present a new analysis of exchange and dispersion effects for calculating halogenbonding interactions in a wide variety of complex dimers 69 total within the xb18 and xb51 benchmark sets contrary to previous work on these systems we find that dispersion plays a more significant role than exact exchange in accurately calculating halogenbonding interaction energies which are further confirmed by extensive sapt analyses in particular we find that even if the amount of exact exchange is nonempirically tuned to satisfy known dft constraints we still observe an overall improvement in predicting dissociation energies when dispersion corrections are applied in stark contrast to previous studies j chem theory comput 2013 9 19181931 in addition to these new analyses we correct several 14 inconsistencies in the xb51 set which is widely used in the scientific literature for developing and benchmarking various dft methods together these new analyses and revised benchmarks emphasize the importance of dispersion and provide corrected reference values that are essential for developingparameterizing new dft functionals specifically for complex halogenbonding interactions | [['we', 'present', 'a', 'new', 'analysis', 'of', 'exchange', 'and', 'dispersion', 'effects', 'for', 'calculating', 'halogenbonding', 'interactions', 'in', 'a', 'wide', 'variety', 'of', 'complex', 'dimers', '69', 'total', 'within', 'the', 'xb18', 'and', 'xb51', 'benchmark', 'sets', 'contrary', 'to', 'previous', 'work', 'on', 'these', 'systems', 'we', 'find', 'that', 'dispersion', 'plays', 'a', 'more', 'significant', 'role', 'than', 'exact', 'exchange', 'in', 'accurately', 'calculating', 'halogenbonding', 'interaction', 'energies', 'which', 'are', 'further', 'confirmed', 'by', 'extensive', 'sapt', 'analyses', 'in', 'particular', 'we', 'find', 'that', 'even', 'if', 'the', 'amount', 'of', 'exact', 'exchange', 'is', 'nonempirically', 'tuned', 'to', 'satisfy', 'known', 'dft', 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-0.19838442643879947, 0.03896123476898724, 0.005051519430006843] |
1,803.01995 | Unusual Bandgap Oscillations in Template-Directed {\pi}-Conjugated
Porphyrin Nanotubes | Using large-scale DFT calculations (up to 1,476 atoms and 18,432 orbitals),
we present the first detailed analysis on the unusual electronic properties of
recently synthesized porphyrin nanotubes. We surprisingly observe extremely
large oscillations in the bandgap of these nanostructures as a function of
size, in contradiction to typical quantum confinement effects (i.e., the
bandgap increases with size in several of these nanotubes). In particular, we
find that these intriguing electronic oscillations arise from a size-dependent
alternation of aromatic/non-aromatic characteristics in these porphyrin
nanotubes. Our analyses of band structures and orbital diagrams indicate that
the electronic transitions in these nanostructures are direct-bandgap,
optically active "bright" states that can be readily observed in photoelectron
spectroscopic experiments. Most importantly due to their unusual bandgap
oscillations, we find that both type I and type II donor-acceptor p-n
heterojunctions are possible in these template-directed, "bottom-up
synthesized" porphyrin nanotubes - a unique property that is not present in
conventional carbon nanotubes.
| cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph | using largescale dft calculations up to 1476 atoms and 18432 orbitals we present the first detailed analysis on the unusual electronic properties of recently synthesized porphyrin nanotubes we surprisingly observe extremely large oscillations in the bandgap of these nanostructures as a function of size in contradiction to typical quantum confinement effects ie the bandgap increases with size in several of these nanotubes in particular we find that these intriguing electronic oscillations arise from a sizedependent alternation of aromaticnonaromatic characteristics in these porphyrin nanotubes our analyses of band structures and orbital diagrams indicate that the electronic transitions in these nanostructures are directbandgap optically active bright states that can be readily observed in photoelectron spectroscopic experiments most importantly due to their unusual bandgap oscillations we find that both type i and type ii donoracceptor pn heterojunctions are possible in these templatedirected bottomup synthesized porphyrin nanotubes a unique property that is not present in conventional carbon nanotubes | [['using', 'largescale', 'dft', 'calculations', 'up', 'to', '1476', 'atoms', 'and', '18432', 'orbitals', 'we', 'present', 'the', 'first', 'detailed', 'analysis', 'on', 'the', 'unusual', 'electronic', 'properties', 'of', 'recently', 'synthesized', 'porphyrin', 'nanotubes', 'we', 'surprisingly', 'observe', 'extremely', 'large', 'oscillations', 'in', 'the', 'bandgap', 'of', 'these', 'nanostructures', 'as', 'a', 'function', 'of', 'size', 'in', 'contradiction', 'to', 'typical', 'quantum', 'confinement', 'effects', 'ie', 'the', 'bandgap', 'increases', 'with', 'size', 'in', 'several', 'of', 'these', 'nanotubes', 'in', 'particular', 'we', 'find', 'that', 'these', 'intriguing', 'electronic', 'oscillations', 'arise', 'from', 'a', 'sizedependent', 'alternation', 'of', 'aromaticnonaromatic', 'characteristics', 'in', 'these', 'porphyrin', 'nanotubes', 'our', 'analyses', 'of', 'band', 'structures', 'and', 'orbital', 'diagrams', 'indicate', 'that', 'the', 'electronic', 'transitions', 'in', 'these', 'nanostructures', 'are', 'directbandgap', 'optically', 'active', 'bright', 'states', 'that', 'can', 'be', 'readily', 'observed', 'in', 'photoelectron', 'spectroscopic', 'experiments', 'most', 'importantly', 'due', 'to', 'their', 'unusual', 'bandgap', 'oscillations', 'we', 'find', 'that', 'both', 'type', 'i', 'and', 'type', 'ii', 'donoracceptor', 'pn', 'heterojunctions', 'are', 'possible', 'in', 'these', 'templatedirected', 'bottomup', 'synthesized', 'porphyrin', 'nanotubes', 'a', 'unique', 'property', 'that', 'is', 'not', 'present', 'in', 'conventional', 'carbon', 'nanotubes']] | [-0.12046035754457607, 0.15026919993473903, -0.03750514918570652, 0.03372427935698254, -0.006154179266702972, -0.1320853137907474, 0.10131959149332129, 0.4952781726851275, -0.2599427139142982, -0.3049879919072785, -0.00391373495796487, -0.3085740243745692, -0.18439547395897343, 0.17309794008983054, 0.022784343939795355, 0.01989385272042311, 0.07829057290004321, -0.11974530265127357, -0.07559273936548332, -0.14503168682629047, 0.2462780964775256, 0.011940818980771215, 0.2880216226974306, 0.09380840458968458, -0.007425578452009512, -0.07033291781676541, 0.09383809269332376, 0.051279452151471845, -0.1418923381585333, 0.12624992651054576, 0.2855898216428039, -0.05391540914761687, 0.19284952410472264, -0.4952762393942593, -0.1997923019072531, 0.007444450700667834, 0.18497512111513825, 0.18106201305789382, -0.10470674055288423, -0.2549178350355329, 0.09021204305616648, -0.1307923268453267, -0.09823228513950628, -0.10319697964587249, 0.033699448588059136, 0.05293218408846051, -0.16524608869191357, 0.09025174758464441, 0.021767280891684716, 0.06674306629271373, -0.09832616018799231, -0.15751770105960436, -0.07983408917176635, 0.0500954065692464, 0.01783097080586135, -0.05999384141116599, 0.1891552731210954, -0.09157972529876708, -0.12031335070940641, 0.3972532492878504, -0.04976529268989045, -0.05255982795068504, 0.20004096370202637, -0.17328486827548323, -0.146363664505196, 0.1632606574720213, 0.09573159614381821, 0.13134991548691974, -0.12783137034153028, 0.030890685768482445, -0.025706043260135248, 0.1853609804100798, 0.06892001133957437, 0.14676273430660858, 0.24548701023511393, 0.17841050121473687, -0.020541055814216013, 0.10969692214597385, -0.12469768253657476, -0.025363091461354327, -0.20595773630836783, -0.1886708124228263, -0.19291088673114581, 0.0914873668662997, -0.04683455682367678, -0.22345565369132123, 0.4082157868573344, 0.12075599553186055, 0.17226277446235672, -0.04843198523188843, 0.18939487436804675, 0.06255035742345315, 0.12735936036609163, -0.020272831636248156, 0.2895855057714997, 0.140191445438081, 0.08135525212243297, -0.2824959465697726, 0.056838546533407155, -0.04203969727907526] |
1,803.01996 | The Importance of Short- and Long-Range Exchange on Various Excited
State Properties of DNA Monomers, Stacked Complexes, and Watson-Crick Pairs | We present a detailed analysis of several time-dependent DFT (TD-DFT)
methods, including conventional hybrid functionals and two types of
non-empirically tuned range-separated functionals, for predicting a diverse set
of electronic excitations in DNA nucleobase monomers and dimers. This large and
extensive set of excitations comprises a total of 50 different transitions (for
each tested DFT functional) that includes several n $\rightarrow$ {\pi} and
{\pi} $\rightarrow$ {\pi}* valence excitations, long-range charge-transfer
excitations, and extended Rydberg transitions (complete with benchmark
calculations from high-level EOM-CCSD(T) methods). The presence of localized
valence excitations as well as extreme long-range charge-transfer excitations
in these systems poses a serious challenge for TD-DFT methods that allows us to
assess the importance of both short- and long-range exchange contributions for
simultaneously predicting all of these various transitions. In particular, we
find that functionals that do not have both short- and full long-range exchange
components are unable to predict the different types of nucleobase excitations
with the same accuracy. Most importantly, the current study highlights the
importance of both short-range exchange and a non-empirically tuned
contribution of long-range exchange for accurately predicting the diverse
excitations in these challenging nucleobase systems.
| physics.chem-ph physics.atm-clus physics.bio-ph | we present a detailed analysis of several timedependent dft tddft methods including conventional hybrid functionals and two types of nonempirically tuned rangeseparated functionals for predicting a diverse set of electronic excitations in dna nucleobase monomers and dimers this large and extensive set of excitations comprises a total of 50 different transitions for each tested dft functional that includes several n rightarrow pi and pi rightarrow pi valence excitations longrange chargetransfer excitations and extended rydberg transitions complete with benchmark calculations from highlevel eomccsdt methods the presence of localized valence excitations as well as extreme longrange chargetransfer excitations in these systems poses a serious challenge for tddft methods that allows us to assess the importance of both short and longrange exchange contributions for simultaneously predicting all of these various transitions in particular we find that functionals that do not have both short and full longrange exchange components are unable to predict the different types of nucleobase excitations with the same accuracy most importantly the current study highlights the importance of both shortrange exchange and a nonempirically tuned contribution of longrange exchange for accurately predicting the diverse excitations in these challenging nucleobase systems | [['we', 'present', 'a', 'detailed', 'analysis', 'of', 'several', 'timedependent', 'dft', 'tddft', 'methods', 'including', 'conventional', 'hybrid', 'functionals', 'and', 'two', 'types', 'of', 'nonempirically', 'tuned', 'rangeseparated', 'functionals', 'for', 'predicting', 'a', 'diverse', 'set', 'of', 'electronic', 'excitations', 'in', 'dna', 'nucleobase', 'monomers', 'and', 'dimers', 'this', 'large', 'and', 'extensive', 'set', 'of', 'excitations', 'comprises', 'a', 'total', 'of', '50', 'different', 'transitions', 'for', 'each', 'tested', 'dft', 'functional', 'that', 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1,803.01997 | Mathematical modeling and analysis of the pathway network consisting of
symmetrical complexes with N monomers, like the activation of MMP2 | The activation of matrix metalloproteinase 2 (MMP2) is a crucial event during
tumor metastasis and invasion, and this pathway network consists of 3 monomers.
The pathway network of the activation obeys to a set of specified reaction
rules. According to the rules, the individual molecules localize in a
particular order and symmetrically around a homodimer following the formation
of that dimer. We generalized the homodimer pathway network obeying to similar
reaction rules, by changing the number of monomers involved in this pathway
from 3 to N. At the previous work, we found the molecules in the pathway
network are classified to some reaction groups. We derived the law of mass
conservation between the groups. Each group concentration converges to its
equilibrium solution. Using these results, we derive the concentrations of the
complexes theoretically and reveal that each complex concentration converges to
its equilibrium value. We can say the pathway network with homodimer symmetric
form complexes is asymptotic stable and identify the regulator parameter of the
target complex in the network. Our mathematical approach may help us understand
the mechanism of this type pathway network by knowing the background
mathematical laws which govern this type pathway network.
| q-bio.BM q-bio.MN | the activation of matrix metalloproteinase 2 mmp2 is a crucial event during tumor metastasis and invasion and this pathway network consists of 3 monomers the pathway network of the activation obeys to a set of specified reaction rules according to the rules the individual molecules localize in a particular order and symmetrically around a homodimer following the formation of that dimer we generalized the homodimer pathway network obeying to similar reaction rules by changing the number of monomers involved in this pathway from 3 to n at the previous work we found the molecules in the pathway network are classified to some reaction groups we derived the law of mass conservation between the groups each group concentration converges to its equilibrium solution using these results we derive the concentrations of the complexes theoretically and reveal that each complex concentration converges to its equilibrium value we can say the pathway network with homodimer symmetric form complexes is asymptotic stable and identify the regulator parameter of the target complex in the network our mathematical approach may help us understand the mechanism of this type pathway network by knowing the background mathematical laws which govern this type pathway network | [['the', 'activation', 'of', 'matrix', 'metalloproteinase', '2', 'mmp2', 'is', 'a', 'crucial', 'event', 'during', 'tumor', 'metastasis', 'and', 'invasion', 'and', 'this', 'pathway', 'network', 'consists', 'of', '3', 'monomers', 'the', 'pathway', 'network', 'of', 'the', 'activation', 'obeys', 'to', 'a', 'set', 'of', 'specified', 'reaction', 'rules', 'according', 'to', 'the', 'rules', 'the', 'individual', 'molecules', 'localize', 'in', 'a', 'particular', 'order', 'and', 'symmetrically', 'around', 'a', 'homodimer', 'following', 'the', 'formation', 'of', 'that', 'dimer', 'we', 'generalized', 'the', 'homodimer', 'pathway', 'network', 'obeying', 'to', 'similar', 'reaction', 'rules', 'by', 'changing', 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1,803.01998 | Dwarf irregular galaxies with extended HI gas disks: Suppression of
small-scale spiral structure by dark matter halo | Dwarf irregular galaxies with extended HI disk distributions, such as DDO
154, allow measurement of rotation curves, hence deduction of dark matter halo
properties to large radial distances, up to several times the optical radius.
These galaxies contain a huge reservoir of dark matter halo, which dominates
over most of disk. We study the effect of the dark matter halo on small-scale
spiral features by carrying out the local, non-axisymmetric perturbation
analysis in the disks of five such late-type, gas-rich dwarf irregular
galaxies, namely, DDO 154, NGC 3741, DDO 43, NGC 2366, and DDO 168 which host a
dense and compact dark matter halo. We show that when the gas disk is treated
alone, it allows a finite swing amplification; which would result in
small-scale spiral structure in the outer gas disk, but the addition of dark
matter halo in the analysis results in a higher Toomre Q parameter which
prevents the amplification almost completely. This trend is also seen to be
true in regions inside the optical radius. This implies absence of strong
small-scale spiral arms in these galaxies, which is in agreement with
observations. Hence despite being gas-rich, and in fact having gas as the main
baryonic component, these galaxies cannot support small-scale spiral structure
which would otherwise have been expected in normal gas-rich galaxies.
| astro-ph.GA | dwarf irregular galaxies with extended hi disk distributions such as ddo 154 allow measurement of rotation curves hence deduction of dark matter halo properties to large radial distances up to several times the optical radius these galaxies contain a huge reservoir of dark matter halo which dominates over most of disk we study the effect of the dark matter halo on smallscale spiral features by carrying out the local nonaxisymmetric perturbation analysis in the disks of five such latetype gasrich dwarf irregular galaxies namely ddo 154 ngc 3741 ddo 43 ngc 2366 and ddo 168 which host a dense and compact dark matter halo we show that when the gas disk is treated alone it allows a finite swing amplification which would result in smallscale spiral structure in the outer gas disk but the addition of dark matter halo in the analysis results in a higher toomre q parameter which prevents the amplification almost completely this trend is also seen to be true in regions inside the optical radius this implies absence of strong smallscale spiral arms in these galaxies which is in agreement with observations hence despite being gasrich and in fact having gas as the main baryonic component these galaxies cannot support smallscale spiral structure which would otherwise have been expected in normal gasrich galaxies | [['dwarf', 'irregular', 'galaxies', 'with', 'extended', 'hi', 'disk', 'distributions', 'such', 'as', 'ddo', '154', 'allow', 'measurement', 'of', 'rotation', 'curves', 'hence', 'deduction', 'of', 'dark', 'matter', 'halo', 'properties', 'to', 'large', 'radial', 'distances', 'up', 'to', 'several', 'times', 'the', 'optical', 'radius', 'these', 'galaxies', 'contain', 'a', 'huge', 'reservoir', 'of', 'dark', 'matter', 'halo', 'which', 'dominates', 'over', 'most', 'of', 'disk', 'we', 'study', 'the', 'effect', 'of', 'the', 'dark', 'matter', 'halo', 'on', 'smallscale', 'spiral', 'features', 'by', 'carrying', 'out', 'the', 'local', 'nonaxisymmetric', 'perturbation', 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1,803.01999 | ABC and Indirect Inference | This chapter will appear in the forthcoming Handbook of Approximate Bayesian
Computation (2018).
Indirect inference (II) is a classical likelihood-free approach that
pre-dates the main developments of ABC and relies on simulation from a
parametric model of interest to determine point estimates of the parameters. It
is not surprising then that some likelihood-free Bayesian approaches have
harnessed the II literature. This chapter provides an introduction to II and
details the connections between ABC and II. A particular focus is placed on the
use of an auxiliary model with a tractable likelihood function, an approach
commonly adopted in the II literature, to facilitate likelihood-free Bayesian
inferences.
| stat.CO stat.ME | this chapter will appear in the forthcoming handbook of approximate bayesian computation 2018 indirect inference ii is a classical likelihoodfree approach that predates the main developments of abc and relies on simulation from a parametric model of interest to determine point estimates of the parameters it is not surprising then that some likelihoodfree bayesian approaches have harnessed the ii literature this chapter provides an introduction to ii and details the connections between abc and ii a particular focus is placed on the use of an auxiliary model with a tractable likelihood function an approach commonly adopted in the ii literature to facilitate likelihoodfree bayesian inferences | [['this', 'chapter', 'will', 'appear', 'in', 'the', 'forthcoming', 'handbook', 'of', 'approximate', 'bayesian', 'computation', '2018', 'indirect', 'inference', 'ii', 'is', 'a', 'classical', 'likelihoodfree', 'approach', 'that', 'predates', 'the', 'main', 'developments', 'of', 'abc', 'and', 'relies', 'on', 'simulation', 'from', 'a', 'parametric', 'model', 'of', 'interest', 'to', 'determine', 'point', 'estimates', 'of', 'the', 'parameters', 'it', 'is', 'not', 'surprising', 'then', 'that', 'some', 'likelihoodfree', 'bayesian', 'approaches', 'have', 'harnessed', 'the', 'ii', 'literature', 'this', 'chapter', 'provides', 'an', 'introduction', 'to', 'ii', 'and', 'details', 'the', 'connections', 'between', 'abc', 'and', 'ii', 'a', 'particular', 'focus', 'is', 'placed', 'on', 'the', 'use', 'of', 'an', 'auxiliary', 'model', 'with', 'a', 'tractable', 'likelihood', 'function', 'an', 'approach', 'commonly', 'adopted', 'in', 'the', 'ii', 'literature', 'to', 'facilitate', 'likelihoodfree', 'bayesian', 'inferences']] | [-0.02311931569350972, -0.025660080986701705, -0.084326178802266, 0.0863972779951014, -0.14064416246754782, -0.15515131940788013, 0.06633793468631449, 0.3598084717988968, -0.26118104480916543, -0.32788122840935274, 0.12685089395048896, -0.21956448803345363, -0.19602910212817645, 0.18715074493860204, -0.09103341426761333, 0.03687859181580799, 0.08823685382625886, -0.007877519150220212, -0.09060542451528211, -0.25370275642101964, 0.27823606129913103, 0.10755290492836918, 0.29517928346814143, -0.0086560665497451, 0.05720285393652462, 0.015839984817873864, -0.08727292760851837, 0.0007432330399751663, -0.2064681010194666, 0.1939668456624661, 0.25858970291557765, 0.20476162637184772, 0.3475508238588061, -0.42046789780613925, -0.19238518812649308, 0.10898771490125607, 0.17201746716385796, 0.1382364296066087, -0.02526002086565963, -0.263629577894296, 0.017414968194706098, -0.17800589527358257, -0.07857854698418773, -0.06432487388097105, 0.0024573104544764472, 0.025742949396494838, -0.28525783414287226, 0.038819712595570655, 0.06568428987548465, 0.06002076841181233, 0.036214343601161436, -0.160479256461951, 0.028000202615346227, 0.055628986426052594, 0.04211095862888864, 0.028443994719002927, 0.08221400012040422, -0.13884705497129332, -0.14150780610119304, 0.31873369997400525, -0.01572870627223026, -0.19207986035339888, 0.1801491146375026, -0.012659818594831796, -0.20136559107340873, 0.06669109590528977, 0.17213001703133896, 0.13174892665729637, -0.1824838256552106, 0.13610134847473265, -0.0077718547323629966, 0.1658909730516219, -0.04685333049856126, -0.05642968426857676, 0.2083349415234157, 0.18992872461454854, 0.057664210626500706, 0.0851130681644593, -0.12259887917898596, -0.14669577629205638, -0.34495183550974445, -0.15642504747070018, -0.18722233315486284, 0.008474232711125209, -0.05341715114149598, -0.21052562563868593, 0.3587194471486977, 0.2407102370030424, 0.19350461505929983, 0.030219451109656976, 0.30425313396734144, 0.11680180419435991, 0.00974472481480223, 0.04081686315171066, 0.2617883636009148, 0.1377567105771353, 0.09013209695528661, -0.108576423211378, 0.10441734966810881, 0.025306415664298195] |
1,803.02 | Indirect strong coupling regime between a quantum dot and a nanocavity
mediated by a mechanical resonator | Achieving strong coupling between light and matter is usually a challenge in
Cavity Quantum Electrodynamics (cQED), especially in solid state systems. For
this reason is useful taking advantage of alternative approaches to reach this
regime, and then, generate reliable quantum polaritons. In this work we study a
system composed of a quantized single mode of a mechanical resonator
interacting linearly with both a single mode nanocavity and a two-level single
quantum dot. In particular, we focus on the behavior of the indirect
light-matter interaction when the phonon mode interfaces both parts. By
diagonalization of the Hamiltonian and computing the density matrix in a master
equation approach, we evidence several features of strong coupling between
photons in optical cavities and excitons in a quantum dot. For large energy
detuning between the cavity and the mechanical resonator it is obtained a
phonon-dispersive effective Hamiltonian which is able to retrieve much of the
physics of the conventional Jaynes-Cummings model (JCM). In order to
characterize this mediated coupling, we make a quantitative comparison between
both models and analyze light-matter entanglement and purity of the system
leading to similar results in cQED.
| cond-mat.mes-hall quant-ph | achieving strong coupling between light and matter is usually a challenge in cavity quantum electrodynamics cqed especially in solid state systems for this reason is useful taking advantage of alternative approaches to reach this regime and then generate reliable quantum polaritons in this work we study a system composed of a quantized single mode of a mechanical resonator interacting linearly with both a single mode nanocavity and a twolevel single quantum dot in particular we focus on the behavior of the indirect lightmatter interaction when the phonon mode interfaces both parts by diagonalization of the hamiltonian and computing the density matrix in a master equation approach we evidence several features of strong coupling between photons in optical cavities and excitons in a quantum dot for large energy detuning between the cavity and the mechanical resonator it is obtained a phonondispersive effective hamiltonian which is able to retrieve much of the physics of the conventional jaynescummings model jcm in order to characterize this mediated coupling we make a quantitative comparison between both models and analyze lightmatter entanglement and purity of the system leading to similar results in cqed | [['achieving', 'strong', 'coupling', 'between', 'light', 'and', 'matter', 'is', 'usually', 'a', 'challenge', 'in', 'cavity', 'quantum', 'electrodynamics', 'cqed', 'especially', 'in', 'solid', 'state', 'systems', 'for', 'this', 'reason', 'is', 'useful', 'taking', 'advantage', 'of', 'alternative', 'approaches', 'to', 'reach', 'this', 'regime', 'and', 'then', 'generate', 'reliable', 'quantum', 'polaritons', 'in', 'this', 'work', 'we', 'study', 'a', 'system', 'composed', 'of', 'a', 'quantized', 'single', 'mode', 'of', 'a', 'mechanical', 'resonator', 'interacting', 'linearly', 'with', 'both', 'a', 'single', 'mode', 'nanocavity', 'and', 'a', 'twolevel', 'single', 'quantum', 'dot', 'in', 'particular', 'we', 'focus', 'on', 'the', 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'leading', 'to', 'similar', 'results', 'in', 'cqed']] | [-0.1570304477767598, 0.15815978521050544, -0.06340827308194612, 0.015445295651192946, -0.01855173446012721, -0.21162146143114535, 0.05550528833797822, 0.3707410409265468, -0.23162857845916301, -0.2940207632403741, -0.01138605293379696, -0.2877827031658061, -0.13364567808551533, 0.2193669365125618, 0.022656453508002463, 0.06594899774188556, 0.06713266695614263, -0.0009905249230884095, -0.022707867991900253, -0.14871927498719625, 0.2826598542654807, 0.022615633026186015, 0.32045335324621327, 0.07017512611734371, 0.10357798986707724, -0.004610498271225664, 0.10195584583186335, -0.018219725489215827, -0.09421894951098879, 0.13687376743207574, 0.2527494185330681, -0.008605840663495724, 0.2905997735378082, -0.44909719312194263, -0.18807370593315692, 0.06942620573024597, 0.1589903702357939, 0.19683280506769635, -0.04508657743766283, -0.29928223577938895, -0.010793395062548018, -0.1825522282811743, -0.07969913697161246, 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1,803.02001 | Quantum criticality in the metal-superconductor transition of
interacting Dirac fermions on a triangular lattice | We investigate a semimetal-superconductor phase transition of two-dimensional
Dirac electrons at zero temperature by large-scale and essentially unbiased
quantum Monte Carlo simulations for the half-filled attractive Hubbard model on
the triangular lattice, in the presence of alternating magnetic $\pi$-flux,
that is introduced to construct two Dirac points in the one-particle bands at
the Fermi level. This phase transition is expected to describe quantum
criticality of the chiral XY class in the framework of the Gross-Neveu model,
where, in the ordered phase, the $U(1)$ symmetry is spontaneously broken and a
mass gap opens in the excitation spectrum. We compute the order parameter of
the s-wave superconductivity and estimate the quasiparticle weight from the
long-distance behavior of the single-particle Green's function. These
calculations allow us to obtain the critical exponents of this transition in a
reliable and accurate way. Our estimate for the critical exponents is in good
agreement with those obtained for a transition to a Kekul\'{e} valence bond
solid, where an emergent $U(1)$ symmetry is proposed [Z.-X. Li et al., Nat.
Commun. 8, 314 (2017)].
| cond-mat.str-el hep-lat | we investigate a semimetalsuperconductor phase transition of twodimensional dirac electrons at zero temperature by largescale and essentially unbiased quantum monte carlo simulations for the halffilled attractive hubbard model on the triangular lattice in the presence of alternating magnetic piflux that is introduced to construct two dirac points in the oneparticle bands at the fermi level this phase transition is expected to describe quantum criticality of the chiral xy class in the framework of the grossneveu model where in the ordered phase the u1 symmetry is spontaneously broken and a mass gap opens in the excitation spectrum we compute the order parameter of the swave superconductivity and estimate the quasiparticle weight from the longdistance behavior of the singleparticle greens function these calculations allow us to obtain the critical exponents of this transition in a reliable and accurate way our estimate for the critical exponents is in good agreement with those obtained for a transition to a kekule valence bond solid where an emergent u1 symmetry is proposed zx li et al nat commun 8 314 2017 | [['we', 'investigate', 'a', 'semimetalsuperconductor', 'phase', 'transition', 'of', 'twodimensional', 'dirac', 'electrons', 'at', 'zero', 'temperature', 'by', 'largescale', 'and', 'essentially', 'unbiased', 'quantum', 'monte', 'carlo', 'simulations', 'for', 'the', 'halffilled', 'attractive', 'hubbard', 'model', 'on', 'the', 'triangular', 'lattice', 'in', 'the', 'presence', 'of', 'alternating', 'magnetic', 'piflux', 'that', 'is', 'introduced', 'to', 'construct', 'two', 'dirac', 'points', 'in', 'the', 'oneparticle', 'bands', 'at', 'the', 'fermi', 'level', 'this', 'phase', 'transition', 'is', 'expected', 'to', 'describe', 'quantum', 'criticality', 'of', 'the', 'chiral', 'xy', 'class', 'in', 'the', 'framework', 'of', 'the', 'grossneveu', 'model', 'where', 'in', 'the', 'ordered', 'phase', 'the', 'u1', 'symmetry', 'is', 'spontaneously', 'broken', 'and', 'a', 'mass', 'gap', 'opens', 'in', 'the', 'excitation', 'spectrum', 'we', 'compute', 'the', 'order', 'parameter', 'of', 'the', 'swave', 'superconductivity', 'and', 'estimate', 'the', 'quasiparticle', 'weight', 'from', 'the', 'longdistance', 'behavior', 'of', 'the', 'singleparticle', 'greens', 'function', 'these', 'calculations', 'allow', 'us', 'to', 'obtain', 'the', 'critical', 'exponents', 'of', 'this', 'transition', 'in', 'a', 'reliable', 'and', 'accurate', 'way', 'our', 'estimate', 'for', 'the', 'critical', 'exponents', 'is', 'in', 'good', 'agreement', 'with', 'those', 'obtained', 'for', 'a', 'transition', 'to', 'a', 'kekule', 'valence', 'bond', 'solid', 'where', 'an', 'emergent', 'u1', 'symmetry', 'is', 'proposed', 'zx', 'li', 'et', 'al', 'nat', 'commun', '8', '314', '2017']] | [-0.14987306390888988, 0.2109233545213439, -0.05601193540197398, 0.0618988777929917, -0.018042932434805804, -0.13744985778416907, 0.09385560180725797, 0.34234490160032044, -0.20781597123082196, -0.2773065027062382, -0.0070621403073892, -0.33257050492501417, -0.13523699254462762, 0.08788936259624149, 0.05782886767493827, 0.06935972476644175, -0.06037224809905248, -0.015561053482815623, -0.1434572014598442, -0.20583352150528558, 0.28999392975121735, 0.03596329093112477, 0.30684647388756275, 0.06532723293240582, 0.02575699754258884, 0.02346561492819871, 0.09831285794930798, -0.03831308211332985, -0.1932513784632569, 0.06578357509204319, 0.254543149300984, -0.09375234943581745, 0.15594735373156643, -0.3877270893646138, -0.20749047333773757, 0.06265440716275147, 0.13630392113966602, 0.14612416678507414, -0.04128205565802221, -0.30862824739356126, 0.04986581710229594, -0.19262578523584775, -0.17586451420560478, -0.09150926079667572, -0.012008798093135868, -0.0552459110332919, -0.3028597867435643, 0.12338207421757813, 0.02502334047641073, 0.07821629193574024, -0.05817248231864401, -0.0961349679556276, -0.07121608824203057, 0.07897613225571279, -0.0023752199199848943, 0.09208017898274452, 0.06806995267447616, -0.1304593724850565, -0.1275635548840676, 0.40333743546158074, -0.035804798328650314, -0.112219162842791, 0.16799765783495138, -0.16489208683970252, -0.12109588736734753, 0.15815455959311553, 0.10896788533510907, 0.056563007637326204, -0.1186845464738352, 0.13760275831579097, -0.04524390639737248, 0.14905256315999266, -0.024839896757953932, 0.013853372686301425, 0.22572709612681396, 0.14627597290091215, 0.06459154713366713, 0.13268531302256242, -0.10508153509282107, -0.1563994299184664, -0.2812937986158899, -0.17601624353713954, -0.25726286175394697, 0.05727644691908998, -0.07964901831633012, -0.195589004624635, 0.43023719646036623, 0.1828741784207523, 0.19766882178623615, -0.0011567992131624903, 0.19383900546734886, 0.14655984175990203, 0.012737114051623004, 0.08229607641563884, 0.2387040553587888, 0.14166398595020707, 0.06865622290676193, -0.282584407256384, -0.013296349940522175, 0.12701900113373996] |
1,803.02002 | Refrigeration beyond weak internal coupling | We investigate the performance of a three-spin quantum absorption
refrigerator using a refined open quantum system model valid across all
inter-spin coupling strengths. It describes the transition between previous
approximate models for the weak and the ultrastrong coupling limit, and it
predicts optimal refrigeration for moderately strong coupling, where both
approximations are inaccurate. Two effects impede a more effective cooling: the
coupling between the spins no longer reduces to a simple resonant energy
exchange (the rotating wave approximation fails), and the interactions with the
thermal baths become sensitive to the level splitting, thus opening additional
heat channels between the reservoirs. We identify the modified conditions of
refrigeration as a function of the inter-spin coupling strength, and we show
that, contrary to intuition, a high-temperature work reservoir thwarts
refrigeration in the strong coupling regime.
| quant-ph | we investigate the performance of a threespin quantum absorption refrigerator using a refined open quantum system model valid across all interspin coupling strengths it describes the transition between previous approximate models for the weak and the ultrastrong coupling limit and it predicts optimal refrigeration for moderately strong coupling where both approximations are inaccurate two effects impede a more effective cooling the coupling between the spins no longer reduces to a simple resonant energy exchange the rotating wave approximation fails and the interactions with the thermal baths become sensitive to the level splitting thus opening additional heat channels between the reservoirs we identify the modified conditions of refrigeration as a function of the interspin coupling strength and we show that contrary to intuition a hightemperature work reservoir thwarts refrigeration in the strong coupling regime | [['we', 'investigate', 'the', 'performance', 'of', 'a', 'threespin', 'quantum', 'absorption', 'refrigerator', 'using', 'a', 'refined', 'open', 'quantum', 'system', 'model', 'valid', 'across', 'all', 'interspin', 'coupling', 'strengths', 'it', 'describes', 'the', 'transition', 'between', 'previous', 'approximate', 'models', 'for', 'the', 'weak', 'and', 'the', 'ultrastrong', 'coupling', 'limit', 'and', 'it', 'predicts', 'optimal', 'refrigeration', 'for', 'moderately', 'strong', 'coupling', 'where', 'both', 'approximations', 'are', 'inaccurate', 'two', 'effects', 'impede', 'a', 'more', 'effective', 'cooling', 'the', 'coupling', 'between', 'the', 'spins', 'no', 'longer', 'reduces', 'to', 'a', 'simple', 'resonant', 'energy', 'exchange', 'the', 'rotating', 'wave', 'approximation', 'fails', 'and', 'the', 'interactions', 'with', 'the', 'thermal', 'baths', 'become', 'sensitive', 'to', 'the', 'level', 'splitting', 'thus', 'opening', 'additional', 'heat', 'channels', 'between', 'the', 'reservoirs', 'we', 'identify', 'the', 'modified', 'conditions', 'of', 'refrigeration', 'as', 'a', 'function', 'of', 'the', 'interspin', 'coupling', 'strength', 'and', 'we', 'show', 'that', 'contrary', 'to', 'intuition', 'a', 'hightemperature', 'work', 'reservoir', 'thwarts', 'refrigeration', 'in', 'the', 'strong', 'coupling', 'regime']] | [-0.1990543368816922, 0.1829476164779941, -0.01810912422781558, 0.101188914962393, -0.04562980708091947, -0.21581987071698322, 0.11504949929885902, 0.3560201276681925, -0.2550473611178647, -0.28691710144477456, 0.010858057836189698, -0.2813329595260154, -0.0811161263040582, 0.20512696581584564, 0.08370189941173098, -0.011233538406711995, 0.033676526003300136, -0.007207806143363504, -0.05563678247398956, -0.1637198008304546, 0.2708216116629511, 0.07109953090548515, 0.30851745228738264, 0.13330687932614096, 0.08003239404003983, 0.0009662086403179437, 0.1042443620622214, -0.006685652038348573, -0.1198545006978351, 0.055910805982530565, 0.2255228755052109, -0.040128435620940046, 0.2614421782510957, -0.4269984565339142, -0.21351791278781243, 0.07306436608813324, 0.09794166513641638, 0.16570028539789014, -0.02348395947533698, -0.23404640776168248, -0.027519265883006995, -0.18392821222620742, -0.09403240592157665, -0.09271217113985729, -0.0026682917294757707, 0.004700182207082783, -0.32261665096100334, 0.08570668875494503, 0.0920883606019941, 0.02675781265265287, -0.047567630731990856, -0.057085955076976995, 0.016059267161329997, 0.13491200545760698, 0.022550545833283628, 0.008487329315227856, 0.15824507579165406, -0.16497256848751043, -0.03846170578880193, 0.33852694378693104, -0.13886957795401209, -0.15814023017288095, 0.252719697006803, -0.1174752361813378, -0.08214313428694929, 0.10005632467231804, 0.12452557678789572, 0.09788475404108378, -0.16615091383639247, 0.08761064276708416, 0.051437526122125085, 0.17597816339116262, 0.03324792362553509, 0.07860677825248472, 0.2296572830825624, 0.15958615339928328, 0.05158181014449749, 0.1607386522989412, -0.06567541154143505, -0.15207707552288316, -0.27197821649085535, -0.11392339166337834, -0.16269330389156966, 0.06685749102500704, -0.10944870203213514, -0.1536872440465915, 0.3550834351856458, 0.2381912321491251, 0.15868936050543211, 0.02421485971728571, 0.29968274837443815, 0.14712836008249341, 0.06480153073395666, 0.10573309202349387, 0.3505107622901748, 0.19121356068452106, 0.07624233029152554, -0.3198178030438441, 0.04819868467187971, 0.007718205557001713] |
1,803.02003 | Towards high-capacity quantum communications by combining wavelength-
and time-division multiplexing technologies | Optical communication systems are able to send the information from one user
to another in light beams that travel through the free space or optical fibers,
therefore how to send larger amounts of information in smaller periods of time
is a long term concern, one promising way is to use multiplexing of photon's
different degrees of freedoms to parallel handle the large amounts of
information in multiple channels independently. In this work, by combining the
wavelength and time division multiplexing technologies, we prepare a
multifrequency mode time bin entangled photon pair source at different time
slots by using four wave mixing in a silicon nanowire waveguide, and distribute
entangled photons into 3 time by 14 wavelength channels independently, which
can significantly increase the bit rate compared with the single channel
systems in quantum communication. Our work paves a new and promising way to
achieve a high capacity quantum communication and to generate a multiple photon
nonclassical state.
| quant-ph physics.optics | optical communication systems are able to send the information from one user to another in light beams that travel through the free space or optical fibers therefore how to send larger amounts of information in smaller periods of time is a long term concern one promising way is to use multiplexing of photons different degrees of freedoms to parallel handle the large amounts of information in multiple channels independently in this work by combining the wavelength and time division multiplexing technologies we prepare a multifrequency mode time bin entangled photon pair source at different time slots by using four wave mixing in a silicon nanowire waveguide and distribute entangled photons into 3 time by 14 wavelength channels independently which can significantly increase the bit rate compared with the single channel systems in quantum communication our work paves a new and promising way to achieve a high capacity quantum communication and to generate a multiple photon nonclassical state | [['optical', 'communication', 'systems', 'are', 'able', 'to', 'send', 'the', 'information', 'from', 'one', 'user', 'to', 'another', 'in', 'light', 'beams', 'that', 'travel', 'through', 'the', 'free', 'space', 'or', 'optical', 'fibers', 'therefore', 'how', 'to', 'send', 'larger', 'amounts', 'of', 'information', 'in', 'smaller', 'periods', 'of', 'time', 'is', 'a', 'long', 'term', 'concern', 'one', 'promising', 'way', 'is', 'to', 'use', 'multiplexing', 'of', 'photons', 'different', 'degrees', 'of', 'freedoms', 'to', 'parallel', 'handle', 'the', 'large', 'amounts', 'of', 'information', 'in', 'multiple', 'channels', 'independently', 'in', 'this', 'work', 'by', 'combining', 'the', 'wavelength', 'and', 'time', 'division', 'multiplexing', 'technologies', 'we', 'prepare', 'a', 'multifrequency', 'mode', 'time', 'bin', 'entangled', 'photon', 'pair', 'source', 'at', 'different', 'time', 'slots', 'by', 'using', 'four', 'wave', 'mixing', 'in', 'a', 'silicon', 'nanowire', 'waveguide', 'and', 'distribute', 'entangled', 'photons', 'into', '3', 'time', 'by', '14', 'wavelength', 'channels', 'independently', 'which', 'can', 'significantly', 'increase', 'the', 'bit', 'rate', 'compared', 'with', 'the', 'single', 'channel', 'systems', 'in', 'quantum', 'communication', 'our', 'work', 'paves', 'a', 'new', 'and', 'promising', 'way', 'to', 'achieve', 'a', 'high', 'capacity', 'quantum', 'communication', 'and', 'to', 'generate', 'a', 'multiple', 'photon', 'nonclassical', 'state']] | [-0.16707488868658424, 0.19560361219048025, -0.06336651220146543, -0.008548153641449797, -0.05203052365612595, -0.23204706913856848, 0.09667589961236735, 0.4115362909094543, -0.2892551840383821, -0.30938898938097015, 0.05531420013392759, -0.2871678477684466, -0.021604244184982815, 0.22168342121817455, -0.05111060418473307, 0.07776802961245939, 0.07534395200037249, -0.018814278615247104, 0.009058128539650778, -0.24531985829275837, 0.25878003049511344, 0.06418877887498041, 0.3341544016388951, -0.0034896201620198738, 0.11538760450069502, 0.041326443410395486, -0.039722513321454926, -0.08227712081787532, -0.054386789280452964, 0.10849416690172663, 0.29778267630927596, 0.09439082061100727, 0.2666898930154646, -0.442870450194237, -0.25157458512750186, 0.09092060583317356, 0.1858507600245155, 0.14605483469467279, -0.02699882305259846, -0.26261186574817086, 0.044032876154372264, -0.1774962052441896, -0.08326863619398064, -0.0012822412369642288, 0.0018322280175082242, -0.010097584551108325, -0.2522474378288077, 0.02919281442178069, -0.03344097623014289, -0.017647320100448873, 0.027244417551477815, -0.02232947775346648, 0.016256295143074955, 0.1549235532448811, -0.031208359482134605, 0.04652509081791374, 0.11099366963378325, -0.0977871447447895, -0.15881249686157342, 0.37162889939121857, -0.07347742772578102, -0.19797023900956578, 0.1790166075877507, -0.13384235238027611, -0.04677013304843834, 0.1859048301721834, 0.23214872655381633, 0.08305166579284676, -0.16373952046024856, -0.04297720666257012, 0.03074486769602714, 0.2535343230568513, 0.13969793466993483, 0.20164603162339997, 0.22946920923022612, 0.13740449263506635, 0.07160511337054573, 0.15528180319400633, -0.1050884265683971, -0.08912193900342011, -0.22588945802517685, -0.19750419478638434, -0.21463382132051093, 0.05061380424606095, -0.08161068097265603, -0.03502157052006027, 0.39807564745935947, 0.14499765418315674, 0.1514297580304941, 0.04333662826369167, 0.3600769686263505, 0.055759552691968244, 0.1341238042004525, 0.06910502735323681, 0.22371474882457287, 0.10119295907711053, 0.1493668012457431, -0.18789078667759895, -0.008778461605120616, -0.06497583259490265] |
1,803.02004 | Enhancement of steady-state bosonic squeezing and entanglement in a
dissipative optomechanical system | We systematically study the influence of amplitude modulation on the
steady-state bosonic squeezing and entanglement in a dissipative three-mode
optomechanical system, where a vibrational mode of the membrane is coupled to
the left and right cavity modes via the radiation pressure. Numerical
simulation results show that the steady-state bosonic squeezing and
entanglement can be significantly enhanced by periodically modulated external
laser driving either or both ends of the cavity. Remarkably, the fact that as
long as one periodically modulated external laser driving either end of the
cavities is sufficient to enhance the squeezing and entanglement is convenient
for actual experiment, whose cost is that required modulation period number for
achieving system stability is more. In addition, we numerically confirm the
analytical prediction for optimal modulation frequency and discuss the
corresponding physical mechanism.
| quant-ph | we systematically study the influence of amplitude modulation on the steadystate bosonic squeezing and entanglement in a dissipative threemode optomechanical system where a vibrational mode of the membrane is coupled to the left and right cavity modes via the radiation pressure numerical simulation results show that the steadystate bosonic squeezing and entanglement can be significantly enhanced by periodically modulated external laser driving either or both ends of the cavity remarkably the fact that as long as one periodically modulated external laser driving either end of the cavities is sufficient to enhance the squeezing and entanglement is convenient for actual experiment whose cost is that required modulation period number for achieving system stability is more in addition we numerically confirm the analytical prediction for optimal modulation frequency and discuss the corresponding physical mechanism | [['we', 'systematically', 'study', 'the', 'influence', 'of', 'amplitude', 'modulation', 'on', 'the', 'steadystate', 'bosonic', 'squeezing', 'and', 'entanglement', 'in', 'a', 'dissipative', 'threemode', 'optomechanical', 'system', 'where', 'a', 'vibrational', 'mode', 'of', 'the', 'membrane', 'is', 'coupled', 'to', 'the', 'left', 'and', 'right', 'cavity', 'modes', 'via', 'the', 'radiation', 'pressure', 'numerical', 'simulation', 'results', 'show', 'that', 'the', 'steadystate', 'bosonic', 'squeezing', 'and', 'entanglement', 'can', 'be', 'significantly', 'enhanced', 'by', 'periodically', 'modulated', 'external', 'laser', 'driving', 'either', 'or', 'both', 'ends', 'of', 'the', 'cavity', 'remarkably', 'the', 'fact', 'that', 'as', 'long', 'as', 'one', 'periodically', 'modulated', 'external', 'laser', 'driving', 'either', 'end', 'of', 'the', 'cavities', 'is', 'sufficient', 'to', 'enhance', 'the', 'squeezing', 'and', 'entanglement', 'is', 'convenient', 'for', 'actual', 'experiment', 'whose', 'cost', 'is', 'that', 'required', 'modulation', 'period', 'number', 'for', 'achieving', 'system', 'stability', 'is', 'more', 'in', 'addition', 'we', 'numerically', 'confirm', 'the', 'analytical', 'prediction', 'for', 'optimal', 'modulation', 'frequency', 'and', 'discuss', 'the', 'corresponding', 'physical', 'mechanism']] | [-0.19835504988529437, 0.2276687258845689, -0.047335836090055775, 0.008037026079943065, -0.013577864216076154, -0.19412953520165474, 0.05764929081091064, 0.401132799917832, -0.2593643107437388, -0.24750839137105327, 0.10194036785855354, -0.2331353095042604, -0.13649214377492722, 0.25040615143811784, -0.009228168619853077, 0.07479035961582806, 0.03800050711619075, 0.03011472356703245, 0.012124812147125009, -0.18541254790298725, 0.28399610877915454, 0.08714994807925189, 0.3061684860960778, 0.029234381191517143, 0.0830624836856838, -0.019559909917668185, 0.04968312540454049, -0.05724681518128791, -0.10503264106442987, 0.04509444805003251, 0.1904559805565937, 0.02532373260438555, 0.2491006156514314, -0.4461305775528837, -0.21836178772377246, 0.09367441449737243, 0.1893850500028665, 0.15610872001288403, -0.03045531847325919, -0.26510003284607647, 0.013248980585062369, -0.17774807282187272, -0.14070003050393565, -0.08344137775676438, 0.017121508551733285, 0.03791675790544656, -0.3040871650058155, 0.08638132290445466, 0.047620345654925615, 0.04549768217133753, -0.06563362322578375, 0.019483704756677264, -0.05631325845112742, 0.0810451479187715, 0.0008494474988600069, 0.019903444676222563, 0.19004282612965626, -0.136875438853167, -0.08595295380942072, 0.33718433883041143, -0.1203884568143015, -0.19925139383695117, 0.17012938642239367, -0.1518383597052007, 0.005671936711719768, 0.12049241655746079, 0.12975422533539435, 0.05409108845263042, -0.11759740292627337, -0.0035428014344881485, 0.02299760497937148, 0.24077335236396527, 0.1347101941302588, 0.10868438874251407, 0.21488937968740973, 0.15215696542608467, 0.05456896503208995, 0.23319200482783894, -0.06133307019869486, -0.10336174551312896, -0.28662743700216664, -0.1165080095172126, -0.18333082016849375, 0.031567938306662574, -0.08485887054595162, -0.11256939699435889, 0.4233468448898445, 0.15367813560420251, 0.10157928450710395, -0.005112520754196201, 0.3278373680289157, 0.17842060171912608, 0.018712473535494857, 0.030992774952513475, 0.31864285693772026, 0.1310641076151197, 0.07317598690419938, -0.3558358843614714, 0.011167855000222158, -0.013427010299920134] |
1,803.02005 | On the Early In Situ Formation of Pluto's Small Satellites | The formation of Pluto's small satellites - Styx, Nix, Keberos and Hydra -
remains a mystery. Their orbits are nearly circular and are near mean-motion
resonances and nearly coplanar with Charon's orbit. One scenario suggests that
they all formed close to their current locations from a disk of debris that was
ejected from the Charon-forming impact before the tidal evolution of Charon.
The validity of this scenario is tested by performing $N$-body simulations with
the small satellites treated as test particles and Pluto-Charon evolving
tidally from an initial orbit at a few Pluto radii with initial eccentricity
$e_{\rm C} = 0$ or 0.2. After tidal evolution, the free eccentricities $e_{\rm
free}$ of the test particles are extracted by applying fast Fourier
transformation to the distance between the test particles and the center of
mass of the system and compared with the current eccentricities of the four
small satellites. The only surviving test particles with $e_{\rm free}$
matching the eccentricities of the current satellites are those not affected by
mean-motion resonances during the tidal evolution in a model with Pluto's
effective tidal dissipation function $Q = 100$ and an initial $e_{\rm C}$ = 0.2
that is damped down rapidly. However, these test particles do not have any
preference to be in or near 4:1, 5:1 and 6:1 resonances with Charon. An
alternative scenario may be needed to explain the formation of Pluto's small
satellites.
| astro-ph.EP | the formation of plutos small satellites styx nix keberos and hydra remains a mystery their orbits are nearly circular and are near meanmotion resonances and nearly coplanar with charons orbit one scenario suggests that they all formed close to their current locations from a disk of debris that was ejected from the charonforming impact before the tidal evolution of charon the validity of this scenario is tested by performing nbody simulations with the small satellites treated as test particles and plutocharon evolving tidally from an initial orbit at a few pluto radii with initial eccentricity e_rm c 0 or 02 after tidal evolution the free eccentricities e_rm free of the test particles are extracted by applying fast fourier transformation to the distance between the test particles and the center of mass of the system and compared with the current eccentricities of the four small satellites the only surviving test particles with e_rm free matching the eccentricities of the current satellites are those not affected by meanmotion resonances during the tidal evolution in a model with plutos effective tidal dissipation function q 100 and an initial e_rm c 02 that is damped down rapidly however these test particles do not have any preference to be in or near 41 51 and 61 resonances with charon an alternative scenario may be needed to explain the formation of plutos small satellites | [['the', 'formation', 'of', 'plutos', 'small', 'satellites', 'styx', 'nix', 'keberos', 'and', 'hydra', 'remains', 'a', 'mystery', 'their', 'orbits', 'are', 'nearly', 'circular', 'and', 'are', 'near', 'meanmotion', 'resonances', 'and', 'nearly', 'coplanar', 'with', 'charons', 'orbit', 'one', 'scenario', 'suggests', 'that', 'they', 'all', 'formed', 'close', 'to', 'their', 'current', 'locations', 'from', 'a', 'disk', 'of', 'debris', 'that', 'was', 'ejected', 'from', 'the', 'charonforming', 'impact', 'before', 'the', 'tidal', 'evolution', 'of', 'charon', 'the', 'validity', 'of', 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'evolution', 'in', 'a', 'model', 'with', 'plutos', 'effective', 'tidal', 'dissipation', 'function', 'q', '100', 'and', 'an', 'initial', 'e_rm', 'c', '02', 'that', 'is', 'damped', 'down', 'rapidly', 'however', 'these', 'test', 'particles', 'do', 'not', 'have', 'any', 'preference', 'to', 'be', 'in', 'or', 'near', '41', '51', 'and', '61', 'resonances', 'with', 'charon', 'an', 'alternative', 'scenario', 'may', 'be', 'needed', 'to', 'explain', 'the', 'formation', 'of', 'plutos', 'small', 'satellites']] | [-0.14879035007721636, 0.19041945179995196, -0.07133365811499874, 0.07807556635224203, -0.030286201302670932, -0.07263449905131145, 0.007052040368368009, 0.33076524108945005, -0.20704644004633008, -0.3860813651699573, 0.0708278993400127, -0.2914046048046609, -0.03966934819689301, 0.1899978894739313, -0.03589810637254433, 0.0326545825439291, 0.1495437333813613, -0.005769872929245662, -0.044850969559549606, -0.25512759284882813, 0.270449505854126, 0.10620529468344377, 0.0608321285736541, 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1,803.02006 | Galois covers of graphs and embedded topology of plane curves | The splitting number is effective to distinguish the embedded topology of
plane curves, and it is not determined by the fundamental group of the
complement of the plane curve. In this paper, we give a generalization of the
splitting number, called the splitting graph. By using the splitting graph, we
classify the embedded topology of plane curves consisting of one smooth curve
and non-concurrent three lines, called Artal arrangements.
| math.AG math.GT | the splitting number is effective to distinguish the embedded topology of plane curves and it is not determined by the fundamental group of the complement of the plane curve in this paper we give a generalization of the splitting number called the splitting graph by using the splitting graph we classify the embedded topology of plane curves consisting of one smooth curve and nonconcurrent three lines called artal arrangements | [['the', 'splitting', 'number', 'is', 'effective', 'to', 'distinguish', 'the', 'embedded', 'topology', 'of', 'plane', 'curves', 'and', 'it', 'is', 'not', 'determined', 'by', 'the', 'fundamental', 'group', 'of', 'the', 'complement', 'of', 'the', 'plane', 'curve', 'in', 'this', 'paper', 'we', 'give', 'a', 'generalization', 'of', 'the', 'splitting', 'number', 'called', 'the', 'splitting', 'graph', 'by', 'using', 'the', 'splitting', 'graph', 'we', 'classify', 'the', 'embedded', 'topology', 'of', 'plane', 'curves', 'consisting', 'of', 'one', 'smooth', 'curve', 'and', 'nonconcurrent', 'three', 'lines', 'called', 'artal', 'arrangements']] | [-0.2462270202898029, 0.05665278683106104, -0.07940023916139119, 0.05198090410946558, -0.1086280770815801, -0.08659924282624885, 0.043763900163880404, 0.3487704841123111, -0.2906052960973719, -0.30818295705577603, 0.0875891687169644, -0.2476511460499487, -0.1531824651511683, 0.21316676923627223, -0.07153778367986281, -0.05658946846328352, 0.04601257865357658, 0.015634510875342116, -0.024084457074818405, -0.23485775836962747, 0.4026549042647947, -0.07432682529105332, 0.25613989176201646, 0.004835761685356282, 0.07555556922908062, 0.08786048684809086, 0.00441539562239811, 0.07978045642105998, -0.1328512552663333, 0.1892433514467616, 0.22010938343726963, 0.12022947863527182, 0.12464803455235518, -0.325247037993825, -0.20040673544576418, 0.1674880431695045, 0.13409872224176492, 0.027057400837108708, -0.019669209890391514, -0.20674555770296982, 0.11355581663656926, -0.08589084764969522, -0.16454453643519376, -0.01691213466119075, 0.005365459032464719, 0.03210237803126591, -0.13871771913102787, -0.06861300392800172, 0.0711503868949586, 0.10169226669582397, 0.025077531195205192, -0.0737481935462658, -0.047776925633998886, 0.11737607376973914, -0.041317989624550806, 0.08152114602642646, 0.06163180125472338, -0.07245667254808696, -0.10184325208968442, 0.41121864993719087, -0.06653530812025935, -0.20396017296150312, 0.1338443468608286, -0.11180105702816576, -0.11178633138753366, 0.17803451337892076, 0.15389633370374423, 0.1309123078658097, -0.08490579294553702, 0.10320778061345598, -0.06905132518622323, 0.12323906357008693, 0.06023181977587334, -0.0449595438633654, 0.1591540641164866, 0.1150502352097976, 0.0974981539707253, 0.18089446963394817, -0.10626331871658888, -0.06822553560461687, -0.30398035940268764, -0.17657666930091986, -0.17620716757390756, 0.042472264662163965, -0.07186668178537334, -0.19804143678207975, 0.4889002120581226, 0.005136652539173762, 0.2617816210494957, 0.001672303661758053, 0.27678401611637377, 0.09077547208500514, 0.04255465463316743, 0.09258687619011903, 0.20573447947052942, 0.1813008466506026, -0.01882434093757816, -0.20995661163992801, 0.007816411224126385, 0.1348535064202936] |
1,803.02007 | Occupancy Map Prediction Using Generative and Fully Convolutional
Networks for Vehicle Navigation | Fast, collision-free motion through unknown environments remains a
challenging problem for robotic systems. In these situations, the robot's
ability to reason about its future motion is often severely limited by sensor
field of view (FOV). By contrast, biological systems routinely make decisions
by taking into consideration what might exist beyond their FOV based on prior
experience. In this paper, we present an approach for predicting occupancy map
representations of sensor data for future robot motions using deep neural
networks. We evaluate several deep network architectures, including purely
generative and adversarial models. Testing on both simulated and real
environments we demonstrated performance both qualitatively and quantitatively,
with SSIM similarity measure up to 0.899. We showed that it is possible to make
predictions about occupied space beyond the physical robot's FOV from simulated
training data. In the future, this method will allow robots to navigate through
unknown environments in a faster, safer manner.
| cs.LG cs.CV cs.RO | fast collisionfree motion through unknown environments remains a challenging problem for robotic systems in these situations the robots ability to reason about its future motion is often severely limited by sensor field of view fov by contrast biological systems routinely make decisions by taking into consideration what might exist beyond their fov based on prior experience in this paper we present an approach for predicting occupancy map representations of sensor data for future robot motions using deep neural networks we evaluate several deep network architectures including purely generative and adversarial models testing on both simulated and real environments we demonstrated performance both qualitatively and quantitatively with ssim similarity measure up to 0899 we showed that it is possible to make predictions about occupied space beyond the physical robots fov from simulated training data in the future this method will allow robots to navigate through unknown environments in a faster safer manner | [['fast', 'collisionfree', 'motion', 'through', 'unknown', 'environments', 'remains', 'a', 'challenging', 'problem', 'for', 'robotic', 'systems', 'in', 'these', 'situations', 'the', 'robots', 'ability', 'to', 'reason', 'about', 'its', 'future', 'motion', 'is', 'often', 'severely', 'limited', 'by', 'sensor', 'field', 'of', 'view', 'fov', 'by', 'contrast', 'biological', 'systems', 'routinely', 'make', 'decisions', 'by', 'taking', 'into', 'consideration', 'what', 'might', 'exist', 'beyond', 'their', 'fov', 'based', 'on', 'prior', 'experience', 'in', 'this', 'paper', 'we', 'present', 'an', 'approach', 'for', 'predicting', 'occupancy', 'map', 'representations', 'of', 'sensor', 'data', 'for', 'future', 'robot', 'motions', 'using', 'deep', 'neural', 'networks', 'we', 'evaluate', 'several', 'deep', 'network', 'architectures', 'including', 'purely', 'generative', 'and', 'adversarial', 'models', 'testing', 'on', 'both', 'simulated', 'and', 'real', 'environments', 'we', 'demonstrated', 'performance', 'both', 'qualitatively', 'and', 'quantitatively', 'with', 'ssim', 'similarity', 'measure', 'up', 'to', '0899', 'we', 'showed', 'that', 'it', 'is', 'possible', 'to', 'make', 'predictions', 'about', 'occupied', 'space', 'beyond', 'the', 'physical', 'robots', 'fov', 'from', 'simulated', 'training', 'data', 'in', 'the', 'future', 'this', 'method', 'will', 'allow', 'robots', 'to', 'navigate', 'through', 'unknown', 'environments', 'in', 'a', 'faster', 'safer', 'manner']] | [-0.08817122742805063, 0.03877158322156059, -0.056435272603338915, 0.05690122672991938, -0.11058975035472718, -0.1535497636484932, 0.06074173524374426, 0.5107982261044695, -0.2543811264354581, -0.36872602489450024, 0.07717502664848669, -0.2354939974463215, -0.21243608584750864, 0.22686101477099768, -0.14481242301732006, 0.09362896325780597, 0.13002067045632454, 0.00788593850104718, -0.005472577684088641, -0.24994903982428845, 0.2599385793656974, 0.06402269053536572, 0.28701771057630265, -0.011699588910756719, 0.12496748362014083, 0.009015987361997168, -0.011654283195488857, 0.013097148911914918, -0.06425754272265072, 0.12375101775149908, 0.306238963237401, 0.1948143646817975, 0.3001862875608394, -0.48054116428983923, -0.2415024197570955, 0.11192718172902304, 0.16665174514795375, 0.06959118540182907, -0.014625087636368756, -0.38593416504364536, 0.06927515167414537, -0.14888275814063798, -0.09169287207098492, -0.14570596068789135, 0.003302356133404009, -0.019235214983291973, -0.245357171539834, -0.005342858606048964, 0.001090077381112323, 0.0786701294389979, -0.08397927799567408, -0.07488455869171103, 0.05919473090005533, 0.18227687855220295, 0.016118885340964704, 0.03944585317227718, 0.20129663342708684, -0.20579558171886783, -0.10910647815025554, 0.4048004568067213, 0.01656578159706038, -0.2085991773988731, 0.23427938166982648, -0.11260626030721954, -0.1202494973063913, 0.11384182877604239, 0.2551214643364729, 0.10887381571055149, -0.21130826680100714, 0.01376366851402644, 0.014238479635863263, 0.14365748892035582, 0.016700177018250037, -0.013051179468952465, 0.21822041444733295, 0.25201504521876794, 0.06135952387418327, 0.08655273636636503, -0.10798610836600527, -0.11226356567680798, -0.19754853557227858, -0.08487452635085148, -0.17022144910108472, 0.015008745079749072, -0.07351885909580437, -0.0948914147093152, 0.32976206904893973, 0.30263711287584527, 0.20015188272647708, 0.10051260468093616, 0.37238482741133266, -0.007873467696269369, 0.08459841828432477, 0.06464886915752825, 0.222584246201379, 0.020716755002558183, 0.15213978744230683, -0.13559938333304106, 0.10364829015066934, -0.044297371044236894] |
1,803.02008 | Planetary Spectrum Generator: an accurate online radiative transfer
suite for atmospheres, comets, small bodies and exoplanets | We have developed an online radiative-transfer suite
(https://psg.gsfc.nasa.gov) applicable to a broad range of planetary objects
(e.g., planets, moons, comets, asteroids, TNOs, KBOs, exoplanets). The
Planetary Spectrum Generator (PSG) can synthesize planetary spectra
(atmospheres and surfaces) for a broad range of wavelengths
(UV/Vis/near-IR/IR/far-IR/THz/sub-mm/Radio) from any observatory (e.g., JWST,
ALMA, Keck, SOFIA), any orbiter (e.g., ExoMars, Juno), or any lander (e.g.,
MSL). This is achieved by combining several state-of-the-art radiative transfer
models, spectroscopic databases and planetary databases (i.e., climatological
and orbital). PSG has a 3D (three-dimensional) orbital calculator for most
bodies in the solar system, and all confirmed exoplanets, while the
radiative-transfer models can ingest billions of spectral signatures for
hundreds of species from several spectroscopic repositories. It integrates the
latest radiative-transfer and scattering methods in order to compute high
resolution spectra via line-by-line calculations, and utilizes the efficient
correlated-k method at moderate resolutions, while for computing cometary
spectra, PSG handles non-LTE and LTE excitation processes. PSG includes a
realistic noise calculator that integrates several telescope / instrument
configurations (e.g., interferometry, coronagraphs) and detector technologies
(e.g., CCD, heterodyne detectors, bolometers). Such an integration of advanced
spectroscopic methods into an online tool can greatly serve the planetary
community, ultimately enabling the retrieval of planetary parameters from
remote sensing data, efficient mission planning strategies, interpretation of
current and future planetary data, calibration of spectroscopic data, and
development of new instrument/spacecraft concepts.
| astro-ph.EP | we have developed an online radiativetransfer suite httpspsggsfcnasagov applicable to a broad range of planetary objects eg planets moons comets asteroids tnos kbos exoplanets the planetary spectrum generator psg can synthesize planetary spectra atmospheres and surfaces for a broad range of wavelengths uvvisnearirirfarirthzsubmmradio from any observatory eg jwst alma keck sofia any orbiter eg exomars juno or any lander eg msl this is achieved by combining several stateoftheart radiative transfer models spectroscopic databases and planetary databases ie climatological and orbital psg has a 3d threedimensional orbital calculator for most bodies in the solar system and all confirmed exoplanets while the radiativetransfer models can ingest billions of spectral signatures for hundreds of species from several spectroscopic repositories it integrates the latest radiativetransfer and scattering methods in order to compute high resolution spectra via linebyline calculations and utilizes the efficient correlatedk method at moderate resolutions while for computing cometary spectra psg handles nonlte and lte excitation processes psg includes a realistic noise calculator that integrates several telescope instrument configurations eg interferometry coronagraphs and detector technologies eg ccd heterodyne detectors bolometers such an integration of advanced spectroscopic methods into an online tool can greatly serve the planetary community ultimately enabling the retrieval of planetary parameters from remote sensing data efficient mission planning strategies interpretation of current and future planetary data calibration of spectroscopic data and development of new instrumentspacecraft concepts | [['we', 'have', 'developed', 'an', 'online', 'radiativetransfer', 'suite', 'httpspsggsfcnasagov', 'applicable', 'to', 'a', 'broad', 'range', 'of', 'planetary', 'objects', 'eg', 'planets', 'moons', 'comets', 'asteroids', 'tnos', 'kbos', 'exoplanets', 'the', 'planetary', 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1,803.02009 | MIS-SLAM: Real-time Large Scale Dense Deformable SLAM System in Minimal
Invasive Surgery Based on Heterogeneous Computing | Real-time simultaneously localization and dense mapping is very helpful for
providing Virtual Reality and Augmented Reality for surgeons or even surgical
robots. In this paper, we propose MIS-SLAM: a complete real-time large scale
dense deformable SLAM system with stereoscope in Minimal Invasive Surgery based
on heterogeneous computing by making full use of CPU and GPU. Idled CPU is used
to perform ORB- SLAM for providing robust global pose. Strategies are taken to
integrate modules from CPU and GPU. We solved the key problem raised in
previous work, that is, fast movement of scope and blurry images make the scope
tracking fail. Benefiting from improved localization, MIS-SLAM can achieve
large scale scope localizing and dense mapping in real-time. It transforms and
deforms current model and incrementally fuses new observation while keeping
vivid texture. In-vivo experiments conducted on publicly available datasets
presented in the form of videos demonstrate the feasibility and practicality of
MIS-SLAM for potential clinical purpose.
| cs.CV | realtime simultaneously localization and dense mapping is very helpful for providing virtual reality and augmented reality for surgeons or even surgical robots in this paper we propose misslam a complete realtime large scale dense deformable slam system with stereoscope in minimal invasive surgery based on heterogeneous computing by making full use of cpu and gpu idled cpu is used to perform orb slam for providing robust global pose strategies are taken to integrate modules from cpu and gpu we solved the key problem raised in previous work that is fast movement of scope and blurry images make the scope tracking fail benefiting from improved localization misslam can achieve large scale scope localizing and dense mapping in realtime it transforms and deforms current model and incrementally fuses new observation while keeping vivid texture invivo experiments conducted on publicly available datasets presented in the form of videos demonstrate the feasibility and practicality of misslam for potential clinical purpose | [['realtime', 'simultaneously', 'localization', 'and', 'dense', 'mapping', 'is', 'very', 'helpful', 'for', 'providing', 'virtual', 'reality', 'and', 'augmented', 'reality', 'for', 'surgeons', 'or', 'even', 'surgical', 'robots', 'in', 'this', 'paper', 'we', 'propose', 'misslam', 'a', 'complete', 'realtime', 'large', 'scale', 'dense', 'deformable', 'slam', 'system', 'with', 'stereoscope', 'in', 'minimal', 'invasive', 'surgery', 'based', 'on', 'heterogeneous', 'computing', 'by', 'making', 'full', 'use', 'of', 'cpu', 'and', 'gpu', 'idled', 'cpu', 'is', 'used', 'to', 'perform', 'orb', 'slam', 'for', 'providing', 'robust', 'global', 'pose', 'strategies', 'are', 'taken', 'to', 'integrate', 'modules', 'from', 'cpu', 'and', 'gpu', 'we', 'solved', 'the', 'key', 'problem', 'raised', 'in', 'previous', 'work', 'that', 'is', 'fast', 'movement', 'of', 'scope', 'and', 'blurry', 'images', 'make', 'the', 'scope', 'tracking', 'fail', 'benefiting', 'from', 'improved', 'localization', 'misslam', 'can', 'achieve', 'large', 'scale', 'scope', 'localizing', 'and', 'dense', 'mapping', 'in', 'realtime', 'it', 'transforms', 'and', 'deforms', 'current', 'model', 'and', 'incrementally', 'fuses', 'new', 'observation', 'while', 'keeping', 'vivid', 'texture', 'invivo', 'experiments', 'conducted', 'on', 'publicly', 'available', 'datasets', 'presented', 'in', 'the', 'form', 'of', 'videos', 'demonstrate', 'the', 'feasibility', 'and', 'practicality', 'of', 'misslam', 'for', 'potential', 'clinical', 'purpose']] | [-0.0862451905444745, 0.010880626215329094, -0.03057852177129638, 0.028297355163827417, -0.10739130698925545, -0.1983010417000661, 0.01722402201680046, 0.4507530984048161, -0.24181527301609035, -0.339156519964097, 0.13261521091429337, -0.214563369282311, -0.1411324530794856, 0.22516596857007712, -0.15795018658522636, 0.1339738423342257, 0.18820950802145225, -0.003721240323577677, -0.045399292836326266, -0.2552071992758541, 0.23765434493806453, 0.04735208552541031, 0.2974606689245951, 0.07830998837842697, 0.11968974027061655, 0.05465245078047437, -0.06400564383384921, -0.0014811593288135143, -0.025387792987983687, 0.17354987646047507, 0.29565235074128837, 0.2057195906489787, 0.2710581934079528, -0.4971788564877164, -0.18476791066913714, 0.04718037126585841, 0.15424672960333766, 0.05786868456324878, -0.08325672769288142, -0.377213833961756, 0.11191374626791765, -0.16225827309272944, -0.06961023311521257, -0.18141316218421824, -0.017021364038960346, -0.03853933412859577, -0.26981911220317406, 0.0480046258923868, -0.019339856108830822, 0.09884166187877136, -0.07487299587697752, -0.05947432943634809, 0.07110787447271569, 0.22339127770504885, -0.0186761898942472, 0.06324013288343144, 0.17549361759616483, -0.18114855015319922, -0.09062742655646176, 0.4175809560343623, 0.004939124435787239, -0.18332122502427908, 0.22457019174020856, -0.05689940681350568, -0.13849041621471125, 0.14619403714013676, 0.20780384429400006, 0.10925053692753277, -0.15483416434858113, 0.05767964007175197, 0.0071847388571533825, 0.16529683490253744, 0.03033320516978781, -0.01605587360118666, 0.17698786311873024, 0.2703504160467175, 0.056088225558520326, 0.12894232600416627, -0.12128739383770153, -0.0746686456124148, -0.20771427880780163, -0.1464910300677612, -0.17071540157100365, -0.029643965842983414, -0.05968852230834008, -0.11647881728506858, 0.3831163758096556, 0.2627968122401545, 0.14447727149142134, 0.10974911160301418, 0.38219632209549026, -0.014710595783206725, 0.12139702172829739, 0.08938128410147562, 0.16160288123534092, -0.02243236092580182, 0.16303906758736458, -0.17507008065079008, 0.02252116320474494, 0.0491870361875983] |
1,803.0201 | Strain-tunable charge carrier mobility of atomically thin phosphorus
allotropes | We explore the impact of strain on charge carrier mobility of monolayer
$\alpha$, $\beta$, $\gamma$ and $\delta$-P, the four well known atomically thin
allotropes of phosphorus, using density functional theory. Owing to the highly
anisotropic band dispersion, the charge carrier mobility of the pristine
allotropes is significantly higher (more than 5 times in some cases) in one of
the principal directions (zigzag or armchair) as compared to the other.
Uniaxial strain (upto 6% compressive/tensile) leads to bandgap alteration in
each of the allotropes, especially a direct to indirect bandgap semiconductor
transition in $\gamma$-P and a complete closure of the bandgap in $\gamma$ and
$\delta$-P. We find that the charge carrier mobility is enhanced typically by a
factor of $\approx 5-10$ in all the allotropes due to uniaxial strain; notably
among them a $\approx 250$ (30) times increase of the hole (electron) mobility
along the armchair (zigzag) direction is observed in $\beta$-P ($\gamma$-P)
under a compressive strain, acting in the armchair direction. Interestingly,
the preferred electronic conduction direction can also be changed in case of
$\alpha$ and $\gamma$-P, by applying strain.
| cond-mat.mtrl-sci | we explore the impact of strain on charge carrier mobility of monolayer alpha beta gamma and deltap the four well known atomically thin allotropes of phosphorus using density functional theory owing to the highly anisotropic band dispersion the charge carrier mobility of the pristine allotropes is significantly higher more than 5 times in some cases in one of the principal directions zigzag or armchair as compared to the other uniaxial strain upto 6 compressivetensile leads to bandgap alteration in each of the allotropes especially a direct to indirect bandgap semiconductor transition in gammap and a complete closure of the bandgap in gamma and deltap we find that the charge carrier mobility is enhanced typically by a factor of approx 510 in all the allotropes due to uniaxial strain notably among them a approx 250 30 times increase of the hole electron mobility along the armchair zigzag direction is observed in betap gammap under a compressive strain acting in the armchair direction interestingly the preferred electronic conduction direction can also be changed in case of alpha and gammap by applying strain | [['we', 'explore', 'the', 'impact', 'of', 'strain', 'on', 'charge', 'carrier', 'mobility', 'of', 'monolayer', 'alpha', 'beta', 'gamma', 'and', 'deltap', 'the', 'four', 'well', 'known', 'atomically', 'thin', 'allotropes', 'of', 'phosphorus', 'using', 'density', 'functional', 'theory', 'owing', 'to', 'the', 'highly', 'anisotropic', 'band', 'dispersion', 'the', 'charge', 'carrier', 'mobility', 'of', 'the', 'pristine', 'allotropes', 'is', 'significantly', 'higher', 'more', 'than', '5', 'times', 'in', 'some', 'cases', 'in', 'one', 'of', 'the', 'principal', 'directions', 'zigzag', 'or', 'armchair', 'as', 'compared', 'to', 'the', 'other', 'uniaxial', 'strain', 'upto', '6', 'compressivetensile', 'leads', 'to', 'bandgap', 'alteration', 'in', 'each', 'of', 'the', 'allotropes', 'especially', 'a', 'direct', 'to', 'indirect', 'bandgap', 'semiconductor', 'transition', 'in', 'gammap', 'and', 'a', 'complete', 'closure', 'of', 'the', 'bandgap', 'in', 'gamma', 'and', 'deltap', 'we', 'find', 'that', 'the', 'charge', 'carrier', 'mobility', 'is', 'enhanced', 'typically', 'by', 'a', 'factor', 'of', 'approx', '510', 'in', 'all', 'the', 'allotropes', 'due', 'to', 'uniaxial', 'strain', 'notably', 'among', 'them', 'a', 'approx', '250', '30', 'times', 'increase', 'of', 'the', 'hole', 'electron', 'mobility', 'along', 'the', 'armchair', 'zigzag', 'direction', 'is', 'observed', 'in', 'betap', 'gammap', 'under', 'a', 'compressive', 'strain', 'acting', 'in', 'the', 'armchair', 'direction', 'interestingly', 'the', 'preferred', 'electronic', 'conduction', 'direction', 'can', 'also', 'be', 'changed', 'in', 'case', 'of', 'alpha', 'and', 'gammap', 'by', 'applying', 'strain']] | [-0.1540396274009254, 0.17767776208218292, 0.010513072773917682, -0.031665011677089044, -0.004123411102530857, -0.15212672144795458, 0.09249055507178935, 0.472167771609707, -0.28072590673497566, -0.27285491182572313, -0.004685283553812446, -0.3108089560228917, -0.11855952571948163, 0.177973044774909, 0.03488154262821708, 0.0058311388155238494, -0.026747808360960336, -0.04624077348659436, -0.1114379922251424, -0.17336214520295876, 0.2065371668095597, 0.045715256123286155, 0.32210957571191506, 0.10349944540034307, -0.020122858107141737, 0.010569650397842956, 0.08530022538163595, 0.05231275473818944, -0.17288878199789098, 0.08794874615398132, 0.24885229014972637, -0.14489958286258114, 0.20597200822731893, -0.416913277686884, -0.19665811501909047, -0.0007478107032107396, 0.137565737321145, 0.10938939678275751, -0.04986387248087946, -0.23677238102665998, 0.13955259584019788, -0.16843629832793441, -0.11089212610661181, 0.004306090667119456, 0.05110039245595949, -0.025643978588696985, -0.21934750729334257, 0.1744084340078795, 0.0006716686566101594, 0.0245287957372865, -0.12350149092316214, -0.18835473224850527, -0.12338724715971491, 0.013095401929846654, 0.1221419078970535, 0.04958596588177089, 0.24228561433135634, -0.12065662710099584, -0.09226667323253221, 0.4395034736332794, -0.04528931382139692, -0.09488844760020988, 0.14511582370743983, -0.19368350268859003, -0.07914536824812078, 0.2038953206476031, 0.09763480637274269, 0.0946293050390927, -0.09725433088476873, 0.08946978565072641, 0.04306662195271605, 0.15818985741482014, 0.14171497168329855, 0.058829957943332074, 0.1842990460495154, 0.1734040347341862, 0.12718324732332903, 0.0819961079858735, -0.12221101275920065, 0.053346450776896544, -0.16635703690828652, -0.23009263737541105, -0.16010171511378657, 0.10554194037233376, -0.14830846085824306, -0.17519850887992006, 0.441035351012316, 0.10827630058758789, 0.17271372997201978, -0.04683805476848243, 0.19362777988167687, 0.09511057550747258, 0.09159881236393833, 0.02962300821673125, 0.27410054289325164, 0.17329236348418312, 0.0803836127937959, -0.21253527262403318, 0.07306619631643925, -0.04669516349159595] |
1,803.02011 | A Lower Bound for the Cardinality of Function Basis of Tensor Invariants | In this article, we give a proof for that the cardinality of a function basis
of the invariants for a finite dimensional real vector space by a compact group
is lower bounded by the intuitive difference of the dimensions of the vector
space and the group. An application is given to the space of third order three
dimensional symmetric and traceless tensors, showing that each minimal
integrity basis is an irreducible function basis, which solves a problem in
applied mechanics.
| math.AG | in this article we give a proof for that the cardinality of a function basis of the invariants for a finite dimensional real vector space by a compact group is lower bounded by the intuitive difference of the dimensions of the vector space and the group an application is given to the space of third order three dimensional symmetric and traceless tensors showing that each minimal integrity basis is an irreducible function basis which solves a problem in applied mechanics | [['in', 'this', 'article', 'we', 'give', 'a', 'proof', 'for', 'that', 'the', 'cardinality', 'of', 'a', 'function', 'basis', 'of', 'the', 'invariants', 'for', 'a', 'finite', 'dimensional', 'real', 'vector', 'space', 'by', 'a', 'compact', 'group', 'is', 'lower', 'bounded', 'by', 'the', 'intuitive', 'difference', 'of', 'the', 'dimensions', 'of', 'the', 'vector', 'space', 'and', 'the', 'group', 'an', 'application', 'is', 'given', 'to', 'the', 'space', 'of', 'third', 'order', 'three', 'dimensional', 'symmetric', 'and', 'traceless', 'tensors', 'showing', 'that', 'each', 'minimal', 'integrity', 'basis', 'is', 'an', 'irreducible', 'function', 'basis', 'which', 'solves', 'a', 'problem', 'in', 'applied', 'mechanics']] | [-0.15555673474445939, 0.12412382058428192, -0.07811119117832277, 0.029050201587961056, -0.1045368649996817, -0.05278148459619843, -0.006084950920194387, 0.3082084070891142, -0.267993348557502, -0.2100293662631884, 0.12394961510144639, -0.2213495655101724, -0.1709231231827289, 0.1688816758192843, -0.04589799704262987, 0.027422168641351163, 0.011278437590226531, 0.10376357811619527, -0.13214995937305501, -0.2845123140141368, 0.41348541020415724, -0.011154920782428236, 0.2584299195208587, 0.0347023096634075, 0.1852959475130774, 0.04263711849635001, -0.0050758844066876915, 0.036422708716781924, -0.08405909560187866, 0.17690589447593083, 0.2596141101326793, 0.13400292244477896, 0.274356344062835, -0.3578141493722796, -0.18305330690345728, 0.15291576890740544, 0.11463949977769516, 0.06462546822585864, -0.049084345996379855, -0.2574986166029703, 0.0959701307117939, -0.17455820414470508, -0.16702437441563234, -0.08488198760896921, 0.07516334580723197, -0.05543915271991864, -0.2898679351550527, 0.029968499683309346, 0.07441257445607334, 0.09781757664168253, -0.10197167439619079, -0.09249469313072041, -0.02054151884512976, 0.09395040066447109, -0.011204960962641054, 0.0860809606674593, 0.03114194006775506, -0.08088508387972979, -0.12935160381603056, 0.4041153241647407, -0.06518093460035743, -0.309387987293303, 0.1392774035455659, -0.12238345590885728, -0.11462524249218405, 0.1032543128443649, 0.1653727829660056, 0.13338341782800853, -0.0886446502418039, 0.1663729276842787, -0.11684312922880054, 0.1565113537290017, 0.03229482657043263, -0.0034525781637057664, 0.13541449430922511, 0.1216160040581599, 0.11889100140542723, 0.16384836446959525, 0.02447114137466997, -0.04110840413486585, -0.3900614217724069, -0.2419389583170414, -0.22087422916665672, 0.033347662107553334, -0.1358883765871724, -0.18607758003054187, 0.435701603005873, 0.056124548176012465, 0.1938209030078724, 0.06767269977281103, 0.2895685363793746, 0.14680393279704732, 0.04371014145790468, 0.06883138677221723, 0.1481427167134825, 0.15777473495109007, -0.01413455402944237, -0.15146404299302957, 0.0007779244042467326, 0.17439598328837747] |
1,803.02012 | A Dynamic Model of Central Counterparty Risk | We introduce a dynamic model of the default waterfall of derivatives CCPs and
propose a risk sensitive method for sizing the initial margin (IM), and the
default fund (DF) and its allocation among clearing members. Using a Markovian
structure model of joint credit migrations, our evaluation of DF takes into
account the joint credit quality of clearing members as they evolve over time.
Another important aspect of the proposed methodology is the use of the time
consistent dynamic risk measures for computation of IM and DF. We carry out a
comprehensive numerical study, where, in particular, we analyze the advantages
of the proposed methodology and its comparison with the currently prevailing
methods used in industry.
| q-fin.RM | we introduce a dynamic model of the default waterfall of derivatives ccps and propose a risk sensitive method for sizing the initial margin im and the default fund df and its allocation among clearing members using a markovian structure model of joint credit migrations our evaluation of df takes into account the joint credit quality of clearing members as they evolve over time another important aspect of the proposed methodology is the use of the time consistent dynamic risk measures for computation of im and df we carry out a comprehensive numerical study where in particular we analyze the advantages of the proposed methodology and its comparison with the currently prevailing methods used in industry | [['we', 'introduce', 'a', 'dynamic', 'model', 'of', 'the', 'default', 'waterfall', 'of', 'derivatives', 'ccps', 'and', 'propose', 'a', 'risk', 'sensitive', 'method', 'for', 'sizing', 'the', 'initial', 'margin', 'im', 'and', 'the', 'default', 'fund', 'df', 'and', 'its', 'allocation', 'among', 'clearing', 'members', 'using', 'a', 'markovian', 'structure', 'model', 'of', 'joint', 'credit', 'migrations', 'our', 'evaluation', 'of', 'df', 'takes', 'into', 'account', 'the', 'joint', 'credit', 'quality', 'of', 'clearing', 'members', 'as', 'they', 'evolve', 'over', 'time', 'another', 'important', 'aspect', 'of', 'the', 'proposed', 'methodology', 'is', 'the', 'use', 'of', 'the', 'time', 'consistent', 'dynamic', 'risk', 'measures', 'for', 'computation', 'of', 'im', 'and', 'df', 'we', 'carry', 'out', 'a', 'comprehensive', 'numerical', 'study', 'where', 'in', 'particular', 'we', 'analyze', 'the', 'advantages', 'of', 'the', 'proposed', 'methodology', 'and', 'its', 'comparison', 'with', 'the', 'currently', 'prevailing', 'methods', 'used', 'in', 'industry']] | [-0.1166494897890674, -0.04326791701352467, -0.12088959221525684, 0.08817689977282578, -0.05243836610132585, -0.14074557319121517, 0.13833708208175782, 0.3914069597487864, -0.23280375133390013, -0.23957835089253343, 0.11131407729673969, -0.22306206822395325, -0.12997801640759343, 0.1631560405999746, -0.0866220955673666, 0.05934679847433353, 0.04741609246348557, 0.0009235818222489046, -0.027708364218351957, -0.2475649590280069, 0.2916805138244577, 0.08361682980928732, 0.3045217245371769, 0.01747794192608284, 0.1033483066353137, 0.033648228214588016, -0.09208105639352099, 0.010297763307133447, -0.14424360202038256, 0.14136360443156698, 0.2514711941612641, 0.18407640615275697, 0.4102200201206395, -0.3984872512033452, -0.1925355604485325, 0.06815667962655425, 0.08350994446031425, 0.02462886915056278, -0.01288280655508456, -0.2642819228703561, 0.057041591273256295, -0.2804995935531738, -0.058073673423622615, -0.0809422293677926, 0.0020692107753585215, 0.02964414817928944, -0.32573743514645764, 0.05805855659697124, 0.018977094156687836, 0.034704799083587916, -0.09701887596520069, -0.15262450660862353, -0.020027980520187512, 0.1720071019847756, 0.0796557789708933, -0.028104658819654064, 0.13433385086245836, -0.09866848351919781, -0.13555910931495221, 0.38178538953804453, -0.05074247509727012, -0.16710116119812365, 0.15632286710543153, -0.08495965777369945, -0.14092684695092234, 0.09511546494196291, 0.21859521177475866, 0.09250808656823052, -0.16308743882084104, 0.04225302158966256, -0.0008474065638754679, 0.1488244251307586, 0.021626069834050923, 0.00955875035699295, 0.18241745040792487, 0.21539785256811783, 0.06728729198322347, 0.1622119962602206, -0.11410496796521803, -0.18663402247931, -0.24891775329799756, -0.17955407674788781, -0.10818635971163926, -0.02388458795764524, -0.11821760184513709, -0.17478030474613543, 0.438175776924776, 0.19618937189326338, 0.12650583836695423, 0.07324507654361102, 0.3376405337056064, 0.1219944845966023, 0.05358288918986269, 0.09622257484690003, 0.17804251052439213, 0.019254786747953168, 0.11091996950765505, -0.2193950720090905, 0.15711799801286797, -0.011147554996220962] |
1,803.02013 | Modulational instability, rogue waves, and envelope solitons in opposite
polarity dusty plasmas | Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have
been investigated theoretically in a plasma system consisting of inertial
opposite polarity (positively and negatively) warm adiabatic charged dust
particles as well as inertialess non-extensive $q$-distributed electrons and
non-thermal ions. A nonlinear Schr\"{o}dinger (NLS) equation is derived by
using the reductive perturbation method. It has been observed from the analysis
of NLS equaion that the modulationally stable solitary DAWs give rise to the
existence of dark envelope solitons, and that the modulationally unstable
solitary DAWs give rise to the existence of bright envelope solitons or rogue
structures. It is also observed for the fast mode of DAWs that the basic
features (viz. stability of the DAWs, MI growth rate, amplitude and width of
the DA rogue waves, etc.) are significantly modified by the related plasma
parameters (viz. dust masses, dust charge state, non-extensive parameter $q$,
and non-thermal parameter $\alpha$). The results of our present investigation
might be useful for understanding different nonlinear electrostatic phenomena
in both space (viz. ionosphere and mesosphere) and laboratory plasmas (viz.
high intensity laser irradiation and hot cathode discharge).
| physics.plasm-ph | dustacoustic da waves daws and their modulational instability mi have been investigated theoretically in a plasma system consisting of inertial opposite polarity positively and negatively warm adiabatic charged dust particles as well as inertialess nonextensive qdistributed electrons and nonthermal ions a nonlinear schrodinger nls equation is derived by using the reductive perturbation method it has been observed from the analysis of nls equaion that the modulationally stable solitary daws give rise to the existence of dark envelope solitons and that the modulationally unstable solitary daws give rise to the existence of bright envelope solitons or rogue structures it is also observed for the fast mode of daws that the basic features viz stability of the daws mi growth rate amplitude and width of the da rogue waves etc are significantly modified by the related plasma parameters viz dust masses dust charge state nonextensive parameter q and nonthermal parameter alpha the results of our present investigation might be useful for understanding different nonlinear electrostatic phenomena in both space viz ionosphere and mesosphere and laboratory plasmas viz high intensity laser irradiation and hot cathode discharge | [['dustacoustic', 'da', 'waves', 'daws', 'and', 'their', 'modulational', 'instability', 'mi', 'have', 'been', 'investigated', 'theoretically', 'in', 'a', 'plasma', 'system', 'consisting', 'of', 'inertial', 'opposite', 'polarity', 'positively', 'and', 'negatively', 'warm', 'adiabatic', 'charged', 'dust', 'particles', 'as', 'well', 'as', 'inertialess', 'nonextensive', 'qdistributed', 'electrons', 'and', 'nonthermal', 'ions', 'a', 'nonlinear', 'schrodinger', 'nls', 'equation', 'is', 'derived', 'by', 'using', 'the', 'reductive', 'perturbation', 'method', 'it', 'has', 'been', 'observed', 'from', 'the', 'analysis', 'of', 'nls', 'equaion', 'that', 'the', 'modulationally', 'stable', 'solitary', 'daws', 'give', 'rise', 'to', 'the', 'existence', 'of', 'dark', 'envelope', 'solitons', 'and', 'that', 'the', 'modulationally', 'unstable', 'solitary', 'daws', 'give', 'rise', 'to', 'the', 'existence', 'of', 'bright', 'envelope', 'solitons', 'or', 'rogue', 'structures', 'it', 'is', 'also', 'observed', 'for', 'the', 'fast', 'mode', 'of', 'daws', 'that', 'the', 'basic', 'features', 'viz', 'stability', 'of', 'the', 'daws', 'mi', 'growth', 'rate', 'amplitude', 'and', 'width', 'of', 'the', 'da', 'rogue', 'waves', 'etc', 'are', 'significantly', 'modified', 'by', 'the', 'related', 'plasma', 'parameters', 'viz', 'dust', 'masses', 'dust', 'charge', 'state', 'nonextensive', 'parameter', 'q', 'and', 'nonthermal', 'parameter', 'alpha', 'the', 'results', 'of', 'our', 'present', 'investigation', 'might', 'be', 'useful', 'for', 'understanding', 'different', 'nonlinear', 'electrostatic', 'phenomena', 'in', 'both', 'space', 'viz', 'ionosphere', 'and', 'mesosphere', 'and', 'laboratory', 'plasmas', 'viz', 'high', 'intensity', 'laser', 'irradiation', 'and', 'hot', 'cathode', 'discharge']] | [-0.13231095173370586, 0.22624955055365278, -0.08371767636572758, 0.10628562243425052, -0.06107319798320532, -0.13374718760170942, -0.07156942278955254, 0.33781488576729957, -0.20430535733556518, -0.21872935246594333, 0.07134130415071703, -0.2560035445200341, -0.09944494047258459, 0.20450692389104105, 0.0329670089701252, 0.05035249998404102, 0.012099691861754304, -0.058993291172485515, 0.05401231609361635, -0.14757527688589805, 0.3044125058938964, 0.08663272837709103, 0.2795485323039139, 0.049477321666327644, 0.06726789592693631, -0.06633945983440544, 0.019882989531782056, -0.033256903242295514, -0.17894866094894285, 0.004318286747298112, 0.20998875870098166, 0.061570100603973145, 0.21941675896536314, -0.423344982992653, -0.30924938853502604, 0.03878845934049933, 0.19936915750328738, 0.08909648492888184, -0.07380258156690915, -0.3196367399567472, 0.02367355884308671, -0.13985193484452563, -0.18229369605011256, 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1,803.02014 | Properties of solutions to some weighted $p$-Laplacian equation | In this paper, we prove some qualitative properties for the positive
solutions to some degenerate elliptic equation given by
\[-\operatorname{div}(w|\nabla u|^{p-2}\nabla u)=f(x,u);\;\;w\in
\mathcal{A}_p\] on smooth domain and for varying nonlinearity $f$.
| math.AP | in this paper we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by operatornamedivwnabla up2nabla ufxuwin mathcala_p on smooth domain and for varying nonlinearity f | [['in', 'this', 'paper', 'we', 'prove', 'some', 'qualitative', 'properties', 'for', 'the', 'positive', 'solutions', 'to', 'some', 'degenerate', 'elliptic', 'equation', 'given', 'by', 'operatornamedivwnabla', 'up2nabla', 'ufxuwin', 'mathcala_p', 'on', 'smooth', 'domain', 'and', 'for', 'varying', 'nonlinearity', 'f']] | [-0.16743159061297774, 0.012192098290792533, -0.0380237527258162, 0.04389845960291235, -0.12980228130306518, -0.1795413888591741, -0.03435212310120862, 0.34061049909463953, -0.33037286823881523, -0.19569419956366932, 0.12177997680763449, -0.34049266669899225, -0.1462415632392679, 0.23601712313081538, -0.12268722177084003, 0.12936854056481803, 0.046125246810593774, 0.013073960917868785, -0.08396154269576073, -0.2503157065116933, 0.4675469978579453, -0.1819039805393134, 0.15072614450140723, 0.12172685510345868, 0.10997106257959136, -0.049424845076698275, 0.059537913384182115, -0.010738190662647997, -0.26848003334764925, 0.08716887238967631, 0.2696413320622274, 0.013898257839693022, 0.31334192625113894, -0.4007838363093989, -0.23338183610966162, 0.15861661871895194, 0.13218126688817783, 0.030044282853071178, -0.10502652529560562, -0.29641427046486307, 0.1483317975487028, -0.0681726284591215, -0.20474777112914516, -0.08942139696695708, 0.06323150392355663, 0.1308852301112243, -0.31418460813750115, 0.08207697388050812, 0.12508845162977064, 0.06797824271156319, -0.1458761099992054, -0.10046252861086812, 0.0037892471134130445, 0.007447119236790708, 0.04144223701275353, 0.043441611071882234, -0.05553926106741918, -0.16332635819812172, 0.014581590624792235, 0.3008717978705785, -0.11756216335509505, -0.34232315447713646, 0.11425946716086141, -0.16300314955879003, -0.14761644625104964, 0.06382688040113342, 0.18938527144824288, 0.1736505888402462, -0.09121969844480711, 0.15136659660700907, -0.047475884635267515, 0.14906651473471097, 0.14223583095840045, -0.0275466817630721, 0.05254421292504828, 0.06162800137618823, 0.11538327689881303, 0.11820561851241759, 0.08607141744245642, -0.0745540768340496, -0.3733653769429241, -0.13069529172831348, -0.12995415473622934, 0.13473862782120705, -0.09346187635206402, -0.18502223824283906, 0.428897256962955, 0.08815795592298466, 0.20154321366654976, 0.06605758986968015, 0.18367766592252469, 0.17273028078489006, -0.1123753653040954, 0.06001859990231294, 0.1408572859301265, 0.1119942631921731, 0.13692211860325187, -0.23264401084244518, 0.03639227817101138, 0.09780556824989617] |
1,803.02015 | Generative Modeling of Multimodal Multi-Human Behavior | This work presents a methodology for modeling and predicting human behavior
in settings with N humans interacting in highly multimodal scenarios (i.e.
where there are many possible highly-distinct futures). A motivating example
includes robots interacting with humans in crowded environments, such as
self-driving cars operating alongside human-driven vehicles or human-robot
collaborative bin packing in a warehouse. Our approach to model human behavior
in such uncertain environments is to model humans in the scene as nodes in a
graphical model, with edges encoding relationships between them. For each
human, we learn a multimodal probability distribution over future actions from
a dataset of multi-human interactions. Learning such distributions is made
possible by recent advances in the theory of conditional variational
autoencoders and deep learning approximations of probabilistic graphical
models. Specifically, we learn action distributions conditioned on interaction
history, neighboring human behavior, and candidate future agent behavior in
order to take into account response dynamics. We demonstrate the performance of
such a modeling approach in modeling basketball player trajectories, a highly
multimodal, multi-human scenario which serves as a proxy for many robotic
applications.
| cs.RO cs.HC | this work presents a methodology for modeling and predicting human behavior in settings with n humans interacting in highly multimodal scenarios ie where there are many possible highlydistinct futures a motivating example includes robots interacting with humans in crowded environments such as selfdriving cars operating alongside humandriven vehicles or humanrobot collaborative bin packing in a warehouse our approach to model human behavior in such uncertain environments is to model humans in the scene as nodes in a graphical model with edges encoding relationships between them for each human we learn a multimodal probability distribution over future actions from a dataset of multihuman interactions learning such distributions is made possible by recent advances in the theory of conditional variational autoencoders and deep learning approximations of probabilistic graphical models specifically we learn action distributions conditioned on interaction history neighboring human behavior and candidate future agent behavior in order to take into account response dynamics we demonstrate the performance of such a modeling approach in modeling basketball player trajectories a highly multimodal multihuman scenario which serves as a proxy for many robotic applications | [['this', 'work', 'presents', 'a', 'methodology', 'for', 'modeling', 'and', 'predicting', 'human', 'behavior', 'in', 'settings', 'with', 'n', 'humans', 'interacting', 'in', 'highly', 'multimodal', 'scenarios', 'ie', 'where', 'there', 'are', 'many', 'possible', 'highlydistinct', 'futures', 'a', 'motivating', 'example', 'includes', 'robots', 'interacting', 'with', 'humans', 'in', 'crowded', 'environments', 'such', 'as', 'selfdriving', 'cars', 'operating', 'alongside', 'humandriven', 'vehicles', 'or', 'humanrobot', 'collaborative', 'bin', 'packing', 'in', 'a', 'warehouse', 'our', 'approach', 'to', 'model', 'human', 'behavior', 'in', 'such', 'uncertain', 'environments', 'is', 'to', 'model', 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1,803.02016 | LAMOST DR1: Stellar parameters and chemical abundances with SP_Ace | We present a new analysis of the LAMOST DR1 survey spectral database
performed with the code SP_Ace, which provides the derived stellar parameters
T$_{\rm eff}$, log (g), [Fe/H], and [$\alpha$/Fe] for 1,097,231 stellar
objects. We tested the reliability of our results by comparing them to
reference results from high spectral resolution surveys. The expected errors
can be summarized as $\sim$120 K in T$_{\rm eff}$, $\sim$0.2 in log (g),
$\sim$0.15 dex in [Fe/H], and $\sim$0.1 dex in [$\alpha$/Fe] for spectra with
S/N$>$40, with some differences between dwarf and giant stars. SP_Ace provides
error estimations consistent with the discrepancies observed between derived
and reference parameters. Some systematic errors are identified and discussed.
The resulting catalog is publicly available at the LAMOST and CDS websites.
| astro-ph.GA astro-ph.SR | we present a new analysis of the lamost dr1 survey spectral database performed with the code sp_ace which provides the derived stellar parameters t_rm eff log g feh and alphafe for 1097231 stellar objects we tested the reliability of our results by comparing them to reference results from high spectral resolution surveys the expected errors can be summarized as sim120 k in t_rm eff sim02 in log g sim015 dex in feh and sim01 dex in alphafe for spectra with sn40 with some differences between dwarf and giant stars sp_ace provides error estimations consistent with the discrepancies observed between derived and reference parameters some systematic errors are identified and discussed the resulting catalog is publicly available at the lamost and cds websites | [['we', 'present', 'a', 'new', 'analysis', 'of', 'the', 'lamost', 'dr1', 'survey', 'spectral', 'database', 'performed', 'with', 'the', 'code', 'sp_ace', 'which', 'provides', 'the', 'derived', 'stellar', 'parameters', 't_rm', 'eff', 'log', 'g', 'feh', 'and', 'alphafe', 'for', '1097231', 'stellar', 'objects', 'we', 'tested', 'the', 'reliability', 'of', 'our', 'results', 'by', 'comparing', 'them', 'to', 'reference', 'results', 'from', 'high', 'spectral', 'resolution', 'surveys', 'the', 'expected', 'errors', 'can', 'be', 'summarized', 'as', 'sim120', 'k', 'in', 't_rm', 'eff', 'sim02', 'in', 'log', 'g', 'sim015', 'dex', 'in', 'feh', 'and', 'sim01', 'dex', 'in', 'alphafe', 'for', 'spectra', 'with', 'sn40', 'with', 'some', 'differences', 'between', 'dwarf', 'and', 'giant', 'stars', 'sp_ace', 'provides', 'error', 'estimations', 'consistent', 'with', 'the', 'discrepancies', 'observed', 'between', 'derived', 'and', 'reference', 'parameters', 'some', 'systematic', 'errors', 'are', 'identified', 'and', 'discussed', 'the', 'resulting', 'catalog', 'is', 'publicly', 'available', 'at', 'the', 'lamost', 'and', 'cds', 'websites']] | [-0.045317669568414036, 0.08225120831481066, -0.055298337784080095, 0.10473221977345246, -0.06629123604492754, -0.08290956392191536, 0.10765872281891378, 0.44151619652455504, -0.1558705812458657, -0.4593043651524161, 0.016262311630782265, -0.34538215933721667, 0.020510599956162705, 0.2562134859675526, -0.11380948023177868, -0.006755321540615775, 0.12391785299790299, -0.0735888839699328, -0.09223380990683347, -0.28738297509753014, 0.2452468972264458, 0.08158720208886118, 0.14273892074807987, -0.06532627408785269, 0.021277532334562605, -0.15082850569689815, -0.10473442887348577, 0.024964964792732733, -0.24707693471534808, 0.04629086396726202, 0.3245320551112787, 0.13923640728520215, 0.17594538575946544, -0.24501767091083626, -0.1606693305690919, -0.005142778847058696, 0.1706211178963773, 0.04044814940738253, -0.08501632952647022, -0.2817469436794612, 0.0901674168922338, -0.175252950327925, -0.1256764888424765, 0.012274456541580707, 0.028217242738185835, 0.0490704267362733, -0.25313199537013437, 0.12904211267355584, -0.028379405625472386, 0.20499750852107632, -0.09210063554038686, -0.2656974132626879, -0.11286270020583505, 0.13214559079877156, 0.0023838451405417574, 0.08009493304801381, 0.08969495939244786, -0.04739756919135732, 0.02985616000551992, 0.4327053668300721, -0.16644741947308553, 0.010732847877320149, 0.1176226685739561, -0.13337007829195952, -0.15784840359283256, 0.05818638597395702, 0.12131516914237445, 0.11209786279523391, -0.17753275316824352, 0.021508927887097802, 0.049677782322564895, 0.25645753819387684, 0.026523659991202413, 0.053415046402538, 0.23929110512691587, 0.0970591423274903, -0.010189518109271841, 0.013228391592529379, -0.2318576814836249, 0.003060843540578773, -0.26623609322238684, -0.07021281074670967, -0.09814304555189018, 0.024042182922370977, -0.2061270855221424, -0.10488449948385728, 0.31982152466469804, 0.17954238502824418, 0.22422387118428205, 0.09776936509946654, 0.31651679675810596, 0.06427205388996103, 0.0966106564314528, 0.1513469974040862, 0.2489674829109187, 0.17566170567869832, 0.05676196067601689, -0.22882638102366534, 0.06992193049879183, -0.006224313183218117] |
1,803.02017 | Depth and regularity of monomial ideals via polarization and
combinatorial optimization | In this paper we use polarization to study the behavior of the depth and
regularity of a monomial ideal $I$, locally at a variable $x_i$, when we lower
the degree of all the highest powers of the variable $x_i$ occurring in the
minimal generating set of $I$, and examine the depth and regularity of powers
of edge ideals of clutters using combinatorial optimization techniques. If $I$
is the edge ideal of an unmixed clutter with the max-flow min-cut property, we
show that the powers of $I$ have non-increasing depth and non-decreasing
regularity. In particular edge ideals of unmixed bipartite graphs have
non-decreasing regularity. We are able to show that the symbolic powers of the
ideal of covers of the clique clutter of a strongly perfect graph have
non-increasing depth. A similar result holds for the ideal of covers of a
uniform ideal clutter.
| math.AC math.CO | in this paper we use polarization to study the behavior of the depth and regularity of a monomial ideal i locally at a variable x_i when we lower the degree of all the highest powers of the variable x_i occurring in the minimal generating set of i and examine the depth and regularity of powers of edge ideals of clutters using combinatorial optimization techniques if i is the edge ideal of an unmixed clutter with the maxflow mincut property we show that the powers of i have nonincreasing depth and nondecreasing regularity in particular edge ideals of unmixed bipartite graphs have nondecreasing regularity we are able to show that the symbolic powers of the ideal of covers of the clique clutter of a strongly perfect graph have nonincreasing depth a similar result holds for the ideal of covers of a uniform ideal clutter | [['in', 'this', 'paper', 'we', 'use', 'polarization', 'to', 'study', 'the', 'behavior', 'of', 'the', 'depth', 'and', 'regularity', 'of', 'a', 'monomial', 'ideal', 'i', 'locally', 'at', 'a', 'variable', 'x_i', 'when', 'we', 'lower', 'the', 'degree', 'of', 'all', 'the', 'highest', 'powers', 'of', 'the', 'variable', 'x_i', 'occurring', 'in', 'the', 'minimal', 'generating', 'set', 'of', 'i', 'and', 'examine', 'the', 'depth', 'and', 'regularity', 'of', 'powers', 'of', 'edge', 'ideals', 'of', 'clutters', 'using', 'combinatorial', 'optimization', 'techniques', 'if', 'i', 'is', 'the', 'edge', 'ideal', 'of', 'an', 'unmixed', 'clutter', 'with', 'the', 'maxflow', 'mincut', 'property', 'we', 'show', 'that', 'the', 'powers', 'of', 'i', 'have', 'nonincreasing', 'depth', 'and', 'nondecreasing', 'regularity', 'in', 'particular', 'edge', 'ideals', 'of', 'unmixed', 'bipartite', 'graphs', 'have', 'nondecreasing', 'regularity', 'we', 'are', 'able', 'to', 'show', 'that', 'the', 'symbolic', 'powers', 'of', 'the', 'ideal', 'of', 'covers', 'of', 'the', 'clique', 'clutter', 'of', 'a', 'strongly', 'perfect', 'graph', 'have', 'nonincreasing', 'depth', 'a', 'similar', 'result', 'holds', 'for', 'the', 'ideal', 'of', 'covers', 'of', 'a', 'uniform', 'ideal', 'clutter']] | [-0.15167812373280734, 0.07768911614753973, -0.03139237334326535, -0.010376280232274031, -0.060951607865183714, -0.1234649091900385, -0.011460599928306272, 0.38363743663628724, -0.34676617113026703, -0.1954072991832179, 0.11367983528057934, -0.28080689509796514, -0.10703425292557404, 0.10624579493431831, -0.11896339227393321, 0.06006311021185109, 0.06330778887023225, 0.0805881211495066, -0.03173133662255225, -0.2954543479500498, 0.3917238875910952, 0.01939403038094198, 0.2124876203927231, 0.052827234992959334, 0.10463813709101633, 0.01975697794134592, -0.050661622592202436, 0.09478286404970225, -0.19796766144749822, 0.1394054812002256, 0.2559864494308074, 0.16544481319329746, 0.24504788178247172, -0.4012474532603853, -0.12885072283524943, 0.20320284016547607, 0.0846693509818426, 0.01654053714217527, 0.01052385769211329, -0.15656983835453336, 0.16708093963342008, -0.13410108065213502, -0.15567268167094855, -0.01130436556869662, 0.07433251717284166, 0.09132098938970194, -0.3476571595569799, 0.015106933315160808, 0.17946698248607817, 0.10724391708788755, -0.0056910253182001465, -0.12805939824287813, -0.04406622245458404, 0.06341724143908163, -0.041306718762221556, -0.008856226366104466, 0.04770413661453795, -0.22673824979513363, -0.1250382658473535, 0.3573446574301778, -0.05105133166119873, -0.17142449053642633, 0.15710232916069902, -0.18242860064105867, -0.13125083896403128, 0.13868021856915283, 0.10198434562116236, 0.15548478815235667, -0.04923831241848875, 0.13009119740120703, -0.14209681427614254, 0.08691530689024009, 0.11893503634597767, 0.09406039801953764, 0.13588295766425976, 0.10980236399723413, 0.14171132400885902, 0.21433065363394838, -0.07057882063221056, 0.044712759834434186, -0.32856472295715466, -0.18338902612132105, -0.22236783317228376, 0.0904835037157669, -0.15191845946344448, -0.17239916576007447, 0.44512563003422495, 0.16131747327093687, 0.18445196664416708, 0.09713713108998287, 0.2581984819127963, 0.09913830503658962, -0.04100354095933946, 0.13897796068666177, 0.13992836284760543, 0.15862230905755, 0.008307880780601, -0.17031663308372735, 0.07955045123597594, 0.090289177568434] |
1,803.02018 | Intent-aware Multi-agent Reinforcement Learning | This paper proposes an intent-aware multi-agent planning framework as well as
a learning algorithm. Under this framework, an agent plans in the goal space to
maximize the expected utility. The planning process takes the belief of other
agents' intents into consideration. Instead of formulating the learning problem
as a partially observable Markov decision process (POMDP), we propose a simple
but effective linear function approximation of the utility function. It is
based on the observation that for humans, other people's intents will pose an
influence on our utility for a goal. The proposed framework has several major
advantages: i) it is computationally feasible and guaranteed to converge. ii)
It can easily integrate existing intent prediction and low-level planning
algorithms. iii) It does not suffer from sparse feedbacks in the action space.
We experiment our algorithm in a real-world problem that is non-episodic, and
the number of agents and goals can vary over time. Our algorithm is trained in
a scene in which aerial robots and humans interact, and tested in a novel scene
with a different environment. Experimental results show that our algorithm
achieves the best performance and human-like behaviors emerge during the
dynamic process.
| cs.AI | this paper proposes an intentaware multiagent planning framework as well as a learning algorithm under this framework an agent plans in the goal space to maximize the expected utility the planning process takes the belief of other agents intents into consideration instead of formulating the learning problem as a partially observable markov decision process pomdp we propose a simple but effective linear function approximation of the utility function it is based on the observation that for humans other peoples intents will pose an influence on our utility for a goal the proposed framework has several major advantages i it is computationally feasible and guaranteed to converge ii it can easily integrate existing intent prediction and lowlevel planning algorithms iii it does not suffer from sparse feedbacks in the action space we experiment our algorithm in a realworld problem that is nonepisodic and the number of agents and goals can vary over time our algorithm is trained in a scene in which aerial robots and humans interact and tested in a novel scene with a different environment experimental results show that our algorithm achieves the best performance and humanlike behaviors emerge during the dynamic process | [['this', 'paper', 'proposes', 'an', 'intentaware', 'multiagent', 'planning', 'framework', 'as', 'well', 'as', 'a', 'learning', 'algorithm', 'under', 'this', 'framework', 'an', 'agent', 'plans', 'in', 'the', 'goal', 'space', 'to', 'maximize', 'the', 'expected', 'utility', 'the', 'planning', 'process', 'takes', 'the', 'belief', 'of', 'other', 'agents', 'intents', 'into', 'consideration', 'instead', 'of', 'formulating', 'the', 'learning', 'problem', 'as', 'a', 'partially', 'observable', 'markov', 'decision', 'process', 'pomdp', 'we', 'propose', 'a', 'simple', 'but', 'effective', 'linear', 'function', 'approximation', 'of', 'the', 'utility', 'function', 'it', 'is', 'based', 'on', 'the', 'observation', 'that', 'for', 'humans', 'other', 'peoples', 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1,803.02019 | Modelling stock correlations with expected returns from investors | Stock correlations is crucial to asset pricing, investor decision-making, and
financial risk regulations. However, microscopic explanation based on
agent-based modeling is still lacking. We here propose a model derived from
minority game for modeling stock correlations, in which an agent's expected
return for one stock is influenced by the historical return of the other stock.
Each agent makes a decision based on his expected return with reference to
information dissemination and the historical return of the stock. We find that
the returns of the stocks are positively (negatively) correlated when agents'
expected returns for one stock are positively (negatively) correlated with the
historical return of the other. We provide both numerical simulations and
analytical studies and give explanations to stock correlations for cases with
agents having either homogeneous or heterogeneous expected returns. The result
still holds when other factors such as holding decisions and external events
are included which broadens the practicability of the model.
| q-fin.CP q-fin.ST | stock correlations is crucial to asset pricing investor decisionmaking and financial risk regulations however microscopic explanation based on agentbased modeling is still lacking we here propose a model derived from minority game for modeling stock correlations in which an agents expected return for one stock is influenced by the historical return of the other stock each agent makes a decision based on his expected return with reference to information dissemination and the historical return of the stock we find that the returns of the stocks are positively negatively correlated when agents expected returns for one stock are positively negatively correlated with the historical return of the other we provide both numerical simulations and analytical studies and give explanations to stock correlations for cases with agents having either homogeneous or heterogeneous expected returns the result still holds when other factors such as holding decisions and external events are included which broadens the practicability of the model | [['stock', 'correlations', 'is', 'crucial', 'to', 'asset', 'pricing', 'investor', 'decisionmaking', 'and', 'financial', 'risk', 'regulations', 'however', 'microscopic', 'explanation', 'based', 'on', 'agentbased', 'modeling', 'is', 'still', 'lacking', 'we', 'here', 'propose', 'a', 'model', 'derived', 'from', 'minority', 'game', 'for', 'modeling', 'stock', 'correlations', 'in', 'which', 'an', 'agents', 'expected', 'return', 'for', 'one', 'stock', 'is', 'influenced', 'by', 'the', 'historical', 'return', 'of', 'the', 'other', 'stock', 'each', 'agent', 'makes', 'a', 'decision', 'based', 'on', 'his', 'expected', 'return', 'with', 'reference', 'to', 'information', 'dissemination', 'and', 'the', 'historical', 'return', 'of', 'the', 'stock', 'we', 'find', 'that', 'the', 'returns', 'of', 'the', 'stocks', 'are', 'positively', 'negatively', 'correlated', 'when', 'agents', 'expected', 'returns', 'for', 'one', 'stock', 'are', 'positively', 'negatively', 'correlated', 'with', 'the', 'historical', 'return', 'of', 'the', 'other', 'we', 'provide', 'both', 'numerical', 'simulations', 'and', 'analytical', 'studies', 'and', 'give', 'explanations', 'to', 'stock', 'correlations', 'for', 'cases', 'with', 'agents', 'having', 'either', 'homogeneous', 'or', 'heterogeneous', 'expected', 'returns', 'the', 'result', 'still', 'holds', 'when', 'other', 'factors', 'such', 'as', 'holding', 'decisions', 'and', 'external', 'events', 'are', 'included', 'which', 'broadens', 'the', 'practicability', 'of', 'the', 'model']] | [-0.05416699037436516, 0.09462060202898893, -0.08696774802501163, 0.17366740330452882, -0.07983064212378174, -0.19468948962467333, 0.11933258446684528, 0.44417482633744515, -0.24978873764254875, -0.2701383086503483, 0.1355060663006659, -0.36724373724672105, -0.14026338181818926, 0.1717215557838039, -0.1060114195630435, -0.023812363696314634, 0.04332922517261918, 0.04394547900714491, 0.07716735378057966, -0.31805183837010015, 0.274564138255007, 0.07679444127866338, 0.3023677056625245, 0.022233188023129777, 0.0987153307294413, 0.04284415758485275, -0.09289868419479218, 0.02103067424922624, -0.10647671622127453, 0.15914302430408556, 0.2879368174941309, 0.11659426863545612, 0.352858165315082, -0.4474796661566342, -0.16155788523836, 0.11929615864289865, 0.05219306670459768, 0.0433056024579151, -0.0009134969448730831, -0.28298730576230635, -0.007815688067386228, -0.19642534624905356, -0.098049474504566, -0.08703980839045178, 0.06054325655943924, 0.06295545314393577, -0.30531959768362166, 0.07543356646182797, 0.03322042758246103, 0.06166948504866131, -0.08535832271821076, -0.12645534814725962, -0.0376494990691783, 0.20111926373567493, 0.15920784148958422, -0.05893786670489898, 0.1733907400750585, -0.14687629387143158, -0.21319264313506503, 0.40979054486679456, -0.0444673694655179, -0.15569122233428062, 0.13241748777218162, -0.15526754581519672, -0.09022994419004048, 0.0807097741102259, 0.17877622948182115, 0.010119555124941643, -0.1726393957151055, -0.013142012232809417, -0.057206720789714206, 0.188787841796875, -0.0014655108984199263, -0.001181174883799207, 0.22664008038494016, 0.19079679322819557, 0.0994007300728211, 0.07349744266079318, -0.047024219405026206, -0.208356092233331, -0.23010835640372768, -0.11418597527268913, -0.1352676444987376, 0.08181932755115051, -0.13866290458461134, -0.1973318309395484, 0.3495580114634527, 0.19402239914202402, 0.11493670361176614, 0.09069725327163694, 0.26817503912794977, 0.12400819177273661, -0.0351961241614434, 0.11797778164487212, 0.17279823577752518, -0.039972741954449206, 0.12960463051473903, -0.15227324722725297, 0.2549318809362669, -0.01716926419476588] |
1,803.0202 | Light-Matter Interactions via the Exact Factorization Approach | The exact factorization approach, originally developed for electron-nuclear
dynamics, is extended to light-matter interactions within the dipole
approximation. This allows for a Schrodinger equation for the photonic
wavefunction, in which the potential contains exactly the effects on the photon
field of its coupling to matter. We illustrate the formalism and potential for
a two-level system representing the matter, coupled to an infinite number of
photon modes in the Wigner-Weisskopf approximation, as well as a single mode
with various coupling strengths. Significant differences are found with the
potential used in conventional approaches, especially for strong-couplings. We
discuss how our exact factorization approach for light-matter interactions can
be used as a guideline to develop semiclassical trajectory methods for
efficient simulations of light-matter dynamics.
| quant-ph | the exact factorization approach originally developed for electronnuclear dynamics is extended to lightmatter interactions within the dipole approximation this allows for a schrodinger equation for the photonic wavefunction in which the potential contains exactly the effects on the photon field of its coupling to matter we illustrate the formalism and potential for a twolevel system representing the matter coupled to an infinite number of photon modes in the wignerweisskopf approximation as well as a single mode with various coupling strengths significant differences are found with the potential used in conventional approaches especially for strongcouplings we discuss how our exact factorization approach for lightmatter interactions can be used as a guideline to develop semiclassical trajectory methods for efficient simulations of lightmatter dynamics | [['the', 'exact', 'factorization', 'approach', 'originally', 'developed', 'for', 'electronnuclear', 'dynamics', 'is', 'extended', 'to', 'lightmatter', 'interactions', 'within', 'the', 'dipole', 'approximation', 'this', 'allows', 'for', 'a', 'schrodinger', 'equation', 'for', 'the', 'photonic', 'wavefunction', 'in', 'which', 'the', 'potential', 'contains', 'exactly', 'the', 'effects', 'on', 'the', 'photon', 'field', 'of', 'its', 'coupling', 'to', 'matter', 'we', 'illustrate', 'the', 'formalism', 'and', 'potential', 'for', 'a', 'twolevel', 'system', 'representing', 'the', 'matter', 'coupled', 'to', 'an', 'infinite', 'number', 'of', 'photon', 'modes', 'in', 'the', 'wignerweisskopf', 'approximation', 'as', 'well', 'as', 'a', 'single', 'mode', 'with', 'various', 'coupling', 'strengths', 'significant', 'differences', 'are', 'found', 'with', 'the', 'potential', 'used', 'in', 'conventional', 'approaches', 'especially', 'for', 'strongcouplings', 'we', 'discuss', 'how', 'our', 'exact', 'factorization', 'approach', 'for', 'lightmatter', 'interactions', 'can', 'be', 'used', 'as', 'a', 'guideline', 'to', 'develop', 'semiclassical', 'trajectory', 'methods', 'for', 'efficient', 'simulations', 'of', 'lightmatter', 'dynamics']] | [-0.10786457683059796, 0.10570758974339817, -0.11099973202525246, 0.09981682797324312, -0.044133274263725424, -0.1555489939714451, 0.0037456413515466304, 0.36788137929036846, -0.23680105685325695, -0.302184337442202, -0.0034401735150416898, -0.2557484228723184, -0.14600627210514605, 0.1875790451183792, 0.0661366400020274, 0.08686464263678505, 0.03248143787996089, 0.03301775889001664, -0.03147204973049893, -0.15851235392788224, 0.281333394887403, 0.039449818832568886, 0.2679784947348189, 0.09087895361075471, 0.09298533390079863, 0.04759591160734638, 0.07003611573287524, 0.005121545304259486, -0.08636543120465372, 0.10725569797387301, 0.26587710040044193, 0.04868077451498142, 0.28266735436887414, -0.44931939664520015, -0.21459401032261066, 0.0569432826235521, 0.20225461985153909, 0.20886710738235978, -0.06479673317180415, -0.2992971197217087, -0.004785380487845949, -0.2007663540151509, -0.1694020130577755, -0.13948218757286668, -0.00953952229123809, 0.02075043155942574, -0.30484966297195226, 0.05209075471324738, -0.006693909488318195, -0.03011179932447012, -0.03846341552942114, -0.07295103597720269, 0.05460172919614225, 0.09781572005368985, 0.00438115124067307, 0.014788147705414213, 0.11595824809960467, -0.13857447927454986, -0.139375549231171, 0.42121087173230887, -0.11518890138769383, -0.24578111762688917, 0.18257788103843522, -0.0823222566877053, -0.09542652400795462, 0.10948219949625863, 0.17320174011902129, 0.11821577935056253, -0.15450070595584256, 0.11847539296063926, 0.031397554469256364, 0.1551424403913504, -0.005121493036666315, 0.08284267012707212, 0.1990799374786044, 0.18345614274086292, 0.00834472056801531, 0.1322450828478741, -0.059639377136568514, -0.14470362069069848, -0.292290264047867, -0.12844605073465679, -0.17828296393628448, 0.034027182770323405, -0.0969273446757714, -0.18342248236468014, 0.4209893502310411, 0.17561531088060953, 0.12563502054261275, 0.021485860198774676, 0.3168131169124145, 0.16188712311285156, 0.05769572335426226, 0.02891376048465036, 0.297138242913056, 0.17980482077518525, 0.06985719877195136, -0.2731644574221809, -0.016965325388764916, 0.06351938623981165] |
1,803.02021 | Understanding Short-Horizon Bias in Stochastic Meta-Optimization | Careful tuning of the learning rate, or even schedules thereof, can be
crucial to effective neural net training. There has been much recent interest
in gradient-based meta-optimization, where one tunes hyperparameters, or even
learns an optimizer, in order to minimize the expected loss when the training
procedure is unrolled. But because the training procedure must be unrolled
thousands of times, the meta-objective must be defined with an
orders-of-magnitude shorter time horizon than is typical for neural net
training. We show that such short-horizon meta-objectives cause a serious bias
towards small step sizes, an effect we term short-horizon bias. We introduce a
toy problem, a noisy quadratic cost function, on which we analyze short-horizon
bias by deriving and comparing the optimal schedules for short and long time
horizons. We then run meta-optimization experiments (both offline and online)
on standard benchmark datasets, showing that meta-optimization chooses too
small a learning rate by multiple orders of magnitude, even when run with a
moderately long time horizon (100 steps) typical of work in the area. We
believe short-horizon bias is a fundamental problem that needs to be addressed
if meta-optimization is to scale to practical neural net training regimes.
| cs.LG stat.ML | careful tuning of the learning rate or even schedules thereof can be crucial to effective neural net training there has been much recent interest in gradientbased metaoptimization where one tunes hyperparameters or even learns an optimizer in order to minimize the expected loss when the training procedure is unrolled but because the training procedure must be unrolled thousands of times the metaobjective must be defined with an ordersofmagnitude shorter time horizon than is typical for neural net training we show that such shorthorizon metaobjectives cause a serious bias towards small step sizes an effect we term shorthorizon bias we introduce a toy problem a noisy quadratic cost function on which we analyze shorthorizon bias by deriving and comparing the optimal schedules for short and long time horizons we then run metaoptimization experiments both offline and online on standard benchmark datasets showing that metaoptimization chooses too small a learning rate by multiple orders of magnitude even when run with a moderately long time horizon 100 steps typical of work in the area we believe shorthorizon bias is a fundamental problem that needs to be addressed if metaoptimization is to scale to practical neural net training regimes | [['careful', 'tuning', 'of', 'the', 'learning', 'rate', 'or', 'even', 'schedules', 'thereof', 'can', 'be', 'crucial', 'to', 'effective', 'neural', 'net', 'training', 'there', 'has', 'been', 'much', 'recent', 'interest', 'in', 'gradientbased', 'metaoptimization', 'where', 'one', 'tunes', 'hyperparameters', 'or', 'even', 'learns', 'an', 'optimizer', 'in', 'order', 'to', 'minimize', 'the', 'expected', 'loss', 'when', 'the', 'training', 'procedure', 'is', 'unrolled', 'but', 'because', 'the', 'training', 'procedure', 'must', 'be', 'unrolled', 'thousands', 'of', 'times', 'the', 'metaobjective', 'must', 'be', 'defined', 'with', 'an', 'ordersofmagnitude', 'shorter', 'time', 'horizon', 'than', 'is', 'typical', 'for', 'neural', 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1,803.02022 | Modular linear differential equations of fourth order and minimal
$\mathcal{W}$-algebras | A characterization of the minimal $\mathcal{W}$-algebras associated with the
Deligne exceptional series at level $-h^\vee/6$ is obtained by using
one-parameter family of modular linear differential equations of order $4$. In
particular, the characters of the Ramond-twisted modules of minimal
$\mathcal{W}$-algebras related to the Deligne exceptional series satisfy one of
these differential equations. In order to obtain the characterization, the
differential equations in the one parameter family which have solutions of "CFT
type" are classified, whose solutions are explicitly described.
| math.QA math.NT | a characterization of the minimal mathcalwalgebras associated with the deligne exceptional series at level hvee6 is obtained by using oneparameter family of modular linear differential equations of order 4 in particular the characters of the ramondtwisted modules of minimal mathcalwalgebras related to the deligne exceptional series satisfy one of these differential equations in order to obtain the characterization the differential equations in the one parameter family which have solutions of cft type are classified whose solutions are explicitly described | [['a', 'characterization', 'of', 'the', 'minimal', 'mathcalwalgebras', 'associated', 'with', 'the', 'deligne', 'exceptional', 'series', 'at', 'level', 'hvee6', 'is', 'obtained', 'by', 'using', 'oneparameter', 'family', 'of', 'modular', 'linear', 'differential', 'equations', 'of', 'order', '4', 'in', 'particular', 'the', 'characters', 'of', 'the', 'ramondtwisted', 'modules', 'of', 'minimal', 'mathcalwalgebras', 'related', 'to', 'the', 'deligne', 'exceptional', 'series', 'satisfy', 'one', 'of', 'these', 'differential', 'equations', 'in', 'order', 'to', 'obtain', 'the', 'characterization', 'the', 'differential', 'equations', 'in', 'the', 'one', 'parameter', 'family', 'which', 'have', 'solutions', 'of', 'cft', 'type', 'are', 'classified', 'whose', 'solutions', 'are', 'explicitly', 'described']] | [-0.16936798237311917, 0.03312430290549319, -0.04189470290946655, 0.03642684125299685, -0.08901304761186624, -0.12631812778253776, -0.060561755210913434, 0.2337726422642262, -0.3104053512812616, -0.2825492777598974, 0.14886107144262403, -0.2955349910264023, -0.13925849333501014, 0.21923004460628503, -0.07612489594910772, 0.07169170108122322, -0.0012117440167527932, 0.10932938844108811, -0.08945923004872523, -0.2988490861100264, 0.42325370071026, -0.050031675467601955, 0.21312978801478705, -0.07447572872759058, 0.1393455230117513, -0.03295395195406551, -0.03682267513030615, -0.031958433089013666, -0.167550932830916, 0.17483439704982373, 0.3173915242435984, 0.018386050425947476, 0.16929408472079116, -0.3930950560010014, -0.1340745221435403, 0.11100760204956317, 0.10975669483797482, 0.05372597385072508, 0.027264136534470778, -0.2591317414473265, 0.10321004366358885, -0.18613272334616154, -0.21289562542015353, -0.1076048654026519, -0.008222203916655136, 0.06475952637787813, -0.22937048348383263, 0.04867947755906826, 0.06268515104714495, 0.11235487702278754, -0.0924430761534052, -0.08512102325972265, -0.06908090600075248, 0.06408284711412704, 0.019829155065310307, -0.05082515992921216, 0.017516746388700526, -0.13733887043781579, -0.13580686953709795, 0.3288661609090363, -0.07129901146384864, -0.24209811550994906, 0.11454391068755052, -0.18704723682738125, -0.17223802421134538, 0.17251760547216505, 0.10279800777490704, 0.15542031392359582, -0.13652944839440095, 0.15760947461846322, -0.05850975668559281, 0.05347164925665428, 0.12517975898793873, 0.024811597779775277, 0.12653964603892887, 0.0808225152745413, 0.017680250308237586, 0.12112326921226504, 0.04685334016446573, -0.09535251235744606, -0.38050073518967015, -0.16143797343978897, -0.06678333657925041, 0.08698228128158893, -0.10070662907897852, -0.1918427605086412, 0.45361405711334485, 0.03821250564681414, 0.1870353190968625, 0.06323844770668074, 0.1204914797622806, 0.21023718652148277, 0.09914642917469908, -0.012350726830892457, 0.18191866699056938, 0.1832805963454004, 0.019068673682900574, -0.17763423562073746, 0.009460996925974121, 0.19802293680512753] |
1,803.02023 | Accumulate Then Transmit: Multi-user Scheduling in Full-Duplex
Wireless-Powered IoT Systems | This paper develops and evaluates an accumulate-then-transmit framework for
multi-user scheduling in a full-duplex (FD) wireless-powered Internet-of-Things
system, consisting of multiple energy harvesting (EH) IoT devices (IoDs) and
one FD hybrid access point (HAP). All IoDs have no embedded energy supply and
thus need to perform EH before transmitting their data to the HAP. Thanks to
its FD capability, the HAP can simultaneously receive data uplink and broadcast
energy-bearing signals downlink to charge IoDs. The instantaneous channel
information is assumed unavailable throughout this paper. To maximize the
system average throughput, we design a new throughput-oriented scheduling
scheme, in which a single IoD with the maximum weighted residual energy is
selected to transmit information to the HAP, while the other IoDs harvest and
accumulate energy from the signals broadcast by the HAP. However, similar to
most of the existing throughput-oriented schemes, the proposed
throughout-oriented scheme also leads to unfair inter-user throughput because
IoDs with better channel performance will be granted more transmission
opportunities. To strike a balance between the system throughput and user
fairness, we then propose a fairness-oriented scheduling scheme based on the
normalized accumulated energy. To evaluate the system performance, we model the
dynamic charging/discharging processes of each IoD as a finite-state Markov
Chain. Analytical expressions of the system outage probability and average
throughput are derived over Rician fading channels for both proposed schemes.
Simulation results validate the performance analysis and demonstrate the
performance superiority of both proposed schemes over the existing schemes.
| cs.IT math.IT | this paper develops and evaluates an accumulatethentransmit framework for multiuser scheduling in a fullduplex fd wirelesspowered internetofthings system consisting of multiple energy harvesting eh iot devices iods and one fd hybrid access point hap all iods have no embedded energy supply and thus need to perform eh before transmitting their data to the hap thanks to its fd capability the hap can simultaneously receive data uplink and broadcast energybearing signals downlink to charge iods the instantaneous channel information is assumed unavailable throughout this paper to maximize the system average throughput we design a new throughputoriented scheduling scheme in which a single iod with the maximum weighted residual energy is selected to transmit information to the hap while the other iods harvest and accumulate energy from the signals broadcast by the hap however similar to most of the existing throughputoriented schemes the proposed throughoutoriented scheme also leads to unfair interuser throughput because iods with better channel performance will be granted more transmission opportunities to strike a balance between the system throughput and user fairness we then propose a fairnessoriented scheduling scheme based on the normalized accumulated energy to evaluate the system performance we model the dynamic chargingdischarging processes of each iod as a finitestate markov chain analytical expressions of the system outage probability and average throughput are derived over rician fading channels for both proposed schemes simulation results validate the performance analysis and demonstrate the performance superiority of both proposed schemes over the existing schemes | [['this', 'paper', 'develops', 'and', 'evaluates', 'an', 'accumulatethentransmit', 'framework', 'for', 'multiuser', 'scheduling', 'in', 'a', 'fullduplex', 'fd', 'wirelesspowered', 'internetofthings', 'system', 'consisting', 'of', 'multiple', 'energy', 'harvesting', 'eh', 'iot', 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1,803.02024 | Using Survival Information in Truncation by Death Problems Without the
Monotonicity Assumption | In some randomized clinical trials, patients may die before the measurements
of their outcomes. Even though randomization generates comparable treatment and
control groups, the remaining survivors often differ significantly in
background variables that are prognostic to the outcomes. This is called the
truncation by death problem. Under the potential outcomes framework, the only
well-defined causal effect on the outcome is within the subgroup of patients
who would always survive under both treatment and control. Because the
definition of the subgroup depends on the potential values of the survival
status that could not be observed jointly, without making strong parametric
assumptions, we cannot identify the causal effect of interest and consequently
can only obtain bounds of it. Unfortunately, however, many bounds are too wide
to be useful. We propose to use detailed survival information before and after
the measurements of the outcomes to sharpen the bounds of the subgroup causal
effect. Because survival times contain useful information about the final
outcome, carefully utilizing them could improve statistical inference without
imposing strong parametric assumptions. Moreover, we propose to use a copula
model to relax the commonly-invoked but often doubtful monotonicity assumption
that the treatment extends the survival time for all patients.
| stat.AP stat.ME | in some randomized clinical trials patients may die before the measurements of their outcomes even though randomization generates comparable treatment and control groups the remaining survivors often differ significantly in background variables that are prognostic to the outcomes this is called the truncation by death problem under the potential outcomes framework the only welldefined causal effect on the outcome is within the subgroup of patients who would always survive under both treatment and control because the definition of the subgroup depends on the potential values of the survival status that could not be observed jointly without making strong parametric assumptions we cannot identify the causal effect of interest and consequently can only obtain bounds of it unfortunately however many bounds are too wide to be useful we propose to use detailed survival information before and after the measurements of the outcomes to sharpen the bounds of the subgroup causal effect because survival times contain useful information about the final outcome carefully utilizing them could improve statistical inference without imposing strong parametric assumptions moreover we propose to use a copula model to relax the commonlyinvoked but often doubtful monotonicity assumption that the treatment extends the survival time for all patients | [['in', 'some', 'randomized', 'clinical', 'trials', 'patients', 'may', 'die', 'before', 'the', 'measurements', 'of', 'their', 'outcomes', 'even', 'though', 'randomization', 'generates', 'comparable', 'treatment', 'and', 'control', 'groups', 'the', 'remaining', 'survivors', 'often', 'differ', 'significantly', 'in', 'background', 'variables', 'that', 'are', 'prognostic', 'to', 'the', 'outcomes', 'this', 'is', 'called', 'the', 'truncation', 'by', 'death', 'problem', 'under', 'the', 'potential', 'outcomes', 'framework', 'the', 'only', 'welldefined', 'causal', 'effect', 'on', 'the', 'outcome', 'is', 'within', 'the', 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1,803.02025 | Excitation mechanism of OI lines in Herbig Ae/Be stars | We have investigated the role of a few prominent excitation mechanisms viz.
collisional excitation, recombination, continuum fluorescence and Lyman beta
fluorescence on the OI line spectra in Herbig Ae/Be stars. The aim is to
understand which of them is the central mechanism that explains the observed OI
line strengths. The study is based on an analysis of the observed optical
spectra of 62 Herbig Ae/Be stars and near-infrared spectra of 17 Herbig Ae/Be
stars. The strong correlation observed between the line fluxes of OI
$\lambda$8446 and OI $\lambda$11287, as well as a high positive correlation
between the line strengths of OI $\lambda$8446 and H$\alpha$ suggest that Lyman
beta fluorescence is the dominant excitation mechanism for the formation of OI
emission lines in Herbig Ae/Be stars. Further, from an analysis of the emission
line fluxes of OI $\lambda\lambda$7774, 8446, and comparing the line ratios
with those predicted by theoretical models, we assessed the contribution of
collisional excitation in the formation of OI emission lines.
| astro-ph.SR | we have investigated the role of a few prominent excitation mechanisms viz collisional excitation recombination continuum fluorescence and lyman beta fluorescence on the oi line spectra in herbig aebe stars the aim is to understand which of them is the central mechanism that explains the observed oi line strengths the study is based on an analysis of the observed optical spectra of 62 herbig aebe stars and nearinfrared spectra of 17 herbig aebe stars the strong correlation observed between the line fluxes of oi lambda8446 and oi lambda11287 as well as a high positive correlation between the line strengths of oi lambda8446 and halpha suggest that lyman beta fluorescence is the dominant excitation mechanism for the formation of oi emission lines in herbig aebe stars further from an analysis of the emission line fluxes of oi lambdalambda7774 8446 and comparing the line ratios with those predicted by theoretical models we assessed the contribution of collisional excitation in the formation of oi emission lines | [['we', 'have', 'investigated', 'the', 'role', 'of', 'a', 'few', 'prominent', 'excitation', 'mechanisms', 'viz', 'collisional', 'excitation', 'recombination', 'continuum', 'fluorescence', 'and', 'lyman', 'beta', 'fluorescence', 'on', 'the', 'oi', 'line', 'spectra', 'in', 'herbig', 'aebe', 'stars', 'the', 'aim', 'is', 'to', 'understand', 'which', 'of', 'them', 'is', 'the', 'central', 'mechanism', 'that', 'explains', 'the', 'observed', 'oi', 'line', 'strengths', 'the', 'study', 'is', 'based', 'on', 'an', 'analysis', 'of', 'the', 'observed', 'optical', 'spectra', 'of', '62', 'herbig', 'aebe', 'stars', 'and', 'nearinfrared', 'spectra', 'of', '17', 'herbig', 'aebe', 'stars', 'the', 'strong', 'correlation', 'observed', 'between', 'the', 'line', 'fluxes', 'of', 'oi', 'lambda8446', 'and', 'oi', 'lambda11287', 'as', 'well', 'as', 'a', 'high', 'positive', 'correlation', 'between', 'the', 'line', 'strengths', 'of', 'oi', 'lambda8446', 'and', 'halpha', 'suggest', 'that', 'lyman', 'beta', 'fluorescence', 'is', 'the', 'dominant', 'excitation', 'mechanism', 'for', 'the', 'formation', 'of', 'oi', 'emission', 'lines', 'in', 'herbig', 'aebe', 'stars', 'further', 'from', 'an', 'analysis', 'of', 'the', 'emission', 'line', 'fluxes', 'of', 'oi', 'lambdalambda7774', '8446', 'and', 'comparing', 'the', 'line', 'ratios', 'with', 'those', 'predicted', 'by', 'theoretical', 'models', 'we', 'assessed', 'the', 'contribution', 'of', 'collisional', 'excitation', 'in', 'the', 'formation', 'of', 'oi', 'emission', 'lines']] | [-0.0038881995592277892, 0.060868285930612824, 0.062498317962014896, 0.10197885604343893, -0.03257008145060043, -0.09857163392585812, 0.039220849458440586, 0.5119479717628926, -0.12020335648417102, -0.2960375463271872, -0.03776499228653214, -0.3159063032463841, 0.008524197361993124, 0.12211721390485764, 0.04545841459763346, -0.03849994519621319, 0.030475540913826562, -0.1585847727190819, 0.06048121994291866, -0.15713957033513448, 0.3249275561607217, 0.10857550247994639, 0.16326365009042787, 0.08585539159382352, -0.042410753589262315, -0.15309115937731652, -0.08390320772131593, -0.07938885494418767, -0.152199940319677, 0.07186779505370752, 0.2344373473741437, 0.12682628306785818, 0.1924801759815179, -0.31060401795096465, -0.20652085485881172, 0.0486068155136399, 0.22099811344852913, -0.006153676702976459, -8.021450242872193e-05, -0.3005730750571404, 0.01942166246246743, -0.06561187487558363, -0.1119180166810427, 0.06235105625891722, 0.08052122822864363, 0.06678015441975053, -0.2521832675806114, 0.05940834838052436, 0.05579312796912717, 0.20489879471093694, -0.14468371705875172, -0.12176950155578045, -0.14677413237882744, 0.049757882533305736, 0.03565495081754945, -0.0007966134042091529, 0.21545726910916083, -0.13767579925009368, -0.11414563840310095, 0.4086017427468522, -0.19977500437764648, 0.06644475992200664, 0.24315793316099815, -0.21598860811187615, -0.19134093707091876, 0.26303548135603805, 0.06472417158045754, 0.22351178245023123, -0.10829174730302014, -0.022726638537979113, -0.04486522192615576, 0.22602769392050848, 0.020603388646235746, 0.11742926688043412, 0.3151895390210315, 0.05227208644244241, -0.057471519421427426, 0.12384540859901966, -0.32062217889527894, -0.06473439846546476, -0.23718390618422017, -0.15641134715876223, -0.10998363798680882, 0.11439664880687267, -0.08234513233954836, -0.11917229592279525, 0.3651255565371526, 0.12138546833617364, 0.2585070311866978, -0.019399380401754464, 0.30460824838822115, 0.17485806479383412, 0.10299149196398277, 0.05281673603754791, 0.3263980762581833, 0.24497308154729258, 0.14088554682082827, -0.3308905685560558, 0.09008952217778156, 0.016332913140595675] |
1,803.02026 | Spectral Analysis of GFDM Modulated Signal under Nonlinear Behavior of
Power Amplifier | General frequency division multiplexing (GFDM) is a flexible non-orthogonal
waveform candidate for 5G which can offer some advantages such as low
out-of-band (OOB) emission and high spectral efficiency. In this paper, the
effects of nonlinear behavior of practical PAs on GFDM signal are studied. In
the first step, a closed form expression for power spectral density (PSD) of
GFDM signal is extracted. Then, the PSD at the output of PA as a function of
input power and the coefficients of nonlinear polynomial PA model is derived.
In addition, the adjacent channel power (ACP) and ACP ratio, as two important
performance metrics, are evaluated. The simulation results confirm the accuracy
of derived analytical expressions. Moreover, to validate the performance of
GFDM modulation after nonlinear PA, it is compared with OFDM modulation.
| eess.SP | general frequency division multiplexing gfdm is a flexible nonorthogonal waveform candidate for 5g which can offer some advantages such as low outofband oob emission and high spectral efficiency in this paper the effects of nonlinear behavior of practical pas on gfdm signal are studied in the first step a closed form expression for power spectral density psd of gfdm signal is extracted then the psd at the output of pa as a function of input power and the coefficients of nonlinear polynomial pa model is derived in addition the adjacent channel power acp and acp ratio as two important performance metrics are evaluated the simulation results confirm the accuracy of derived analytical expressions moreover to validate the performance of gfdm modulation after nonlinear pa it is compared with ofdm modulation | [['general', 'frequency', 'division', 'multiplexing', 'gfdm', 'is', 'a', 'flexible', 'nonorthogonal', 'waveform', 'candidate', 'for', '5g', 'which', 'can', 'offer', 'some', 'advantages', 'such', 'as', 'low', 'outofband', 'oob', 'emission', 'and', 'high', 'spectral', 'efficiency', 'in', 'this', 'paper', 'the', 'effects', 'of', 'nonlinear', 'behavior', 'of', 'practical', 'pas', 'on', 'gfdm', 'signal', 'are', 'studied', 'in', 'the', 'first', 'step', 'a', 'closed', 'form', 'expression', 'for', 'power', 'spectral', 'density', 'psd', 'of', 'gfdm', 'signal', 'is', 'extracted', 'then', 'the', 'psd', 'at', 'the', 'output', 'of', 'pa', 'as', 'a', 'function', 'of', 'input', 'power', 'and', 'the', 'coefficients', 'of', 'nonlinear', 'polynomial', 'pa', 'model', 'is', 'derived', 'in', 'addition', 'the', 'adjacent', 'channel', 'power', 'acp', 'and', 'acp', 'ratio', 'as', 'two', 'important', 'performance', 'metrics', 'are', 'evaluated', 'the', 'simulation', 'results', 'confirm', 'the', 'accuracy', 'of', 'derived', 'analytical', 'expressions', 'moreover', 'to', 'validate', 'the', 'performance', 'of', 'gfdm', 'modulation', 'after', 'nonlinear', 'pa', 'it', 'is', 'compared', 'with', 'ofdm', 'modulation']] | [-0.1615565952200156, 0.0032111224790032093, -0.05608555862250236, 0.027904723768229955, -0.06435387580691335, -0.18175476506137503, 0.0007187115610577166, 0.4027293521624345, -0.24958033787373166, -0.2312607820969648, 0.09457158081394691, -0.21709541497895352, -0.19569843482190313, 0.21300616776391576, -0.0589420724982539, 0.09288827607927558, 0.00815585081358082, 0.01573595628858759, -0.06801142925754762, -0.1830365205470186, 0.21695430899182191, 0.1400344742032198, 0.3490620123795592, 0.02668095453678129, 0.11391289588422156, -0.013967781710939911, -0.043435524124652146, -0.055484095867723224, -0.07193793624352951, 0.06790287320215542, 0.35626821480691434, 0.1687603996314395, 0.21454946532344016, -0.34875279885645094, -0.2396967186449239, 0.06451920815385305, 0.16469316468395007, 0.03306135029012624, -0.05948955741657231, -0.21181357657680144, 0.15082942965225532, -0.2536055000570531, -0.05172656521630975, -0.022891017300291704, -0.004221528209745884, 0.08786704702696835, -0.3525998401464536, 0.09084972437972633, 0.06570565917511256, 0.048321998914560446, -0.02638186699209305, -0.16366480975680484, 0.018122773180500817, 0.09919568906323267, -0.0006328414650992132, -0.03811372869397299, 0.10276998074080508, -0.08399596288397264, -0.10670971652277961, 0.382033945276187, -0.07773836804195665, -0.24047199432523206, 0.11348467245742751, -0.13210932816056392, -0.06929293535112475, 0.1749289825701943, 0.22668609192165046, 0.041484032544114875, -0.14169882240776832, 0.03637513039844075, 0.0363311069793641, 0.21117791522007723, 0.13780073491999736, 0.13212743836249083, 0.16804689465162273, 0.14714212977112487, 0.0304755344055593, 0.14814441504601675, -0.12965170319993585, -0.049626284453552216, -0.2528400117316498, -0.10814745192093632, -0.1966583803215494, 0.010695496762547498, -0.12940960688697836, -0.08724497154784891, 0.45366252455502176, 0.09156649436873313, 0.13794935810594605, 0.10262465186220092, 0.4147311714119636, 0.2136101137784023, 0.008535888834068408, 0.015635437068815986, 0.2365168909087795, 0.1591561850679752, 0.09780647176174591, -0.2432724445914993, 0.04324892639504889, -0.010600955904318162] |
1,803.02027 | DNA Base Pair Mismatches Induce Structural Changes and Alter the Free
Energy Landscape of Base Flip | Double-stranded DNA may contain mismatched base pairs beyond the Watson-Crick
pairs guanine-cytosine and adenine-thymine. Such mismatches bear adverse
consequences for human health. We utilize molecular dynamics and metadynamics
computer simulations to study the equilibrium structure and dynamics for both
matched and mismatched base pairs. We discover significant differences between
matched and mismatched pairs in structure, hydrogen bonding, and base flip work
profiles. Mismatched pairs shift further in the plane normal to the DNA strand
and are more likely to exhibit non-canonical structures, including the e-motif.
We discuss potential implications on mismatch repair enzymes' detection of DNA
mismatches.
| physics.bio-ph q-bio.BM | doublestranded dna may contain mismatched base pairs beyond the watsoncrick pairs guaninecytosine and adeninethymine such mismatches bear adverse consequences for human health we utilize molecular dynamics and metadynamics computer simulations to study the equilibrium structure and dynamics for both matched and mismatched base pairs we discover significant differences between matched and mismatched pairs in structure hydrogen bonding and base flip work profiles mismatched pairs shift further in the plane normal to the dna strand and are more likely to exhibit noncanonical structures including the emotif we discuss potential implications on mismatch repair enzymes detection of dna mismatches | [['doublestranded', 'dna', 'may', 'contain', 'mismatched', 'base', 'pairs', 'beyond', 'the', 'watsoncrick', 'pairs', 'guaninecytosine', 'and', 'adeninethymine', 'such', 'mismatches', 'bear', 'adverse', 'consequences', 'for', 'human', 'health', 'we', 'utilize', 'molecular', 'dynamics', 'and', 'metadynamics', 'computer', 'simulations', 'to', 'study', 'the', 'equilibrium', 'structure', 'and', 'dynamics', 'for', 'both', 'matched', 'and', 'mismatched', 'base', 'pairs', 'we', 'discover', 'significant', 'differences', 'between', 'matched', 'and', 'mismatched', 'pairs', 'in', 'structure', 'hydrogen', 'bonding', 'and', 'base', 'flip', 'work', 'profiles', 'mismatched', 'pairs', 'shift', 'further', 'in', 'the', 'plane', 'normal', 'to', 'the', 'dna', 'strand', 'and', 'are', 'more', 'likely', 'to', 'exhibit', 'noncanonical', 'structures', 'including', 'the', 'emotif', 'we', 'discuss', 'potential', 'implications', 'on', 'mismatch', 'repair', 'enzymes', 'detection', 'of', 'dna', 'mismatches']] | [-0.16870132877738797, 0.10349523930926807, -0.0017887998837977648, 0.1440682347965776, -0.07147750060539693, -0.15601713558013822, 0.11983418990469848, 0.42896907186756533, -0.2945947674355314, -0.28480498417047784, -0.023808310201881493, -0.3092518497972681, -0.2088138191126442, 0.12682543996682702, -0.050889198115934654, -0.015660528986093897, 0.12325425453794499, 0.009548021713271737, -0.04704600816573171, -0.18715180334796364, 0.2580083198166297, 0.08220060973932657, 0.33565860501645756, 0.029417159292885724, 0.01922094824355251, 0.01192493387467645, 0.00324558525608154, -0.031126184893461566, -0.16434523798428322, 0.13219615018654926, 0.26795706688426435, 0.06481024756309732, 0.1977666308375774, -0.46394558328514296, -0.2207053994789021, 0.11457380250794813, 0.12095474694797304, 0.186486390021552, -0.06591009710443056, -0.2389729109709151, 0.10657752864062786, -0.1559394330603633, -0.034563315741252154, -0.04366667526725602, -0.014175928988455174, 0.09894808818110808, -0.22212275921507776, 0.07391559213283472, 0.025207579147415043, 0.10912280544289388, -0.015256057333317585, -0.13496028115817657, -0.0920655808004085, 0.1933731796076851, 0.0274987210038186, -0.026145442954051152, 0.21510707869098647, -0.10084228813260172, -0.11705019204237033, 0.3805394621473776, -0.013301336441751724, -0.21143937094166176, 0.26538738252808497, -0.10630719572509406, -0.13324113593262155, 0.1358367117548672, 0.1700850443545884, 0.043844337381112077, -0.12307891048961513, -0.0048620356483297655, 0.05051038468567034, 0.19445999908202793, 0.20072271624909868, 0.03702693795397257, 0.26357571380989003, 0.1394431854132563, -0.007176478349720128, 0.16184712747538774, -0.11911913620375951, -0.1515875450471261, -0.216966528717118, -0.1314466755526761, -0.10168449039944487, 0.005030201258099017, -0.016039486573845352, -0.17489274009130895, 0.3205815921537578, 0.09063164039131759, 0.20589918747282354, -0.006410491662488009, 0.236793904742323, -0.05974094843259081, 0.08330889424541965, 0.002653368729321907, 0.153433559651603, 0.10803807514215198, 0.014904871345303642, -0.28238640147416544, 0.08314539260269764, -0.027992751687027823] |
1,803.02028 | Heavy-element yields and abundances of Asymptotic Giant Branch models
with a Small Magellanic Cloud metallicity | We present new theoretical stellar yields and surface abundances for
asymptotic giant branch (AGB) models with a metallicity appropriate for stars
in the Small Magellanic Cloud (SMC, $Z= 0.0028$, [Fe/H] $\approx -0.7$). New
evolutionary sequences and post-processing nucleosynthesis results are
presented for initial masses between 1$M_{\odot}$ and 7$M_{\odot}$, where the
7$M_{\odot}$ is a super-AGB star with an O-Ne core. Models above
1.15$M_{\odot}$ become carbon rich during the AGB, and hot bottom burning
begins in models $M \ge 3.75 M_{\odot}$. We present stellar surface abundances
as a function of thermal pulse number for elements between C to Bi and for a
selection of isotopic ratios for elements up to Fe and Ni (e.g.,
$^{12}$C/$^{13}$C), which can be compared to observations. The integrated
stellar yields are presented for each model in the grid for hydrogen, helium
and all stable elements from C to Bi. We present evolutionary sequences of
intermediate-mass models between 4--7$M_{\odot}$ and nucleosynthesis results
for three masses ($M=3.75, 5, 7M_{\odot}$) including $s$-process elements for
two widely used AGB mass-loss prescriptions. We discuss our new models in the
context of evolved AGB stars and post-AGB stars in the Small Magellanic Clouds,
barium stars in our Galaxy, the composition of Galactic globular clusters
including Mg isotopes with a similar metallicity to our models, and to
pre-solar grains which may have an origin in metal-poor AGB stars.
| astro-ph.SR | we present new theoretical stellar yields and surface abundances for asymptotic giant branch agb models with a metallicity appropriate for stars in the small magellanic cloud smc z 00028 feh approx 07 new evolutionary sequences and postprocessing nucleosynthesis results are presented for initial masses between 1m_odot and 7m_odot where the 7m_odot is a superagb star with an one core models above 115m_odot become carbon rich during the agb and hot bottom burning begins in models m ge 375 m_odot we present stellar surface abundances as a function of thermal pulse number for elements between c to bi and for a selection of isotopic ratios for elements up to fe and ni eg 12c13c which can be compared to observations the integrated stellar yields are presented for each model in the grid for hydrogen helium and all stable elements from c to bi we present evolutionary sequences of intermediatemass models between 47m_odot and nucleosynthesis results for three masses m375 5 7m_odot including sprocess elements for two widely used agb massloss prescriptions we discuss our new models in the context of evolved agb stars and postagb stars in the small magellanic clouds barium stars in our galaxy the composition of galactic globular clusters including mg isotopes with a similar metallicity to our models and to presolar grains which may have an origin in metalpoor agb stars | [['we', 'present', 'new', 'theoretical', 'stellar', 'yields', 'and', 'surface', 'abundances', 'for', 'asymptotic', 'giant', 'branch', 'agb', 'models', 'with', 'a', 'metallicity', 'appropriate', 'for', 'stars', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'z', '00028', 'feh', 'approx', '07', 'new', 'evolutionary', 'sequences', 'and', 'postprocessing', 'nucleosynthesis', 'results', 'are', 'presented', 'for', 'initial', 'masses', 'between', '1m_odot', 'and', '7m_odot', 'where', 'the', '7m_odot', 'is', 'a', 'superagb', 'star', 'with', 'an', 'one', 'core', 'models', 'above', '115m_odot', 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1,803.02029 | Enhanced Superconducting Transition Temperature in Electroplated Rhenium | We show that electroplated Re films in multilayers with noble metals such as
Cu, Au, and Pd have an enhanced superconducting critical temperature relative
to previous methods of preparing Re. The dc resistance and magnetic
susceptibility indicate a critical temperature of approximately 6 K. Magnetic
response as a function of field at 1.8 K demonstrates type-II
superconductivity, with an upper critical field on the order of 2.5 T. Critical
current densities greater than 10^7 A/m^2 were measured above liquid-helium
temperature. Low-loss at radio frequency was obtained below the critical
temperature for multilayers deposited onto resonators made with Cu traces on
commercial circuit boards. These electroplated superconducting films can be
integrated into a wide range of standard components for low-temperature
electronics.
| cond-mat.supr-con | we show that electroplated re films in multilayers with noble metals such as cu au and pd have an enhanced superconducting critical temperature relative to previous methods of preparing re the dc resistance and magnetic susceptibility indicate a critical temperature of approximately 6 k magnetic response as a function of field at 18 k demonstrates typeii superconductivity with an upper critical field on the order of 25 t critical current densities greater than 107 am2 were measured above liquidhelium temperature lowloss at radio frequency was obtained below the critical temperature for multilayers deposited onto resonators made with cu traces on commercial circuit boards these electroplated superconducting films can be integrated into a wide range of standard components for lowtemperature electronics | [['we', 'show', 'that', 'electroplated', 're', 'films', 'in', 'multilayers', 'with', 'noble', 'metals', 'such', 'as', 'cu', 'au', 'and', 'pd', 'have', 'an', 'enhanced', 'superconducting', 'critical', 'temperature', 'relative', 'to', 'previous', 'methods', 'of', 'preparing', 're', 'the', 'dc', 'resistance', 'and', 'magnetic', 'susceptibility', 'indicate', 'a', 'critical', 'temperature', 'of', 'approximately', '6', 'k', 'magnetic', 'response', 'as', 'a', 'function', 'of', 'field', 'at', '18', 'k', 'demonstrates', 'typeii', 'superconductivity', 'with', 'an', 'upper', 'critical', 'field', 'on', 'the', 'order', 'of', '25', 't', 'critical', 'current', 'densities', 'greater', 'than', '107', 'am2', 'were', 'measured', 'above', 'liquidhelium', 'temperature', 'lowloss', 'at', 'radio', 'frequency', 'was', 'obtained', 'below', 'the', 'critical', 'temperature', 'for', 'multilayers', 'deposited', 'onto', 'resonators', 'made', 'with', 'cu', 'traces', 'on', 'commercial', 'circuit', 'boards', 'these', 'electroplated', 'superconducting', 'films', 'can', 'be', 'integrated', 'into', 'a', 'wide', 'range', 'of', 'standard', 'components', 'for', 'lowtemperature', 'electronics']] | [-0.14240123156196205, 0.21972215313022994, 0.051367949853496006, -0.07482475148669133, 0.025942760185959438, -0.16539913411640253, 0.09343281893137222, 0.42307464509115866, -0.1815828373345236, -0.36421171681334574, 0.031373822381525925, -0.36092528867690515, -0.012409891568434734, 0.28897910021866363, 0.05756854909510973, 0.05383696646119158, -0.10908349227004994, -0.0276954935475563, -0.13539917723392136, -0.22786944901260237, 0.2324457459500991, 0.044574920285958795, 0.3408863816293888, 0.10250529801317801, 0.030898882584491125, -0.07550535508198664, 0.15765119324981544, 0.04405755711874614, -0.15660466072373916, -0.0026965644326992335, 0.29260184480808676, -0.07610961011766146, 0.18717373752345642, -0.44702258858208854, -0.2144177244200061, 0.0008425252744928002, 0.11946346245822496, 0.03810997313509385, -0.04204834402577641, -0.2191788633664449, 0.1316204143455252, -0.11960217335727066, -0.10214946867975717, -0.031216827865379552, 0.01314021366997622, 0.007282683594773213, -0.25574132474915434, 0.05434382453095168, 0.03578983102761413, 0.18251441768346316, -0.0740932648574623, -0.23078413737433343, -0.06107413639547303, -0.002555113231452803, -0.019892972812522204, 0.10101421525275024, 0.26947008072165773, -0.09019853717569883, -0.061618071897343425, 0.2561987876581649, -0.07573141834739848, 0.01186945781422158, 0.18242331933385383, -0.21314575882861392, -0.008275826349078367, 0.18173738591140137, 0.14582076199197522, 0.07771202774407963, -0.13969422829007574, 0.035987968997991025, 0.046930810673317565, 0.24710947973653674, 0.09539451311187198, 0.025458227760585334, 0.26050970319192857, 0.2265891399399455, 0.03594017457938511, 0.12770475987927057, -0.11792700696969405, 0.05933167536277324, -0.19664077170503635, -0.19196994894494612, -0.18210159173468127, 0.11144868494205487, -0.12788252436342493, -0.18113365188473834, 0.33760297286789864, 0.17726253755002594, 0.18230413338169454, -0.04116654519069319, 0.2458361895599713, 0.1225484793035624, 0.1261787915835157, 0.04917000927962363, 0.24306087471389523, 0.19962214605184272, 0.18690098803150856, -0.2142338375095278, 0.05258552813708472, -0.03735094713823249] |
1,803.0203 | Exact partial information decompositions for Gaussian systems based on
dependency constraints | The Partial Information Decomposition (PID) [arXiv:1004.2515] provides a
theoretical framework to characterize and quantify the structure of
multivariate information sharing. A new method (Idep) has recently been
proposed for computing a two-predictor PID over discrete spaces.
[arXiv:1709.06653] A lattice of maximum entropy probability models is
constructed based on marginal dependency constraints, and the unique
information that a particular predictor has about the target is defined as the
minimum increase in joint predictor-target mutual information when that
particular predictor-target marginal dependency is constrained. Here, we apply
the Idep approach to Gaussian systems, for which the marginally constrained
maximum entropy models are Gaussian graphical models. Closed form solutions for
the Idep PID are derived for both univariate and multivariate Gaussian systems.
Numerical and graphical illustrations are provided, together with practical and
theoretical comparisons of the Idep PID with the minimum mutual information PID
(Immi). [arXiv:1411.2832] In particular, it is proved that the Immi method
generally produces larger estimates of redundancy and synergy than does the
Idep method. In discussion of the practical examples, the PIDs are complemented
by the use of deviance tests for the comparison of Gaussian graphical models.
| cond-mat.stat-mech cs.IT math.IT physics.data-an q-bio.QM stat.ML | the partial information decomposition pid arxiv10042515 provides a theoretical framework to characterize and quantify the structure of multivariate information sharing a new method idep has recently been proposed for computing a twopredictor pid over discrete spaces arxiv170906653 a lattice of maximum entropy probability models is constructed based on marginal dependency constraints and the unique information that a particular predictor has about the target is defined as the minimum increase in joint predictortarget mutual information when that particular predictortarget marginal dependency is constrained here we apply the idep approach to gaussian systems for which the marginally constrained maximum entropy models are gaussian graphical models closed form solutions for the idep pid are derived for both univariate and multivariate gaussian systems numerical and graphical illustrations are provided together with practical and theoretical comparisons of the idep pid with the minimum mutual information pid immi arxiv14112832 in particular it is proved that the immi method generally produces larger estimates of redundancy and synergy than does the idep method in discussion of the practical examples the pids are complemented by the use of deviance tests for the comparison of gaussian graphical models | [['the', 'partial', 'information', 'decomposition', 'pid', 'arxiv10042515', 'provides', 'a', 'theoretical', 'framework', 'to', 'characterize', 'and', 'quantify', 'the', 'structure', 'of', 'multivariate', 'information', 'sharing', 'a', 'new', 'method', 'idep', 'has', 'recently', 'been', 'proposed', 'for', 'computing', 'a', 'twopredictor', 'pid', 'over', 'discrete', 'spaces', 'arxiv170906653', 'a', 'lattice', 'of', 'maximum', 'entropy', 'probability', 'models', 'is', 'constructed', 'based', 'on', 'marginal', 'dependency', 'constraints', 'and', 'the', 'unique', 'information', 'that', 'a', 'particular', 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1,803.02031 | Pressure strain correlation modeling for turbulent flows | Almost all investigations of turbulent flows in academia and in the industry
utilize some degree of turbulence modeling. Of the available approaches to
turbulence modeling Reynolds Stress Models have the highest potential to
replicate complex flow phenomena. Due to its complexity and its importance in
flow evolution modeling of the pressure strain correlation mechanism is
generally regarded as the key challenge for Reynolds Stress Models. In the
present work, the modeling of the pressure strain correlation for complex
turbulent flows is reviewed. Starting from the governing equations we outline
the theory behind models for both the slow and rapid pressure strain
correlation. Established models for both these are introduced and their
successes and shortcomings are illustrated using simulations and comparisons to
experimental and numerical studies. Recent advances and developments in this
context are presented. Finally, challenges and hurdles for pressure strain
correlation modeling are outlined and explained in detail to guide future
investigations.
| physics.flu-dyn | almost all investigations of turbulent flows in academia and in the industry utilize some degree of turbulence modeling of the available approaches to turbulence modeling reynolds stress models have the highest potential to replicate complex flow phenomena due to its complexity and its importance in flow evolution modeling of the pressure strain correlation mechanism is generally regarded as the key challenge for reynolds stress models in the present work the modeling of the pressure strain correlation for complex turbulent flows is reviewed starting from the governing equations we outline the theory behind models for both the slow and rapid pressure strain correlation established models for both these are introduced and their successes and shortcomings are illustrated using simulations and comparisons to experimental and numerical studies recent advances and developments in this context are presented finally challenges and hurdles for pressure strain correlation modeling are outlined and explained in detail to guide future investigations | [['almost', 'all', 'investigations', 'of', 'turbulent', 'flows', 'in', 'academia', 'and', 'in', 'the', 'industry', 'utilize', 'some', 'degree', 'of', 'turbulence', 'modeling', 'of', 'the', 'available', 'approaches', 'to', 'turbulence', 'modeling', 'reynolds', 'stress', 'models', 'have', 'the', 'highest', 'potential', 'to', 'replicate', 'complex', 'flow', 'phenomena', 'due', 'to', 'its', 'complexity', 'and', 'its', 'importance', 'in', 'flow', 'evolution', 'modeling', 'of', 'the', 'pressure', 'strain', 'correlation', 'mechanism', 'is', 'generally', 'regarded', 'as', 'the', 'key', 'challenge', 'for', 'reynolds', 'stress', 'models', 'in', 'the', 'present', 'work', 'the', 'modeling', 'of', 'the', 'pressure', 'strain', 'correlation', 'for', 'complex', 'turbulent', 'flows', 'is', 'reviewed', 'starting', 'from', 'the', 'governing', 'equations', 'we', 'outline', 'the', 'theory', 'behind', 'models', 'for', 'both', 'the', 'slow', 'and', 'rapid', 'pressure', 'strain', 'correlation', 'established', 'models', 'for', 'both', 'these', 'are', 'introduced', 'and', 'their', 'successes', 'and', 'shortcomings', 'are', 'illustrated', 'using', 'simulations', 'and', 'comparisons', 'to', 'experimental', 'and', 'numerical', 'studies', 'recent', 'advances', 'and', 'developments', 'in', 'this', 'context', 'are', 'presented', 'finally', 'challenges', 'and', 'hurdles', 'for', 'pressure', 'strain', 'correlation', 'modeling', 'are', 'outlined', 'and', 'explained', 'in', 'detail', 'to', 'guide', 'future', 'investigations']] | [-0.11387462167638457, 0.11350358204514373, -0.06282670254167778, 0.062171737947257756, -0.03217902595445124, -0.08305277868350541, -0.04116591739276534, 0.3839203514937871, -0.2910799576560023, -0.2924112111628299, 0.11754126972488425, -0.26172359510525767, -0.17791790120741902, 0.23456665819961262, -0.025294476975473802, 0.10694335518614846, 0.05062516919014598, -0.07309380114029825, -0.0440627132676347, -0.21186206447191877, 0.2880670351852827, 0.10894491479068605, 0.32890074998079466, 0.09183729295481873, 0.056886861551236484, -0.0720374760327532, -0.10146305011889709, 0.052314119413495064, -0.17549915830555274, 0.1184945568397928, 0.2768628018588821, 0.09393117924105206, 0.29645718352905676, -0.48560728833651523, -0.31712162497094254, 0.013669422368086825, 0.11972917333013969, 0.10536478266266047, -0.0801963399840044, -0.22765334130697001, 0.05601765546952283, -0.1627748112090189, -0.12715280642185142, -0.1336968368089764, 0.04214622989012343, 0.0594642931059782, -0.23190363820298313, 0.12414156760582153, 0.03799622599644209, 0.11031003570293679, -0.0997087930533061, -0.12254262555335813, -0.03400237601725202, 0.14341432966818438, 0.13180737215203836, 0.020411340967185942, 0.1369446085224208, -0.20950590345698097, -0.09916420616179071, 0.40970460209216364, 0.0025122990581401762, -0.16880922155832154, 0.2327910823659253, -0.1127718264462268, -0.12954517683696026, 0.08356934071343858, 0.22669584016175637, 0.055983653897723924, -0.11982867880754806, 0.028615357130583302, 0.0530424397956166, 0.09102226032577211, 0.012296761313051569, -0.04058622905156679, 0.2175928820898525, 0.20691085349938837, -0.04260775299432377, 0.0698452544766874, -0.07306017971360217, -0.13079061579519238, -0.28381132930395453, -0.13063634649676947, -0.12914078923176633, -0.007630260134712349, -0.053061022081380416, -0.12083423955159055, 0.36460361884164266, 0.22735190751895407, 0.15245472714061442, 0.024092569432884844, 0.31168525435450467, 0.09671565421531281, 0.037688282907337826, 0.07188700320917407, 0.2669635513879958, 0.2120982864932492, 0.15910259632278062, -0.20050820002630595, 0.08862581851152594, 0.003190691977757595] |
1,803.02032 | John's Walk | We present an affine-invariant random walk for drawing uniform random samples
from a convex body $\mathcal{K} \subset \mathbb{R}^n$ that uses maximum volume
inscribed ellipsoids, known as John's ellipsoids, for the proposal
distribution. Our algorithm makes steps using uniform sampling from the John's
ellipsoid of the symmetrization of $\mathcal{K}$ at the current point. We show
that from a warm start, the random walk mixes in $\widetilde{O}(n^7)$ steps
where the log factors depend only on constants associated with the warm start
and desired total variation distance to uniformity. We also prove polynomial
mixing bounds starting from any fixed point $x$ such that for any chord $pq$ of
$\mathcal{K}$ containing $x$, $\left|\log \frac{|p-x|}{|q-x|}\right|$ is
bounded above by a polynomial in $n$.
| stat.ML cs.CG cs.DS stat.CO | we present an affineinvariant random walk for drawing uniform random samples from a convex body mathcalk subset mathbbrn that uses maximum volume inscribed ellipsoids known as johns ellipsoids for the proposal distribution our algorithm makes steps using uniform sampling from the johns ellipsoid of the symmetrization of mathcalk at the current point we show that from a warm start the random walk mixes in widetildeon7 steps where the log factors depend only on constants associated with the warm start and desired total variation distance to uniformity we also prove polynomial mixing bounds starting from any fixed point x such that for any chord pq of mathcalk containing x leftlog fracpxqxright is bounded above by a polynomial in n | [['we', 'present', 'an', 'affineinvariant', 'random', 'walk', 'for', 'drawing', 'uniform', 'random', 'samples', 'from', 'a', 'convex', 'body', 'mathcalk', 'subset', 'mathbbrn', 'that', 'uses', 'maximum', 'volume', 'inscribed', 'ellipsoids', 'known', 'as', 'johns', 'ellipsoids', 'for', 'the', 'proposal', 'distribution', 'our', 'algorithm', 'makes', 'steps', 'using', 'uniform', 'sampling', 'from', 'the', 'johns', 'ellipsoid', 'of', 'the', 'symmetrization', 'of', 'mathcalk', 'at', 'the', 'current', 'point', 'we', 'show', 'that', 'from', 'a', 'warm', 'start', 'the', 'random', 'walk', 'mixes', 'in', 'widetildeon7', 'steps', 'where', 'the', 'log', 'factors', 'depend', 'only', 'on', 'constants', 'associated', 'with', 'the', 'warm', 'start', 'and', 'desired', 'total', 'variation', 'distance', 'to', 'uniformity', 'we', 'also', 'prove', 'polynomial', 'mixing', 'bounds', 'starting', 'from', 'any', 'fixed', 'point', 'x', 'such', 'that', 'for', 'any', 'chord', 'pq', 'of', 'mathcalk', 'containing', 'x', 'leftlog', 'fracpxqxright', 'is', 'bounded', 'above', 'by', 'a', 'polynomial', 'in', 'n']] | [-0.10075747631971949, 0.1525565801111325, -0.07387559031184505, 0.002565115257688188, -0.06040597911362119, -0.1306301089814575, 0.09752765055223979, 0.3760439715958361, -0.2945515467415981, -0.228092896346613, 0.09536261953501801, -0.29878755626750403, -0.09754213822226779, 0.15611939678964173, -0.09919772035008746, 0.07452788069073496, 0.026316070688310367, 0.058636363587695466, -0.0845955199810901, -0.25505946523606265, 0.30487097120554796, -0.05679498730500325, 0.17970833573530526, -0.004540932886623617, 0.16119790845550597, 0.04716534895462622, 0.01719561653564973, 0.022604205565334393, -0.16431417477066007, 0.07881912365876909, 0.1811454964315936, 0.1561291173144629, 0.2462507280248121, -0.3866102784101305, -0.16072335301352472, 0.1581210730173866, 0.12512506313264724, 0.03529630878394277, -0.049706965089767595, -0.25198281262920974, 0.10174268090712099, -0.05535733755798368, -0.1652490311193858, -0.015820524868041533, 0.05594698438051574, 0.04859798770911734, -0.32733887034982184, 0.030445791529802653, 0.0978624343968414, 0.05820477105966159, 0.006949095569294074, -0.17262209306374707, 0.0048052135650229096, 0.0715031828651012, -0.017983012417218936, 0.12635192400294132, 0.15448279739437817, -0.055964406668047965, -0.0809334618810179, 0.37231970880309057, -0.08073613714780016, -0.21288724591883285, 0.11196064660405933, -0.17188455726939317, -0.176291203234698, 0.15406710375903238, 0.14931808214570427, 0.14813487942065595, -0.073205879307352, 0.1618403540598028, -0.1233908260192979, 0.1514903398512678, 0.1258695452265313, -0.03552221604783473, 0.14830092664262087, 0.08984056924839087, 0.1743428251346782, 0.1563558863377568, -0.07145368357455952, -0.08593356113174352, -0.37867443035517273, -0.1437428980214714, -0.2776903952311339, 0.09039538688475973, -0.20388900419556164, -0.17512281491031773, 0.3135378497797225, 0.09763029029046924, 0.2565504166153099, 0.14252714060471747, 0.2636585161089897, 0.04411371491030501, 0.002774476170026023, 0.14261313810230009, 0.12493621103529787, 0.0915420711991891, 0.0006957919987175485, -0.12246276496042466, 0.07958852129201566, 0.12227540219978907] |
1,803.02033 | Atomic Visualization of Copper Oxide Structure in Infinite-Layer Cuprate
SrCuO2 | We report on atomic-scale visualization of the structure of infinite-layer
cuprate SrCuO2 thin films grown on Nb-doped SrTiO3 substrates by molecular beam
epitaxy. In-situ scanning tunneling microscopy study reveals stoichiometric
copper oxide (CuO2) plane with a 2 x 2 surface reconstruction, prompted by
preferential clustering of four adjacent CuO2 plaquettes. By imaging the
subsurface Sr atoms, intra-unit-cell rotational symmetry breaking is observed,
which, together with the adjacent CuO2 clustering, can be well accounted for by
a periodic up-down buckling of oxygen ions on the CuO2 plane. Further
post-annealing leads to an incommensurate stripe structure of the surface
layer. Our findings provide important structural information for deeply
understanding the electronic structure of superconducting CuO2 plane as well as
high temperature superconductivity in cuprates.
| cond-mat.supr-con cond-mat.str-el | we report on atomicscale visualization of the structure of infinitelayer cuprate srcuo2 thin films grown on nbdoped srtio3 substrates by molecular beam epitaxy insitu scanning tunneling microscopy study reveals stoichiometric copper oxide cuo2 plane with a 2 x 2 surface reconstruction prompted by preferential clustering of four adjacent cuo2 plaquettes by imaging the subsurface sr atoms intraunitcell rotational symmetry breaking is observed which together with the adjacent cuo2 clustering can be well accounted for by a periodic updown buckling of oxygen ions on the cuo2 plane further postannealing leads to an incommensurate stripe structure of the surface layer our findings provide important structural information for deeply understanding the electronic structure of superconducting cuo2 plane as well as high temperature superconductivity in cuprates | [['we', 'report', 'on', 'atomicscale', 'visualization', 'of', 'the', 'structure', 'of', 'infinitelayer', 'cuprate', 'srcuo2', 'thin', 'films', 'grown', 'on', 'nbdoped', 'srtio3', 'substrates', 'by', 'molecular', 'beam', 'epitaxy', 'insitu', 'scanning', 'tunneling', 'microscopy', 'study', 'reveals', 'stoichiometric', 'copper', 'oxide', 'cuo2', 'plane', 'with', 'a', '2', 'x', '2', 'surface', 'reconstruction', 'prompted', 'by', 'preferential', 'clustering', 'of', 'four', 'adjacent', 'cuo2', 'plaquettes', 'by', 'imaging', 'the', 'subsurface', 'sr', 'atoms', 'intraunitcell', 'rotational', 'symmetry', 'breaking', 'is', 'observed', 'which', 'together', 'with', 'the', 'adjacent', 'cuo2', 'clustering', 'can', 'be', 'well', 'accounted', 'for', 'by', 'a', 'periodic', 'updown', 'buckling', 'of', 'oxygen', 'ions', 'on', 'the', 'cuo2', 'plane', 'further', 'postannealing', 'leads', 'to', 'an', 'incommensurate', 'stripe', 'structure', 'of', 'the', 'surface', 'layer', 'our', 'findings', 'provide', 'important', 'structural', 'information', 'for', 'deeply', 'understanding', 'the', 'electronic', 'structure', 'of', 'superconducting', 'cuo2', 'plane', 'as', 'well', 'as', 'high', 'temperature', 'superconductivity', 'in', 'cuprates']] | [-0.1972729041409053, 0.2151331189480948, 0.023390918695291536, -0.003927139134993624, -0.028219827496614613, -0.1444287764473406, 0.13286267400224938, 0.4452134701499685, -0.25863016752495627, -0.3028534366672889, -0.033569962233801175, -0.3468365580965688, -0.11484313788289419, 0.13736474134464993, 0.06582597443131638, 0.021575122644178202, -0.07921474348356733, -0.16796198031138895, -0.1321784050860366, -0.2224307426072077, 0.26382499054211694, 0.03066050788754078, 0.3889631759069982, 0.08904792091687072, 0.026615718091441105, 0.031329760814589436, 0.16087348766235604, -0.005539810359401659, -0.21707919774744966, 0.09792329028218252, 0.30431007598832127, -0.12363326530159283, 0.12620440183673054, -0.55703513745646, -0.28035683949004675, -0.13015663878015074, 0.19709598655491822, 0.13518418544487357, -0.13862680370220914, -0.2667523453653347, 0.03515712243550625, -0.044756972505787355, -0.10231365624540409, -0.08160003385178317, -0.08570216769413626, -0.0022264525163575213, -0.16651163545444791, 0.10047170592349816, 0.07925523613907824, 0.2077158963246668, -0.11532236385296603, -0.13076567541059778, -0.18904087458332602, -0.005583709401658691, 0.02789922062971736, 0.14722189188984483, 0.21448938018111818, -0.036358766734874884, -0.09578005339736577, 0.3515650288766769, 0.04552091428147415, -0.046186375172167525, 0.11455279663510498, -0.22009750288437868, -0.07529203674935385, 0.1872054780833423, 0.08301721795316076, 0.08474553542471201, -0.14029226491951047, 0.064291723835908, -0.04605056055378719, 0.27709199216400016, 0.14539783552563826, 0.050093802524211466, 0.27812517644669554, 0.27922251298412926, 0.0705601064770742, 0.13337049849682533, -0.1877346168573732, 0.033871079478260194, -0.1262502526620128, -0.19851552131662115, -0.19672585226935105, 0.053630198510440034, -0.10724880444992822, -0.22200884409706856, 0.35405776350850576, 0.08141304424689075, 0.21715397718667862, -0.2021944426395167, 0.2356737805062859, -0.03136085911337134, 0.08030275837804542, -0.05147528331574114, 0.1784841853373333, 0.19628504958179335, 0.09054195023436179, -0.27996892967933146, 0.15843044010326876, 0.06182168377444079] |
1,803.02034 | Effective multi-scale approach to the Schr\"odinger cocycle over a skew
shift base | We prove a conditional theorem on the positivity of the Lyapunov exponent for
a Schr\"odinger cocycle over a skew shift base with a cosine potential and the
golden ratio as frequency. For coupling below 1, which is the threshold for
Herman's subharmonicity trick, we formulate three conditions on the Lyapunov
exponent in a finite but large volume and on the associated large deviation
estimates at that scale. Our main results demonstrate that these finite-size
conditions imply the positivity of the infinite volume Lyapunov exponent. This
paper shows that it is possible to make the techniques developed for the study
of Schr\"odinger operators with deterministic potentials, based on large
deviation estimates and the avalanche principle, effective.
| math-ph math.AP math.DS math.MP | we prove a conditional theorem on the positivity of the lyapunov exponent for a schrodinger cocycle over a skew shift base with a cosine potential and the golden ratio as frequency for coupling below 1 which is the threshold for hermans subharmonicity trick we formulate three conditions on the lyapunov exponent in a finite but large volume and on the associated large deviation estimates at that scale our main results demonstrate that these finitesize conditions imply the positivity of the infinite volume lyapunov exponent this paper shows that it is possible to make the techniques developed for the study of schrodinger operators with deterministic potentials based on large deviation estimates and the avalanche principle effective | [['we', 'prove', 'a', 'conditional', 'theorem', 'on', 'the', 'positivity', 'of', 'the', 'lyapunov', 'exponent', 'for', 'a', 'schrodinger', 'cocycle', 'over', 'a', 'skew', 'shift', 'base', 'with', 'a', 'cosine', 'potential', 'and', 'the', 'golden', 'ratio', 'as', 'frequency', 'for', 'coupling', 'below', '1', 'which', 'is', 'the', 'threshold', 'for', 'hermans', 'subharmonicity', 'trick', 'we', 'formulate', 'three', 'conditions', 'on', 'the', 'lyapunov', 'exponent', 'in', 'a', 'finite', 'but', 'large', 'volume', 'and', 'on', 'the', 'associated', 'large', 'deviation', 'estimates', 'at', 'that', 'scale', 'our', 'main', 'results', 'demonstrate', 'that', 'these', 'finitesize', 'conditions', 'imply', 'the', 'positivity', 'of', 'the', 'infinite', 'volume', 'lyapunov', 'exponent', 'this', 'paper', 'shows', 'that', 'it', 'is', 'possible', 'to', 'make', 'the', 'techniques', 'developed', 'for', 'the', 'study', 'of', 'schrodinger', 'operators', 'with', 'deterministic', 'potentials', 'based', 'on', 'large', 'deviation', 'estimates', 'and', 'the', 'avalanche', 'principle', 'effective']] | [-0.1274485578497305, 0.11093108628512077, -0.11402904670280607, 0.10544981445469286, -0.03757508677865743, -0.14375309167308328, 0.07597296638110572, 0.2973975101890771, -0.2601067144423723, -0.21223357110891652, 0.15125570866461518, -0.2617068904006611, -0.17453001921834504, 0.2510370838881025, -0.04912010665335085, 0.09723032975326414, 0.03286794080075039, 0.06278654111792212, -0.07856626586188846, -0.19328729346718476, 0.3722643819435135, 0.014773596507375655, 0.2849387675118835, 0.12802618039447977, 0.12955952615922559, -0.0002772185789502185, -0.019453080168560795, 0.015928873988678274, -0.17554986885762722, 0.10531481539263673, 0.16551171602964726, 0.05313051788986701, 0.28469637089773364, -0.31688216637981975, -0.18712737481717182, 0.12870060834304795, 0.10119852006394903, 0.06973969376261306, -0.04073520432145375, -0.2725444029814199, 0.12124175332162691, -0.1525780485841729, -0.17850519646586768, -0.06775586922531543, 0.03520553540843337, 0.04411444523898156, -0.32576194374781586, 0.11503458475243583, 0.07730916753694739, 0.07360442141880807, -0.0703977928881574, -0.10421052781217124, 0.027636018931946678, 0.07990185428491753, 0.045063727992870235, -0.009306089812889695, 0.11454150974345596, -0.05793721118496488, -0.10461976587286462, 0.31810027355247217, -0.08102462940403948, -0.21949520192878402, 0.14424985086180916, -0.1606451725060849, -0.13341128487625847, 0.10276888991989519, 0.16852756537011135, 0.08900733692166599, -0.10092627865910206, 0.11503095289378468, -0.048672688274603824, 0.1786214034923393, 0.0732789732677781, 0.022720891362784996, 0.09827640698007915, 0.09820366738283116, 0.1624532299116254, 0.11619217851826841, -0.061762711040564286, -0.12594395150359639, -0.35427444867141866, -0.14317760429466547, -0.22006234566012964, 0.1016643440887413, -0.1549438993766671, -0.19644218670285266, 0.3833852722350022, 0.13021687072013383, 0.19324238872074562, 0.1906262962360178, 0.24795115188412045, 0.1717686710919699, 0.09150612270459532, 0.04932201371082793, 0.2260823263067995, 0.15003738638985417, 0.10154301684005591, -0.23095932298279165, 0.0316411382842647, 0.1523223830913396] |
1,803.02035 | Large deviation estimates and H\"older regularity of the Lyapunov
exponents for quasi-periodic Schr\"odinger cocycles | We consider one-dimensional quasi-periodic Schr\"odinger operators with
analytic potentials. In the positive Lyapunov exponent regime, we prove large
deviation estimates which lead to optimal H\"older continuity of the Lyapunov
exponents and the integrated density of states, in both small Lyapunov exponent
and large coupling regimes. Our results cover all the Diophantine frequencies
and some Liouville frequencies.
| math-ph math.DS math.MP math.SP | we consider onedimensional quasiperiodic schrodinger operators with analytic potentials in the positive lyapunov exponent regime we prove large deviation estimates which lead to optimal holder continuity of the lyapunov exponents and the integrated density of states in both small lyapunov exponent and large coupling regimes our results cover all the diophantine frequencies and some liouville frequencies | [['we', 'consider', 'onedimensional', 'quasiperiodic', 'schrodinger', 'operators', 'with', 'analytic', 'potentials', 'in', 'the', 'positive', 'lyapunov', 'exponent', 'regime', 'we', 'prove', 'large', 'deviation', 'estimates', 'which', 'lead', 'to', 'optimal', 'holder', 'continuity', 'of', 'the', 'lyapunov', 'exponents', 'and', 'the', 'integrated', 'density', 'of', 'states', 'in', 'both', 'small', 'lyapunov', 'exponent', 'and', 'large', 'coupling', 'regimes', 'our', 'results', 'cover', 'all', 'the', 'diophantine', 'frequencies', 'and', 'some', 'liouville', 'frequencies']] | [-0.21936435678175517, 0.1345928657184621, -0.07729634414759598, 0.11056450266291254, -0.034020286891193664, -0.1957184027414769, 0.045917493773491254, 0.27379010430844836, -0.28084535968290375, -0.13963885282698488, 0.11994245238851622, -0.31130330357700586, -0.15849793412988739, 0.24826794375465916, -0.0062067453816000906, 0.1958098314769034, 0.005403395825331765, -0.022573123819061687, -0.056892668296183856, -0.1765182470013055, 0.3565891123143956, -0.06753177134253617, 0.23770135426561215, 0.054143659703965695, 0.06516143912449479, -0.05477394656710593, 0.02300549499757056, -0.004450056311075709, -0.2499526068900845, 0.08784011486464546, 0.265357191973765, -0.021897464179866283, 0.2881343545990863, -0.34324276354163885, -0.20050876522769354, 0.15855599087496688, 0.1352597737027931, 0.056636101389553266, -0.015559109464187973, -0.3090758922376803, 0.06123133371667271, -0.10134934728765595, -0.23578576048436975, -0.11013711983936705, 0.07316356752666511, 0.12350406022077161, -0.3575042622895645, 0.16734382605812112, 0.029924369184300303, 0.07162545021024666, -0.16307593053040495, -0.08828857644195003, 0.004764722581187796, 0.12681852893937112, 0.05307518475248279, -0.02514700567865345, 0.1268758045625873, -0.045069537059004815, -0.11163163470337167, 0.24693520293970192, -0.10366431211254426, -0.25002632117164986, 0.16380482229994545, -0.27440786215343643, -0.12970049449774837, 0.12729730052940016, 0.16948350101509796, 0.07617921076182808, -0.08384946123364248, 0.15871576994478737, -0.0036037574900547042, 0.18244552683349216, 0.1080741367934804, 0.09933552776263761, 0.06957067120155054, 0.03263218424815152, 0.15500863348799093, 0.10908575938499, -0.021742927900049835, -0.13525764200936205, -0.328759084588715, -0.07129090437332966, -0.19648299655818846, 0.1279416538309306, -0.21356892297132749, -0.21625576905041402, 0.43348105126850506, 0.13307820266345516, 0.19128531639996385, 0.21987875265144144, 0.15725910284423403, 0.23526593772736046, 0.006074203377855676, 0.13058612595445343, 0.25786501018956187, 0.1596832244790026, 0.11898364331656401, -0.2402198913540425, -0.03790048758466063, 0.13953664924650053] |
1,803.02036 | Hot fusion reactions with deformed nuclei for synthesis of superheavy
nuclei: an extension of the fusion-by-diffusion model | The fusion-by-diffusion model proposed by Swiatecki {\it et al.} [Phys. Rev.
C71, 014602 (2005)] has provided a simple and convenient tool to estimate
evaporation residue cross sections for superheavy nuclei. I extend this model
by taking into account deformation of the target nucleus, and discuss the role
of orientation of deformed target in hot fusion reactions at energies around
the Coulomb barrier. To this end, I introduce an injection point for the
diffusion process over an inner barrier which depends on the orientation angle.
I apply this model to the $^{48}$Ca+$^{248}$Cm reaction and show that the
maximum of evaporation residue cross section appears at an energy slightly
above the height of the capture barrier for the side collision, for which the
effective inner barrier is considerably lower than that for the tip collision,
thus enhancing the diffusion probability. I also discuss the energy dependence
of the injection point, and show that a large part of the energy dependence
found in the previous analyses can be attributed to the deformation effect of a
target nucleus.
| nucl-th nucl-ex | the fusionbydiffusion model proposed by swiatecki it et al phys rev c71 014602 2005 has provided a simple and convenient tool to estimate evaporation residue cross sections for superheavy nuclei i extend this model by taking into account deformation of the target nucleus and discuss the role of orientation of deformed target in hot fusion reactions at energies around the coulomb barrier to this end i introduce an injection point for the diffusion process over an inner barrier which depends on the orientation angle i apply this model to the 48ca248cm reaction and show that the maximum of evaporation residue cross section appears at an energy slightly above the height of the capture barrier for the side collision for which the effective inner barrier is considerably lower than that for the tip collision thus enhancing the diffusion probability i also discuss the energy dependence of the injection point and show that a large part of the energy dependence found in the previous analyses can be attributed to the deformation effect of a target nucleus | [['the', 'fusionbydiffusion', 'model', 'proposed', 'by', 'swiatecki', 'it', 'et', 'al', 'phys', 'rev', 'c71', '014602', '2005', 'has', 'provided', 'a', 'simple', 'and', 'convenient', 'tool', 'to', 'estimate', 'evaporation', 'residue', 'cross', 'sections', 'for', 'superheavy', 'nuclei', 'i', 'extend', 'this', 'model', 'by', 'taking', 'into', 'account', 'deformation', 'of', 'the', 'target', 'nucleus', 'and', 'discuss', 'the', 'role', 'of', 'orientation', 'of', 'deformed', 'target', 'in', 'hot', 'fusion', 'reactions', 'at', 'energies', 'around', 'the', 'coulomb', 'barrier', 'to', 'this', 'end', 'i', 'introduce', 'an', 'injection', 'point', 'for', 'the', 'diffusion', 'process', 'over', 'an', 'inner', 'barrier', 'which', 'depends', 'on', 'the', 'orientation', 'angle', 'i', 'apply', 'this', 'model', 'to', 'the', '48ca248cm', 'reaction', 'and', 'show', 'that', 'the', 'maximum', 'of', 'evaporation', 'residue', 'cross', 'section', 'appears', 'at', 'an', 'energy', 'slightly', 'above', 'the', 'height', 'of', 'the', 'capture', 'barrier', 'for', 'the', 'side', 'collision', 'for', 'which', 'the', 'effective', 'inner', 'barrier', 'is', 'considerably', 'lower', 'than', 'that', 'for', 'the', 'tip', 'collision', 'thus', 'enhancing', 'the', 'diffusion', 'probability', 'i', 'also', 'discuss', 'the', 'energy', 'dependence', 'of', 'the', 'injection', 'point', 'and', 'show', 'that', 'a', 'large', 'part', 'of', 'the', 'energy', 'dependence', 'found', 'in', 'the', 'previous', 'analyses', 'can', 'be', 'attributed', 'to', 'the', 'deformation', 'effect', 'of', 'a', 'target', 'nucleus']] | [-0.034233915870187474, 0.10686688844400444, -0.09753245715041617, 0.06375131508758547, -0.009921600067001931, -0.09454255084616735, 0.04081413410877918, 0.3362006235812955, -0.2620026093770695, -0.30095982783446634, -0.013076242696329513, -0.25520468000596497, -0.06677191269974334, 0.16864047467516846, -0.02485004021813545, -0.03163632050923565, 0.033665296218960604, 0.05148128421210191, -0.028848801288918098, -0.2037774116280215, 0.32276760755545075, 0.1639436682795777, 0.2627354636706193, 0.15275696584936027, 0.073920714630581, 0.06454555061782766, 0.01528431454070789, -0.013479252285597956, -0.1742787094642528, 0.09477784599670593, 0.1993587093811263, 0.04658187123508576, 0.20938444411491647, -0.4133758844259907, -0.22227871629464277, 0.06637676264679826, 0.14053947874276407, 0.12208772722686477, -0.07325277353349306, -0.2614467553116436, 0.06361845857052899, -0.21447691390263465, -0.15256246951244334, -0.013091020359784392, 0.09944226428428117, 0.013527611002106877, -0.2764341485138763, 0.06437703522833009, 0.08123334227677653, 0.028312051794765626, -0.08923357458346907, -0.1495533893487471, -0.04987395075149834, 0.06395464362850523, 0.05139353809080443, 0.016204300909885207, 0.20368954742957346, -0.11342127888244302, -0.05579809663159882, 0.330368380106109, -0.02262068202296231, -0.14902776524643688, 0.14563316979500301, -0.14337877925375805, -0.07878847028649248, 0.1991598058902823, 0.1734578820548075, 0.1442775843473261, -0.13238520316834398, 0.09375324951457407, 0.01271481040509089, 0.1405686036673347, 0.09400884850388941, -0.04451662113835268, 0.1899631581888945, 0.17628187238896156, 0.05514059959198622, 0.10090859009103631, -0.17982661456472296, -0.11543874121031396, -0.33600821666529074, -0.16547285799375352, -0.12954372994273025, 0.045112564270932444, -0.04224630634485306, -0.11174404249416993, 0.3654721007759423, 0.13070382529540975, 0.284872859996497, 0.003032687011941829, 0.26737438053002255, 0.1401449168457047, 0.06334486777127227, 0.07148133858161813, 0.2857662943575312, 0.12578129555536982, 0.0724749478559448, -0.25257780358797927, 0.09619278598248082, 0.054015010522733276] |
1,803.02037 | Matter effects on the flavor conversions of solar neutrinos and
high-energy astrophysical neutrinos | Can we observe the solar eclipses in the neutrino light? In principle, this
is possible by identifying the lunar matter effects on the flavor conversions
of solar neutrinos when they traverse the Moon before reaching the detectors at
the Earth. Unfortunately, we show that the lunar matter effects on the survival
probability of solar $^8{\rm B}$ neutrinos are suppressed by an additional
factor of $1.2\%$, compared to the day-night asymmetry. However, we point out
that the matter effects on the flavor conversions of high-energy astrophysical
neutrinos, when they propagate through the Sun, can be significant. Though the
flavor composition of high-energy neutrinos can be remarkably modified, it is
quite challenging to observe such effects even in the next-generation of
neutrino telescopes.
| hep-ph | can we observe the solar eclipses in the neutrino light in principle this is possible by identifying the lunar matter effects on the flavor conversions of solar neutrinos when they traverse the moon before reaching the detectors at the earth unfortunately we show that the lunar matter effects on the survival probability of solar 8rm b neutrinos are suppressed by an additional factor of 12 compared to the daynight asymmetry however we point out that the matter effects on the flavor conversions of highenergy astrophysical neutrinos when they propagate through the sun can be significant though the flavor composition of highenergy neutrinos can be remarkably modified it is quite challenging to observe such effects even in the nextgeneration of neutrino telescopes | [['can', 'we', 'observe', 'the', 'solar', 'eclipses', 'in', 'the', 'neutrino', 'light', 'in', 'principle', 'this', 'is', 'possible', 'by', 'identifying', 'the', 'lunar', 'matter', 'effects', 'on', 'the', 'flavor', 'conversions', 'of', 'solar', 'neutrinos', 'when', 'they', 'traverse', 'the', 'moon', 'before', 'reaching', 'the', 'detectors', 'at', 'the', 'earth', 'unfortunately', 'we', 'show', 'that', 'the', 'lunar', 'matter', 'effects', 'on', 'the', 'survival', 'probability', 'of', 'solar', '8rm', 'b', 'neutrinos', 'are', 'suppressed', 'by', 'an', 'additional', 'factor', 'of', '12', 'compared', 'to', 'the', 'daynight', 'asymmetry', 'however', 'we', 'point', 'out', 'that', 'the', 'matter', 'effects', 'on', 'the', 'flavor', 'conversions', 'of', 'highenergy', 'astrophysical', 'neutrinos', 'when', 'they', 'propagate', 'through', 'the', 'sun', 'can', 'be', 'significant', 'though', 'the', 'flavor', 'composition', 'of', 'highenergy', 'neutrinos', 'can', 'be', 'remarkably', 'modified', 'it', 'is', 'quite', 'challenging', 'to', 'observe', 'such', 'effects', 'even', 'in', 'the', 'nextgeneration', 'of', 'neutrino', 'telescopes']] | [-0.07750710161510578, 0.33091412469745163, -0.06309925099367696, 0.19056079432479883, -0.041978597271540935, -0.05720865997785995, 0.06159316253856071, 0.3472661987901473, -0.2408533763786978, -0.3582865854355791, 0.05135155314952905, -0.31098133652309373, -0.0740463760766116, 0.205169469395206, -0.02869212639341054, -0.022306865612275836, 0.10767438523625293, 0.00721583653949509, -0.07756718803122101, -0.24403782510621982, 0.2457263590998886, 0.1393155229628117, 0.19106470775590392, 0.08064885318571748, 0.058093743898120734, -0.07055484685154001, -0.05510413146015903, -0.057204393027273336, -0.029029938204368878, -0.020749095881219246, 0.20968880032358522, 0.14136526267783148, 0.10841738549638386, -0.469828800852449, -0.2391302117034947, 0.16096681955054956, 0.13992508516977886, 0.06958126499941034, -0.07559986732811629, -0.3133848720068528, 0.05463359349845978, -0.1613379088403611, -0.1283747502140824, 0.005321396052960522, -0.024534372701348107, -0.028384812935332435, -0.2680347761262424, 0.04287318196455556, -0.00045462566127708133, -0.014714265857969434, -0.012050457832005167, -0.15435713603476847, -0.024890203544608323, 0.09028786308303367, 0.15973369712548807, -0.046102291454122334, 0.1662248658932253, -0.16229771698001494, -0.05029260445278415, 0.4702150047995335, -0.07945961533653095, -0.10455889191694004, 0.1618877592908357, -0.2391484321502984, -0.15154068663423834, 0.15510888184297614, 0.18172952932621206, 0.0721679329641225, -0.14817391732088983, 0.07913939909978716, -0.06460588473118534, 0.14546468502515736, 0.08136834437027574, 0.04678351382825, 0.3396060594226703, 0.1926282543789072, 0.11773079607928218, -0.019236443121725125, -0.19030897420338425, -0.0004069033922619871, -0.2775997095597015, -0.08807174828142113, -0.1206075167206447, 0.10305389305307291, -0.0824937933501749, -0.09591957581929925, 0.3872109324679025, 0.1733875266537994, 0.13109618171372198, -0.06254567277486905, 0.29838520052750434, 0.0823618857698007, 0.07684316172328015, 0.05985654752955518, 0.3842773069743036, 0.07655146428237646, 0.12900542931569633, -0.2704007500967334, 0.06899004931222986, 0.008460139278476397] |
1,803.02038 | Gate-tunable Room-temperature Ferromagnetism in Two-dimensional
Fe$_3$GeTe$_2$ | Material research has been a major driving force in the development of modern
nano-electronic devices. In particular, research in magnetic thin films has
revolutionized the development of spintronic devices; identifying new magnetic
materials is key to better device performance and new device paradigm. The
advent of two-dimensional van der Waals crystals creates new possibilities.
This family of materials retain their chemical stability and structural
integrity down to monolayers and, being atomically thin, are readily tuned by
various kinds of gate modulation. Recent experiments have demonstrated that it
is possible to obtain two-dimensional ferromagnetic order in insulating
Cr$_2$Ge$_2$Te$_6$ and CrI$_3$ at low temperatures. Here, we developed a new
device fabrication technique, and successfully isolated monolayers from layered
metallic magnet Fe$_3$GeTe$_2$ for magnetotransport study. We found that the
itinerant ferromagnetism persists in Fe$_3$GeTe$_2$ down to monolayer with an
out-of-plane magnetocrystalline anisotropy. The ferromagnetic transition
temperature, $T_c$, is suppressed in pristine Fe$_3$GeTe$_2$ thin flakes. An
ionic gate, however, dramatically raises the $T_c$ up to room temperature,
significantly higher than the bulk $T_c$ of 205 Kelvin. The gate-tunable
room-temperature ferromagnetism in two-dimensional Fe$_3$GeTe$_2$ opens up
opportunities for potential voltage-controlled magnetoelectronics based on
atomically thin van der Waals crystals.
| cond-mat.mtrl-sci | material research has been a major driving force in the development of modern nanoelectronic devices in particular research in magnetic thin films has revolutionized the development of spintronic devices identifying new magnetic materials is key to better device performance and new device paradigm the advent of twodimensional van der waals crystals creates new possibilities this family of materials retain their chemical stability and structural integrity down to monolayers and being atomically thin are readily tuned by various kinds of gate modulation recent experiments have demonstrated that it is possible to obtain twodimensional ferromagnetic order in insulating cr_2ge_2te_6 and cri_3 at low temperatures here we developed a new device fabrication technique and successfully isolated monolayers from layered metallic magnet fe_3gete_2 for magnetotransport study we found that the itinerant ferromagnetism persists in fe_3gete_2 down to monolayer with an outofplane magnetocrystalline anisotropy the ferromagnetic transition temperature t_c is suppressed in pristine fe_3gete_2 thin flakes an ionic gate however dramatically raises the t_c up to room temperature significantly higher than the bulk t_c of 205 kelvin the gatetunable roomtemperature ferromagnetism in twodimensional fe_3gete_2 opens up opportunities for potential voltagecontrolled magnetoelectronics based on atomically thin van der waals crystals | [['material', 'research', 'has', 'been', 'a', 'major', 'driving', 'force', 'in', 'the', 'development', 'of', 'modern', 'nanoelectronic', 'devices', 'in', 'particular', 'research', 'in', 'magnetic', 'thin', 'films', 'has', 'revolutionized', 'the', 'development', 'of', 'spintronic', 'devices', 'identifying', 'new', 'magnetic', 'materials', 'is', 'key', 'to', 'better', 'device', 'performance', 'and', 'new', 'device', 'paradigm', 'the', 'advent', 'of', 'twodimensional', 'van', 'der', 'waals', 'crystals', 'creates', 'new', 'possibilities', 'this', 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'flakes', 'an', 'ionic', 'gate', 'however', 'dramatically', 'raises', 'the', 't_c', 'up', 'to', 'room', 'temperature', 'significantly', 'higher', 'than', 'the', 'bulk', 't_c', 'of', '205', 'kelvin', 'the', 'gatetunable', 'roomtemperature', 'ferromagnetism', 'in', 'twodimensional', 'fe_3gete_2', 'opens', 'up', 'opportunities', 'for', 'potential', 'voltagecontrolled', 'magnetoelectronics', 'based', 'on', 'atomically', 'thin', 'van', 'der', 'waals', 'crystals']] | [-0.166451612348217, 0.18236795277229736, 0.0038064794960556573, -0.0879495103409053, -0.059980189970204816, -0.2141834512621779, 0.07780251387517524, 0.42789540694277617, -0.26457825223507225, -0.31770383049109857, -0.0381727945941654, -0.32966955404995085, -0.14139731769562824, 0.27467515784647006, 0.026132174820360756, 0.0958399579381482, -0.08167423981904369, -0.1756668220356361, -0.10003813689114939, -0.23074164059368374, 0.21597718591465778, 0.03328838752829902, 0.37653403389075596, 0.14565829058974675, 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1,803.02039 | Observation of $\psi(3686) \to n\bar{n}$ and improved measurement of
$\psi(3686) \to p \bar{p}$ | We observe the decay $\psi(3686) \to n \bar{n}$ for the first time and
measure $\psi(3686) \to p \bar{p}$ with improved accuracy by using $1.07\times
10^8$ $\psi(3686)$ events collected with the BESIII detector. The measured
branching fractions are $\mathcal{B}(\psi(3686) \to n \bar{n}) = (3.06 \pm 0.06
\pm 0.14)\times 10^{-4}$ and $\mathcal{B}(\psi(3686) \to p \bar{p}) = (3.05 \pm
0.02 \pm 0.12) \times 10^{-4}$. Here, the first uncertainties are statistical
and the second ones systematic. With the hypothesis that the polar angular
distributions of the neutron and proton in the center-of-mass system obey
$1+\alpha \cos^2\theta$, we determine the $\alpha$ parameters to be
$\alpha_{n\bar{n}} = 0.68 \pm 0.12 \pm 0.11$ and $\alpha_{p\bar{p}} = 1.03 \pm
0.06 \pm 0.03$ for $\psi(3686)\to n\bar{n}$ and $\psi(3686)\to p\bar{p}$,
respectively.
| hep-ex | we observe the decay psi3686 to n barn for the first time and measure psi3686 to p barp with improved accuracy by using 107times 108 psi3686 events collected with the besiii detector the measured branching fractions are mathcalbpsi3686 to n barn 306 pm 006 pm 014times 104 and mathcalbpsi3686 to p barp 305 pm 002 pm 012 times 104 here the first uncertainties are statistical and the second ones systematic with the hypothesis that the polar angular distributions of the neutron and proton in the centerofmass system obey 1alpha cos2theta we determine the alpha parameters to be alpha_nbarn 068 pm 012 pm 011 and alpha_pbarp 103 pm 006 pm 003 for psi3686to nbarn and psi3686to pbarp respectively | [['we', 'observe', 'the', 'decay', 'psi3686', 'to', 'n', 'barn', 'for', 'the', 'first', 'time', 'and', 'measure', 'psi3686', 'to', 'p', 'barp', 'with', 'improved', 'accuracy', 'by', 'using', '107times', '108', 'psi3686', 'events', 'collected', 'with', 'the', 'besiii', 'detector', 'the', 'measured', 'branching', 'fractions', 'are', 'mathcalbpsi3686', 'to', 'n', 'barn', '306', 'pm', '006', 'pm', '014times', '104', 'and', 'mathcalbpsi3686', 'to', 'p', 'barp', '305', 'pm', '002', 'pm', '012', 'times', '104', 'here', 'the', 'first', 'uncertainties', 'are', 'statistical', 'and', 'the', 'second', 'ones', 'systematic', 'with', 'the', 'hypothesis', 'that', 'the', 'polar', 'angular', 'distributions', 'of', 'the', 'neutron', 'and', 'proton', 'in', 'the', 'centerofmass', 'system', 'obey', '1alpha', 'cos2theta', 'we', 'determine', 'the', 'alpha', 'parameters', 'to', 'be', 'alpha_nbarn', '068', 'pm', '012', 'pm', '011', 'and', 'alpha_pbarp', '103', 'pm', '006', 'pm', '003', 'for', 'psi3686to', 'nbarn', 'and', 'psi3686to', 'pbarp', 'respectively']] | [-0.10693073821628628, 0.2404152386902791, -0.044701721442296456, 0.022639596628268126, 0.07993816424809072, -0.0791641113525459, 0.11092283644956415, 0.31370723727766586, -0.12563345853401267, -0.4023361097049454, -0.007545846541736113, -0.4583027655339759, 0.1481604646526925, 0.17510479107377647, -0.0008370820777085812, 0.1126241877330872, 0.03941354460194302, -0.008665712240516491, -0.06796552005385899, -0.17158358972620866, 0.06997759028378388, 0.026388812939757887, 0.23627240542403383, 0.011324906090031499, 0.042325405173165645, -0.04537387077048745, 0.006523039070484431, -0.14018953076523283, -0.3056146318652875, -0.0030182911973932517, 0.2034097871641912, 0.03930122896462031, 0.12148955286804425, -0.2495372618528326, 0.04269297997588697, 0.19313486452092943, 0.14357778456305031, -0.06807414745183095, 0.052864459942540395, -0.3704968180021514, 0.22365245815852414, -0.20306103311317122, -0.07358646426430863, 0.04882489214853748, 0.15465074561374342, -0.07101482984245472, -0.3507509544329799, 0.22479885325807591, -0.09229073253986628, 0.06454370038826829, -0.06774660046313606, -0.3106146201248402, -0.020937848220700803, -0.034560091890718625, 0.0384594896008544, 0.21434066373368968, 0.15562881084725907, 0.03756935280727466, -0.08620582350894161, 0.39585117576238904, -0.08688632525787081, -0.11020812032663303, 0.022951538683137977, -0.28291231622595503, -0.12932624107469684, 0.2379809208376252, 0.2219923378818709, 0.05766576360506208, -0.16263567434380885, 0.01281413581404511, 0.050253286648734026, 0.29855215585102207, 0.08424739323394453, 0.04145594295519202, 0.15072539005752492, 0.131307648726658, -0.06960098105280296, -0.03240780993719059, -0.21248688982880634, 0.02155554563050037, -0.31224372741543566, -0.07676360198984976, -0.06772379488886698, 0.15557676651312605, -0.14341602000615397, 0.019589162153779004, 0.23027425114389347, 0.087606436490719, 0.32012457407039147, 0.08125120648182929, 0.21226961331684951, 0.13161529183144802, -0.051700055096095994, 0.06517152349140658, 0.27821865878675295, 0.2122530389111489, 0.0798104621955882, -0.25181133125316474, 0.01936500646305554, -0.04993724719742718] |
1,803.0204 | Principal eigenvalues of a class of nonlinear integro-differential
operators | We consider a class of nonlinear integro-differential operators and prove
existence of two principal (half) eigenvalues in bounded smooth domains with
exterior Dirichlet condition. We then establish simplicity of the principal
eigenfunctions in viscosity sense, maximum principles, continuity property of
the principal eigenvalues with respect to domains etc. We also prove an
anti-maximum principle and study existence result for some nonlinear problem
via Rabinowitz bifurcation-type results.
| math.AP | we consider a class of nonlinear integrodifferential operators and prove existence of two principal half eigenvalues in bounded smooth domains with exterior dirichlet condition we then establish simplicity of the principal eigenfunctions in viscosity sense maximum principles continuity property of the principal eigenvalues with respect to domains etc we also prove an antimaximum principle and study existence result for some nonlinear problem via rabinowitz bifurcationtype results | [['we', 'consider', 'a', 'class', 'of', 'nonlinear', 'integrodifferential', 'operators', 'and', 'prove', 'existence', 'of', 'two', 'principal', 'half', 'eigenvalues', 'in', 'bounded', 'smooth', 'domains', 'with', 'exterior', 'dirichlet', 'condition', 'we', 'then', 'establish', 'simplicity', 'of', 'the', 'principal', 'eigenfunctions', 'in', 'viscosity', 'sense', 'maximum', 'principles', 'continuity', 'property', 'of', 'the', 'principal', 'eigenvalues', 'with', 'respect', 'to', 'domains', 'etc', 'we', 'also', 'prove', 'an', 'antimaximum', 'principle', 'and', 'study', 'existence', 'result', 'for', 'some', 'nonlinear', 'problem', 'via', 'rabinowitz', 'bifurcationtype', 'results']] | [-0.17079281052010079, 0.02716268883567395, -0.07021818719239849, 0.03701963634089087, -0.1441237676049103, -0.10183599624415916, -0.039372052672798884, 0.3154185444511699, -0.35003319943577726, -0.17478576755225236, 0.16230107642089328, -0.27720579019550123, -0.16830563525824496, 0.1558946721312223, -0.097138118930161, 0.10295225945865792, 0.10748476306837278, 0.052022577693798776, -0.08566528059203517, -0.16854630938773466, 0.4295657087456096, -0.12106723494997079, 0.23165517982631695, 0.10658322163913964, 0.10782443682634921, 0.002022835687085083, 0.017357925856203743, -0.011267673675761078, -0.21273060248473263, 0.14960795489781903, 0.2691531748031125, 0.062220337324437096, 0.34134327259027597, -0.42147219871086156, -0.1640531945846636, 0.19236468355114938, 0.0916552404417995, 0.017722801009023733, -0.0028614200383537645, -0.2738782871994331, 0.14488261368365563, -0.08888426491510913, -0.2708617995747111, -0.07470439240392862, 0.0009021815194776564, 0.051630006099444334, -0.29685755011936027, 0.12387405437810671, 0.15756776141510767, 0.07966118410342571, -0.16777062479575927, -0.10503311252757681, -0.015507058706134558, 0.026695401132614774, 0.07539882069756983, -0.10448951651271658, 0.019642661967681663, -0.0566451358750011, -0.12007175758833799, 0.2996306134331407, -0.09346964318926136, -0.2854899653431141, 0.1349245295930428, -0.1472703258623369, -0.15919153317526885, 0.028258281908082692, 0.13603486884103128, 0.17888903425949992, -0.10786614152179523, 0.14897792831338433, -0.07793146564103098, 0.1091869079902994, 0.11788119499882062, 0.02428921228839141, 0.07803005731495266, 0.06349996777928689, 0.21155293302779848, 0.1841304856246676, 0.02227881804785945, -0.09422199520508223, -0.36190252910565696, -0.1841317962459994, -0.18070278349191402, 0.08217078532007607, -0.13415810934957612, -0.22305763192531286, 0.36189558119760035, 0.08232086129260785, 0.1927631295878779, 0.1375129233805858, 0.18321088495466745, 0.1768845886302491, -0.0585492337828107, 0.08863293883306059, 0.19531917331650303, 0.2570998447834317, 0.08263693510018515, -0.18763769380959935, 0.00332110381515866, 0.20139774765575016] |
1,803.02041 | Numerical Investigations of SO(4) Emergent Extended Symmetry in Spin-1/2
Heisenberg Antiferromagnetic Chains | The antiferromagnetic Heisenberg chain is expected to have an extended
symmetry, [SU(2)xSU(2)]/Z 2 , in the infrared limit, whose physical
interpretation is that the spin and dimer order parameters form the components
of a common 4-dimensional vector. Here we numerically in- vestigate this
emergent symmetry using quantum Monte Carlo simulations of a modified
Heisenberg chain (the J-Q model) in which the logarithmic scaling corrections
of the conventional Heisenberg chain can be avoided. We show how the two- and
three-point spin and dimer correlation func- tions approach their forms
constrained by conformal field theory as the system size increases and
numerically confirm the expected effects of the extended symmetry on various
correlation functions.
| cond-mat.str-el | the antiferromagnetic heisenberg chain is expected to have an extended symmetry su2xsu2z 2 in the infrared limit whose physical interpretation is that the spin and dimer order parameters form the components of a common 4dimensional vector here we numerically in vestigate this emergent symmetry using quantum monte carlo simulations of a modified heisenberg chain the jq model in which the logarithmic scaling corrections of the conventional heisenberg chain can be avoided we show how the two and threepoint spin and dimer correlation func tions approach their forms constrained by conformal field theory as the system size increases and numerically confirm the expected effects of the extended symmetry on various correlation functions | [['the', 'antiferromagnetic', 'heisenberg', 'chain', 'is', 'expected', 'to', 'have', 'an', 'extended', 'symmetry', 'su2xsu2z', '2', 'in', 'the', 'infrared', 'limit', 'whose', 'physical', 'interpretation', 'is', 'that', 'the', 'spin', 'and', 'dimer', 'order', 'parameters', 'form', 'the', 'components', 'of', 'a', 'common', '4dimensional', 'vector', 'here', 'we', 'numerically', 'in', 'vestigate', 'this', 'emergent', 'symmetry', 'using', 'quantum', 'monte', 'carlo', 'simulations', 'of', 'a', 'modified', 'heisenberg', 'chain', 'the', 'jq', 'model', 'in', 'which', 'the', 'logarithmic', 'scaling', 'corrections', 'of', 'the', 'conventional', 'heisenberg', 'chain', 'can', 'be', 'avoided', 'we', 'show', 'how', 'the', 'two', 'and', 'threepoint', 'spin', 'and', 'dimer', 'correlation', 'func', 'tions', 'approach', 'their', 'forms', 'constrained', 'by', 'conformal', 'field', 'theory', 'as', 'the', 'system', 'size', 'increases', 'and', 'numerically', 'confirm', 'the', 'expected', 'effects', 'of', 'the', 'extended', 'symmetry', 'on', 'various', 'correlation', 'functions']] | [-0.13415235101922668, 0.18283990010399562, -0.08153114069083875, 0.1282770362947221, -0.04003414539673196, -0.09738755818795074, -0.01630049337796994, 0.37492213435471056, -0.2613923327573998, -0.2519792289134454, 0.09770494824677536, -0.283674339001829, -0.15922344344329428, 0.13014877950349316, 0.08816778564994986, 0.07024661021158946, -0.029941613997586748, 0.02759000431026586, -0.15008448624179105, -0.2197340426924215, 0.2846125067148188, 0.05078688853483816, 0.27613884714770726, 0.047216817330230365, 0.08390471733767878, 0.0477792186726054, 0.06977097105488858, 0.017237721984698015, -0.16830118791952953, 0.09650142283856192, 0.18618789117211815, -0.0055660029534589164, 0.15531346055319195, -0.42726110826161773, -0.19084193931723184, 0.08148087906989862, 0.17443584016820585, 0.13744234141195194, 0.012609196230980821, -0.29097410219679165, 0.00780333462594585, -0.2332976210100407, -0.17574861493988217, -0.09148890275762163, -0.05014893964504485, -0.0041052487467161634, -0.24265596288341013, 0.09750493448227644, 0.07529619256542487, 0.06548767936500637, -0.02072091093286872, -0.0925760527130809, -0.06776847656583414, 0.07824102458649908, 0.04055693577869202, 0.04550559033893726, 0.10449722750345244, -0.1286483386266892, -0.17559771110219033, 0.36830305622213266, -0.06908352703480473, -0.2187844009053978, 0.13183764158324762, -0.13713561500083993, -0.13460219141058835, 0.08463397331281819, 0.1133730761198835, 0.08690288138618185, -0.1398987234623002, 0.15251827466682616, -0.026937327085232193, 0.18542665294794874, -0.028266247988424517, 0.017594908029687675, 0.21588606399018317, 0.1166619142094119, 0.010253346063109348, 0.17994299637132577, -0.08873365130910481, -0.2035718628798019, -0.29520408436656, -0.15546796942468394, -0.2180830586574633, 0.07816944285295904, -0.15109265957990745, -0.15344695572487332, 0.36897090981418096, 0.17022407304627699, 0.15103099412703655, 0.04949567202076485, 0.2190070774321529, 0.15086264621191234, 0.09375431699127974, 0.0219403967091983, 0.229876360475001, 0.16582856266547671, 0.0186038650773381, -0.30970215346156194, -0.00305760737339204, 0.0905763915612955] |
1,803.02042 | Accelerated Gradient Boosting | Gradient tree boosting is a prediction algorithm that sequentially produces a
model in the form of linear combinations of decision trees, by solving an
infinite-dimensional optimization problem. We combine gradient boosting and
Nesterov's accelerated descent to design a new algorithm, which we call AGB
(for Accelerated Gradient Boosting). Substantial numerical evidence is provided
on both synthetic and real-life data sets to assess the excellent performance
of the method in a large variety of prediction problems. It is empirically
shown that AGB is much less sensitive to the shrinkage parameter and outputs
predictors that are considerably more sparse in the number of trees, while
retaining the exceptional performance of gradient boosting.
| stat.ML cs.LG | gradient tree boosting is a prediction algorithm that sequentially produces a model in the form of linear combinations of decision trees by solving an infinitedimensional optimization problem we combine gradient boosting and nesterovs accelerated descent to design a new algorithm which we call agb for accelerated gradient boosting substantial numerical evidence is provided on both synthetic and reallife data sets to assess the excellent performance of the method in a large variety of prediction problems it is empirically shown that agb is much less sensitive to the shrinkage parameter and outputs predictors that are considerably more sparse in the number of trees while retaining the exceptional performance of gradient boosting | [['gradient', 'tree', 'boosting', 'is', 'a', 'prediction', 'algorithm', 'that', 'sequentially', 'produces', 'a', 'model', 'in', 'the', 'form', 'of', 'linear', 'combinations', 'of', 'decision', 'trees', 'by', 'solving', 'an', 'infinitedimensional', 'optimization', 'problem', 'we', 'combine', 'gradient', 'boosting', 'and', 'nesterovs', 'accelerated', 'descent', 'to', 'design', 'a', 'new', 'algorithm', 'which', 'we', 'call', 'agb', 'for', 'accelerated', 'gradient', 'boosting', 'substantial', 'numerical', 'evidence', 'is', 'provided', 'on', 'both', 'synthetic', 'and', 'reallife', 'data', 'sets', 'to', 'assess', 'the', 'excellent', 'performance', 'of', 'the', 'method', 'in', 'a', 'large', 'variety', 'of', 'prediction', 'problems', 'it', 'is', 'empirically', 'shown', 'that', 'agb', 'is', 'much', 'less', 'sensitive', 'to', 'the', 'shrinkage', 'parameter', 'and', 'outputs', 'predictors', 'that', 'are', 'considerably', 'more', 'sparse', 'in', 'the', 'number', 'of', 'trees', 'while', 'retaining', 'the', 'exceptional', 'performance', 'of', 'gradient', 'boosting']] | [-0.04822755602230741, 0.05885904541527535, -0.10299461958294903, 0.09103224724531174, -0.12352441816844724, -0.14390480785672977, 0.0507450974101878, 0.4551482620141046, -0.29591574441980234, -0.30532060019587254, 0.10728685752255843, -0.256541768478399, -0.16973554171113805, 0.23694254740522327, -0.10616865587971089, 0.06655770950442688, 0.14818082032513552, -0.00835531788285483, -0.06341467154402794, -0.31121934963474895, 0.23318692823363976, 0.12344013825058937, 0.29502043199979444, -0.03168115117587149, 0.16001499876570466, -0.040591106614605944, -0.01883688450960273, 0.06950956920839169, -0.022543686261038105, 0.14667947401440787, 0.2518513797544239, 0.2209189134438268, 0.34907413245263424, -0.3569487437775189, -0.2073864662596448, 0.12328674038448795, 0.15994310177100654, 0.11201345748797228, -0.09102826101073085, -0.21639778378673574, 0.0912177132865922, -0.13686199769039045, -0.03803632320328192, -0.13912002991207623, -0.03253460932861675, 0.011741501329445535, -0.33421609037852085, 0.032988934637978674, 0.04795504931191152, 0.017546855319630017, -0.0381858017295599, -0.1743984990329905, 0.0008829100036316297, 0.02614646421914751, 0.06075946164465594, 0.06060298724861985, 0.11289025514640591, -0.15601550502152267, -0.12778327744454146, 0.3484640280631455, -0.09072127703746612, -0.20093463950536467, 0.18639099834994835, -0.057933301067995754, -0.15261072629893369, 0.15231214340945537, 0.2541343572549522, 0.1626932201822373, -0.13913922082124786, 0.03752348610379903, -0.02522437305782329, 0.11948768166317181, 0.020895278041081673, -0.05701362258246676, 0.11556159097658979, 0.21163373108614575, 0.12903778272765604, 0.15705915973733434, -0.08342933609700677, -0.12854227400596507, -0.2302410219796002, -0.11769392227076671, -0.15827936807816678, -0.053528152452781794, -0.22514266698073532, -0.20618612009433987, 0.37411256355275824, 0.20322602007284082, 0.23071932055225428, 0.0962693542083302, 0.34083412215960296, 0.10334382004697215, 0.0765667668797753, 0.13645762344822288, 0.22421787771057677, 0.13382252289871263, 0.03389829314440827, -0.2350264635445042, 0.1311242724303156, 0.08141202347099104] |
1,803.02043 | Online Deep Learning: Growing RBM on the fly | We propose a novel online learning algorithm for Restricted Boltzmann
Machines (RBM), namely, the Online Generative Discriminative Restricted
Boltzmann Machine (OGD-RBM), that provides the ability to build and adapt the
network architecture of RBM according to the statistics of streaming data. The
OGD-RBM is trained in two phases: (1) an online generative phase for
unsupervised feature representation at the hidden layer and (2) a
discriminative phase for classification. The online generative training begins
with zero neurons in the hidden layer, adds and updates the neurons to adapt to
statistics of streaming data in a single pass unsupervised manner, resulting in
a feature representation best suited to the data. The discriminative phase is
based on stochastic gradient descent and associates the represented features to
the class labels. We demonstrate the OGD-RBM on a set of multi-category and
binary classification problems for data sets having varying degrees of
class-imbalance. We first apply the OGD-RBM algorithm on the multi-class MNIST
dataset to characterize the network evolution. We demonstrate that the online
generative phase converges to a stable, concise network architecture, wherein
individual neurons are inherently discriminative to the class labels despite
unsupervised training. We then benchmark OGD-RBM performance to other machine
learning, neural network and ClassRBM techniques for credit scoring
applications using 3 public non-stationary two-class credit datasets with
varying degrees of class-imbalance. We report that OGD-RBM improves accuracy by
2.5-3% over batch learning techniques while requiring at least 24%-70% fewer
neurons and fewer training samples. This online generative training approach
can be extended greedily to multiple layers for training Deep Belief Networks
in non-stationary data mining applications without the need for a priori fixed
architectures.
| cs.NE cs.LG stat.ML | we propose a novel online learning algorithm for restricted boltzmann machines rbm namely the online generative discriminative restricted boltzmann machine ogdrbm that provides the ability to build and adapt the network architecture of rbm according to the statistics of streaming data the ogdrbm is trained in two phases 1 an online generative phase for unsupervised feature representation at the hidden layer and 2 a discriminative phase for classification the online generative training begins with zero neurons in the hidden layer adds and updates the neurons to adapt to statistics of streaming data in a single pass unsupervised manner resulting in a feature representation best suited to the data the discriminative phase is based on stochastic gradient descent and associates the represented features to the class labels we demonstrate the ogdrbm on a set of multicategory and binary classification problems for data sets having varying degrees of classimbalance we first apply the ogdrbm algorithm on the multiclass mnist dataset to characterize the network evolution we demonstrate that the online generative phase converges to a stable concise network architecture wherein individual neurons are inherently discriminative to the class labels despite unsupervised training we then benchmark ogdrbm performance to other machine learning neural network and classrbm techniques for credit scoring applications using 3 public nonstationary twoclass credit datasets with varying degrees of classimbalance we report that ogdrbm improves accuracy by 253 over batch learning techniques while requiring at least 2470 fewer neurons and fewer training samples this online generative training approach can be extended greedily to multiple layers for training deep belief networks in nonstationary data mining applications without the need for a priori fixed architectures | [['we', 'propose', 'a', 'novel', 'online', 'learning', 'algorithm', 'for', 'restricted', 'boltzmann', 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1,803.02044 | Halo structure of $^8$B determined from intermediate energy proton
elastic scattering in inverse kinematics | The absolute differential cross section for small-angle proton elastic
scattering on the proton-rich $^8$B nucleus has been measured in inverse
kinematics for the first time. The experiment was performed using a secondary
radioactive beam with an energy of 0.7 GeV/u at GSI, Darmstadt. The active
target, namely hydrogen-filled time projection ionization chamber IKAR, was
used to measure the energy, angle and vertex point of the recoil protons. The
scattering angle of the projectiles was simultaneously determined by the
tracking detectors. The measured differential cross section is analyzed on the
basis of the Glauber multiple scattering theory using phenomenological
nuclear-density distributions with two free parameters. The radial density
distribution deduced for $^8$B exhibits a halo structure with the
root-mean-square (rms) matter radius $R_{\rm m} = 2.58 (6)$ fm and the rms halo
radius $R_{\rm h} = 4.24 (25)$ fm. The results on $^8$B are compared to those
on the mirror nucleus $^8$Li investigated earlier by the same method. A
comparison is also made with previous experimental results and theoretical
predictions for both nuclei.
| nucl-ex nucl-th | the absolute differential cross section for smallangle proton elastic scattering on the protonrich 8b nucleus has been measured in inverse kinematics for the first time the experiment was performed using a secondary radioactive beam with an energy of 07 gevu at gsi darmstadt the active target namely hydrogenfilled time projection ionization chamber ikar was used to measure the energy angle and vertex point of the recoil protons the scattering angle of the projectiles was simultaneously determined by the tracking detectors the measured differential cross section is analyzed on the basis of the glauber multiple scattering theory using phenomenological nucleardensity distributions with two free parameters the radial density distribution deduced for 8b exhibits a halo structure with the rootmeansquare rms matter radius r_rm m 258 6 fm and the rms halo radius r_rm h 424 25 fm the results on 8b are compared to those on the mirror nucleus 8li investigated earlier by the same method a comparison is also made with previous experimental results and theoretical predictions for both nuclei | [['the', 'absolute', 'differential', 'cross', 'section', 'for', 'smallangle', 'proton', 'elastic', 'scattering', 'on', 'the', 'protonrich', '8b', 'nucleus', 'has', 'been', 'measured', 'in', 'inverse', 'kinematics', 'for', 'the', 'first', 'time', 'the', 'experiment', 'was', 'performed', 'using', 'a', 'secondary', 'radioactive', 'beam', 'with', 'an', 'energy', 'of', '07', 'gevu', 'at', 'gsi', 'darmstadt', 'the', 'active', 'target', 'namely', 'hydrogenfilled', 'time', 'projection', 'ionization', 'chamber', 'ikar', 'was', 'used', 'to', 'measure', 'the', 'energy', 'angle', 'and', 'vertex', 'point', 'of', 'the', 'recoil', 'protons', 'the', 'scattering', 'angle', 'of', 'the', 'projectiles', 'was', 'simultaneously', 'determined', 'by', 'the', 'tracking', 'detectors', 'the', 'measured', 'differential', 'cross', 'section', 'is', 'analyzed', 'on', 'the', 'basis', 'of', 'the', 'glauber', 'multiple', 'scattering', 'theory', 'using', 'phenomenological', 'nucleardensity', 'distributions', 'with', 'two', 'free', 'parameters', 'the', 'radial', 'density', 'distribution', 'deduced', 'for', '8b', 'exhibits', 'a', 'halo', 'structure', 'with', 'the', 'rootmeansquare', 'rms', 'matter', 'radius', 'r_rm', 'm', '258', '6', 'fm', 'and', 'the', 'rms', 'halo', 'radius', 'r_rm', 'h', '424', '25', 'fm', 'the', 'results', 'on', '8b', 'are', 'compared', 'to', 'those', 'on', 'the', 'mirror', 'nucleus', '8li', 'investigated', 'earlier', 'by', 'the', 'same', 'method', 'a', 'comparison', 'is', 'also', 'made', 'with', 'previous', 'experimental', 'results', 'and', 'theoretical', 'predictions', 'for', 'both', 'nuclei']] | [-0.03903464935856926, 0.16616723712829887, -0.11498966240050161, 0.10797328309272416, 0.028382951475899008, -0.08813315430923147, -0.004283550587784061, 0.3831319738508147, -0.18469869150739054, -0.34931812055052863, -0.01406551045981948, -0.3712566651732606, 0.067549259136157, 0.19342325033811741, 0.05128050473902156, 0.11431557517224814, 0.06384678255930981, 0.04498826721135308, -0.08053930868285106, -0.15743898645947305, 0.26913976212963464, 0.16308157138581222, 0.2626090570935048, 0.07999669803342412, 0.099286077497527, 0.05207594932803391, -0.048016559080604246, -0.030718708373880122, -0.17125707619946778, 0.05535559597260812, 0.2091010203858947, 0.0403397470671574, 0.11448656775139492, -0.3943829808548531, -0.15745495799928905, 0.0408556284437723, 0.12104137942249722, 0.03921489280182868, -0.06866013979101006, -0.293118891834884, 0.042635568538817635, -0.19600978518617065, -0.17891158369808075, 0.0359646650716005, 0.05662899295909002, 0.037030730485532654, -0.245244139075786, 0.07654103814189404, -0.048768068666515105, 0.06568741699516335, -0.09290369304225725, -0.25306478380662156, -0.004562683345969109, 0.03348263702355325, 0.06013393148451167, 0.05712942413930946, 0.22346006705809165, -0.05200666872072308, -0.06405101354124353, 0.3492468703428612, -0.03921882972011671, -0.10512938309402671, 0.08723848316457246, -0.21214142336290986, -0.05567297199877965, 0.21733317940413732, 0.1515177292009706, 0.10890970153884744, -0.16222777078647221, 0.043764714101288356, -0.04866639915793819, 0.2256165071234778, 0.12209935927188352, -0.04011863688116565, 0.14792669985292697, 0.20160501761745442, 0.007382679012987544, 0.00984834677142584, -0.2557062122012105, -0.053873277209041746, -0.300585037138765, -0.07482983124825884, -0.10589009867159321, 0.042761562185307196, -0.06682970552980859, -0.050024715953451745, 0.3302608449012041, 0.0024969295119209325, 0.2269652193220442, -0.006092998319688965, 0.31228065406903627, 0.08894262242076152, 0.061340034730485916, 0.026409809644717504, 0.34674596245236255, 0.2235241330393097, 0.10528409470091848, -0.2901111124247751, 0.06938323693098294, 0.05490779024959706] |
1,803.02045 | Requiem for an ideal clock | The `problem of time' remains an unresolved issue in all known physical
descriptions of the Universe. One aspect of this problem is the conspicuous
absence of time in the Wheeler-Dewitt equation, which is the analogue of the
Schrodinger equation for the Universal wavefunction. Page and Wootters famously
addressed this problem by providing a mechanism for effectively introducing
time evolution into this timeless cosmological picture. Their method, which is
sometimes called the conditional probability interpretation (CPI), requires the
identification of an internal clock system that is meant to keep time for the
remainder of the Universe. Most investigations into this idea employ the
idealized limit of a non-interacting clock system, the so-called ideal clock.
However, by allowing for interactions, we have found the counter-intuitive
result that a non-interacting clock is not necessarily the optimal choice, even
if it is `ideal'. In particular, the uncertainty that is associated with the
physical measurement of an atomic clock is found to decrease monotonically as
the interactions grow stronger. This observation, which is reinforced by a
previous study using a semi-classical clock, paves the way to an independent
argument that is based on the energy conservation of any isolated system. Our
conclusion is that ideal clocks must be prohibited from the CPI when recovering
cosmological time evolution. Interactions are necessary for describing time
evolution as a strict matter of principle. Lastly, we also consider the
implications of this result for the experience of time in the evolution of the
Universe.
| quant-ph hep-th | the problem of time remains an unresolved issue in all known physical descriptions of the universe one aspect of this problem is the conspicuous absence of time in the wheelerdewitt equation which is the analogue of the schrodinger equation for the universal wavefunction page and wootters famously addressed this problem by providing a mechanism for effectively introducing time evolution into this timeless cosmological picture their method which is sometimes called the conditional probability interpretation cpi requires the identification of an internal clock system that is meant to keep time for the remainder of the universe most investigations into this idea employ the idealized limit of a noninteracting clock system the socalled ideal clock however by allowing for interactions we have found the counterintuitive result that a noninteracting clock is not necessarily the optimal choice even if it is ideal in particular the uncertainty that is associated with the physical measurement of an atomic clock is found to decrease monotonically as the interactions grow stronger this observation which is reinforced by a previous study using a semiclassical clock paves the way to an independent argument that is based on the energy conservation of any isolated system our conclusion is that ideal clocks must be prohibited from the cpi when recovering cosmological time evolution interactions are necessary for describing time evolution as a strict matter of principle lastly we also consider the implications of this result for the experience of time in the evolution of the universe | [['the', 'problem', 'of', 'time', 'remains', 'an', 'unresolved', 'issue', 'in', 'all', 'known', 'physical', 'descriptions', 'of', 'the', 'universe', 'one', 'aspect', 'of', 'this', 'problem', 'is', 'the', 'conspicuous', 'absence', 'of', 'time', 'in', 'the', 'wheelerdewitt', 'equation', 'which', 'is', 'the', 'analogue', 'of', 'the', 'schrodinger', 'equation', 'for', 'the', 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1,803.02046 | Characterizations of $(m,n)$-Jordan derivations on some algebras | Let $\mathcal R$ be a ring, $\mathcal{M}$ be a $\mathcal R$-bimodule and
$m,n$ be two fixed nonnegative integers with $m+n\neq0$. An additive mapping
$\delta$ from $\mathcal R$ into $\mathcal{M}$ is called an \emph{$(m,n)$-Jordan
derivation} if $(m+n)\delta(A^{2})=2mA\delta(A)+2n\delta(A)A$ for every $A$ in
$\mathcal R$. In this paper, we prove that every $(m,n)$-Jordan derivation from
a $C^{*}$-algebra into its Banach bimodule is zero. An additive mapping
$\delta$ from $\mathcal R$ into $\mathcal{M}$ is called a $(m,n)$-Jordan
derivable mapping at $W$ in $\mathcal R$ if
$(m+n)\delta(AB+BA)=2m\delta(A)B+2m\delta(B)A+2nA\delta(B)+2nB\delta(A)$ for
each $A$ and $B$ in $\mathcal R$ with $AB=BA=W$. We prove that if $\mathcal{M}$
is a unital $\mathcal A$-bimodule with a left (right) separating set generated
algebraically by all idempotents in $\mathcal A$, then every $(m,n)$-Jordan
derivable mapping at zero from $\mathcal A$ into $\mathcal{M}$ is identical
with zero. We also show that if $\mathcal{A}$ and $\mathcal{B}$ are two unital
algebras, $\mathcal{M}$ is a faithful unital
$(\mathcal{A},\mathcal{B})$-bimodule and
$\mathcal{U}={\left[\begin{array}{cc}\mathcal{A} &\mathcal{M} \\\mathcal{N} &
\mathcal{B} \\\end{array}\right]}$ is a generalized matrix algebra, then every
$(m,n)$-Jordan derivable mapping at zero from $\mathcal{U}$ into itself is
equal to zero.
| math.OA | let mathcal r be a ring mathcalm be a mathcal rbimodule and mn be two fixed nonnegative integers with mnneq0 an additive mapping delta from mathcal r into mathcalm is called an emphmnjordan derivation if mndeltaa22madeltaa2ndeltaaa for every a in mathcal r in this paper we prove that every mnjordan derivation from a calgebra into its banach bimodule is zero an additive mapping delta from mathcal r into mathcalm is called a mnjordan derivable mapping at w in mathcal r if mndeltaabba2mdeltaab2mdeltaba2nadeltab2nbdeltaa for each a and b in mathcal r with abbaw we prove that if mathcalm is a unital mathcal abimodule with a left right separating set generated algebraically by all idempotents in mathcal a then every mnjordan derivable mapping at zero from mathcal a into mathcalm is identical with zero we also show that if mathcala and mathcalb are two unital algebras mathcalm is a faithful unital mathcalamathcalbbimodule and mathcaluleftbeginarrayccmathcala mathcalm mathcaln mathcalb endarrayright is a generalized matrix algebra then every mnjordan derivable mapping at zero from mathcalu into itself is equal to zero | [['let', 'mathcal', 'r', 'be', 'a', 'ring', 'mathcalm', 'be', 'a', 'mathcal', 'rbimodule', 'and', 'mn', 'be', 'two', 'fixed', 'nonnegative', 'integers', 'with', 'mnneq0', 'an', 'additive', 'mapping', 'delta', 'from', 'mathcal', 'r', 'into', 'mathcalm', 'is', 'called', 'an', 'emphmnjordan', 'derivation', 'if', 'mndeltaa22madeltaa2ndeltaaa', 'for', 'every', 'a', 'in', 'mathcal', 'r', 'in', 'this', 'paper', 'we', 'prove', 'that', 'every', 'mnjordan', 'derivation', 'from', 'a', 'calgebra', 'into', 'its', 'banach', 'bimodule', 'is', 'zero', 'an', 'additive', 'mapping', 'delta', 'from', 'mathcal', 'r', 'into', 'mathcalm', 'is', 'called', 'a', 'mnjordan', 'derivable', 'mapping', 'at', 'w', 'in', 'mathcal', 'r', 'if', 'mndeltaabba2mdeltaab2mdeltaba2nadeltab2nbdeltaa', 'for', 'each', 'a', 'and', 'b', 'in', 'mathcal', 'r', 'with', 'abbaw', 'we', 'prove', 'that', 'if', 'mathcalm', 'is', 'a', 'unital', 'mathcal', 'abimodule', 'with', 'a', 'left', 'right', 'separating', 'set', 'generated', 'algebraically', 'by', 'all', 'idempotents', 'in', 'mathcal', 'a', 'then', 'every', 'mnjordan', 'derivable', 'mapping', 'at', 'zero', 'from', 'mathcal', 'a', 'into', 'mathcalm', 'is', 'identical', 'with', 'zero', 'we', 'also', 'show', 'that', 'if', 'mathcala', 'and', 'mathcalb', 'are', 'two', 'unital', 'algebras', 'mathcalm', 'is', 'a', 'faithful', 'unital', 'mathcalamathcalbbimodule', 'and', 'mathcaluleftbeginarrayccmathcala', 'mathcalm', 'mathcaln', 'mathcalb', 'endarrayright', 'is', 'a', 'generalized', 'matrix', 'algebra', 'then', 'every', 'mnjordan', 'derivable', 'mapping', 'at', 'zero', 'from', 'mathcalu', 'into', 'itself', 'is', 'equal', 'to', 'zero']] | [-0.1564477550350791, 0.14258635042952691, -0.0649061598759916, -0.04627580607665383, -0.05207703281717496, -0.2668839210517616, -0.059906395318223574, 0.3464697282430688, -0.40742184294486894, -0.03337914642696021, 0.07735369857001125, -0.34116121519015297, -0.07135103514539243, 0.14532535158637802, -0.11930382942240796, -0.10543679039320528, 0.08177679359703463, 0.16771514088841233, -0.13118638866167714, -0.17196828395558092, 0.35948749454196033, -0.1192536827985517, 0.1304075600615201, 0.013028173958166288, 0.15703037314491688, -0.009189575188655472, 0.04397384729649673, 0.06267382385148584, -0.1922514666492769, 0.03932758646647958, 0.31458638495209035, 0.1725281344440121, 0.3118770998522375, -0.3229112302265874, -0.04799484896475997, 0.2541348677481244, 0.14878704397355003, -0.10470287451663843, 0.01249821324000609, -0.28508448974951306, 0.1954808992498345, -0.22071126504586294, -0.04637618636514044, -0.01964366124783086, 0.2071592201252837, -0.07930198371322197, -0.42917007117493616, -0.05470741240561874, 0.12180490656783419, 0.0850499233550574, -0.04001140625687239, -0.09493153909849521, -0.15530015706889244, 0.06769418699347232, -0.11838529745568714, 0.16643735469517315, 0.08303133781087314, 0.03312099442993616, -0.03195795835927129, 0.36203141523712484, -0.10222936193624059, -0.26886202353080346, 0.05769193089241988, -0.22742681009364288, -0.14935538050933525, 0.09379644132599499, 0.0038692390480073247, 0.13385617439827976, -0.05333646605088866, 0.31502689146602075, -0.2002608144832169, 0.11593863583781575, 0.023782510594216853, 0.018446448272832577, 0.19660774133989267, 0.07177511399843284, 0.11452387281319473, 0.13155209695570413, 0.08273402202499688, 0.11380269548155852, -0.4189457684402635, -0.13249201560944054, -0.15691006326422471, 0.22244655803962232, -0.08089620429201372, -0.14868503763786786, 0.316599262936162, 0.07343071560477342, 0.22647248344088095, 0.13670286870721352, 0.21476245931619722, 0.09007806751331847, 0.046408708024420084, 0.14200283728054994, 0.027293671947523686, 0.22518816692671964, -0.08461248163773111, -0.10755327517392677, -0.05815862006226764, 0.20824527858960382] |
1,803.02047 | Observation of topological phenomena in a programmable lattice of 1,800
qubits | The celebrated work of Berezinskii, Kosterlitz and Thouless in the 1970s
revealed exotic phases of matter governed by topological properties of
low-dimensional materials such as thin films of superfluids and
superconductors. Key to this phenomenon is the appearance and interaction of
vortices and antivortices in an angular degree of freedom---typified by the
classical XY model---due to thermal fluctuations. In the 2D Ising model this
angular degree of freedom is absent in the classical case, but with the
addition of a transverse field it can emerge from the interplay between
frustration and quantum fluctuations. Consequently a Kosterlitz-Thouless (KT)
phase transition has been predicted in the quantum system by theory and
simulation. Here we demonstrate a large-scale quantum simulation of this
phenomenon in a network of 1,800 in situ programmable superconducting flux
qubits arranged in a fully-frustrated square-octagonal lattice. Essential to
the critical behavior, we observe the emergence of a complex order parameter
with continuous rotational symmetry, and the onset of quasi-long-range order as
the system approaches a critical temperature. We use a simple but previously
undemonstrated approach to statistical estimation with an annealing-based
quantum processor, performing Monte Carlo sampling in a chain of reverse
quantum annealing protocols. Observations are consistent with classical
simulations across a range of Hamiltonian parameters. We anticipate that our
approach of using a quantum processor as a programmable magnetic lattice will
find widespread use in the simulation and development of exotic materials.
| quant-ph cond-mat.stat-mech | the celebrated work of berezinskii kosterlitz and thouless in the 1970s revealed exotic phases of matter governed by topological properties of lowdimensional materials such as thin films of superfluids and superconductors key to this phenomenon is the appearance and interaction of vortices and antivortices in an angular degree of freedomtypified by the classical xy modeldue to thermal fluctuations in the 2d ising model this angular degree of freedom is absent in the classical case but with the addition of a transverse field it can emerge from the interplay between frustration and quantum fluctuations consequently a kosterlitzthouless kt phase transition has been predicted in the quantum system by theory and simulation here we demonstrate a largescale quantum simulation of this phenomenon in a network of 1800 in situ programmable superconducting flux qubits arranged in a fullyfrustrated squareoctagonal lattice essential to the critical behavior we observe the emergence of a complex order parameter with continuous rotational symmetry and the onset of quasilongrange order as the system approaches a critical temperature we use a simple but previously undemonstrated approach to statistical estimation with an annealingbased quantum processor performing monte carlo sampling in a chain of reverse quantum annealing protocols observations are consistent with classical simulations across a range of hamiltonian parameters we anticipate that our approach of using a quantum processor as a programmable magnetic lattice will find widespread use in the simulation and development of exotic materials | [['the', 'celebrated', 'work', 'of', 'berezinskii', 'kosterlitz', 'and', 'thouless', 'in', 'the', '1970s', 'revealed', 'exotic', 'phases', 'of', 'matter', 'governed', 'by', 'topological', 'properties', 'of', 'lowdimensional', 'materials', 'such', 'as', 'thin', 'films', 'of', 'superfluids', 'and', 'superconductors', 'key', 'to', 'this', 'phenomenon', 'is', 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1,803.02048 | Spatially dependent atom-photon entanglement | The atom-photon entanglement using the Laguerre-Gaussian beams is studied in
the closed-loop three-level $V$-type quantum systems. We consider two schemes
with degenerated and non-degenerated upper levels: in the first, the effect of
the quantum interference due to the spontaneous emission is taken into account
and in the second, a microwave plane wave is applied to the upper levels
transition for non-degenerated scheme. It is shown that the atom-photon
entanglement in both schemes depends on the intensity profile as well as the
orbital angular momentum (OAM) of applied fields so that the various spatially
dependent entanglement patterns can be generated by Laguerre-Gaussian beams
with different OAMs. However, no entanglement appears in the center of optical
vortex beams, because of the zero intensity. As a result, the entanglement
between atoms and its spontaneous emissions in different points of the atomic
cell can be controlled by the OAM of the applied fields. Moreover, our
numerical results show that the number of the local maximum degree of
entanglement peaks are determined by the OAM of the applied fields. It seems
that the present results would greatly facilitate the determination of the OAM
and may find the broad applications in quantum information processing.
| physics.optics quant-ph | the atomphoton entanglement using the laguerregaussian beams is studied in the closedloop threelevel vtype quantum systems we consider two schemes with degenerated and nondegenerated upper levels in the first the effect of the quantum interference due to the spontaneous emission is taken into account and in the second a microwave plane wave is applied to the upper levels transition for nondegenerated scheme it is shown that the atomphoton entanglement in both schemes depends on the intensity profile as well as the orbital angular momentum oam of applied fields so that the various spatially dependent entanglement patterns can be generated by laguerregaussian beams with different oams however no entanglement appears in the center of optical vortex beams because of the zero intensity as a result the entanglement between atoms and its spontaneous emissions in different points of the atomic cell can be controlled by the oam of the applied fields moreover our numerical results show that the number of the local maximum degree of entanglement peaks are determined by the oam of the applied fields it seems that the present results would greatly facilitate the determination of the oam and may find the broad applications in quantum information processing | [['the', 'atomphoton', 'entanglement', 'using', 'the', 'laguerregaussian', 'beams', 'is', 'studied', 'in', 'the', 'closedloop', 'threelevel', 'vtype', 'quantum', 'systems', 'we', 'consider', 'two', 'schemes', 'with', 'degenerated', 'and', 'nondegenerated', 'upper', 'levels', 'in', 'the', 'first', 'the', 'effect', 'of', 'the', 'quantum', 'interference', 'due', 'to', 'the', 'spontaneous', 'emission', 'is', 'taken', 'into', 'account', 'and', 'in', 'the', 'second', 'a', 'microwave', 'plane', 'wave', 'is', 'applied', 'to', 'the', 'upper', 'levels', 'transition', 'for', 'nondegenerated', 'scheme', 'it', 'is', 'shown', 'that', 'the', 'atomphoton', 'entanglement', 'in', 'both', 'schemes', 'depends', 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'facilitate', 'the', 'determination', 'of', 'the', 'oam', 'and', 'may', 'find', 'the', 'broad', 'applications', 'in', 'quantum', 'information', 'processing']] | [-0.16182334063929799, 0.20399814036514874, -0.0794142317262036, 0.04131738628928709, 0.007272761465624125, -0.12102617110558456, 0.017561951068916705, 0.38330978823759865, -0.25915970688102524, -0.2729537275836173, 0.043774380304526087, -0.23557682228133534, -0.08973937846409778, 0.23087430772644402, -0.0024271269818071767, 0.07024268511973199, 0.021282001033970953, 0.008421309854402537, -0.022755535281818322, -0.21038858197168495, 0.3248343392700954, 0.04855233257944517, 0.3532599440100838, 0.07305632076094473, 0.10492589311542536, -0.00420811201088281, 0.004795336658417275, -0.018641446500715583, -0.08826411654775836, 0.09639295793933361, 0.23469688029221325, 0.09278667470524934, 0.21713430171061043, -0.42149240250765074, -0.2242394825396589, 0.09060422414466927, 0.16444911156378855, 0.17535219017435053, 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1,803.02049 | Dynamical Phase Transition of two-component Bose-Einstein condensate
with nonlinear tunneling in an optomechanical cavity-mediated double-well
system | We investigate the dynamical phase transition of two-component Bose-Einstein
condensate with nonlinear tunneling, which is trapped inside a double-well and
dispersively coupled to a single mode of a high-finesse optical cavity with one
moving end mirror driven by a single mode standing field. The nonlinear
tunneling interaction leads to an increase of stability points and riches the
phase diagram of the system. It is shown that the appearance of the moving end
mirror speeds up the tunneling of Bose-Einstein condensates, which makes
population difference between two wells and regulates the number of the
stability points of the system.
| quant-ph cond-mat.quant-gas | we investigate the dynamical phase transition of twocomponent boseeinstein condensate with nonlinear tunneling which is trapped inside a doublewell and dispersively coupled to a single mode of a highfinesse optical cavity with one moving end mirror driven by a single mode standing field the nonlinear tunneling interaction leads to an increase of stability points and riches the phase diagram of the system it is shown that the appearance of the moving end mirror speeds up the tunneling of boseeinstein condensates which makes population difference between two wells and regulates the number of the stability points of the system | [['we', 'investigate', 'the', 'dynamical', 'phase', 'transition', 'of', 'twocomponent', 'boseeinstein', 'condensate', 'with', 'nonlinear', 'tunneling', 'which', 'is', 'trapped', 'inside', 'a', 'doublewell', 'and', 'dispersively', 'coupled', 'to', 'a', 'single', 'mode', 'of', 'a', 'highfinesse', 'optical', 'cavity', 'with', 'one', 'moving', 'end', 'mirror', 'driven', 'by', 'a', 'single', 'mode', 'standing', 'field', 'the', 'nonlinear', 'tunneling', 'interaction', 'leads', 'to', 'an', 'increase', 'of', 'stability', 'points', 'and', 'riches', 'the', 'phase', 'diagram', 'of', 'the', 'system', 'it', 'is', 'shown', 'that', 'the', 'appearance', 'of', 'the', 'moving', 'end', 'mirror', 'speeds', 'up', 'the', 'tunneling', 'of', 'boseeinstein', 'condensates', 'which', 'makes', 'population', 'difference', 'between', 'two', 'wells', 'and', 'regulates', 'the', 'number', 'of', 'the', 'stability', 'points', 'of', 'the', 'system']] | [-0.21950006978087394, 0.2127903947401471, -0.07585661152556523, -0.034207035865805736, -0.006013670375532642, -0.19492924396466577, 0.06510615815368138, 0.33201224582117733, -0.2586155885792508, -0.2695226484947667, 0.028862554361397515, -0.2923103554022251, -0.10930237763238196, 0.1527240960098499, 0.00949619897541457, 0.04811626456069703, 0.02474707323221528, 0.019319678984620437, -0.0239075967372034, -0.20426215849132562, 0.36408812894809, -0.007780702718134437, 0.30899572600515524, 0.003348908097274145, 0.11760774478601406, -0.010184093454510582, 0.10937408872937061, -0.021186455247961745, -0.10101569037474942, 0.058708927918425094, 0.1285099431080031, -0.027590593618752997, 0.2644789773989849, -0.4301049378795587, -0.17974797622015587, 0.10090893304346091, 0.21007706206862112, 0.18031959954829774, -0.08115242016281961, -0.31024101910618496, -0.05521611443112547, -0.13564730932631966, -0.2008756124747119, -0.03668997561492558, -0.010447153281087853, 0.04671924823552978, -0.24821604417675003, 0.0660505914984613, 0.026239578572650708, 0.03524040285383864, -0.051155753414697795, 0.053885252046284776, -0.048547967261045565, 0.06241123568342657, -0.011352546375282869, 0.060427610591358066, 0.14564396115495082, -0.16601018218931798, -0.0657723284497553, 0.381927779590597, -0.10898804426910735, -0.1112325265409653, 0.20514002872859033, -0.1560639029758393, 0.0405183918679095, 0.18678210970793604, 0.14459717762181346, 0.08215112442017666, -0.12634632838129692, 0.013277360768537323, -0.005971783572541816, 0.2112341589788545, 0.10450197760091752, 0.04620018480250574, 0.31390530032542896, 0.22935469726062552, 0.030139350607915193, 0.2027477717445213, -0.13378340591277396, -0.16726408899305578, -0.26738110781476204, -0.15738426957859145, -0.1434380156290955, 8.0522268592399e-05, -0.03839350325885177, -0.20022585171801086, 0.4115521312805311, 0.09101017420085109, 0.21323316208353, -0.04576161576729572, 0.29297895998009765, 0.16917033385181304, 0.033025422019465844, -0.00219614420333231, 0.30351955895027033, 0.1760501936006797, 0.09378747996037864, -0.35684310014796805, -0.09240524563938379, 0.05088982188465948] |
1,803.0205 | Characterizations of Jordan derivations on algebras of locally
measurable operators | We prove that if $\mathcal M$ is a properly infinite von Neumann algebra and
$LS(\mathcal M)$ is the local measurable operator algebra affiliated with
$\mathcal M$, then every Jordan derivation from $LS(\mathcal M)$ into itself is
continuous with respect to the local measure topology $t(\mathcal M)$. We
construct an extension of a Jordan derivation from $\mathcal M$ into
$LS(\mathcal M)$ up to a Jordan derivation from $LS(\mathcal M)$ into itself.
Moreover, we prove that if $\mathcal M$ is a properly von Neumann algebra and
$\mathcal A$ is a subalgebra of $LS(\mathcal M)$ such that $\mathcal
M\subset\mathcal A$, then every Jordan derivation from $\mathcal A$ into
$LS(\mathcal M)$ is continuous with respect to the local measure topology
$t(\mathcal M)$.
| math.OA | we prove that if mathcal m is a properly infinite von neumann algebra and lsmathcal m is the local measurable operator algebra affiliated with mathcal m then every jordan derivation from lsmathcal m into itself is continuous with respect to the local measure topology tmathcal m we construct an extension of a jordan derivation from mathcal m into lsmathcal m up to a jordan derivation from lsmathcal m into itself moreover we prove that if mathcal m is a properly von neumann algebra and mathcal a is a subalgebra of lsmathcal m such that mathcal msubsetmathcal a then every jordan derivation from mathcal a into lsmathcal m is continuous with respect to the local measure topology tmathcal m | [['we', 'prove', 'that', 'if', 'mathcal', 'm', 'is', 'a', 'properly', 'infinite', 'von', 'neumann', 'algebra', 'and', 'lsmathcal', 'm', 'is', 'the', 'local', 'measurable', 'operator', 'algebra', 'affiliated', 'with', 'mathcal', 'm', 'then', 'every', 'jordan', 'derivation', 'from', 'lsmathcal', 'm', 'into', 'itself', 'is', 'continuous', 'with', 'respect', 'to', 'the', 'local', 'measure', 'topology', 'tmathcal', 'm', 'we', 'construct', 'an', 'extension', 'of', 'a', 'jordan', 'derivation', 'from', 'mathcal', 'm', 'into', 'lsmathcal', 'm', 'up', 'to', 'a', 'jordan', 'derivation', 'from', 'lsmathcal', 'm', 'into', 'itself', 'moreover', 'we', 'prove', 'that', 'if', 'mathcal', 'm', 'is', 'a', 'properly', 'von', 'neumann', 'algebra', 'and', 'mathcal', 'a', 'is', 'a', 'subalgebra', 'of', 'lsmathcal', 'm', 'such', 'that', 'mathcal', 'msubsetmathcal', 'a', 'then', 'every', 'jordan', 'derivation', 'from', 'mathcal', 'a', 'into', 'lsmathcal', 'm', 'is', 'continuous', 'with', 'respect', 'to', 'the', 'local', 'measure', 'topology', 'tmathcal', 'm']] | [-0.15467521263302392, 0.09980384945487862, -0.10714477986001815, -0.05338565314499041, -0.10870609797027886, -0.1929393118709071, -0.0332500369896969, 0.3074568589934363, -0.33087109596046627, -0.1399614681642996, 0.09600480494256584, -0.3041041843019999, -0.09877991397729796, 0.15078671095080864, -0.1546364094938637, -0.06822460354106803, 0.09250228081503485, 0.17503979021253493, -0.14363796275674215, -0.17260182262040102, 0.35598555848034275, -0.05606610684568047, 0.16129395834560323, -0.02951165728079967, 0.13774643624281016, -0.009257862762285348, -0.0016634806823463012, 0.06293108217163473, -0.21107226615252012, 0.05759563882094927, 0.23573932866764885, 0.14407983826648477, 0.2864021867069388, -0.3522390155813211, -0.06944372920462719, 0.22045013107932532, 0.10226978979304306, -0.10059953713391581, 0.037810741706838846, -0.2946200154753577, 0.15088656479413184, -0.1943123766627067, -0.08220471654278345, -0.01366066699449578, 0.21139707054911006, -0.07874466333952215, -0.34498294020214904, -0.02479685639214312, 0.14164779879725897, 0.035973920693828, -0.07767391191301946, -0.047334769872041084, -0.16906610108975673, 0.04679730376945092, -0.12730930550979117, 0.13672271879135162, 0.09966328562113942, 0.07896394696500567, -0.026887651811489183, 0.35027332317370635, -0.10950139410889302, -0.24568816899067253, 0.09882376411468045, -0.22581748412842426, -0.12832958111937484, 0.03139427520780482, 0.02946832387620567, 0.10752271521740998, -0.07649266479425451, 0.318795719397907, -0.1668591344744986, 0.09464523767749979, 0.05867468366701888, 0.009060246698781211, 0.14668214618841297, 0.09764798537979269, 0.13611096338743073, 0.09892680266728768, 0.09219542370599687, 0.047509081797021575, -0.41586949918259924, -0.21002121902524662, -0.18381540122258866, 0.23665824262067103, -0.09464547018650879, -0.1487468101689194, 0.3107431554036517, 0.04747167068063958, 0.2555836267037015, 0.12682222045607802, 0.1995686916077239, 0.10728564933260791, 0.10185645618396373, 0.15241549676682195, 0.05155445711734968, 0.2548666821800682, -0.018457548581382148, -0.17714728709135172, -0.10063378957824574, 0.23526970701467279] |
1,803.02051 | Efficient Decentralized LTL Monitoring Framework Using Tableau Technique | This paper presents a novel framework for decentralized monitoring of Linear
Temporal Logic (LTL), under the situation where processes are synchronous,
uniform (i.e. all processes are peers), and the formula is represented as a
tableau. The tableau technique allows one to construct a semantic tree for the
input formula, which can be used to optimize the decentralized monitoring of
LTL in various ways. Given a system P and an LTL formula L, we construct a
tableau for L. The tableauis used for two purposes: (a) to synthesize an
efficient round-robin communication policy for processes, and (b) to allow
processes to propagate their observations in an optimal way. In our framework,
processes can propagate truth values of atomic formulas, compound formulas, and
temporal formulas depending on the syntactic structure of the input LTL formula
and the observation power of processes. We demonstrate that this approach of
decentralized monitoring based on tableau construction is more straightforward,
more flexible, and more likely to yield efficient solutions than alternative
approaches.
| cs.LO | this paper presents a novel framework for decentralized monitoring of linear temporal logic ltl under the situation where processes are synchronous uniform ie all processes are peers and the formula is represented as a tableau the tableau technique allows one to construct a semantic tree for the input formula which can be used to optimize the decentralized monitoring of ltl in various ways given a system p and an ltl formula l we construct a tableau for l the tableauis used for two purposes a to synthesize an efficient roundrobin communication policy for processes and b to allow processes to propagate their observations in an optimal way in our framework processes can propagate truth values of atomic formulas compound formulas and temporal formulas depending on the syntactic structure of the input ltl formula and the observation power of processes we demonstrate that this approach of decentralized monitoring based on tableau construction is more straightforward more flexible and more likely to yield efficient solutions than alternative approaches | [['this', 'paper', 'presents', 'a', 'novel', 'framework', 'for', 'decentralized', 'monitoring', 'of', 'linear', 'temporal', 'logic', 'ltl', 'under', 'the', 'situation', 'where', 'processes', 'are', 'synchronous', 'uniform', 'ie', 'all', 'processes', 'are', 'peers', 'and', 'the', 'formula', 'is', 'represented', 'as', 'a', 'tableau', 'the', 'tableau', 'technique', 'allows', 'one', 'to', 'construct', 'a', 'semantic', 'tree', 'for', 'the', 'input', 'formula', 'which', 'can', 'be', 'used', 'to', 'optimize', 'the', 'decentralized', 'monitoring', 'of', 'ltl', 'in', 'various', 'ways', 'given', 'a', 'system', 'p', 'and', 'an', 'ltl', 'formula', 'l', 'we', 'construct', 'a', 'tableau', 'for', 'l', 'the', 'tableauis', 'used', 'for', 'two', 'purposes', 'a', 'to', 'synthesize', 'an', 'efficient', 'roundrobin', 'communication', 'policy', 'for', 'processes', 'and', 'b', 'to', 'allow', 'processes', 'to', 'propagate', 'their', 'observations', 'in', 'an', 'optimal', 'way', 'in', 'our', 'framework', 'processes', 'can', 'propagate', 'truth', 'values', 'of', 'atomic', 'formulas', 'compound', 'formulas', 'and', 'temporal', 'formulas', 'depending', 'on', 'the', 'syntactic', 'structure', 'of', 'the', 'input', 'ltl', 'formula', 'and', 'the', 'observation', 'power', 'of', 'processes', 'we', 'demonstrate', 'that', 'this', 'approach', 'of', 'decentralized', 'monitoring', 'based', 'on', 'tableau', 'construction', 'is', 'more', 'straightforward', 'more', 'flexible', 'and', 'more', 'likely', 'to', 'yield', 'efficient', 'solutions', 'than', 'alternative', 'approaches']] | [-0.10968773696698587, 0.06634850850510482, -0.10901246911309885, 0.08919475506708929, -0.14939800567191208, -0.18572385579234724, 0.10272963828844667, 0.42563565039273465, -0.2983352340644959, -0.28676662378605794, 0.0892559381152475, -0.21399379018561873, -0.10270067595904975, 0.214130762383116, -0.092350604411331, 0.09282456345681567, 0.031326254883385966, 0.021716763144076775, -0.03448954130748682, -0.17673421371304854, 0.26008421295026146, 0.030761275149768952, 0.267185279755204, -0.009703840204218233, 0.11627246561939969, 0.024471014282299263, -0.02668037364880244, -0.028177533230998298, -0.09653472099051931, 0.16041247016101173, 0.32773614590987565, 0.218365819695067, 0.25029130108005393, -0.4474264965646646, -0.14192237876140457, 0.10172121867142392, 0.15523432307262822, 0.10370280729310417, -0.0025915662150399646, -0.27211775802301635, 0.07623065244265352, -0.21024309172661917, -0.10479951718765677, -0.12149903050934276, 0.052976595136252316, -0.0002848484412287221, -0.3469903797577982, -0.01846373226267822, 0.12105592834396345, 0.05033942984529968, -0.06379074221935518, -0.0979762891766079, 0.0293701184243246, 0.11836519235406409, -0.024026880833800092, -0.02589946106273794, 0.11933107802249265, -0.08431437279267068, -0.18753743895583533, 0.3446559717159041, -0.03387406228549397, -0.2247010658657404, 0.15084895445175017, -0.06505079140717333, -0.15766289546154438, 0.11209381199441851, 0.17098358295801463, 0.20085515879433263, -0.1980992524069734, 0.038218121132531174, -0.047516379990812506, 0.1733243173722065, 0.07149372416350877, 0.048547036748619356, 0.16810311006212778, 0.18989018749756117, 0.09731443239601724, 0.19194809134527477, -0.020325319864081613, -0.10102402175296889, -0.2723749883769249, -0.17327703274557169, -0.09757854827101145, -0.03041767958890308, -0.09973243770108445, -0.1776486373619374, 0.36450865488838063, 0.18870368274775418, 0.1724347708746791, 0.16011572475756772, 0.3203157558359883, 0.14867418425609216, 0.07595879725131179, 0.05773368495812809, 0.10688384937291795, 0.10936382603972698, 0.1302193325069366, -0.15246475949093247, 0.15272695193998514, 0.08007006808184088] |
1,803.02052 | A shrinking projection approximant for the split equilibrium problems
and fixed point problems in Hilbert spaces | This work is devoted to establish the strong convergence results of an
iterative algorithm generated by the shrinking projection method in Hilbert
spaces. The proposed approximation sequence is used to find a common element in
the set of solutions of a finite family of split equilibrium problems and the
set of common fixed points of a finite family of total asymptotically strict
pseudo contractions in such setting. The results presented in this paper
improve and extend some recent corresponding results in the literature.
| math.FA | this work is devoted to establish the strong convergence results of an iterative algorithm generated by the shrinking projection method in hilbert spaces the proposed approximation sequence is used to find a common element in the set of solutions of a finite family of split equilibrium problems and the set of common fixed points of a finite family of total asymptotically strict pseudo contractions in such setting the results presented in this paper improve and extend some recent corresponding results in the literature | [['this', 'work', 'is', 'devoted', 'to', 'establish', 'the', 'strong', 'convergence', 'results', 'of', 'an', 'iterative', 'algorithm', 'generated', 'by', 'the', 'shrinking', 'projection', 'method', 'in', 'hilbert', 'spaces', 'the', 'proposed', 'approximation', 'sequence', 'is', 'used', 'to', 'find', 'a', 'common', 'element', 'in', 'the', 'set', 'of', 'solutions', 'of', 'a', 'finite', 'family', 'of', 'split', 'equilibrium', 'problems', 'and', 'the', 'set', 'of', 'common', 'fixed', 'points', 'of', 'a', 'finite', 'family', 'of', 'total', 'asymptotically', 'strict', 'pseudo', 'contractions', 'in', 'such', 'setting', 'the', 'results', 'presented', 'in', 'this', 'paper', 'improve', 'and', 'extend', 'some', 'recent', 'corresponding', 'results', 'in', 'the', 'literature']] | [-0.09817409770091973, 0.026073648229820643, -0.08465398217450423, 0.0441328706556415, -0.03553211506938629, -0.04955475885667894, 0.05844771134083619, 0.3328317145715995, -0.2942555075432791, -0.23139562298465205, 0.11863375579551176, -0.2589681620249547, -0.14750842261969685, 0.1924772568450994, -0.11308161464957409, 0.10138318904939231, 0.08177033059456083, 0.0423846073583307, -0.10282088533402925, -0.302972857792671, 0.36096312554485827, -0.011388733915715333, 0.29066812296409206, 0.020070860566324497, 0.10522063758717962, -0.01954394665333521, -0.053272793265845046, 0.0476052149238222, -0.14978867765875106, 0.15527918127909618, 0.25985979701740197, 0.12307711658124106, 0.3418333689536316, -0.3698241902762149, -0.17167865780058755, 0.16931638161438595, 0.1422227169779769, 0.08923150945724134, -0.08065234391714435, -0.24568016157227468, 0.13776127023465304, -0.15410734629342668, -0.16023724820711707, -0.07327332089554114, -0.026127073223736273, 0.044212336674422384, -0.2952004459248968, -0.0014423323256603207, 0.12836109697594342, 0.046299566166946686, -0.07232749671955783, -0.10936911778906024, 0.03335220904751535, 0.08613793338166482, 0.04988240507285459, 0.049718856892873906, 0.023896547999367655, -0.03693901174645647, -0.125047418861145, 0.3585914509435442, -0.07237538993737312, -0.22408136310257826, 0.17039281248777027, -0.10963000915944576, -0.14245186059410314, 0.12676742855818515, 0.18027315290465232, 0.193763365688543, -0.11895868890492403, 0.12363073640890106, -0.09132413478590638, 0.08148669949536358, 0.04438690650445151, 0.017284289159509074, 0.09908361499568066, 0.1516980299928102, 0.13387126178222608, 0.17415719240600894, -0.000797502404774528, -0.11756312130341666, -0.344815699540707, -0.1397449817965705, -0.18702774471883854, -0.0017082380826573774, -0.09736313994557327, -0.20810648558818431, 0.3929953648686319, 0.13995162338153067, 0.22421729969735965, 0.07169572634240949, 0.26264662506530084, 0.11195011459135293, 0.016990549862384796, 0.0795033101822777, 0.2133345399798786, 0.14869228935890258, 0.04971747378627938, -0.19930664023541542, 0.012509024664142495, 0.145686128894877] |
1,803.02053 | Beam energy dependence of squeeze-out effect on the directed and
elliptic flow in Au+Au collisions at high baryon density region | We present a detailed analysis of the beam energy dependence of the
mechanisms for the generation of directed and elliptic flows in Au+Au
collisions focusing on the role of hadronic rescattering and spectator
shadowing within a microscopic transport model JAM with different equation of
state. A systematic study of the beam energy dependence is performed for Au+Au
collisions at $\sqrt{s_{NN}} =2.3 - 62.4$ GeV. The transition of the dynamical
origin of the directed flow is observed. We find that the initial Glauber type
nucleon-nucleon collisions generate negative $v_1$ for nucleons at midrapidity
due to the presence of spectator matter, and this negative nucleon $v_1$ is
turned to be positive by the meson-baryon interactions at the beam energy
region of $\sqrt{s_{NN}} < 30$ GeV. In contrast, above 30 GeV there is no
spectator shadowing at midrapidity, and initial nucleon-nucleon collisions do
not generate directed flow, but subsequent rescatterings among produced
particles generate negative $v_1$ for nucleons. It is demonstrated that
negative pion-directed flows are mostly generated by the interaction with the
spectator matter. It is also shown that the squeeze-out effect is largely
suppressed in the case of softening, which leads to the enhancement of elliptic
flow around $\sqrt{s_{NN}}=5-7$ GeV. The elliptic flow at midrapidity above 10
GeV is not influenced by the squeeze-out due to spectator matter, while its
effect is seen at the forward rapidity range of $y/y_\mathrm{c.m.}>0.5$, which
decreases as beam energy increases.
| nucl-ex hep-ex hep-ph nucl-th | we present a detailed analysis of the beam energy dependence of the mechanisms for the generation of directed and elliptic flows in auau collisions focusing on the role of hadronic rescattering and spectator shadowing within a microscopic transport model jam with different equation of state a systematic study of the beam energy dependence is performed for auau collisions at sqrts_nn 23 624 gev the transition of the dynamical origin of the directed flow is observed we find that the initial glauber type nucleonnucleon collisions generate negative v_1 for nucleons at midrapidity due to the presence of spectator matter and this negative nucleon v_1 is turned to be positive by the mesonbaryon interactions at the beam energy region of sqrts_nn 30 gev in contrast above 30 gev there is no spectator shadowing at midrapidity and initial nucleonnucleon collisions do not generate directed flow but subsequent rescatterings among produced particles generate negative v_1 for nucleons it is demonstrated that negative piondirected flows are mostly generated by the interaction with the spectator matter it is also shown that the squeezeout effect is largely suppressed in the case of softening which leads to the enhancement of elliptic flow around sqrts_nn57 gev the elliptic flow at midrapidity above 10 gev is not influenced by the squeezeout due to spectator matter while its effect is seen at the forward rapidity range of yy_mathrmcm05 which decreases as beam energy increases | [['we', 'present', 'a', 'detailed', 'analysis', 'of', 'the', 'beam', 'energy', 'dependence', 'of', 'the', 'mechanisms', 'for', 'the', 'generation', 'of', 'directed', 'and', 'elliptic', 'flows', 'in', 'auau', 'collisions', 'focusing', 'on', 'the', 'role', 'of', 'hadronic', 'rescattering', 'and', 'spectator', 'shadowing', 'within', 'a', 'microscopic', 'transport', 'model', 'jam', 'with', 'different', 'equation', 'of', 'state', 'a', 'systematic', 'study', 'of', 'the', 'beam', 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1,803.02054 | Countable Markov Partitions Suitable for Thermodynamic Formalism | We study hyperbolic attractors of some dynamical systems with apriori given
countable Markov partitions. Assuming that contraction is stronger than
expansion we construct new Markov rectangles such that their crossections by
unstable manifolds are Cantor sets of positive Lebesgue measure. Using new
Markov partitions we develop thermodynamical formalism and prove exponential
decay of correlations and related properties for certain H\"older functions.
The results are based on the methods developed by Sarig.
| math.DS | we study hyperbolic attractors of some dynamical systems with apriori given countable markov partitions assuming that contraction is stronger than expansion we construct new markov rectangles such that their crossections by unstable manifolds are cantor sets of positive lebesgue measure using new markov partitions we develop thermodynamical formalism and prove exponential decay of correlations and related properties for certain holder functions the results are based on the methods developed by sarig | [['we', 'study', 'hyperbolic', 'attractors', 'of', 'some', 'dynamical', 'systems', 'with', 'apriori', 'given', 'countable', 'markov', 'partitions', 'assuming', 'that', 'contraction', 'is', 'stronger', 'than', 'expansion', 'we', 'construct', 'new', 'markov', 'rectangles', 'such', 'that', 'their', 'crossections', 'by', 'unstable', 'manifolds', 'are', 'cantor', 'sets', 'of', 'positive', 'lebesgue', 'measure', 'using', 'new', 'markov', 'partitions', 'we', 'develop', 'thermodynamical', 'formalism', 'and', 'prove', 'exponential', 'decay', 'of', 'correlations', 'and', 'related', 'properties', 'for', 'certain', 'holder', 'functions', 'the', 'results', 'are', 'based', 'on', 'the', 'methods', 'developed', 'by', 'sarig']] | [-0.12406573323926455, 0.1768610197919565, -0.10732873460986245, 0.16638467158682801, -0.07994376244941648, -0.1329236381808558, 0.03522022424633024, 0.36105778530030186, -0.2716519077780696, -0.15785298089195096, 0.1367610921053557, -0.2908803781979835, -0.1274250836872404, 0.19080957579574037, -0.0543243998045128, 0.13242731239436797, 0.0379956521251252, 0.008329821035633204, -0.07620598004579963, -0.23148376002750345, 0.42521567178339187, -0.032754852305310715, 0.2265752214859699, -0.0069506025781304066, 0.10856839496327537, -0.02456070017069578, -0.04830442626081722, 0.025176515035383717, -0.252632036766826, 0.11622840341206797, 0.18354674663171697, 0.16051445249796018, 0.2709003801385439, -0.37972033624602874, -0.18937802278030086, 0.18437876434288394, 0.13587445749993055, 0.01612172856874449, -0.031451406626729295, -0.3481825016648837, 0.10787301909335902, -0.13924787328644117, -0.14884994411841035, -0.17303288445978518, 0.005311667191153261, 0.11620226427978299, -0.26250192426918995, 0.042218832312230496, 0.11389716064129483, 0.10537208778731211, -0.09200180504261188, -0.10316919352413273, -0.021535168762620484, 0.06628294630159795, 0.0369422094286485, -0.01881463639274187, 0.10748497304231139, 0.03204568269544504, -0.17903360939571555, 0.295040878362324, -0.07784539010169962, -0.2676536094030024, 0.17476487036755073, -0.17394808239080536, -0.2330294902711897, 0.12357549248000896, 0.12793634337386195, 0.14335967080903725, -0.12471491510612549, 0.13001738473425398, -0.06434782889087907, 0.11627388843925486, 0.09505604076343523, 0.04988780418332194, 0.12630866077223557, 0.10825786306719545, 0.12781948918266825, 0.20489928438197033, 0.04350678331192426, -0.1466050803936808, -0.29656137665077836, -0.1205094695992749, -0.16625351680468925, 0.10243802003457513, -0.167417812508344, -0.2504300989053199, 0.32001024868968925, 0.11559624447893928, 0.16569188618532407, 0.17790666613137532, 0.1877110766010805, 0.1288340619714393, 0.006338434646391428, 0.09773994139328018, 0.13174023730622958, 0.18268683449771833, 0.001440761282935109, -0.12697837373215548, 0.08974987042175842, 0.20018934514242367] |
1,803.02055 | Multi-scale simulations of black hole accretion in barred galaxies:
Numerical methods and tests | Due to the non-axisymmetric potential of the central bar, barred spiral
galaxies form, in addition to their characteristic arms and bar, a variety of
structures within the thin gas disk, like nuclear rings, inner spirals and
dust-lanes. In this first of two papers, we present a method to accurately
simulate the gas flow within the galactic plane in the 2D finite volume
software package FOSITE, which solves the transport equations for mass,
momentum and energy, and apply it to this class of objects. To this extent, we
introduced a new transport scheme for angular momentum and a very efficient
pseudo-spectral Poisson solver. Moreover, we provide a simple and generally
applicable method of how to take care of gravity in the energy equation.
| astro-ph.GA physics.comp-ph | due to the nonaxisymmetric potential of the central bar barred spiral galaxies form in addition to their characteristic arms and bar a variety of structures within the thin gas disk like nuclear rings inner spirals and dustlanes in this first of two papers we present a method to accurately simulate the gas flow within the galactic plane in the 2d finite volume software package fosite which solves the transport equations for mass momentum and energy and apply it to this class of objects to this extent we introduced a new transport scheme for angular momentum and a very efficient pseudospectral poisson solver moreover we provide a simple and generally applicable method of how to take care of gravity in the energy equation | [['due', 'to', 'the', 'nonaxisymmetric', 'potential', 'of', 'the', 'central', 'bar', 'barred', 'spiral', 'galaxies', 'form', 'in', 'addition', 'to', 'their', 'characteristic', 'arms', 'and', 'bar', 'a', 'variety', 'of', 'structures', 'within', 'the', 'thin', 'gas', 'disk', 'like', 'nuclear', 'rings', 'inner', 'spirals', 'and', 'dustlanes', 'in', 'this', 'first', 'of', 'two', 'papers', 'we', 'present', 'a', 'method', 'to', 'accurately', 'simulate', 'the', 'gas', 'flow', 'within', 'the', 'galactic', 'plane', 'in', 'the', '2d', 'finite', 'volume', 'software', 'package', 'fosite', 'which', 'solves', 'the', 'transport', 'equations', 'for', 'mass', 'momentum', 'and', 'energy', 'and', 'apply', 'it', 'to', 'this', 'class', 'of', 'objects', 'to', 'this', 'extent', 'we', 'introduced', 'a', 'new', 'transport', 'scheme', 'for', 'angular', 'momentum', 'and', 'a', 'very', 'efficient', 'pseudospectral', 'poisson', 'solver', 'moreover', 'we', 'provide', 'a', 'simple', 'and', 'generally', 'applicable', 'method', 'of', 'how', 'to', 'take', 'care', 'of', 'gravity', 'in', 'the', 'energy', 'equation']] | [-0.094610162749925, 0.030882643599232488, -0.11300314373090432, 0.08646841448912597, -0.07721776350532189, -0.06559661402913534, -0.004949933989743187, 0.36591446615201384, -0.2707008912482045, -0.2890380541870971, 0.03654362168740327, -0.19865888903833434, -0.0877304283290147, 0.20143585180679013, -0.02388465444149434, 0.033349776001693296, 0.01578308446217359, -0.06846180178916797, -0.06584660546500082, -0.22483366531558518, 0.3406390433299763, 0.050478677927277796, 0.18003611171171685, 0.007612489712278335, 0.09108451441361391, -0.04457915951459369, -0.028549910769297564, 0.04118277091717671, -0.18526870317849492, 0.09893582586376073, 0.25421957446123694, 0.046517849022384025, 0.23919939436595733, -0.4351969096840413, -0.1793080057933434, 0.06371539110733458, 0.1729793802658019, 0.12096411414148117, -0.09034204175926683, -0.21480252732299576, 0.07694655676249199, -0.22424089872227582, -0.2005651949266018, -0.06370389736295978, 0.04582749806298328, 0.028465787333644126, -0.23126822488222748, 0.12089689109813083, 0.061610367487777366, 0.02694073460288038, -0.07063944920250946, -0.07429967441188157, -0.014929793963655213, 0.0693853240544823, 0.009682708923042991, 0.06979903836603746, 0.17550559768988175, -0.12105384099774433, -0.018730526476374958, 0.4256308459646015, -0.033293015970117294, -0.2071331867655693, 0.21228458001162887, -0.18685085240612961, -0.12041857941384035, 0.139393056708211, 0.24398827330163134, 0.12918331122895596, -0.1422145006878009, 0.0593071426005172, -0.05190547189698362, 0.12976256659454552, 0.045886457333926205, 0.006795347067873833, 0.23643594894660175, 0.1276838059906563, 0.061073497978754894, 0.11193661462498275, -0.13960487033771582, -0.11315927693566447, -0.25923292530019393, -0.18236810261429834, -0.11473150841587738, 0.026100229508482106, -0.05927069647519557, -0.16349437180906534, 0.4054220303603434, 0.12467344223005959, 0.19976601048472745, 0.015369127540125642, 0.33184168565718164, 0.0556705299637873, 0.1222839271307568, 0.14697952383805898, 0.2068519233533543, 0.17582135984658703, 0.11942912192934882, -0.27053540353355393, -0.014383101935906351, 0.04592387743047939] |
1,803.02056 | Imaginary quadratic number fields with class groups of small exponent | Let $D<0$ be a fundamental discriminant and denote by $E(D)$ the exponent of
the ideal class group $\text{Cl}(D)$ of $K={\mathbb Q}(\sqrt{D})$. Under the
assumption that no Siegel zeros exist we compute all such $D$ with $E(D)$ is a
divisor of $8$. We compute all $D$ with $|D|\leq 3.1\cdot 10^{20}$ such that
$E(D)\leq 8$.
| math.NT | let d0 be a fundamental discriminant and denote by ed the exponent of the ideal class group textcld of kmathbb qsqrtd under the assumption that no siegel zeros exist we compute all such d with ed is a divisor of 8 we compute all d with dleq 31cdot 1020 such that edleq 8 | [['let', 'd0', 'be', 'a', 'fundamental', 'discriminant', 'and', 'denote', 'by', 'ed', 'the', 'exponent', 'of', 'the', 'ideal', 'class', 'group', 'textcld', 'of', 'kmathbb', 'qsqrtd', 'under', 'the', 'assumption', 'that', 'no', 'siegel', 'zeros', 'exist', 'we', 'compute', 'all', 'such', 'd', 'with', 'ed', 'is', 'a', 'divisor', 'of', '8', 'we', 'compute', 'all', 'd', 'with', 'dleq', '31cdot', '1020', 'such', 'that', 'edleq', '8']] | [-0.214015108384192, 0.11797596460208297, -0.07137705953791737, 0.004324259136337787, -0.03401262386818416, -0.17921023512259127, 0.0066570165543816985, 0.2709650640003383, -0.25771069768816235, -0.2486859583109617, 0.09610430303611793, -0.33971362303942443, -0.15231519553810358, 0.17923978311009706, 0.012698672581464052, -0.0019743985682725905, -0.0014192581921815871, 0.10652107147499919, -0.08771044077351689, -0.30515793804079294, 0.32885433110408485, -0.11325129489880055, 0.15956881769001485, 0.05272613969980739, 0.058572540432214736, 0.04626252791844308, 0.0016562833823263645, -0.022295715194195508, -0.1850734025068232, 0.08966101033613086, 0.28912447922863066, 0.13298133529722692, 0.2131400863826275, -0.3486125744506717, -0.11272073870524764, 0.3040597104281187, 0.10653337250463664, -0.06668559791520239, 0.052165571246296165, -0.17159778967499734, 0.23378537375479935, -0.1550544610619545, -0.19557627947069706, -0.042559590581804516, 0.12903306263964623, -0.019066681711701675, -0.3266689544543624, 0.012828161101788282, 0.04929868198931217, 0.1782758303359151, -0.03757791119627654, -0.19704941652715205, -0.030706890448927878, 0.01430333798751235, 0.004376948340795934, 0.1214196113590151, 0.047967378962785, -0.07819071592297405, -0.1113043375313282, 0.36150926355272534, -0.0844500307366252, -0.2335546950623393, 0.14967112213373185, -0.21541113783139734, -0.13053958859294654, 0.12850824005901815, 0.0942139662662521, 0.13388902937993408, -0.014318062979727984, 0.26353889278951104, -0.14737146717496216, 0.1383874924853444, 0.13095103325322272, -0.011316462636459619, 0.10523456628201529, 0.05472973302938044, 0.056505977641791105, 0.06406520267715678, -0.07414408057928085, 0.047228552092565226, -0.37557088062167165, -0.18819897547364234, -0.20567689090967178, 0.20100203616544604, -0.14480337599728954, -0.10509885078296065, 0.34460357720032336, 0.07522716404870153, 0.20953645276837052, 0.11834272246807814, 0.13049873135983944, 0.08153986179269851, 0.03563973132520914, 0.2046798077505082, 0.11669467287138105, 0.14196228102315217, -0.1122905313782394, -0.19252664223196916, -0.007695699008181691, 0.10562519561499358] |
1,803.02057 | The Earth ain't Flat: Monocular Reconstruction of Vehicles on Steep and
Graded Roads from a Moving Camera | Accurate localization of other traffic participants is a vital task in
autonomous driving systems. State-of-the-art systems employ a combination of
sensing modalities such as RGB cameras and LiDARs for localizing traffic
participants, but most such demonstrations have been confined to plain roads.
We demonstrate, to the best of our knowledge, the first results for monocular
object localization and shape estimation on surfaces that do not share the same
plane with the moving monocular camera. We approximate road surfaces by local
planar patches and use semantic cues from vehicles in the scene to initialize a
local bundle-adjustment like procedure that simultaneously estimates the pose
and shape of the vehicles, and the orientation of the local ground plane on
which the vehicle stands as well. We evaluate the proposed approach on the
KITTI and SYNTHIA-SF benchmarks, for a variety of road plane configurations.
The proposed approach significantly improves the state-of-the-art for monocular
object localization on arbitrarily-shaped roads.
| cs.RO cs.CV cs.LG | accurate localization of other traffic participants is a vital task in autonomous driving systems stateoftheart systems employ a combination of sensing modalities such as rgb cameras and lidars for localizing traffic participants but most such demonstrations have been confined to plain roads we demonstrate to the best of our knowledge the first results for monocular object localization and shape estimation on surfaces that do not share the same plane with the moving monocular camera we approximate road surfaces by local planar patches and use semantic cues from vehicles in the scene to initialize a local bundleadjustment like procedure that simultaneously estimates the pose and shape of the vehicles and the orientation of the local ground plane on which the vehicle stands as well we evaluate the proposed approach on the kitti and synthiasf benchmarks for a variety of road plane configurations the proposed approach significantly improves the stateoftheart for monocular object localization on arbitrarilyshaped roads | [['accurate', 'localization', 'of', 'other', 'traffic', 'participants', 'is', 'a', 'vital', 'task', 'in', 'autonomous', 'driving', 'systems', 'stateoftheart', 'systems', 'employ', 'a', 'combination', 'of', 'sensing', 'modalities', 'such', 'as', 'rgb', 'cameras', 'and', 'lidars', 'for', 'localizing', 'traffic', 'participants', 'but', 'most', 'such', 'demonstrations', 'have', 'been', 'confined', 'to', 'plain', 'roads', 'we', 'demonstrate', 'to', 'the', 'best', 'of', 'our', 'knowledge', 'the', 'first', 'results', 'for', 'monocular', 'object', 'localization', 'and', 'shape', 'estimation', 'on', 'surfaces', 'that', 'do', 'not', 'share', 'the', 'same', 'plane', 'with', 'the', 'moving', 'monocular', 'camera', 'we', 'approximate', 'road', 'surfaces', 'by', 'local', 'planar', 'patches', 'and', 'use', 'semantic', 'cues', 'from', 'vehicles', 'in', 'the', 'scene', 'to', 'initialize', 'a', 'local', 'bundleadjustment', 'like', 'procedure', 'that', 'simultaneously', 'estimates', 'the', 'pose', 'and', 'shape', 'of', 'the', 'vehicles', 'and', 'the', 'orientation', 'of', 'the', 'local', 'ground', 'plane', 'on', 'which', 'the', 'vehicle', 'stands', 'as', 'well', 'we', 'evaluate', 'the', 'proposed', 'approach', 'on', 'the', 'kitti', 'and', 'synthiasf', 'benchmarks', 'for', 'a', 'variety', 'of', 'road', 'plane', 'configurations', 'the', 'proposed', 'approach', 'significantly', 'improves', 'the', 'stateoftheart', 'for', 'monocular', 'object', 'localization', 'on', 'arbitrarilyshaped', 'roads']] | [-0.09195367734631207, -0.003772312034152789, -0.06400423004973704, 0.00614281882702379, -0.08977190078939219, -0.14328112417612882, 0.01451680182347689, 0.45311207450877605, -0.2069506744703497, -0.3656537919700925, 0.07996887350272314, -0.2899360142136906, -0.1670501281726448, 0.23157548149697654, -0.1797380494349484, 0.1259526698918575, 0.1427223755707173, 0.061963583220989486, -0.03279108098355043, -0.22383340291094547, 0.28064853364139114, -0.042554837697203834, 0.3399702463469474, 0.040421323089866464, 0.15816775994570134, 0.0576440195090387, -0.004134374968951044, 0.008956331224028582, -0.055423602842732664, 0.177311192352623, 0.2807486756564745, 0.1296440433220804, 0.1942218351067543, -0.4481997208706304, -0.254767549875515, 0.06795781820683795, 0.147819361357274, 0.11064970646482691, -0.011660230339936961, -0.42018208567515697, 0.08005173215368654, -0.14321154477744322, -0.0653639528261242, -0.06510681484588514, 0.005136711547285124, 0.049743947670399365, -0.25079393617236634, 0.002540945119583626, 0.04187390007675181, 0.09346487571247945, -0.09204208417156455, -0.06636588761789931, 0.0033205683690075783, 0.2823535213277377, 0.011456017574185835, 0.047524941832533266, 0.19624304096366652, -0.24072411548633704, -0.12466284647291782, 0.4193669255956813, -0.02801095235946716, -0.21292791677200618, 0.2317273391690714, -0.06283591460327015, -0.10778126890582392, 0.10010053852749562, 0.21511657635857856, 0.1710260206745219, -0.13419260998907823, -0.0022908487141108007, -0.07321357843922634, 0.15012757771106716, 0.06439312854918706, -0.01845936525576547, 0.1848268593247566, 0.21624186822499325, 0.17358098998878857, 0.06748015277758788, -0.2131453004690021, -0.0681963009224121, -0.21074673438329078, -0.11841144161121965, -0.20251446201396023, -0.06493433262820712, -0.08516338826069651, -0.14516516615867955, 0.3978663938351316, 0.25193029921501875, 0.2062837976256227, 0.07119600652348786, 0.40700138545309017, 0.0008492932245561403, 0.08593721051389973, 0.07752188525103289, 0.21101829993578125, -0.02120374593110694, 0.12883157197239936, -0.1868501818119518, 0.08111927599883546, 0.09557532756041516] |
1,803.02058 | First-order optical spatial differentiator based on a guided-mode
resonant grating | We present an experimental demonstration of a subwavelength diffraction
grating performing first-order differentiation of the transverse profile of an
incident optical beam with respect to a spatial variable. The experimental
results are in a good agreement with the presented analytical model suggesting
that the differentiation is performed in transmission at oblique incidence and
is associated with the guided-mode resonance of the grating. According to this
model, the transfer function of the grating in the vicinity of the resonance is
close to the transfer function of an exact differentiator. We confirm this by
estimating the transfer function of the fabricated structure on the basis of
the measured profiles of the incident and transmitted beams. The considered
structure may find application in the design of new photonic devices for beam
shaping, optical information processing, and analog optical computing.
| physics.optics | we present an experimental demonstration of a subwavelength diffraction grating performing firstorder differentiation of the transverse profile of an incident optical beam with respect to a spatial variable the experimental results are in a good agreement with the presented analytical model suggesting that the differentiation is performed in transmission at oblique incidence and is associated with the guidedmode resonance of the grating according to this model the transfer function of the grating in the vicinity of the resonance is close to the transfer function of an exact differentiator we confirm this by estimating the transfer function of the fabricated structure on the basis of the measured profiles of the incident and transmitted beams the considered structure may find application in the design of new photonic devices for beam shaping optical information processing and analog optical computing | [['we', 'present', 'an', 'experimental', 'demonstration', 'of', 'a', 'subwavelength', 'diffraction', 'grating', 'performing', 'firstorder', 'differentiation', 'of', 'the', 'transverse', 'profile', 'of', 'an', 'incident', 'optical', 'beam', 'with', 'respect', 'to', 'a', 'spatial', 'variable', 'the', 'experimental', 'results', 'are', 'in', 'a', 'good', 'agreement', 'with', 'the', 'presented', 'analytical', 'model', 'suggesting', 'that', 'the', 'differentiation', 'is', 'performed', 'in', 'transmission', 'at', 'oblique', 'incidence', 'and', 'is', 'associated', 'with', 'the', 'guidedmode', 'resonance', 'of', 'the', 'grating', 'according', 'to', 'this', 'model', 'the', 'transfer', 'function', 'of', 'the', 'grating', 'in', 'the', 'vicinity', 'of', 'the', 'resonance', 'is', 'close', 'to', 'the', 'transfer', 'function', 'of', 'an', 'exact', 'differentiator', 'we', 'confirm', 'this', 'by', 'estimating', 'the', 'transfer', 'function', 'of', 'the', 'fabricated', 'structure', 'on', 'the', 'basis', 'of', 'the', 'measured', 'profiles', 'of', 'the', 'incident', 'and', 'transmitted', 'beams', 'the', 'considered', 'structure', 'may', 'find', 'application', 'in', 'the', 'design', 'of', 'new', 'photonic', 'devices', 'for', 'beam', 'shaping', 'optical', 'information', 'processing', 'and', 'analog', 'optical', 'computing']] | [-0.14073118806289345, 0.07020945192658366, -0.08887655020568191, -0.0036401572861530654, -0.03655343934866216, -0.10515819874468862, 0.024031921551795676, 0.4568544893837123, -0.2530569372123436, -0.3104365765761673, 0.0685011789045187, -0.2775250580641167, -0.1333226433420992, 0.21606215611031718, 0.0064455113469568245, 0.10432329185877119, 0.03943567736389335, -0.0012170345118433675, -0.05744806399161462, -0.12649285646758096, 0.2943046465293532, 0.10463285215048339, 0.32168929887634207, 0.04632287163643495, 0.1107321506989298, 0.07222023963293074, -0.015391926558496541, -0.05562881494899878, -0.11048201840185357, 0.15719900453490587, 0.21031170879381106, 0.05763501595099703, 0.2095210972303689, -0.4146040980841088, -0.21763460565467968, 0.013733947899548666, 0.16136878977789926, 0.10704957600682974, -0.10283640040485326, -0.24496070955373236, 0.04240915691137642, -0.1313377658576321, -0.15274248297678508, -0.017893399372149038, -0.02903058030642569, 0.05528867797350839, -0.29162450031093184, 0.017034638402572667, -0.0064264905522577465, 0.07926986563731642, -0.08981972307051098, -0.07758522040881764, -0.030974709117264652, 0.08500027234720833, -0.03185182384571389, 0.025042457289493864, 0.11609383755336132, -0.13440438533914, -0.10915513222297545, 0.3687117833520888, -0.041672089717501554, -0.16238544944345074, 0.1286851965885623, -0.20671535655684933, -0.003255316908882164, 0.15660084327100776, 0.17682475335759057, 0.09753063841558554, -0.10093269697298478, -0.01099115553070613, -0.030802023713476956, 0.20166579640799148, 0.10203011714175399, 0.04317388998173127, 0.20427762957543188, 0.19106501578404705, 0.020370603556169525, 0.1788467255922596, -0.13305227171718692, -0.03929077665773494, -0.30283832879435707, -0.1465905954614487, -0.1935613595688825, -0.0021219275967108413, -0.08323922545123959, -0.15830551583306207, 0.41403671987491714, 0.12714535780062708, 0.20632417067570394, -0.009892098550849101, 0.33761087855707633, 0.17893134593717097, 0.07988495266181417, -0.0013550364186384661, 0.28431067313067615, 0.16841388454742948, 0.12956003009629272, -0.2786769849498181, 0.06161398031091427, -0.03804419705000542] |
1,803.02059 | Ergodicity properties of $p$ -adic $(2,1)$-rational dynamical systems
with unique fixed point | We consider a family of $(2,1)$-rational functions given on the set of
$p$-adic field $Q_p$. Each such function has a unique fixed point. We study
ergodicity properties of the dynamical systems generated by $(2,1)$-rational
functions. For each such function we describe all possible invariant spheres.
We characterize ergodicity of each $p$-adic dynamical system with respect to
Haar measure reduced on each invariant sphere. In particular, we found an
invariant spheres on which the dynamical system is ergodic and on all other
invariant spheres the dynamical systems are not ergodic.
| math.DS | we consider a family of 21rational functions given on the set of padic field q_p each such function has a unique fixed point we study ergodicity properties of the dynamical systems generated by 21rational functions for each such function we describe all possible invariant spheres we characterize ergodicity of each padic dynamical system with respect to haar measure reduced on each invariant sphere in particular we found an invariant spheres on which the dynamical system is ergodic and on all other invariant spheres the dynamical systems are not ergodic | [['we', 'consider', 'a', 'family', 'of', '21rational', 'functions', 'given', 'on', 'the', 'set', 'of', 'padic', 'field', 'q_p', 'each', 'such', 'function', 'has', 'a', 'unique', 'fixed', 'point', 'we', 'study', 'ergodicity', 'properties', 'of', 'the', 'dynamical', 'systems', 'generated', 'by', '21rational', 'functions', 'for', 'each', 'such', 'function', 'we', 'describe', 'all', 'possible', 'invariant', 'spheres', 'we', 'characterize', 'ergodicity', 'of', 'each', 'padic', 'dynamical', 'system', 'with', 'respect', 'to', 'haar', 'measure', 'reduced', 'on', 'each', 'invariant', 'sphere', 'in', 'particular', 'we', 'found', 'an', 'invariant', 'spheres', 'on', 'which', 'the', 'dynamical', 'system', 'is', 'ergodic', 'and', 'on', 'all', 'other', 'invariant', 'spheres', 'the', 'dynamical', 'systems', 'are', 'not', 'ergodic']] | [-0.2085723312090287, 0.12433453440666853, -0.1288712021549431, 0.07403329451793407, -0.0006083403007661024, -0.10864021588807528, -0.0028534313726626087, 0.3642751320024555, -0.3073191884591171, -0.1663881861114236, 0.09845636016754643, -0.2850983235357183, -0.17638263100590768, 0.18481899093669119, -0.07844600377583437, 0.13959169857664389, -0.003089309356102113, 0.1234439225563926, -0.11641523558345591, -0.238019185247988, 0.4117139383648219, -0.055454268052211306, 0.20509684905200526, 0.0014740897949491994, 0.1582790758418903, 0.06781556530007987, -0.009072433759489755, 0.0015766962190692344, -0.21030516353216064, 0.05716755759138405, 0.18303405861056338, 0.07865464990812071, 0.2254301053210256, -0.3045720363433441, -0.18192455253113857, 0.2046738974436113, 0.10035045037380932, 0.007866214462451303, -0.017216622552133343, -0.2834212784079856, 0.13756484250810122, -0.15873600356280804, -0.152206140727307, -0.1223154172112935, 0.024359584551859187, 0.08845837340752981, -0.23432283861604467, -0.011401435548669837, 0.0712670386400011, 0.13357102523526448, -0.10453331359175526, -0.0697466006183348, -0.015044452714095458, 0.13997814494572328, 0.023724375654985145, 0.05024693968831404, 0.19056683861430776, -0.03784229271270837, -0.11372509493042579, 0.40588382327225414, -0.10381434464387679, -0.2835389025184964, 0.24983339477330446, -0.195227222700258, -0.21381308745823047, 0.11402364867854486, 0.17459469814418574, 0.11807961154498914, -0.139441500271388, 0.1362080827683702, -0.1233611824514156, 0.14850508326597858, 0.030615364580697725, 0.06057885158388467, 0.21251618979352244, 0.0785987053270546, 0.14204138442560027, 0.17400773988285867, 0.02209386266663336, -0.11859787465661785, -0.2980137189975783, -0.16983031446972255, -0.1917698789660013, 0.08740818589743295, -0.09534031572065635, -0.20056736818776372, 0.3851349499557963, 0.08684288293876674, 0.20540002023989565, 0.10058649788019404, 0.20940162399469803, 0.16830600485394662, 0.0255780678067168, 0.06234435369312931, 0.11186226022042585, 0.11723369246170845, -0.03250680293029781, -0.17341864950892127, -0.014820490063827359, 0.13805202299498776] |
1,803.0206 | A Dynamical Approach to the Perron-Frobenius Theory and Generalized
Krein-Rutman Type Theorems | We present a dynamical approach to the classical Perron-Frobenius theory by
using some elementary knowledge on linear ODEs. It is completely self-contained
and significantly different from those in the literature. As a result, we
develop a complex version of the Perron-Frobenius theory and prove some
generalized Krein-Rutman type theorems.
| math.FA | we present a dynamical approach to the classical perronfrobenius theory by using some elementary knowledge on linear odes it is completely selfcontained and significantly different from those in the literature as a result we develop a complex version of the perronfrobenius theory and prove some generalized kreinrutman type theorems | [['we', 'present', 'a', 'dynamical', 'approach', 'to', 'the', 'classical', 'perronfrobenius', 'theory', 'by', 'using', 'some', 'elementary', 'knowledge', 'on', 'linear', 'odes', 'it', 'is', 'completely', 'selfcontained', 'and', 'significantly', 'different', 'from', 'those', 'in', 'the', 'literature', 'as', 'a', 'result', 'we', 'develop', 'a', 'complex', 'version', 'of', 'the', 'perronfrobenius', 'theory', 'and', 'prove', 'some', 'generalized', 'kreinrutman', 'type', 'theorems']] | [-0.050696692163390775, 0.06398569826720929, -0.15668310988124232, 0.13811797971067455, -0.10801794163274522, -0.13440909474489413, 0.022627578734667326, 0.27102246515604916, -0.31443697913568847, -0.24214445005113983, 0.15404158138803073, -0.24325878615966257, -0.25461626516735864, 0.20433116734636073, -0.09830917313466875, 0.0375769706633018, 0.0457717874372492, 0.06172461807727814, -0.083721707993168, -0.20658699282426007, 0.35991856343664075, -0.05316914016694515, 0.2051583479671758, 0.028157007718952944, 0.07413169685561134, 0.05729990638792515, -0.06890422204623417, 0.01726882957986423, -0.17073530623005057, 0.14271530075169794, 0.27622887980173894, 0.13620442812026914, 0.29094827804258283, -0.4118172167135136, -0.21025311859438614, 0.060453823092868744, 0.08610926195979118, 0.16818330540055676, -0.04400423305745864, -0.2787782713314708, 0.10478261474291889, -0.20022819427849384, -0.17750732472394498, -0.11366224414383878, -0.05698026275756408, 0.037771261335179517, -0.2139931227441649, 0.07538081047942444, 0.1701230118686704, 0.08020371501809176, -0.06301921906367856, -0.11628408125620715, 0.05756508204515795, 0.03852903222361086, -0.01183899158459841, -0.017470211950035727, 0.09275693760956732, -0.040793996114207774, -0.13931124170823972, 0.32943479009732907, -0.07073979739489376, -0.2565210355559782, 0.20896310760278483, -0.0871337363211324, -0.20379144620929598, 0.0661458064022721, 0.11635927338989413, 0.16198147685095973, -0.1696405294066181, 0.13774707596701552, -0.09026097768575561, 0.14552634099156272, 0.033522687054106166, 0.02944974575609881, 0.10385417995252172, 0.09692953159196341, 0.06056909702186074, 0.12154111464754963, 0.0696216130828751, -0.15116869997499244, -0.3231292670326574, -0.11520145795479113, -0.15696819734341483, 0.13654666272353153, -0.10826114259068664, -0.15959719251081042, 0.3866294470748731, 0.12880089386646654, 0.15172536802307077, 0.1460215672470477, 0.27971141922230625, 0.1499703934734535, 0.010105016128141053, 0.05805250334230309, 0.18960326531431543, 0.24202459604403345, 0.11337660368037772, -0.13369569247018318, -0.012577111937333735, 0.23698596251482257] |
1,803.02061 | Schr\"{o}dinger Equations on normal real form Symmetric Spaces | We prove dispersive and Strichartz estimates for Schr\"{o}dinger equations on
normal real form symmetric spaces. These estimates apply to the well-posedness
and scattering for the nonlinear Schr\"{o}dinger equations.
| math.AP | we prove dispersive and strichartz estimates for schrodinger equations on normal real form symmetric spaces these estimates apply to the wellposedness and scattering for the nonlinear schrodinger equations | [['we', 'prove', 'dispersive', 'and', 'strichartz', 'estimates', 'for', 'schrodinger', 'equations', 'on', 'normal', 'real', 'form', 'symmetric', 'spaces', 'these', 'estimates', 'apply', 'to', 'the', 'wellposedness', 'and', 'scattering', 'for', 'the', 'nonlinear', 'schrodinger', 'equations']] | [-0.0828766703738698, 0.032449836343792934, -0.04880947353584426, 0.16976650874961965, -0.1550155857777489, -0.1255880389695189, -0.10529459387596164, 0.31223925575613976, -0.27122080844960045, -0.11438887927215546, 0.16712067853326776, -0.3819949387772275, -0.15232737844676844, 0.26033825394032256, 0.017162571528128216, 0.15295866171696357, 0.07354564331970843, -0.042114926635154655, -0.17221383100175963, -0.24127645644226245, 0.45328574334936483, -0.18743643761679, 0.21633282090936387, 0.0047359939531556195, 0.1035178224556148, 0.08886724141692477, -0.011277519964746066, -0.11321275012700685, -0.22718323042084063, 0.1352025078875678, 0.22836022371692316, -0.02289913547325081, 0.2639411420428327, -0.49217374436557293, -0.2582779180125466, 0.10829565600891199, 0.1550219664350152, 0.1338050883995103, -0.06807975207837964, -0.44275372555213316, -0.012324753965783333, -0.02336645871400833, -0.2855183510109782, -0.15782083386355744, 0.02584090642631054, 0.1230442274494895, -0.36762987955340315, 0.20141283559080744, 0.062375228120280166, -0.052553005483267565, -0.3242146249062249, -0.02900753416387098, 0.004246001048678798, 0.002202147218797888, -0.023636819212697446, -0.10116709359655422, -0.047322385974569316, -0.08364323183195665, -0.04046603644798909, 0.34317581209221054, -0.11306786583736539, -0.32775680707501514, 0.09993235926542963, -0.15715389645525388, -0.06981892424768635, 0.06482427530655903, 0.2665578434243798, 0.1445093596620219, -0.12520530455679232, 0.1495019790142708, -0.06281341826875828, 0.11479256097144182, 0.1319395837906216, 0.02152035984077624, -0.0734128890159939, 0.08008685441953796, 0.18549251799205585, 0.02955501970635461, 0.01240487101521077, -0.08942974771863581, -0.389226640441588, -0.13034204875917307, -0.1309928238125784, 0.18533137560422933, -0.16175821237162122, -0.21695705529834544, 0.32699157552893404, 0.1511650588363409, 0.08269553392061166, 0.1522007280894156, 0.2081991448732359, 0.28384416912948446, -0.02270617342687079, 0.10270454357045569, 0.21137906830491765, 0.2794346747520779, 0.1789177102868312, -0.2365516618426357, -0.04413337553186076, 0.26319371153866605] |
1,803.02062 | Intelligent Identification of Two-Dimensional Structure by
Machine-Learning Optical Microscopy | Two-dimensional (2D) materials and their heterostructures, with wafer-scale
synthesis methods and fascinating properties, have attracted numerous interest
and triggered revolutions of corresponding device applications. However, facile
methods to realize accurate, intelligent and large-area characterizations of
these 2D structures are still highly desired. Here, we report a successful
application of machine-learning strategy in the optical identification of 2D
structure. The machine-learning optical identification method (MOI method)
endows optical microscopy with intelligent insight into the characteristic
colour information in the optical photograph. Experimental results indicate
that the MOI method enables accurate, intelligent and large-area
characterizations of graphene, molybdenum disulphide (MoS2) and their
heterostructures, including identifications of the thickness, the existence of
impurities, and even the stacking order. Thanks to the convergence of
artificial intelligence and nanoscience, this intelligent identification method
can certainly promote the fundamental research and wafer-scale device
application of 2D structures.
| cond-mat.mtrl-sci | twodimensional 2d materials and their heterostructures with waferscale synthesis methods and fascinating properties have attracted numerous interest and triggered revolutions of corresponding device applications however facile methods to realize accurate intelligent and largearea characterizations of these 2d structures are still highly desired here we report a successful application of machinelearning strategy in the optical identification of 2d structure the machinelearning optical identification method moi method endows optical microscopy with intelligent insight into the characteristic colour information in the optical photograph experimental results indicate that the moi method enables accurate intelligent and largearea characterizations of graphene molybdenum disulphide mos2 and their heterostructures including identifications of the thickness the existence of impurities and even the stacking order thanks to the convergence of artificial intelligence and nanoscience this intelligent identification method can certainly promote the fundamental research and waferscale device application of 2d structures | [['twodimensional', '2d', 'materials', 'and', 'their', 'heterostructures', 'with', 'waferscale', 'synthesis', 'methods', 'and', 'fascinating', 'properties', 'have', 'attracted', 'numerous', 'interest', 'and', 'triggered', 'revolutions', 'of', 'corresponding', 'device', 'applications', 'however', 'facile', 'methods', 'to', 'realize', 'accurate', 'intelligent', 'and', 'largearea', 'characterizations', 'of', 'these', '2d', 'structures', 'are', 'still', 'highly', 'desired', 'here', 'we', 'report', 'a', 'successful', 'application', 'of', 'machinelearning', 'strategy', 'in', 'the', 'optical', 'identification', 'of', '2d', 'structure', 'the', 'machinelearning', 'optical', 'identification', 'method', 'moi', 'method', 'endows', 'optical', 'microscopy', 'with', 'intelligent', 'insight', 'into', 'the', 'characteristic', 'colour', 'information', 'in', 'the', 'optical', 'photograph', 'experimental', 'results', 'indicate', 'that', 'the', 'moi', 'method', 'enables', 'accurate', 'intelligent', 'and', 'largearea', 'characterizations', 'of', 'graphene', 'molybdenum', 'disulphide', 'mos2', 'and', 'their', 'heterostructures', 'including', 'identifications', 'of', 'the', 'thickness', 'the', 'existence', 'of', 'impurities', 'and', 'even', 'the', 'stacking', 'order', 'thanks', 'to', 'the', 'convergence', 'of', 'artificial', 'intelligence', 'and', 'nanoscience', 'this', 'intelligent', 'identification', 'method', 'can', 'certainly', 'promote', 'the', 'fundamental', 'research', 'and', 'waferscale', 'device', 'application', 'of', '2d', 'structures']] | [-0.08124632506254822, 0.04894977918634495, -0.05946910528611418, -0.03742696775258882, -0.09174980518758191, -0.18295321687527583, 0.037429850323518726, 0.48792313209715044, -0.2543309896471018, -0.3443484863807969, 0.07529195312555906, -0.2749991003417324, -0.24658161246445665, 0.2860382731990717, -0.03521486315942297, 0.11884138209362191, 0.060646086544828844, -0.11239879134817855, -0.06486129466483885, -0.21832699398592723, 0.2091633504890698, 0.02919378117922403, 0.3956108228369543, 0.06569582434347995, 0.0825687230676941, 0.006913294467776981, -0.005781637925773542, -0.01701910657715713, -0.1556845244240773, 0.23467334867364245, 0.2672215168569105, 0.008871341216648725, 0.2868616733657104, -0.45759568149752333, -0.21195379085178281, 0.013971081571587433, 0.16668907557581122, 0.14670335355459163, -0.1643147871281344, -0.2892143228487607, 0.08192570764300618, -0.12637979204680586, -0.1474648621131448, -0.16295172827952403, -0.007013603883088692, 0.04509702020494848, -0.2033885479694173, 0.018817448352813616, 0.03977351500949961, 0.10173589228289136, -0.13330137102157935, -0.124111974856268, -0.03980509759296815, 0.13169214698479426, -0.03445582887065326, -0.004137149917008025, 0.20081954297827595, -0.18601698577503098, -0.1429638912676708, 0.39619638036659105, 0.030397674439521176, -0.09936834227872504, 0.2398042619651091, -0.0912839338341926, -0.11634330181669153, 0.1417512413335581, 0.1942727159847446, 0.1274452529689099, -0.14296581320083165, 0.03724608451073514, 0.02153992944179063, 0.15438619896716682, 0.037853093064845876, 0.14637968036369256, 0.27121303156876925, 0.25848184029921784, 0.05010720103601793, 0.09059681816204906, -0.10796690683032498, 0.020875400077578023, -0.13569283361236253, -0.23016085788250096, -0.1782611507711047, 0.06385961105611096, -0.062153306592264916, -0.21957593891069505, 0.41568280942077546, 0.2073570859836454, 0.10807096511984231, -0.07342211664811187, 0.3276564202912099, 0.0011835887281765752, 0.10098497521343595, -0.056068555904380604, 0.24903578953223027, 0.14147949144772604, 0.1432130446274441, -0.1674934352784424, 0.08445483682914934, 0.02170140510557074] |
1,803.02063 | Connection between zero-energy Yu-Shiba-Rusinov states and 0-$\pi$
transitions in magnetic Josephson junctions | We study the bound state spectrum and 0-$\pi$ transitions in ballistic
quasi-1D superconductor/ferromagnetic insulator/superconductor (S/FI/S)
Josephson junctions. In addition to the Andreev bound states, stemming from the
phase coherence, the magnetic barrier gives rise to qualitatively different
Yu-Shiba-Rusinov (YSR) bound states with genuine spectral features and spin
characteristics. We show that zero-energy YSR states are much more robust
against scalar tunneling than their Andreev counterparts and also fingerprint a
quantum phase transition from the junctions' 0 into the $\pi$ phase, connected
to a measurable reversal of the Josephson current flow; this coincidence
persists also in the presence of Rashba spin-orbit coupling.
| cond-mat.supr-con | we study the bound state spectrum and 0pi transitions in ballistic quasi1d superconductorferromagnetic insulatorsuperconductor sfis josephson junctions in addition to the andreev bound states stemming from the phase coherence the magnetic barrier gives rise to qualitatively different yushibarusinov ysr bound states with genuine spectral features and spin characteristics we show that zeroenergy ysr states are much more robust against scalar tunneling than their andreev counterparts and also fingerprint a quantum phase transition from the junctions 0 into the pi phase connected to a measurable reversal of the josephson current flow this coincidence persists also in the presence of rashba spinorbit coupling | [['we', 'study', 'the', 'bound', 'state', 'spectrum', 'and', '0pi', 'transitions', 'in', 'ballistic', 'quasi1d', 'superconductorferromagnetic', 'insulatorsuperconductor', 'sfis', 'josephson', 'junctions', 'in', 'addition', 'to', 'the', 'andreev', 'bound', 'states', 'stemming', 'from', 'the', 'phase', 'coherence', 'the', 'magnetic', 'barrier', 'gives', 'rise', 'to', 'qualitatively', 'different', 'yushibarusinov', 'ysr', 'bound', 'states', 'with', 'genuine', 'spectral', 'features', 'and', 'spin', 'characteristics', 'we', 'show', 'that', 'zeroenergy', 'ysr', 'states', 'are', 'much', 'more', 'robust', 'against', 'scalar', 'tunneling', 'than', 'their', 'andreev', 'counterparts', 'and', 'also', 'fingerprint', 'a', 'quantum', 'phase', 'transition', 'from', 'the', 'junctions', '0', 'into', 'the', 'pi', 'phase', 'connected', 'to', 'a', 'measurable', 'reversal', 'of', 'the', 'josephson', 'current', 'flow', 'this', 'coincidence', 'persists', 'also', 'in', 'the', 'presence', 'of', 'rashba', 'spinorbit', 'coupling']] | [-0.28935305989407334, 0.22899564312273027, -0.08866152650501469, 0.08452369313627149, -0.032909017093110796, -0.21989553151560007, 0.10615884583434182, 0.3477020917810721, -0.2203407670823064, -0.2699040356922046, -0.08578718193497804, -0.33925122293726645, -0.12737131977481492, 0.1728825939975974, 0.03988520198012933, 0.020113763251885918, -0.01056592017043345, -0.02642351274590681, -0.09524184765206595, -0.1291812963202817, 0.3323397293760635, -0.06985850840700919, 0.3462692237514449, 0.11612473994880768, -0.05582994941880207, -0.07542212101132932, 0.19322838767957273, -0.03640952950693888, -0.17603882317499564, -0.0046481695711972325, 0.250771436960169, -0.12864711931399483, 0.09342230579528801, -0.4876579005354186, -0.15337231813118526, 0.07296538101924159, 0.18725260550681833, 0.20995831753745084, -0.007882000517248784, -0.4292368007879151, 0.01643522617425585, -0.1588930930886971, -0.06820610991799005, -0.08085275406368297, -0.002021641645691182, -0.08232307470274518, -0.20555575603231935, 0.11251427126197734, 0.085225998963423, 0.013220391162477507, -0.04982047913927991, -0.07868582553386984, -0.08846259656555877, 0.054334909221766016, 0.004248303350863406, 0.010318189958516176, 0.11644101798728035, -0.15730022714936664, -0.15490245602513192, 0.2535203652465624, -0.09961734601313198, -0.09985506135630617, 0.16813783800819576, -0.18720957596260723, -0.047732881182749376, 0.17426530380576555, 0.08090369130420212, 0.07948751316986757, -0.09774125693826982, 0.056788998382225966, -0.003599963344559811, 0.14796820287892393, 0.07809335271837098, 0.19295940490550187, 0.25321386474193913, 0.13795705970450498, 0.11838949272538175, 0.17313370375091783, -0.15620834873712594, -0.10273564804926294, -0.27107334367956537, -0.14997504456925417, -0.22543679518477605, 0.1175431722387819, -0.013855878134185476, -0.21301913118026783, 0.45112249856390574, 0.15148017253948026, 0.21890272995982074, -0.019695033715798123, 0.2728147153410655, 0.1674949774762966, 0.022073454461014358, 0.03706597024113825, 0.21512064287936924, 0.20789617503587488, 0.08638296429399807, -0.3713535680620018, 0.059244085914722765, -0.030934097153125423] |
1,803.02064 | Comparative study on magnetoresistance of carbon-cobalt nanocomposite
thin films grown by pulsed laser deposition | We present a comparative study on the influence of applied magnetic field on
the resistance of $C_{1-x}Co_x$ thin films (with $x=0.1$, $0.15$ and $0.2$)
grown on $Si$ substrate by pulsed laser deposition technique. It is found that
the behavior of magnetoresistance (MR) drastically depends on the temperature.
Namely, at low temperatures MR is positive and its behavior is governed by the
field mediated weak localization scenario. While at high temperatures MR turns
negative and its behavior is dominated by electron scattering on ferromagnetic
cobalt atoms.
| cond-mat.mtrl-sci | we present a comparative study on the influence of applied magnetic field on the resistance of c_1xco_x thin films with x01 015 and 02 grown on si substrate by pulsed laser deposition technique it is found that the behavior of magnetoresistance mr drastically depends on the temperature namely at low temperatures mr is positive and its behavior is governed by the field mediated weak localization scenario while at high temperatures mr turns negative and its behavior is dominated by electron scattering on ferromagnetic cobalt atoms | [['we', 'present', 'a', 'comparative', 'study', 'on', 'the', 'influence', 'of', 'applied', 'magnetic', 'field', 'on', 'the', 'resistance', 'of', 'c_1xco_x', 'thin', 'films', 'with', 'x01', '015', 'and', '02', 'grown', 'on', 'si', 'substrate', 'by', 'pulsed', 'laser', 'deposition', 'technique', 'it', 'is', 'found', 'that', 'the', 'behavior', 'of', 'magnetoresistance', 'mr', 'drastically', 'depends', 'on', 'the', 'temperature', 'namely', 'at', 'low', 'temperatures', 'mr', 'is', 'positive', 'and', 'its', 'behavior', 'is', 'governed', 'by', 'the', 'field', 'mediated', 'weak', 'localization', 'scenario', 'while', 'at', 'high', 'temperatures', 'mr', 'turns', 'negative', 'and', 'its', 'behavior', 'is', 'dominated', 'by', 'electron', 'scattering', 'on', 'ferromagnetic', 'cobalt', 'atoms']] | [-0.14327782614245302, 0.22927175117434845, -0.029745260830081645, -0.028568356700513203, 0.013243554916698486, -0.18711568024342082, 0.06583621488451692, 0.40428316679650117, -0.23053927907589933, -0.31538296052964315, 0.03188101161781344, -0.32896729319223333, -0.08870451486048599, 0.2487862944891233, 0.04560361147326018, -0.034701157127052455, -0.04951926211028227, -0.03533520559098439, -0.06707154219648578, -0.22224933508827927, 0.33074886390628916, 0.07552364430323776, 0.38700225663238336, 0.12674776274555674, 0.10187217614258684, -0.005448821926533821, 0.12179607503293526, 0.08846015325703081, -0.14620174341109218, -0.015954150951334407, 0.16342135950080341, -0.09386452215923262, 0.19704750800017445, -0.4182522219295303, -0.18523207751457535, -0.02309341481997676, 0.1120514190656, 0.07369857587417798, -0.12304015832515211, -0.2526105044165715, 0.11074818392461609, -0.04241432424169034, -0.06680864362334389, -0.04963711062945159, -0.017164502234663814, -0.033224888479231766, -0.2557129753023175, 0.11739246623723634, 0.04243703587867674, 0.1632493586789462, -0.08608853128749788, -0.1374710694376734, -0.06367673138378277, 0.004425264146578099, 0.09148901205376855, 0.07084594206424386, 0.2505224019876637, -0.11018622506942068, -0.023276741342020353, 0.301687120149533, -0.08966823070797891, -0.06359390893928885, 0.20369552267670987, -0.22556038506306886, -0.012084408896043897, 0.2004103291048003, 0.13808424764179758, 0.16939179102441163, -0.1192141971883497, 0.116216337658573, 0.058186525223954094, 0.21032638461994274, 0.09103402298032529, -0.001297831075221655, 0.24213649246597752, 0.24242293259885628, 0.0034733916122821114, 0.14329299392799535, -0.15197124318607771, 0.00205378017632202, -0.15084399717549482, -0.12102947271029864, -0.21872161733474405, 0.12268517394771888, -0.09107435110438798, -0.1898564763611094, 0.38231359349031535, 0.13152611797808536, 0.19170972246987125, -0.04706458557241907, 0.24623498808415162, 0.14075745036271178, 0.05129838465169693, -0.007597236356343187, 0.26482112670228597, 0.19346365599527157, 0.18387387125836713, -0.30819258838891983, 0.16546107703332036, -0.02680017254481624] |
1,803.02065 | "So, Tell Me What Users Want, What They Really, Really Want!" | Equating users' true needs and desires with behavioural measures of
'engagement' is problematic. However, good metrics of 'true preferences' are
difficult to define, as cognitive biases make people's preferences change with
context and exhibit inconsistencies over time. Yet, HCI research often glosses
over the philosophical and theoretical depth of what it means to infer what
users really want. In this paper, we present an alternative yet very real
discussion of this issue, via a fictive dialogue between senior executives in a
tech company aimed at helping people live the life they `really' want to live.
How will the designers settle on a metric for their product to optimise?
| cs.CY | equating users true needs and desires with behavioural measures of engagement is problematic however good metrics of true preferences are difficult to define as cognitive biases make peoples preferences change with context and exhibit inconsistencies over time yet hci research often glosses over the philosophical and theoretical depth of what it means to infer what users really want in this paper we present an alternative yet very real discussion of this issue via a fictive dialogue between senior executives in a tech company aimed at helping people live the life they really want to live how will the designers settle on a metric for their product to optimise | [['equating', 'users', 'true', 'needs', 'and', 'desires', 'with', 'behavioural', 'measures', 'of', 'engagement', 'is', 'problematic', 'however', 'good', 'metrics', 'of', 'true', 'preferences', 'are', 'difficult', 'to', 'define', 'as', 'cognitive', 'biases', 'make', 'peoples', 'preferences', 'change', 'with', 'context', 'and', 'exhibit', 'inconsistencies', 'over', 'time', 'yet', 'hci', 'research', 'often', 'glosses', 'over', 'the', 'philosophical', 'and', 'theoretical', 'depth', 'of', 'what', 'it', 'means', 'to', 'infer', 'what', 'users', 'really', 'want', 'in', 'this', 'paper', 'we', 'present', 'an', 'alternative', 'yet', 'very', 'real', 'discussion', 'of', 'this', 'issue', 'via', 'a', 'fictive', 'dialogue', 'between', 'senior', 'executives', 'in', 'a', 'tech', 'company', 'aimed', 'at', 'helping', 'people', 'live', 'the', 'life', 'they', 'really', 'want', 'to', 'live', 'how', 'will', 'the', 'designers', 'settle', 'on', 'a', 'metric', 'for', 'their', 'product', 'to', 'optimise']] | [-0.06329328557438674, 0.06875437363905129, -0.1190369127197536, 0.16043036202016217, -0.22164687729889043, -0.18948012927150423, 0.13473447128436183, 0.44765527459309884, -0.23901178404964782, -0.36620166720132585, 0.08091489926058178, -0.2779132057912648, -0.17015480779594294, 0.13810677965240623, -0.2021113374373979, -0.015562987558681655, 0.05385316972172371, 0.08634654316982185, 0.00011857557088930022, -0.33778990213586774, 0.3268185333387616, 0.10464823879818949, 0.2890009152254573, 0.0697152842643576, 0.0504934570487455, -0.01602090065177806, -0.0712256235656915, -0.009966932263018357, -0.1094147948530951, 0.13922476864644084, 0.4311194513208681, 0.263681293547119, 0.4086085912875003, -0.4371780625251294, -0.13162881747336574, 0.12497656597837771, 0.1447923890772034, 0.03597119859316283, 0.0028006229926918254, -0.3103462916484137, 0.044690142869108565, -0.19851234760534242, -0.09395513731417143, -0.08059769625672036, 0.039106530930708955, -0.04480072146139315, -0.16947960977753004, -0.023554422211384884, -0.0017907352489095905, 0.12745620362909027, -0.03185319647524954, -0.059286240371875465, 0.04664279125346285, 0.2648182273885511, 0.12875357232513596, 0.02123800991534221, 0.14224669906845386, -0.15716507332130009, -0.12134301662876236, 0.4268698899627284, 0.027759626488356542, -0.21535923072844054, 0.22873859183379897, -0.11302549487919789, -0.12326370197977801, 0.03072357034748334, 0.20524531247146013, 0.06287404710288953, -0.17536485387460776, -0.008285661147696103, -0.01694296932503305, 0.18894003635095605, 0.08281518380735414, 0.0021948003408464568, 0.2824657268097831, 0.14889305765461391, 0.04691413313115912, 0.03490884976754724, 0.04177869896240601, -0.08245820725008983, -0.21188980914410893, -0.169836032337992, -0.1190765087009856, 0.08265357483523311, -0.01815201542019538, -0.14643845168218292, 0.3517415928244763, 0.25640454415783837, 0.1397226089482299, 0.08207639659694568, 0.28804478705300157, 0.009794794177179466, 0.03074954241660803, 0.03531573750984131, 0.17573333955024956, -0.0019160704881263275, 0.20014073248926756, -0.1288240980475503, 0.1826863228774595, -0.059084811441910766] |
1,803.02066 | Kinetics of island growth in the framework of planar diffusion zones and
3D nucleation and growth models for electrodeposition | In the electrochemical deposition of thin films the measurement of the
current-time curve does not allow for a direct determination of the nucleus
growth law, electrode surface coverage and mean film thickness. In this work we
present a theoretical approach suitable to gain insight into these quantities
from the knowledge of nucleation density, solution parameters and current-time
behavior. The model applies to both isotropic and anisotropic growth rates of
nuclei and a study on the effect of nucleus shape and aspect ratio on the
kinetics is presented. Experimental results from literature are also discussed
in the framework of the present approach.
| cond-mat.soft cond-mat.mtrl-sci | in the electrochemical deposition of thin films the measurement of the currenttime curve does not allow for a direct determination of the nucleus growth law electrode surface coverage and mean film thickness in this work we present a theoretical approach suitable to gain insight into these quantities from the knowledge of nucleation density solution parameters and currenttime behavior the model applies to both isotropic and anisotropic growth rates of nuclei and a study on the effect of nucleus shape and aspect ratio on the kinetics is presented experimental results from literature are also discussed in the framework of the present approach | [['in', 'the', 'electrochemical', 'deposition', 'of', 'thin', 'films', 'the', 'measurement', 'of', 'the', 'currenttime', 'curve', 'does', 'not', 'allow', 'for', 'a', 'direct', 'determination', 'of', 'the', 'nucleus', 'growth', 'law', 'electrode', 'surface', 'coverage', 'and', 'mean', 'film', 'thickness', 'in', 'this', 'work', 'we', 'present', 'a', 'theoretical', 'approach', 'suitable', 'to', 'gain', 'insight', 'into', 'these', 'quantities', 'from', 'the', 'knowledge', 'of', 'nucleation', 'density', 'solution', 'parameters', 'and', 'currenttime', 'behavior', 'the', 'model', 'applies', 'to', 'both', 'isotropic', 'and', 'anisotropic', 'growth', 'rates', 'of', 'nuclei', 'and', 'a', 'study', 'on', 'the', 'effect', 'of', 'nucleus', 'shape', 'and', 'aspect', 'ratio', 'on', 'the', 'kinetics', 'is', 'presented', 'experimental', 'results', 'from', 'literature', 'are', 'also', 'discussed', 'in', 'the', 'framework', 'of', 'the', 'present', 'approach']] | [-0.047836759021634805, 0.07120109933640549, -0.12424168009674039, 0.008218084489650066, -0.033759227036360175, -0.0856500547794201, 0.07431896216245276, 0.3860288233136629, -0.22818110112820078, -0.30028705291523794, 0.0652594563913172, -0.2621121908270634, -0.11423456011164823, 0.21928869630210102, -0.02324983950630568, 0.05231840430878767, 0.015167086053233926, -0.03787190365918571, -0.049043762912549596, -0.1800580823628029, 0.30136449154613926, 0.07307762293938068, 0.35497832259550544, 0.12236134893399787, 0.05201461572790205, -0.009487067376918132, -0.01237941892024609, 0.028950827970805736, -0.23440787997926668, 0.12222828040600266, 0.1956017237377934, 0.048313895932002235, 0.18504696046140526, -0.44571704935688194, -0.2349920233499517, 0.021712470919557726, 0.1263988657559425, 0.12157724986756498, -0.10118588770389336, -0.21314907183013118, 0.031329973877435274, -0.15086227145488604, -0.14039367196899474, -0.04451048248770213, 0.014593872006539957, 0.03677596743011128, -0.2653691767752954, 0.10985657613981506, 0.08240908189759691, 0.0404763213072968, -0.1467147465417217, -0.13875110984069877, -0.012019047702634983, 0.10939326866225589, 0.08430944617934488, -0.012414887957828174, 0.19869726331498805, -0.12125911344866278, -0.045594006809083244, 0.35636561868325023, -0.041019868292375514, -0.168550381427723, 0.14886008726783317, -0.18906070543729728, -0.0681585088086379, 0.15027378943038755, 0.20595137383051143, 0.13214415489469186, -0.15011222141398356, 0.06246947610749642, 0.008374306137009643, 0.20223552623468607, 0.014442822305799121, 0.005410585658495674, 0.1875425245714291, 0.23656914611854177, 0.012741453493806985, 0.11865731060163735, -0.10952436436650038, -0.1000392872812503, -0.29702551696117563, -0.17454280458058757, -0.1583808821955659, 0.052257589198387286, -0.10443721990355194, -0.16227101784033499, 0.3838734116110176, 0.10891939188805547, 0.20808457492823057, 0.026601360631313655, 0.2786728272970655, 0.054073801964964016, 0.029250621157098967, -0.001985852057944135, 0.2841392171956451, 0.15826986065032975, 0.10932304526435437, -0.23992748598171637, 0.13132336847299692, 0.04635875972707083] |
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