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within the framework of the mode coupling theory ( mct ) of structural relaxation, mechanisms and properties of non - ergodicity transitions in rather dilute suspensions of colloidal particles characterized by strong short - ranged attractions are studied. results building on the virial expansion for particles with har...
arxiv:cond-mat/9912279
a graph $ g $ is said to be super edge - magic if there exists a bijective function $ f : v \ left ( g \ right ) \ cup e \ left ( g \ right ) \ rightarrow \ left \ { 1, 2, \ ldots, \ left \ vert v \ left ( g \ right ) \ right \ vert + \ left \ vert e \ left ( g \ right ) \ right \ vert \ right \ } $ such that $ f \ lef...
arxiv:2308.10661
direct searches for wimps are sensitive to physics well below the weak scale. in the absence of light mediators, it is fruitful to apply an effective field theory ( eft ) approach accounting only for dark matter ( dm ) interactions with standard model ( sm ) fields. we consider a singlet fermion wimp and effective oper...
arxiv:1411.3342
let $ x $ be a simply connected path connected topological space which is formal in the sense of rational homotopy theory. let $ y = x \ cup _ \ alpha \ mathbb { d } ^ { n } $ where $ \ alpha : \ mathbb { s } ^ { n - 1 } \ to x $ is a non - torsion element. then we obtain a condition on $ \ alpha $ for the formality of...
arxiv:1301.5421
we consider the low - temperature limit of the long - distance asymptotic behavior of the finite temperature density - density correlation function in the one - dimensional bose gas derived recently in the algebraic bethe ansatz framework. our results confirm the predictions based on the luttinger liquid and conformal ...
arxiv:1102.1858
recent cosmological observations strongly suggest that the universe is dominated by an unknown form of energy with negative pressure. why is this dark energy density of order the critical density today? we propose that the dark energy has periodically dominated in the past so that its preponderance today is natural. we...
arxiv:astro-ph/0002360
we present a conclusive answer to bertrand ' s paradox, a long standing open issue in the basic physical interpretation of probability. the paradox deals with the existence of mutually inconsistent results when looking for the probability that a chord, drawn at random in a circle, is longer than the side of an inscribe...
arxiv:1008.1878
we study the problem of distinguishing maximally entangled quantum states by using local operations and classical communication ( locc ). a question of fundamental interest is whether any three maximally entangled states in $ \ mathbb { c } ^ d \ otimes \ mathbb { c } ^ d ( d \ geq 4 ) $ are distinguishable by locc. in...
arxiv:1703.08773
we develop a liquidity - sensitive multivariate volatility framework to improve the estimation of time - varying covariance structures under market frictions. we introduce two novel portfolio - level liquidity measures, liquidity jump and liquidity diffusion, which capture magnitude and volatility of liquidity fluctuat...
arxiv:2407.00813
this paper is devoted to discrete mechanical systems subject to external forces. we introduce a discrete version of systems with rayleigh - type forces, obtain the equations of motion and characterize the equivalence for these systems. additionally, we obtain a noether ' s theorem and other theorem characterizing the l...
arxiv:2110.14431
we propose to focus on the problem of discovering neural network architectures efficient in terms of both prediction quality and cost. for instance, our approach is able to solve the following tasks : learn a neural network able to predict well in less than 100 milliseconds or learn an efficient model that fits in a 50...
arxiv:1706.00046
recognizing the types of white blood cells ( wbcs ) in microscopic images of human blood smears is a fundamental task in the fields of pathology and hematology. although previous studies have made significant contributions to the development of methods and datasets, few papers have investigated benchmarks or baselines ...
arxiv:2303.01777
we analyze killing initial data on cauchy surfaces in conformally rescaled vacuum space - times satisfying friedrich ' s conformal field equations. as an application, we derive the kid equations on a spacelike $ \ mathcal { j } ^ - $.
arxiv:1403.2682
a commitment to condition monitoring involves the operators of plant in the conduct of a range of activities. these activities may be compli - cated in nature and indeed may often be performed automatically under computer control. they can, however, always be down into a rela - tively small number of easily identifiabl...
arxiv:1806.08721
this online material provides the technical detail for ` ` heavy electrons and the symplectic symmetry of spin ", ( arxiv 0710. 1122 ). three parts. part i - symplectic spins, their properties and gauge symmetries. part ii - derivation of two - chanel model for tetragonal heavy electron systems with the view to applica...
arxiv:0710.1128
generalizing the martens theorem for line bundles over a curve $ c $, we obtain upper bounds on the dimension of the brill - - noether locus $ b ^ k _ { n, d } $ parametrizing stable bundles of rank $ n \ ge 2 $ and degree $ d $ over $ c $ with at least $ k $ independent sections. this proves a conjecture of the second...
arxiv:2412.12719
as a result of discussions with bousso and vilenkin i want to return to the question of whether the multiverse is past - eternal or if there was a beginning. not surprisingly, given three people, there were three answers. however, the discussions have led to some common ground. the multiverse being past - eternal, or a...
arxiv:1205.0589
cofe2o4 nanoparticles were synthesized using gelatin as a polymerizing agent. structural, morphological and magnetic properties of samples treated at different temperatures were investigated by x - ray diffraction, scanning electron microscopy, mossbauer spectroscopy and magnetization measurements. our results revealed...
arxiv:1506.00505
in this paper we describe an approach to the problem of finding optimal positions for charging stations ( cs ) in a warehouse, where a fleet of electrical industrial trucks / forklifts is employed. our procedure is motivated by googles page - ranking. the graph model underlying our method is easily extensible from simp...
arxiv:2406.17003
we consider a differential model describing neuro - physiological contrast perception phenomena induced by surrounding orientations. the mathematical formulation relies on a cortical - inspired modelling [ 10 ] largely used over the last years to describe neuron interactions in the primary visual cortex ( v1 ) and appl...
arxiv:1812.07425
we revisit the range minimum query problem and present a new o ( n ) - space data structure that supports queries in o ( 1 ) time. although previous data structures exist whose asymptotic bounds match ours, our goal is to introduce a new solution that is simple, intuitive, and practical without increasing costs for que...
arxiv:1109.4460
we compute the indecomposable objects of \ dot { u } ^ + _ 3 - the category that categorifies the positive half of the quantum sl _ 3, and we decompose an arbitrary object into indecomposable ones. on decategorified level we obtain the lusztig ' s canonical basis of the positive half u ^ + _ q ( sl _ 3 ) of the quantum...
arxiv:1105.4458
dynamic magnetic properties of $ \ mathrm { y _ { 0. 7 } ca _ { 0. 3 } mno _ { 3 } } $ are reported. the system appears to attain local ferromagnetic order at $ t _ { \ mathrm { srf } } \ approx 70 $ k. below this temperature the low field magnetization becomes history dependent, i. e. the zero field cooled ( zfc ) and...
arxiv:cond-mat/0007439
we calculate the charge compressibility and uniform spin susceptibility for the two - dimensional ( 2d ) hubbard model slightly away from half - filling within a two - loop renormalization group scheme. we find numerically that both those quantities flow to zero as we increase the initial interaction strength from weak...
arxiv:cond-mat/0506682
quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave - particle duality, where entities like electrons and photons exhibit both wave - like and particle - like behaviors. in this paper, we leverage advancements in quantum information science to gain new insights...
arxiv:quant-ph/0701163
we present a short review of the current quasar ( qso ) absorption line constraints on possible variation of the fine structure constant, alpha = e ^ 2 / ( hbar * c ). particular attention is paid to recent optical keck / hires spectra of 49 absorption systems which indicate a smaller alpha in the past ( murphy et al. ...
arxiv:astro-ph/0209488
it is shown how to derive fractional supersymmetric quantum mechanics of order k as a superposition of k - 1 copies of ordinary supersymmetric quantum mechanics.
arxiv:quant-ph/0509035
almost all current and future high - contrast imaging instruments will use a pyramid wavefront sensor ( pwfs ) as a primary or secondary wavefront sensor. the main issue with the pwfs is its nonlinear response to large phase aberrations, especially under strong atmospheric turbulence. most instruments try to increase i...
arxiv:2401.16325
we employ monte carlo simulations in order to study dynamics of the magnetization and domain growth processes in the random - field ising models with uniform and gaussian random field distributions of varying strengths. domain sizes are determined directly using the hoshen - kopelman algorithm. for either case, both th...
arxiv:1309.3589
we study the formation of calcium carbonate, through the solid - gas interaction of amorphous ca - silicate with gaseous co2, at elevated pressures, and link this to the possible presence of calcium carbonate in a number of circumstellar and planetary environments. we use in - situ synchrotron x - ray powder diffractio...
arxiv:1303.3753
in this document will be proved a formula to compute the $ p $ - adic valuation of a hyperfactorial. we call a hyperfactorial the result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power. for example, the hyperfactorial of $ n $ is equal to : $ 1 ^ 1 2 ^ 2 3 ...
arxiv:2109.05616
order - disorder transformations hold an essential place in chemically complex high - entropy ferritic - steels ( hefss ) due to their critical technological application. the chemical inhomogeneity arising from mixing of multi - principal elements of varying chemistry can drive property altering changes at the atomic s...
arxiv:2108.04110
scattering amplitudes are both a wonderful playground to discover novel ideas in quantum field theory and simultaneously of immense phenomenological importance to make precision predictions for e. g. ~ particle collider observables and more recently also for gravitational wave signals. in this review chapter, we give a...
arxiv:2203.13018
cognitive psychology investigates perception, attention, memory, language, problem - solving, decision - making, and reasoning. kahneman ' s dual - system theory elucidates the human decision - making process, distinguishing between the rapid, intuitive system 1 and the deliberative, rational system 2. recent advanceme...
arxiv:2409.03381
the awkward array library has been an important tool for physics analysis in python since september 2018. however, some interface and implementation issues have been raised in awkward array ' s first year that argue for a reimplementation in c + + and numba. we describe those issues, the new architecture, and present s...
arxiv:2001.06307
group bias in natural language processing tasks manifests as disparities in system error rates across texts authorized by different demographic groups, typically disadvantaging minority groups. dataset balancing has been shown to be effective at mitigating bias, however existing approaches do not directly account for c...
arxiv:2109.08253
the effect of hydrostatic strain and of interstitial hydrogen on the elastic properties of $ \ alpha $ - iron is investigated using \ textit { ab initio } density - functional theory calculations. we find that the cubic elastic constants and the polycrystalline elastic moduli to a good approximation decrease linearly w...
arxiv:1102.0187
we consider the integrable spin chain model - the noncompact sl ( 2, r ) spin magnet. the spin operators are realized as the generators of the unitary principal series representation of the sl ( 2, r ) group. in an explicit form, we construct r - matrix, the baxter q - operator and the transition kernel to the represen...
arxiv:hep-th/0405030
we consider the minimal energy problem on the unit sphere $ \ mathbb s ^ 2 $ in the euclidean space $ \ mathbb r ^ 3 $ immersed in an external field $ q $, where the charges are assumed to interact via newtonian potential $ 1 / r $, $ r $ being the euclidean distance. the problem is solved by finding the support of the...
arxiv:1510.06420
we investigate doping of a two - orbital chain with mobile $ s = 1 / 2 $ fermions as a valid model for $ \ rm y _ { 2 - x } ca _ xbanio _ 5 $. the s = 1 spins are stabilized by strong, ferromagnetic ( fm ) hund ' s rule couplings. we calculate correlation functions and thermodynamic quantities by dmrg methods and find ...
arxiv:cond-mat/9912273
interest is increasing among political scientists in leveraging the extensive information available in images. however, the challenge of interpreting these images lies in the need for specialized knowledge in computer vision and access to specialized hardware. as a result, image analysis has been limited to a relativel...
arxiv:2403.00154
we discuss results from simulations of black hole formation in failing core - collapse supernovae performed with the code gr1d, a new open - source eulerian spherically - symmetric general - relativistic hydrodynamics code. gr1d includes rotation in an approximate way ( 1. 5d ), comes with multiple finite - temperature...
arxiv:1011.0005
in this article we investigate the structure of the four - point functions of the $ ads _ 3 $ - wznw model. we consider the integral expression for the unflowed four - point correlator involving at least one state in the discrete part of the spectrum derived by analytic continuation from the $ h _ 3 ^ + $ - wznw model ...
arxiv:1504.07492
polar crown prominences are made of chromospheric plasma partially circling the suns poles between 60 and 70 degree latitude. we aim to diagnose the 3d dynamics of a polar crown prominence using high cadence euv images from the solar dynamics observatory ( sdo ) / aia at 304 and 171a and the ahead spacecraft of the sol...
arxiv:1402.4989
an infinite family of exactly - solvable and integrable potentials on a plane is introduced. it is shown that all already known rational potentials with the above properties allowing separation of variables in polar coordinates are particular cases of this family. the underlying algebraic structure of the new potential...
arxiv:0904.0738
motivated by recent analogies between the large - $ q $ csyk model and charged black holes, we aim to find a concrete gravitation theory with a matching partition function. our main focus is to match the thermodynamics of the $ ( 0 + 1 ) $ - dimensional csyk model, with that of a $ ( 1 + 1 ) $ - dimensional gravitation...
arxiv:2305.05394
an ensemble of neural networks is known to be more robust and accurate than an individual network, however usually with linearly - increased cost in both training and testing. in this work, we propose a two - stage method to learn sparse structured ensembles ( sses ) for neural networks. in the first stage, we run sg -...
arxiv:1803.00184
observation of supernovae ( sn ) through their neutrino emission is a fundamental point to understand both sn dynamics and neutrino physical properties. juno is a 20kton liquid scintillator detector, under construction in jiangmen, china. the main aim of the experiment is to determine neutrino mass hierarchy by precise...
arxiv:1910.02005
we examine the gluon propagator in the laplacian gauge in quenched lattice qcd as a function of the number of colours. we observe a weak dependence on $ n _ c $ over the whole momentum range. this implies an almost $ n _ c $ - independent gluon pole mass in units of the string tension.
arxiv:hep-lat/0203006
an increasing number of so - called superluminous supernovae ( slsne ) are discovered. it is believed that at least some of them with slowly fading light curves originate in stellar explosions induced by the pair instability mechanism. recent stellar evolution models naturally predict pair instability supernovae ( pisn...
arxiv:1510.00439
recently, alfakih and ye [ lin. algebra appl. 438 : 31 - - 36, 2013 ] proved that if an $ r $ - dimensional bar framework $ ( g, p ) $ on $ n \ geq r + 2 $ nodes in general position in $ \ r ^ r $ admits a positive semidefinite stress matrix with rank $ n - r - 1 $, then $ ( g, p ) $ is universally rigid. in this paper...
arxiv:1305.5955
we prove that the canonical thurston obstruction for a sub - hyperbolic semi - rational branched covering exists if the branched covering is not clh - equivalent to a rational map.
arxiv:1101.2285
recent experiments reported that spin - state transitions were realized by applying bias voltages. but these bias - induced spin state transitions ( bissts ) are not fully understood, especially the mechanism. it is well known that the metal - to - ligand charge transfer excitation ( mlct ) and the metal - centered exc...
arxiv:1909.04254
we show that, in contrast to classical random graph models, many real - world complex systems - - including a variety of biological regulatory networks and technological networks such as the internet - - spontaneously self - organize to a richly symmetric state. we consider the organizational origins of symmetry and fi...
arxiv:cond-mat/0609274
long flows contribute huge volumes of traffic over inter - datacenter wan. the flow completion time ( fct ) is a vital network performance metric that affects the running time of distributed applications and the users ' quality of experience. flow routing techniques based on propagation or queuing latency or instantane...
arxiv:1810.00169
for any field k and any transitive subgroup g of s _ 8, let g acts naturally on k ( x _ 1,..., x _ 8 ) by permutations of the variables, we prove that under some minor conditions k ( x _ 1,..., x _ 8 ) ^ g is always k - rational except g is a _ 8 or g is isomorphic to pgl ( 2, 7 ). we pay special attentions on the char...
arxiv:1402.1675
let $ r $ be a noetherian local ring. we consider the following quastion : does there exist an integer $ n $ such that all idelas generated by a system of parameters contained in the $ n $ - th power of the maximal ideal have the same betti numbers? we obtain a positive answer for some rings with finite local cohomolog...
arxiv:math/0604178
the valley - contrasting geometric features of electronic wave functions manifested in berry curvature and orbital magnetic moment have profound consequences on magnetotransport properties in both three - and two - dimensional systems. although the importance of employing beyond - relaxation - time - approximation meth...
arxiv:2302.13557
localized energy estimates for the wave equation have been increasingly used to prove various other dispersive estimates. this article focuses on proving such localized energy estimates on $ ( 1 + 4 ) $ - dimensional myers - perry black hole backgrounds with small angular momenta. the myers - perry space - times are ge...
arxiv:1401.0465
the generalized rabi model ( grm ) with both one - and two - photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. in this paper, we examine theoretically multiphoton resonances in the grm and derive their effective hamiltonians. with different detunings in the system, we s...
arxiv:2004.02283
we developed a convolutional neural network ( cnn ) model capable of predicting the performance of various ion - doped nasicon compounds by leveraging extensive datasets from prior experimental investigation. the model demonstrated high accuracy and efficiency in predicting ionic conductivity and electrochemical proper...
arxiv:2409.02952
we present an algorithm based on maximum likelihood for the estimation and renormalization ( marginalization ) of exponential densities. the moment - matching problem resulting from the maximization of the likelihood is solved as an optimization problem using the levenberg - marquardt algorithm. in the case of renormal...
arxiv:math/0409230
we identify potential early markets for fusion energy and their projected cost targets, based on analysis and synthesis of many relevant, recent studies and reports. because private fusion companies aspire to start commercial deployment before 2040, we examine cost requirements for fusion - generated electricity, proce...
arxiv:2101.09150
infrared spectroscopy in the mid - and far - infrared provides powerful diagnostics for studying the emission regions in active galaxies. the large variety of ionic fine structure lines can probe gas conditions in a variety of physical conditions, from highly ionized gas excited by photons originated by black hole accr...
arxiv:0709.4158
the maximum bit - rate of a slab waveguide is ultimately determined by the waveguide dispersion. we show that while the maximum bit rate in a waveguide is inversely proportional to the waveguide ' s width, bit rate per unit width ( i. e., spatial capacity ) decreases, and in the limit of a zero - width waveguide it con...
arxiv:physics/0206035
in the management of lung nodules, we are desirable to predict nodule evolution in terms of its diameter variation on computed tomography ( ct ) scans and then provide a follow - up recommendation according to the predicted result of the growing trend of the nodule. in order to improve the performance of growth trend p...
arxiv:2206.03049
the linear instability of a surfactant - laden two - layer falling film over an inclined slippery wall is analyzed under an influence of external shear which is imposed on the top surface of the flow. the free surface of the flow as well as the interface among the fluids are contaminated by insoluble surfactants. dynam...
arxiv:2009.08118
this paper introduces a micro - nexus of water and energy which can be considered as one of the physical infrastructures of the future building / city / village systems. for the electricity side, an alternating current ( ac ) power flow model integrated with battery energy storage and renewable generation is adopted. t...
arxiv:1711.03241
ferromagnetism and superconductivity are most fundamental phenomena in condensed matter physics. entailing opposite spin orders, they share an important conceptual similarity : disturbances in magnetic ordering in magnetic materials can propagate in the form of spin waves ( magnons ) while magnetic fields penetrate sup...
arxiv:1901.06156
we show that every fell bundle b over a locally compact group g is " proper " in a sense recently introduced by ng. combining our results with those of ng we show that if b satisfies the " approximation property " then it is amenable in the sense that the full and reduced cross - sectional c * - algebras coincide.
arxiv:math/9904013
we present explicit analytical solution for the problem of minimization of the function $ f ( x, y ) = \ sum _ { j = 1 } ^ 3 m _ j \ sqrt { ( x - x _ j ) ^ 2 + ( y - y _ j ) ^ 2 } $, i. e. we find the coordinates of stationary point and the corresponding critical value of $ f ( x, y ) $ as functions of $ { m _ j, x _ j...
arxiv:1208.3324
we examine here in what way the pressures affect the final fate of a continual gravitational collapse. it is shown that the presence of a non - vanishing pressure gradient in the collapsing cloud determines directly the epoch of formation of trapped surfaces and the apparent horizon, thus changing the causal structure ...
arxiv:gr-qc/0206086
n this article we consider functions meromorphic in the unit disk. we give an elementary proof for a condition that is sufficient for the univalence of such functions which also contains some known results. we include few open problems for further research.
arxiv:1905.01690
design representation is a common task in the design process to facilitate learning, analysis, redesign, communication, and other design activities. traditional representation techniques rely on human expertise and manual construction and are difficult to repeat and scale. here, we propose a methodology that utilizes a...
arxiv:2210.11533
this paper studies discounted markov decision processes ( mdps ) with finite sets of states and actions. value iteration is one of the major methods for finding optimal policies. for each discount factor, starting from a finite number of iterations, which is called the turnpike integer, value iteration algorithms alway...
arxiv:2502.05375
automatic ribs segmentation and numeration can increase computed tomography assessment speed and reduce radiologists mistakes. we introduce a model for multilabel ribs segmentation with hierarchical loss function, which enable to improve multilabel segmentation quality. also we propose postprocessing technique to furth...
arxiv:2405.15500
by using joint modulation and customized constellation set, we show that quasi - orthogonal space - time block code ( qo - stbc ) can be used to form a new differential space - time modulation ( dstm ) scheme to provide full transmit diversity with non - coherent detection. our new scheme can provide higher code rate t...
arxiv:0806.3317
we analyze a class of stochastic differential games of singular control, motivated by the study of a dynamic model of interbank lending with benchmark rates. we describe pareto optima for this game and show how they may be achieved through the intervention of a regulator, whose policy is a solution to a singular stocha...
arxiv:2005.05766
it is demonstrated that decimation of the one dimensional ising model, with periodic boundary conditions, results in a non - linear renormalisation transformation for the couplings which can lead to chaotic behaviour when the couplings are complex. the recursion relation for the couplings under decimation is equivalent...
arxiv:cond-mat/9412031
counting maximum matchings in a graph is of great interest in statistical mechanics, solid - state chemistry, theoretical computer science, mathematics, among other disciplines. however, it is a challengeable problem to explicitly determine the number of maximum matchings of general graphs. in this paper, using gallai ...
arxiv:2306.13279
we construct four kinds of z3 - symmetric three - dimentional ( 3 - d ) potts models, each with different number of states at each site on a 3 - d lattice, by extending the 3 - d three - state potts model. comparing the ordinary potts model with the four z3 - symmetric potts models, we investigate how z3 symmetry affec...
arxiv:1604.02977
we present a novel learning - based collision avoidance algorithm, crowdsteer, for mobile robots operating in dense and crowded environments. our approach is end - to - end and uses multiple perception sensors such as a 2 - d lidar along with a depth camera to sense surrounding dynamic agents and compute collision - fr...
arxiv:2004.03089
if the behavior of a system with many degrees of freedom can be captured by a small number of collective variables, then plausibly there is an underlying mean - field theory. we show that simple versions of this idea fail to describe the patterns of activity in networks of real neurons. an extended mean - field theory ...
arxiv:2504.15197
we investigate the relative merit of phase - based methods - - - mean phase coherence, unweighted and weighted phase lag index - - - for estimating the strength of interactions between dynamical systems from empirical time series which are affected by common sources and noise. by numerically analyzing the interaction d...
arxiv:1409.4251
previous studies indicate that the expansion law in emergence of space can be derived from the first law f thermodynamics. it has been proposed a unified formulation for the expansion law applicable to a general set of gravity theories in equilibrium description. in that formulation, which is based on the first law of ...
arxiv:2405.12644
we study the top pair production cross section at the lhc in the context of randall - sundrum model including the kaluza - klein ( kk ) excited gravitons. it is shown that the recent measurement of the cross section of this process at the lhc restricts the parameter space in randall - sundrum ( rs ) model considerably....
arxiv:1110.6163
local and global persistence exponents associated with zero temperature quenched dynamics of two dimensional xy model and three dimensional heisenberg model have been estimated using numerical simulations. we have used the method of block persistence to find both global and local exponents simultaneously ( in a single ...
arxiv:1005.2020
we develop a version of the fundamental theorem of asset pricing for discrete - time markets with proportional transaction costs and model uncertainty. a robust notion of no - arbitrage of the second kind is defined and shown to be equivalent to the existence of a collection of strictly consistent price systems.
arxiv:1408.5510
the kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. we theoretically demonstrate that an array of coupled photonic crystal lasers emulates the kuramoto model with non - delayed nearest - neighbor coupling ( the local kuramoto model ). our novel stra...
arxiv:2010.16236
in this work, we introduce a novel approach that equips llm agents with introspection, enhancing consistency and adaptability in solving complex tasks. our approach prompts llm agents to decompose a given task into manageable subtasks ( i. e., to make a plan ), and to continuously introspect upon the suitability and re...
arxiv:2405.16334
accurate cardinality estimates are a key ingredient to achieve optimal query plans. for rdf engines, specifically under common knowledge graph processing workloads, the lack of schema, correlated predicates, and various types of queries involving multiple joins, render cardinality estimation a particularly challenging ...
arxiv:2102.10588
we show that for a rational polygonal billiard, the set of pairs of points that do not illuminate each other ( not connected by a billiard trajectory ) is finite, and use the same method to extend the results of leli \ ` evre, monteil and weiss, and of apisa and wright about the amount of pairs of points that are finit...
arxiv:1905.09358
we show in some lower - dimensional supergravity models that the holographic counterterms which are needed in the ads / cft correspondence to make the theory finite, coincide with the counterterms that are needed to make the action supersymmetric without imposing any boundary conditions on the fields.
arxiv:0908.3486
we present a first - order theory of sequences with integer elements, presburger arithmetic, and regular constraints, which can model significant properties of data structures such as arrays and lists. we give a decision procedure for the quantifier - free fragment, based on an encoding into the first - order theory of...
arxiv:1001.2100
etme $ _ 3 $ sb [ pd ( dmit ) $ _ 2 $ ] $ _ 2 $, an organic mott insulator with nearly isotropic triangular lattice, is a candidate material for a quantum spin liquid, in which the zero - point fluctuations do not allow the spins to order. the itinerant gapless excitations inferred from the thermal transport measuremen...
arxiv:2002.11838
in the context of the new standard lambdacdm cosmology we resolve conflicts in the literature regarding fundamental aspects of the expansion of the universe and cosmic horizons and we link these concepts to observational tests. we derive the dynamics of a non - comoving galaxy and use this to demonstrate the counter - ...
arxiv:astro-ph/0402278
a new version of nlqm is formulated in terms of the generalized nambu dynamics. the generalization is free from the difficulties of earlier approaches. the paper is a second part of " elements of nlqm ( i ) : nl schrodinger equation and two - level atoms ".
arxiv:hep-th/9406174
existing works on video frame interpolation ( vfi ) mostly employ deep neural networks that are trained by minimizing the l1, l2, or deep feature space distance ( e. g. vgg loss ) between their outputs and ground - truth frames. however, recent works have shown that these metrics are poor indicators of perceptual vfi q...
arxiv:2303.09508
we introduce a simple model of static networks, where nodes are located on a ring structure, and two accompanying dynamic rules of repeated averaging on periodic node states. we assume nodes can interact with neighbors, and will add long - range links randomly. the number of long - range links, e, controls structures o...
arxiv:1203.3241
physical systems with non - trivial topological order find direct applications in metrology [ 1 ] and promise future applications in quantum computing [ 2, 3 ]. the quantum hall effect derives from transverse conductance, quantized to unprecedented precision in accordance with the system ' s topology [ 4 ]. at magnetic...
arxiv:1804.06345