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one and two photon wave functions are derived by projecting the quantum state vector onto simultaneous eigenvectors of the number operator and a recently constructed photon position operator [ phys. rev a 59, 954 ( 1999 ) ] that couples spin and orbital angular momentum. while only the landau - peierls wave function de...
arxiv:0705.3196
we show that the liouville property and reiter ' s condition are equivalent for semigroupoids. this result applies to semigroups as well as semigroup actions. in the special case of measured groupoids and locally compact groupoids, our result proves kaimanovich ' s conjecture of the equivalence of amenability and the l...
arxiv:1412.1517
the corepresentation theory of continuous groups is presented without the assumption that the subgroup $ g $ of the group with antilinear operations is unitary. the formulas of the corepresentation theory with unitary groups $ g $ can be obtained from this presentation.
arxiv:0905.4828
this paper presents new j and ks near - infrared data obtained from observations of the chandra deep field south ( cdf - s ) conducted at the eso 3. 5m new technology telescope ( ntt ). these data were taken as part of the ongoing deep public survey ( dps ) being carried out by the eso imaging survey ( eis ) program, e...
arxiv:astro-ph/0102300
we formulate, analyze and solve the problem of best arm identification with fairness constraints on subpopulations ( baics ). standard best arm identification problems aim at selecting an arm that has the largest expected reward where the expectation is taken over the entire population. the baics problem requires that ...
arxiv:2304.04091
the possibility is considered that the verdict of the ongoing miniboone neutrino experiment will favor neither of the contesting sides, stating in fact that the lsnd effect with the original oscillation amplitude is not confirmed, but a new lsnd effect with a considerably smaller amplitude is found ( or, at least, stro...
arxiv:hep-ph/0508145
recently, two new quantum - corrected black hole models satisfying covariance have been proposed within the framework of effective quantum gravity. in this paper, we study how the quantum parameter $ \ zeta $ affects the optical properties of two quantum - corrected black hole models. we first analyze the photon sphere...
arxiv:2503.06215
the primitive of private broadcast encryption introduced by barth, boneh and waters, is used to encrypt a message to several recipients while hiding the identities of the recipients. in their construction, a recipient has to first decrypt the received ciphertext to extract the verification key for one - time signature....
arxiv:1408.6610
using patterns in the oscillation frequencies of a white dwarf observed by k2, we have measured the fastest rotation rate, 1. 13 ( 02 ) hr, of any isolated pulsating white dwarf known to date. balmer - line fits to follow - up spectroscopy from the soar telescope show that the star ( sdssj0837 + 1856, epic 211914185 ) ...
arxiv:1704.08690
we investigate secret key rates for the quantum repeater using encoding [ l. jiang et al., phys. rev. a 79, 032325 ( 2009 ) ] and compare them to the standard repeater scheme by briegel, d \ " ur, cirac, and zoller. the former scheme has the advantage of a minimal consumption of classical communication. we analyze the ...
arxiv:1401.6859
it is increasingly common to augment randomized controlled trial with external controls from observational data, to evaluate the treatment effect of an intervention. traditional approaches to treatment effect estimation involve ambiguous estimands and unrealistic or strong assumptions, such as mean exchangeability. we ...
arxiv:2503.21081
chirality occupies a central role in fields ranging from biological self - assembly to the design of optical metamaterials. the definition of chirality, as given by lord kelvin, associates chirality with the lack of mirror symmetry : the inability to superpose an object on its mirror image. while this definition has gu...
arxiv:1301.4460
the goal of climate change governance is to stabilize greenhouse gas concentrations. this requires the reduction of anthropogenic global net emissions. in the pursuit of such a reduction, knowledge of greenhouse gas sources and sinks is critical to define baselines, and assess the effectiveness of climate governance ov...
arxiv:1607.02191
though the transformer architectures have shown dominance in many natural language understanding tasks, there are still unsolved issues for the training of transformer models, especially the need for a principled way of warm - up which has shown importance for stable training of a transformer, as well as whether the ta...
arxiv:2009.02070
" socrates is human. all humans are mortal. therefore, socrates is mortal. " this classical example demonstrates two - hop reasoning, where a conclusion logically follows from two connected premises. while transformer - based large language models ( llms ) can make two - hop reasoning, they tend to collapse to random g...
arxiv:2502.13913
diffusion based text - to - music ( ttm ) models generate music corresponding to text descriptions. typically unet based diffusion models condition on text embeddings generated from a pre - trained large language model or from a cross - modality audio - language representation model. this work proposes a diffusion base...
arxiv:2501.14680
we report a heat switch effect in single crystals of an antiferromagnet co $ _ 3 $ v $ _ 2 $ o $ _ 8 $, that is, the thermal conductivity ( $ \ kappa $ ) can be changed with magnetic field in an extremely large scale. due to successive magnetic phase transitions at 12 - - 6 k, the zero - field $ \ kappa ( t ) $ display...
arxiv:1606.02010
in engineering, a process is a series of interrelated tasks that, together, transform inputs into a given output. these tasks may be carried out by people, nature or machines using various resources ; an engineering process must be considered in the context of the agents carrying out the tasks and the resource attribut...
https://en.wikipedia.org/wiki/Process_(engineering)
we extend our previous work arxiv : 1007. 0053 on coherent - constructible correspondence for toric varieties to include toric deligne - mumford ( dm ) stacks. following borisov - chen - smith, a toric dm stack $ \ cx _ \ bsi $ is described by a " stacky fan " $ \ bsi = ( n, \ si, \ beta ) $, where $ n $ is a finitely ...
arxiv:0911.4711
gravitational lensing is a powerful tool for the study of the distribution of dark matter in the universe. the cold - dark - matter model of the formation of large - scale structures predicts the existence of quasars gravitationally lensed by concentrations of dark matter so massive that the quasar images would be spli...
arxiv:astro-ph/0312427
i define " horizon normalcy " as the approximate validity of semiclassical gravity and effective field theory ( sgeft ), for the description of observers that approach or cross a black hole horizon. if black holes return information, then horizon normalcy must fail substantially, at least in some global states. proposa...
arxiv:2502.08724
generating long - duration videos has always been a significant challenge due to the inherent complexity of spatio - temporal domain and the substantial gpu memory demands required to calculate huge size tensors. while diffusion based generative models achieve state - of - the - art performance in video generation task...
arxiv:2411.18668
teo $ _ 2 $ crystals have proven to be superb bolometers for the search of neutrinoless double beta decay in many respects. however, if used alone, they do not exhibit any feature that allows to discriminate an alpha energy deposit from a beta / gamma one. this fact limits their ability to reject the background due to ...
arxiv:1106.6286
a quantum hall system which is divided into two laterally coupled subsystems by means of a tunneling barrier exhibits a complex landau level dispersion. magnetotunneling spectroscopy is employed to investigate the small energy gaps which separate subsequent landau bands. the control on the fermi level permits to trace ...
arxiv:0709.3625
the c - v2x or lte - v standard has been designed to support v2x ( vehicle to everything ) communications. the standard is an evolution of lte, and it has been published by the 3gpp in release 14. this new standard introduces the c - v2x or lte - v mode 4 that is specifically designed for v2v communications using the p...
arxiv:1807.06508
understanding adaptive human driving behavior, in particular how drivers manage uncertainty, is of key importance for developing simulated human driver models that can be used in the evaluation and development of autonomous vehicles. however, existing traffic psychology models of adaptive driving behavior either lack c...
arxiv:2311.06417
we study the production of electroweak gauge bosons at high energies in the framework of kt - factorization qcd approach. contributions from the valence quarks are calculated using the quark - gluon interaction and quark - antiquark annihilation qcd subprocesses. the total and differential cross sections ( as a functio...
arxiv:0805.4821
we study a system of spins ( qubits ) coupled to a common noisy environment, each precessing at its own frequency. the correlated noise experienced by the spins implies long - lived correlations that relax only due to the differing frequencies. we use a mapping to a non - hermitian integrable richardson - gaudin model ...
arxiv:1711.00828
in a two - player zero - sum graph game, the players move a token throughout a graph to produce an infinite play, which determines the winner of the game. bidding games are graph games in which in each turn, an auction ( bidding ) determines which player moves the token : the players have budgets, and in each turn, bot...
arxiv:2210.02773
the problem of computing the chromatic number of kneser hypergraphs has been extensively studied over the last 40 years and the fractional version of the chromatic number of kneser hypergraphs is only solved for particular cases. the \ emph { $ ( p, q ) $ - extremal problem } consists in finding the maximum number of e...
arxiv:1408.3197
the temperature ( $ t $ ) and frequency ( $ \ omega $ ) dependent conductivity of weakly disordered luttinger liquids is calculated in a systematic way both by perturbation theory and from a finite temperature renormalization group ( rg ) treatment to leading order in the disorder strength. whereas perturbation theory ...
arxiv:cond-mat/0610426
we consider the motion of a non relativistic quantum particle in r ^ 3 subject to n point interactions which are moving on given smooth trajectories. due to the singular character of the time - dependent interaction, the corresponding schrodinger equation does not have solutions in a strong sense and, moreover, standar...
arxiv:math-ph/9908009
dialogue state tracking ( dst ), a crucial component of task - oriented dialogue ( tod ) systems, keeps track of all important information pertaining to dialogue history : filling slots with the most probable values throughout the conversation. existing methods generally rely on a predefined set of values and struggle ...
arxiv:2204.05895
in this article, we study properties of multilinear fourier integral operators on weighted modulation spaces. in particular, using the theory of gabor frames, we study boundedness of multilinear fourier integral operators on products of weighted modulation spaces. further, we investigate the periodic multilinear fourie...
arxiv:2302.10598
variational regularization models are one of the popular and efficient approaches for image restoration. the regularization functional in the model carries prior knowledge about the image to be restored. the prior knowledge, in particular for natural images, are the first - order ( i. e. variance in luminance ) and sec...
arxiv:2102.03903
the determination of quark angular momentum requires the knowledge of the generalized parton distribution e in the forward limit. we assume a connection between this function and the sivers transverse - momentum distribution, based on model calculations and theoretical considerations. using this assumption, we show tha...
arxiv:1107.5755
the interlayer van der waals interaction in twisted bilayer graphene ( tblg ) induces both in - plane and out - of - plane atomic displacements showing complex patterns that depend on the twist angle. in particular, for small twist angles, within each graphene layer, the relaxations give rise to a vortex - like displac...
arxiv:2103.10184
it is shown that, in contrast to the generally accepted opinion, there exist first order equations for the scalar bosons. such equations are proposed below. they are similar to the proca equations and maxwell equations for the vector bosons.
arxiv:1301.1899
over - dispersed count data typically pose a challenge to analysis using standard statistical methods, particularly when evaluating the efficacy of an intervention through the observed effect on the mean. we outline a novel statistical method for analysing such data, along with a statistically coherent framework within...
arxiv:1910.06667
the concentric gaps and rings commonly observed in protoplanetary disks in millimeter continuum emission have lent the impression that planet formation generally proceeds within orderly, isolated systems. while deep observations of spatially resolved molecular emission have been comparatively limited, they are increasi...
arxiv:2109.06224
from a public health perspective, previous research on comorbidity tends to have focused on identifying the most prevalent groupings of illnesses that demonstrate comorbidity, particularly among the elderly population, already in receipt of care. in contrast, little attention has been paid to possible socio - economic ...
arxiv:1411.2514
we consider the quantum mechanics of calogero models in an oscillator or coulomb potential on the n - dimensional sphere. their hamiltonians are obtained by an appropriate dunkl deformation of the oscillator / coulomb system on the sphere and its restriction to ( coxeter reflection ) symmetric wave functions. by the sa...
arxiv:1604.00027
recent research in multi - task learning reveals the benefit of solving related problems in a single neural network. 3d object detection and multi - object tracking ( mot ) are two heavily intertwined problems predicting and associating an object instance location across time. however, most previous works in 3d mot tre...
arxiv:2208.10056
the emergence of internet of things ( iot ) applications requires intelligence on the edge. microcontrollers provide a low - cost compute platform to deploy intelligent iot applications using machine learning at scale, but have extremely limited on - chip memory and compute capability. to deploy computer vision on such...
arxiv:1906.05721
we present a theoretical scheme for ground state cooling of a mechanical resonator in a membrane - in - middle optomechanical system ( oms ) driven by two red - detuned drive fields. the details of dynamical evolution of oms are provided, and the effect of system conditions on cooling results are systematically studied...
arxiv:1901.09338
we present recent results on elliptic boundary value problems where the theory of hardy spaces associated with operators plays a key role.
arxiv:2012.14679
we consider a nondominated model of a discrete - time financial market where stocks are traded dynamically, and options are available for static hedging. in a general measure - theoretic setting, we show that absence of arbitrage in a quasi - sure sense is equivalent to the existence of a suitable family of martingale ...
arxiv:1305.6008
we examine the completely isometric automorphisms of a free product of noncommutative disc algebras. it will be established that such an automorphism is given simply by a completely isometric automorphism of each component of the free product and a permutation of the components. this mirrors a similar fact in topology ...
arxiv:1409.5109
we consider the dynamical properties of quantum walks defined on the d - dimensional cubic lattice, or the homogeneous tree of coordination number 2d, with site dependent random phases, further characterised by transition probabilities between neighbouring sites equal to 1 / ( 2d ). we show that the localisation length...
arxiv:1812.05842
we consider a wide range of parametric mass models for b 1933 + 503, a ten - image radio lens, and identify shared properties of the models with the best fits. the approximate rotation curves varies by less than 8. 5 % from the average value between the innermost and the outermost image ( 1. 5h ^ { - 1 } kpc to 4. 1h ^...
arxiv:astro-ph/0008390
we investigate objects in symmetric tensor categories that have simultaneously finite symmetric and finite exterior algebra. this forces the characteristic of the base field to be $ p > 0 $, and the maximal degree of non - vanishing symmetric and exterior powers to add up to a multiple of $ p $. we give a complete clas...
arxiv:2502.10598
the papers in this collection are superb illustrations of the power of modern bayesian methods. they give examples of problems which are well suited to being tackled using such methods, but one must not lose sight of the merits of having multiple different strategies and tools in one ' s inferential armoury.
arxiv:1405.4986
we consider a general conservation law on the circle, in the presence of a sublinear damping. if the damping acts on the whole circle, then the solution becomes identically zero in finite time, following the same mechanism as the corresponding ordinary differential equation. when the damping acts only locally in space,...
arxiv:1803.08767
markov chain geostatistics is a methodology for simulating categorical fields. its fundamental model for conditional simulation is the markov chain random field ( mcrf ) model, and its basic spatial correlation measure is the transiogram. there are different ways to get transiogram models ( i. e., continuous - lag tran...
arxiv:2112.09178
a fundamental problem in wireless networks is the \ emph { minimum spanning tree } ( mst ) problem : given a set $ v $ of wireless nodes, compute a spanning tree $ t $, so that the total cost of $ t $ is minimized. in recent years, there has been a lot of interest in the physical interference model based on sinr constr...
arxiv:1206.1113
model selection is the process of choosing from a class of candidate models given data. for instance, methods such as the lasso and sparse identification of nonlinear dynamics ( sindy ) formulate model selection as finding a sparse solution to a linear system of equations determined by training data. however, absent st...
arxiv:2410.18268
in this paper, we consider $ l ^ p $ - estimate for a class of oscillatory integral operators satisfying the carleson - sj \ " olin conditions with further convex and straight assumptions. as applications, the multiplier problem related to a general class of hypersurfaces with nonvanishing gaussian curvature, local smo...
arxiv:2201.01021
the multigrid algorithm is a multilevel approach to accelerate the numerical solution of discretized differential equations in physical problems involving long - range interactions. multiresolution analysis of wavelet theory provides an efficient representation of functions which exhibit localized bursts of short lengt...
arxiv:physics/9806034
high spectral efficiency and low power consumption are the most challenging requirements of 5g networks since the number of devices are increased drastically. media - based modulation ( mbm ) is a promising scheme in order to achieve these requirements. in this paper, the spectral efficiency of mbm scheme in single - a...
arxiv:1801.10083
we study the effect of quenched disorder on the zero - range process ( zrp ), a system of interacting particles undergoing biased hopping on a one - dimensional periodic lattice, with the disorder entering through random capacities of sites. in the usual zrp, sites can accommodate an arbitrary number of particles, and ...
arxiv:1505.06110
building automation systems ( bas ) are interlinked networks of hardware and software, which monitor and control events in the buildings. one of the data communication protocols used in bas is building automation and control networking protocol ( bacnet ) which is an internationally adopted iso standard for the communi...
arxiv:1502.06460
we discuss different parameterizations of the $ c _ 5 ^ a ( q ^ 2 ) $ $ n \ delta $ axial form factor, fitted to the old argonne bubble chamber data for pion production by neutrinos, and we use coherent pion production to test their low $ q ^ 2 $ behavior. we find moderate effects that will be difficult to observe with...
arxiv:0912.2631
we propose and prove several regularity criteria for the 2d and 3d kuramoto - sivashinsky equation, in both its scalar and vector forms. in particular, we examine integrability criteria for the regularity of solutions in terms of the scalar solution $ \ phi $, the vector solution $ u \ triangleq \ nabla \ phi $, as wel...
arxiv:2112.07634
single organic molecules offer great promise as bright, reliable sources of identical single photons on demand, capable of integration into solid - state devices. it has been proposed that such molecules in a crystalline organic matrix might be placed close to an optical waveguide for this purpose, but so far there hav...
arxiv:1602.01277
in built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. this result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. in order to do so, we first set up a global formulation for noncommutative yang mills theory over ...
arxiv:hep-th/0108046
we report on pair interaction measurements in charged colloidal systems in confined and unconfined geometries by means of optical microscopy. at very small particle distances we observe minute distortions in the optical images which can lead to artifacts in the pair potentials as derived by digital video microscopy. in...
arxiv:cond-mat/0503105
recently there has been an interest in applying the concept of weak values and weak measurements to condensed matter systems. here a weak measurement protocol is proposed for obtaining the $ z _ 2 $ index of a topological insulator. the setup consists of a topological insulator with a hole pierced by a time dependent a...
arxiv:1503.08208
researchers have long proposed using economic approaches to resource allocation in computer systems. however, few of these proposals became operational, let alone commercial. questions persist about the economic approach regarding its assumptions, value, applicability, and relevance to system design. the goal of this p...
arxiv:cs/0502027
predictive models are often used for real - time decision making. however, typical machine learning techniques ignore feature evaluation cost, and focus solely on the accuracy of the machine learning models obtained utilizing all the features available. we develop algorithms and indexes to support cost - sensitive pred...
arxiv:1408.4072
we present x - ray proper - motion measurements of the forward shock and reverse - shocked ejecta in tycho ' s supernova remnant, based on three sets of archival chandra data taken in 2000, 2003, and 2007. we find that the proper motion of the edge of the remnant ( i. e., the forward shock and protruding ejecta knots )...
arxiv:1001.2484
variational autoencoders ( vaes ) were originally motivated ( kingma & welling, 2014 ) as probabilistic generative models in which one performs approximate bayesian inference. the proposal of $ \ beta $ - vaes ( higgins et al., 2017 ) breaks this interpretation and generalizes vaes to application domains beyond generat...
arxiv:2302.04855
fermion compositeness, and other types of new physics that can be described by the exchange of very massive particles, can manifest themselves as the result of an effective four - fermion contact interaction. in the case of the processes $ e ^ + e ^ - \ to \ mu ^ + \ mu ^ -, \ tau ^ + \ tau ^ -, \ bar { b } b $ and $ \...
arxiv:hep-ph/9805207
micro - mechanics of parachute fabrics under tensile loads is studied using in situ x - ray micro - tomography. results are presented for two nylon textiles commonly used in parachute systems, mil - c - 7020h type iii and mil - c - 44378 ( gl ) type ii. textiles are subjected to incremental tension using a custom appar...
arxiv:2407.08072
while most of the tactile robots are operated in close - set conditions, it is challenging for them to operate in open - set conditions where test objects are beyond the robots ' knowledge. we proposed an open - set recognition framework using mechanical properties to recongise known objects and incrementally label nov...
arxiv:2311.01540
##ts. in the tenth meeting of iit council in 1972, it was also proposed to convert the then it - bhu into an iit and a committee was appointed by iit council for the purpose but because of political reasons, the desired conversion could not be achieved then. it - bhu had been taking admissions through indian institute ...
https://en.wikipedia.org/wiki/Indian_Institutes_of_Technology
calculations of weak - interaction transition rates and of nuclear formation enthalpies show that in isolated neutron stars, the solid phase, above the neutron - drip threshold, is amorphous and heterogeneous in nuclear charge. the neutrino emissivities obtained are very dependent on the effects of proton shell structu...
arxiv:astro-ph/0403400
we introduce a " hamiltonian " - like function, called the volume function, indispensable to describe the ensemble of jammed matter such as granular materials and emulsions from a geometrical point of view. the volume function represents the available volume of each particle in the jammed systems. at the microscopic le...
arxiv:0808.2186
continuous - variable systems in quantum theory can be fully described through any one of the $ { \ rm s } $ - ordered family of quasiprobabilities $ \ lambda _ { \ rm s } ( \ alpha ) $, $ { \ rm s } \ in [ - 1, 1 ] $. we ask for what values of $ ( { \ rm s }, a ) $ is the scaling map $ \ lambda _ { \ rm s } ( \ alpha ...
arxiv:1705.07044
astrometric measurements of stellar systems are becoming significantly more precise and common, with many ground and space - based instruments and missions approaching 1 microarcsecond precision. we examine the multi - wavelength astrometric orbits of exoplanetary systems via both analytical formulae and numerical mode...
arxiv:1203.0341
using density functional theory and non - equilibrium green ' s function formalism, spin - dependent electron transport in fe / moxcr1 - xs2 / fe magnetic tunnel junction is studied. spin - transport for different thicknesses ( 1, 3, 5, and 7 layers ) of the spacer mos2 and for two different surface orientations of the...
arxiv:2504.16440
we study aspects of the interaction between a d - brane and an anti - d - brane in the maximally supersymmetric plane wave background of type iib superstring theory, which is equipped with a mass parameter mu. an early such study in flat spacetime ( mu = 0 ) served to sharpen intuition about d - brane interactions, sho...
arxiv:hep-th/0303255
electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a lagrangian description. in this paper we present an alternative formal derivation of u ( 1 ) - gauge theory in a manifestly covariant hamilton formalism. we make use of canonical transformations as our guiding tool to f...
arxiv:1601.08218
in efimov physics, a three - body parameter ( 3bp ), previously regarded as nonuniversal, uniquely defines bound and scattering properties of three particles. a universal 3bp, however, have been recently shown in experiments and theory in ultracold homonuclear gases. our present study further predicts a universal 3bp f...
arxiv:1207.6439
current emission - line based estimates of the metallicity of active galactic nuclei ( agn ) at both high and low redshifts indicate that agn have predominantly solar to supersolar metallicities. this leads to the question : do low metallicity agn exist? in this paper we use photoionization models to examine the effect...
arxiv:astro-ph/0607311
this paper describes the tools, technologies, and frameworks used in the implementation of the qualibd, a tool for modelling quality requirements for big data software applications.
arxiv:1912.03866
nonreciprocity originating from classical interactions among nonlinear scatterers has been attracting increasing attention in the quantum community, offering a promising tool to control excitation transfer for quantum information processing and quantum computing. in this work, we explore the possibility of realizing la...
arxiv:2212.03761
we present the probabilistic context neighborhood model designed for two - dimensional lattices as a variation of a markov random field assuming discrete values. in this model, the neighborhood structure has a fixed geometry but a variable order, depending on the neighbors ' values. our model extends the probabilistic ...
arxiv:2401.16598
we investigate the effect of a strong magnetic field on dynamical chiral symmetry breaking in quenched and unquenched qcd. to this end we apply the ritus formalism to the coupled set of ( truncated ) dyson - schwinger equations for the quark and gluon propagator under the presence of an external constant abelian magnet...
arxiv:1401.1647
we investigate group - theoretic " signatures " of odd cycles of a graph, and their connections to topological obstructions to 3 - colourability. in the case of signatures derived from free groups, we prove that the existence of an odd cycle with trivial signature is equivalent to having the coindex of the hom - comple...
arxiv:1601.07856
let t be a compact complex torus, dim t > 2. we show that the category of coherent sheaves on t is independent of the choice of the complex structure, if this complex structure is generic. the proof is independent of math. ag / 0205210, where the same result was proven for k3 surfaces and even - dimensional tori.
arxiv:math/0310329
we are motivated by the real challenges presented in a human - robot system to develop new designs that are efficient at data level and with performance guarantees such as stability and optimality at systems level. existing approximate / adaptive dynamic programming ( adp ) results that consider system performance theo...
arxiv:2006.09008
presently only 30 % of short gamma ray bursts ( sgrbs ) have accurate redshifts, and this sample is highly biased by the limited sensitivity of { \ it swift } to detect sgrbs. we account for the dominant biases to calculate a realistic sgrb rate density out to $ z = 0. 5 $ using the { \ it swift } sample of peak fluxes...
arxiv:1206.5058
phenotypical variability in the absence of genetic variation often reflects complex energetic landscapes associated with underlying gene regulatory networks ( grns ). in this view, different phenotypes are associated with alternative states of complex nonlinear systems : stable attractors in deterministic models or mod...
arxiv:1705.02330
the quantum eigenvalue problem arises in the study of the geometric measure of the quantum entanglement. in this paper, we convert the quantum eigenvalue problem to the z - eigenvalue problem of a real symmetric tensor. in this way, the theory and algorithms for z - eigenvalues can be applied to the quantum eigenvalue ...
arxiv:1205.1342
the polytropic equation of state ( eos ) of primordial gas clouds with modest enrichment is computed, motivated by the recent observations of very fe - deficient stars, [ fe / h ] ~ 10 ^ { - 3. 5 } - 10 ^ { - 5 }, such as he 0107 - 5240 and cs 29498 - 043. these stars are overabundant, relative to fe, in c and o. we as...
arxiv:astro-ph/0412403
general characterizations of physical measurements are discussed within the framework of the classical information theory. the uncertainty relation for simultaneous measurements of two physical observables is defined in this framework for generalized dynamic systems governed by a sturm - - liouville type of equation of...
arxiv:1212.3880
we develop the theory of quasi - - invariant ( resp. strongly quasi - - invariant ) states under the action of a group $ g $ of normal $ * $ - - automorphisms of a $ * $ - - algebra ( or von neumann alegbra ) $ \ mathcal { a } $. we prove that these states are naturally associated to left - - $ g $ - - $ 1 $ - - cocycl...
arxiv:2209.12717
past work in relation extraction mostly focuses on binary relation between entity pairs within single sentence. recently, the nlp community has gained interest in relation extraction in entity pairs spanning multiple sentences. in this paper, we propose a novel architecture for this task : inter - sentential dependency...
arxiv:1810.05102
inspired by work of the first and second author, this paper studies the gromov width of the disk cotangent bundle of spheroids and zoll spheres of revolution. this is achieved with the use of techniques from integrable systems and embedded contact homology capacities.
arxiv:2301.08528
research on graph representation learning has received a lot of attention in recent years since many data in real - world applications come in form of graphs. high - dimensional graph data are often in irregular form, which makes them more difficult to analyze than image / video / audio data defined on regular lattices...
arxiv:1909.00958