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in these lecture notes we review the various relations between intersection theory on the moduli space of riemann surfaces, integrable hierarchies of kdv type, matrix models, and topological quantum field theories. we explain in particular why matrix integrals of the type considered by kontsevich naturally appear as ta... | arxiv:hep-th/9201003 |
since the 1960s i proposed that we could understand and replicate the highest level of intelligence seen in the brain, by building ever more capable and general systems for adaptive dynamic programming ( adp ), which is like reinforcement learning but based on approximating the bellman equation and allowing the control... | arxiv:q-bio/0612045 |
mathematical logic is the study of formal logic within mathematics. major subareas include model theory, proof theory, set theory, and recursion theory ( also known as computability theory ). research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressiv... | https://en.wikipedia.org/wiki/Mathematical_logic |
we consider the maximum coding rate achievable by uniformly - random codes for the deletion channel. we prove an upper bound that ' s within 0. 1 of the best known lower bounds for all values of the deletion probability $ d, $ and much closer for small and large $ d. $ we give simulation results which suggest that our ... | arxiv:2210.07437 |
we consider the closest lattice point problem in a distributed network setting and study the communication cost and the error probability for computing an approximate nearest lattice point, using the nearest - plane algorithm, due to babai. two distinct communication models, centralized and interactive, are considered.... | arxiv:1701.08456 |
in the field of soft dielectric elastomers, the notion electrostriction indicates the dependency of the permittivity on strain. the present paper is aimed at investigating the effects of electrostriction onto the stability behaviour of homogeneous electrically activated dielectric elastomer actuators. in particular, th... | arxiv:1310.0332 |
a long - term sublimation model to explain how phaethon could provide the geminid stream is proposed. we find that it would take $ \ sim6 $ myr or more for phaethon to lose all of its internal ice ( if ever there was ) in its present orbit. thus, if the asteroid moved from the region of a 5 : 2 or 8 : 3 mean motion res... | arxiv:1811.00759 |
this paper presents a novel decentralized control strategy for a multi - robot system that enables parallel multi - target exploration while ensuring a time - varying connected topology in cluttered 3d environments. flexible continuous connectivity is guaranteed by building upon a recent connectivity maintenance method... | arxiv:1505.05441 |
polaritons enable the resonant coupling of excitons and photons to vibrations in the application - relevant super high frequency ( shf, 3 - 30 ghz ) domain. we introduce a novel platform for coherent optomechanics based on the coupling of exciton - polaritons and electrically driven shf longitudinal acoustic phonons co... | arxiv:2003.01051 |
we identify the scaling region of a width o ( n ^ { - 1 } ) in the vicinity of the accumulation points $ t = \ pm 1 $ of the real roots of a random kac - like polynomial of large degree n. we argue that the density of the real roots in this region tends to a universal form shared by all polynomials with independent, id... | arxiv:math-ph/0309014 |
image compression aims to reduce the information redundancy in images. most existing neural image compression methods rely on side information from hyperprior or context models to eliminate spatial redundancy, but rarely address the channel redundancy. inspired by the mask sampling modeling in recent self - supervised ... | arxiv:2306.05704 |
the paper studies the limiting behavior of spectral measures of random jacobi matrices of gaussian, wishart and manova beta ensembles. we show that the spectral measures converge weakly to a limit distribution which is the semicircle distribution, marchenko - pastur distributions or kesten - mckey distributions, respec... | arxiv:1601.01146 |
we test our knowledge of the atomic opacity in the solar uv spectrum. using the atomic data compiled in paper i from modern, publicly available, databases, we perform calculations that are confronted with space - based observations of the sun. at wavelengths longer than about 260 nm, lte modeling can reproduce quite cl... | arxiv:astro-ph/0303560 |
privacy is a concept found throughout human history and opinion polls suggest that the public value this principle. however, while many individuals claim to care about privacy, they are often perceived to express behaviour to the contrary. this phenomenon is known as the privacy paradox and its existence has been valid... | arxiv:1807.05754 |
we investigate the geometry near the horizon of a generic, four - dimensional extremal black hole. when the cosmological constant is negative, we show that ( in almost all cases ) tidal forces diverge as one crosses the horizon, and this singularity is stronger for larger black holes. in particular, this applies to gen... | arxiv:2210.02473 |
we present a numerical model which allows us to investigate thermonuclear flames in type ia supernova explosions. the model is based on a finite - volume explicit hydrodynamics solver employing ppm. using the level - set technique combined with in - cell reconstruction and flux - splitting schemes we are able to descri... | arxiv:astro-ph/0211202 |
the cross - industry working team ( xiwt ), with the support of the stanford university consortium for research on information security and policy ( crisp ), sponsored a symposium on cross - industry activities aimed at improving the reliability, dependability, and robustness of the information infrastructure. held 3 -... | arxiv:cs/9902014 |
integer - valued elements of an integral submodular flow polyhedron $ q $ are investigated which are decreasingly minimal ( dec - min ) in the sense that their largest component is as small as possible, within this, the second largest component is as small as possible, and so on. as a main result, we prove that the set... | arxiv:2012.07325 |
systems with a first integral ( i. e., constant of motion ) or a lyapunov function can be written as ` ` linear - gradient systems ' ' $ \ dot x = l ( x ) \ nabla v ( x ) $ for an appropriate matrix function $ l $, with a generalization to several integrals or lyapunov functions. the discrete - time analogue, $ \ delta... | arxiv:math-ph/9805021 |
several examples of non - compact manifolds $ m _ 0 $ whose geometry at infinity is described by lie algebras of vector fields $ v \ subset \ gamma ( tm ) $ ( on a compactification of $ m _ 0 $ to a manifold with corners $ m $ ) were studied by melrose and his collaborators. in math. dg / 0201202 and math. oa / 0211305... | arxiv:math/0304044 |
a restrictive assumption in change point analysis is " stationarity under the null hypothesis of no change - point ", which is crucial for asymptotic theory but not very realistic from a practical point of view. for example, if change point analysis for correlations is performed, it is not necessarily clear that the me... | arxiv:1801.10478 |
opensesame is a program for generating tabular equations of state ( eos ), with capabilities for multiphase eos construction. in this tutorial, we provide an overview of how to run opensesame to construct a multiphase eos. we discuss some general features of opensesame, followed by a description of sample input files r... | arxiv:2109.08254 |
we consider the inverse problem of multi - armed bandits ( imab ) that are widely used in neuroscience and psychology research for behavior modelling. we first show that the imab problem is not convex in general, but can be relaxed to a convex problem via variable transformation. based on this result, we propose a two ... | arxiv:2501.18945 |
this paper explores backward error analysis for numerical solutions of ordinary differential equations, particularly focusing on chaotic systems. three approaches are examined : residual assessment, the method of modified equations, and shadowing. we investigate how these methods explain the success of numerical simula... | arxiv:2501.06123 |
we present preliminary results for the static quark potential computed on some of the dwf lattice configurations generated by the rbc - ukqcd collaborations. most of these results were obtained using wilson lines joining spatial planes fixed into the coulomb gauge. we compare the results from this method with the earli... | arxiv:hep-lat/0610106 |
we simulate an individual - based model that represents both the phenotype and genome of digital organisms with predator - prey interactions. we show how open - ended growth of complexity arises from the invariance of genetic evolution operators with respect to changes in the complexity, and that the dynamics which eme... | arxiv:0707.4533 |
a full off - diagonal asymptotic expansion is established for the generalized bergman kernels of the renormalized bochner laplacians associated with high tensor powers of a positive line bundle over a compact symplectic manifold. as an application, the algebra of toeplitz operators on the symplectic manifold associated... | arxiv:1703.04107 |
let $ q \ in ( 1, 2 ) $ and $ x \ in [ 0, \ frac1 { q - 1 } ] $. we say that a sequence $ ( \ epsilon _ i ) _ { i = 1 } ^ { \ infty } \ in \ { 0, 1 \ } ^ { \ mathbb { n } } $ is an expansion of $ x $ in base $ q $ ( or a $ q $ - expansion ) if x = \ sum _ { i = 1 } ^ { \ infty } \ epsilon _ iq ^ { - i }. let $ \ mathca... | arxiv:1305.3850 |
the chandra multiwavelength plane ( champlane ) survey is a comprehensive effort to constrain the population of accretion - powered and coronal low - luminosity x - ray sources ( l _ x < 10 ^ 33 erg s ^ - 1 ) in the galaxy. champlane incorporates x - ray, optical, and infrared observations of fields in the galactic pla... | arxiv:0803.2565 |
we computed linguistic information at the lexical, syntactic, and semantic levels for recognizing inference in text ( rite ) tasks for both traditional and simplified chinese in ntcir - 9 and ntcir - 10. techniques for syntactic parsing, named - entity recognition, and near synonym recognition were employed, and featur... | arxiv:1504.02150 |
in this paper we define an action by the symplectomorphisms on a symplectic manifold on the space of real singular polarizations. it is then shown that under some topological conditions, this action preserves quantization by a fixed prequantum line bundle. | arxiv:2106.15484 |
a local deformation property for uniform embeddings in metric manifolds ( ld ) is formulated and its behaviour is studied in a formal view point. it is shown that any metric manifold with a geometric group action, typical metric spaces ( euclidean space, hyperbolic space and cylinders ) and for \ kappa \ leq 0 the \ ka... | arxiv:1301.3265 |
we study lyapunov exponents for flat bundles over hyperbolic curves defined via parallel transport over the geodesic flow. we consider them as invariants on the space of hitchin representations and show that there is a gap between any two consecutive lyapunov exponents. moreover we characterize the uniformizing represe... | arxiv:2211.03651 |
a controlling factor in the seasonal and climatological evolution of the sea ice cover is its albedo $ \ alpha $. here we analyze arctic data from the advanced very high resolution radiometer ( avhrr ) polar pathfinder and assess the seasonality and variability of broadband albedo from a 23 year daily record. we produc... | arxiv:1109.3058 |
fields such that φ ( e1 + e2 ) = φ ( e1 ) + φ ( e2 ), φ ( e1e2 ) = φ ( e1 ) φ ( e2 ), and φ ( 1e ) = 1f, where e1 and e2 are arbitrary elements of e. all field homomorphisms are injective. if φ is also surjective, it is called an isomorphism ( or the fields e and f are called isomorphic ). a field is called a prime fie... | https://en.wikipedia.org/wiki/Field_(mathematics) |
we present a ` global ' description of the wide variety of high energy elastic and diffractive data that are presently available, particularly from the lhc experiments. the model is based on only one pomeron pole, but includes multi - pomeron interactions and, significantly, includes the transverse momentum dependence ... | arxiv:1312.3851 |
we use perron ' s method to construct viscosity solutions of fully nonlinear degenerate parabolic pathwise ( rough ) partial differential equations. this provides an intrinsic method for proving the existence of solutions that relies only on a comparison principle, rather than considering equations driven by smooth app... | arxiv:1605.01108 |
task allocation in heterogeneous multi - agent teams often requires reasoning about multi - dimensional agent traits ( i. e., capabilities ) and the demands placed on them by tasks. however, existing methods tend to ignore the fact that not all traits equally contribute to a given task. ignoring such inherent preferenc... | arxiv:2302.10817 |
we develop a constitutive model allowing for the description of the rheology of two - dimensional soft dense suspensions above jamming. starting from a statistical description of the particle dynamics, we derive, using a set of approximations, a non - linear tensorial evolution equation linking the deviatoric part of t... | arxiv:2102.05938 |
nowadays deep learning - based methods have achieved a remarkable progress at the image classification task among a wide range of commonly used datasets ( imagenet, cifar, svhn, caltech 101, sun397, etc. ). sota performance on each of the mentioned datasets is obtained by careful tuning of the model architecture and tr... | arxiv:2108.07049 |
recent work in deep reinforcement learning ( rl ) has produced algorithms capable of mastering challenging games such as go, chess, or shogi. in these works the rl agent directly observes the natural state of the game and controls that state directly with its actions. however, when humans play such games, they do not j... | arxiv:2009.05524 |
in this paper we uses an i. i. hirschman - w. beckner entropy argument to give an uncertainty inequality for the $ q $ - bessel fourier transform : $ $ \ mathcal { f } _ { q, v } f ( x ) = c _ { q, v } \ int _ { 0 } ^ { \ infty } f ( t ) j _ { v } ( xt, q ^ { 2 } ) t ^ { 2v + 1 } d _ { q } t, $ $ where $ j _ v ( x, q )... | arxiv:0707.1494 |
for arrays $ ( s _ { i, j } ) _ { 1 \ leq i \ leq j } $ of random variables that are stationary in an appropriate sense, we show that the fluctuations of the process $ ( s _ { 1, n } ) _ { n = 1 } ^ { \ infty } $ can be bounded in terms of a measure of the ` ` mean subadditivity ' ' of the process $ ( s _ { i, j } ) _ ... | arxiv:math/0608311 |
we show how solution concepts from cooperative game theory can be used to tackle the problem of pruning neural networks. the ever - growing size of deep neural networks ( dnns ) increases their performance, but also their computational requirements. we introduce a method called game theory assisted pruning ( gtap ), wh... | arxiv:2311.10468 |
in this work, we present a hybrid numerical method for solving evolution partial differential equations ( pdes ) by merging the time finite element method with deep neural networks. in contrast to the conventional deep learning - based formulation where the neural network is defined on a spatiotemporal domain, our meth... | arxiv:2409.02810 |
recent lhcb measurements of the $ j / \ psi $ meson production in jets is analyzed using fragmentation jet function formalism. it is shown that disagreement with theoretical predictions for distribution over the fraction of $ j / \ psi $ transverse momentum $ z ( j / \ psi ) $ in the cases of prompt production can be e... | arxiv:1703.09081 |
bent - tailed ( bt ) radio sources have long been known to trace over densities in the universe up to z ~ 1 and there is increasing evidence this association persists out to redshifts of 2. the morphology of the jets in bt galaxies is primarily a function of the environment that they have resided in and so bts provide ... | arxiv:1412.8596 |
modern particle accelerators and their applications increasingly rely on precisely coordinated interactions of intense charged particle and laser beams. femtosecond - scale synchronization alongside micrometre - scale spatial precision are essential e. g. for pump - probe experiments, seeding and diagnostics of advance... | arxiv:1908.09263 |
brihadeeswarar temple of thanjavur, among many others, stand as a testament to the ingenuity and skill of ancient civil and military engineers. other monuments, no longer standing, such as the hanging gardens of babylon and the pharos of alexandria, were important engineering achievements of their time and were conside... | https://en.wikipedia.org/wiki/Engineering |
we will show that every element of a finitely generated abelian group is automorphically equivalent what we will define to be a { \ em representative element } in a { \ em repeat - free subgroup }, and for finite abelian groups we can count the number of automorphism classes of elements. | arxiv:1109.2106 |
large language models ( llms ) have performed well on several reasoning benchmarks, including ones that test analogical reasoning abilities. however, it has been debated whether they are actually performing humanlike abstract reasoning or instead employing less general processes that rely on similarity to what has been... | arxiv:2402.08955 |
the large attention - based encoder - decoder network ( transformer ) has become prevailing recently due to its effectiveness. but the high computation complexity of its decoder raises the inefficiency issue. by examining the mathematic formulation of the decoder, we show that under some mild conditions, the architectu... | arxiv:2101.00542 |
a decoherence mechanism caused by spacetime curvature is discussed. the spin state of a particle is shown to decohere if only the particle moves in a curved spacetime. in particular, when a particle is near the event horizon of a black hole, an extremely rapid spin decoherence occurs for an observer who is static in a ... | arxiv:quant-ph/0312064 |
graphical passwords ( gpws ) are convenient for mobile equipments with touch screen. topological graphic passwords ( topsnut - gpws ) can be saved in computer by classical matrices and run quickly than the existing gpws. we research topsnut - gpws by the matching of view, since they have many advantages. we discuss : c... | arxiv:1808.03324 |
direct simulations of two - dimensional plane channel flow of a viscoelastic fluid at reynolds number re = 3000 reveal the existence of a family of attractors whose structure closely resembles the linear tollmien - schlichting ( ts ) mode, and in particular exhibits strongly localized stress fluctuations at the critica... | arxiv:1910.11419 |
a strong connection between cluster algebras and representation theory was established by the cluster category. cluster characters, like the original caldero - chapoton ( cc ) map, are maps from certain triangulated categories to cluster algebras and they have generated much interest. holm and j { \ o } rgensen constru... | arxiv:2106.02142 |
in this article, we study the fluctuation of linear eigenvalue statistics of symmetric circulant matrices $ ( sc _ n ) $ with independent entries which satisfy some moment conditions. we show that $ \ frac { 1 } { \ sqrt { n } } \ tr \ phi ( sc _ n ) $ obey the central limit theorem ( clt ) type result, where $ \ phi $... | arxiv:2004.11294 |
one of the aims of aether scalar tensor theory ( aest ) is to reproduce the successes of modified newtonian dynamics ( mond ) on galactic scales. indeed, the quasi - static limit of aest achieves precisely this, assuming that the vector field $ \ vec { a } $ vanishes and that the so - called ghost condensate can be neg... | arxiv:2305.07742 |
we investigate whether the affleck - dine mechanism can produce sufficient baryon number of the universe in the gauge - mediated susy breaking models, while evading the cosmological moduli problem by late - time entropy production. we find that the q - ball formation makes the scenario difficult, irrespective of the de... | arxiv:hep-ph/0202014 |
to exist today? almost certainly no, given the chain of circumstances that led to our existence. these considerations suggest that we are unique not just on our planet but in the whole milky way. and if our planet is so special, it becomes all the more important to preserve this unique world for ourselves, our descenda... | https://en.wikipedia.org/wiki/Technology |
game - like programs have become increasingly popular in many software engineering domains such as mobile apps, web applications, or programming education. however, creating tests for programs that have the purpose of challenging human players is a daunting task for automatic test generators. even if test generation su... | arxiv:2208.13632 |
high - resolution inputs enable large vision - language models ( lvlms ) to discern finer visual details, enhancing their comprehension capabilities. to reduce the training and computation costs caused by high - resolution input, one promising direction is to use sliding windows to slice the input into uniform patches,... | arxiv:2407.08706 |
we show that the edges of every 3 - connected planar graph except $ k _ 4 $ can be colored with two colors in such a way that the graph has no color preserving automorphisms. also, we characterize all graphs which have the property that their edges can be $ 2 $ - colored so that no matter how the graph is embedded in a... | arxiv:1206.1945 |
in economic and financial applications, there is often the need for analysing multivariate time series, comprising of time series for a range of quantities. in some applications such complex systems can be associated with some underlying network describing pairwise relationships among the quantities. accounting for the... | arxiv:2305.16097 |
we present a technically simple treatment of self - trapping of bose - einstein condensates in double well traps based on intuitive semi - classical approximations. our analysis finally leads to a convenient closed form approximation for the time - averaged population imbalance valid in both the mean - field case and i... | arxiv:1112.4721 |
lhcb is one of the four experiments at the large hadron collider ( cern ), dedicated to the study of b - hadrons. throughout my research, i studied in particular b - baryons which are abundantly produced at the lhcb. my habilitation summarises the studies of fundamental properties of these particles within the standard... | arxiv:2005.11226 |
we consider the nonlinear schrodinger equation with cubic ( focusing or defocusing ) nonlinearity on the multidimensional torus. for special small initial data containing only five modes, we exhibit a countable set of time layers in which arbitrarily large modes are created. the proof relies on a reduction to multiphas... | arxiv:1010.5173 |
people leverage avatars to communicate nonverbal behaviors in immersive virtual reality ( vr ), like interpersonal distance [ 2, 6 ] and virtual touch [ 5 ]. however, violations of appropriate physical distancing and unsolicited intimate touching behavior in social virtual worlds represent potential social and psycholo... | arxiv:2405.05933 |
we calculate the tidal torque on a uniformly rotating 1 msun star at various stages of core hydrogen burning by an orbiting companion. we apply the ` traditional approximation ' and solve the radial part of the tidal perturbations by matrix inversion of the set of finite difference equations on a very fine grid. we hav... | arxiv:astro-ph/0202276 |
two types of approximation to the paradoxical russell set are presented, one approximating it from below, one from above. it is shown that any lower approximation gives rise to a better approximation containing it, and that any upper approximation contains a distinct better approximation. the russell paradox is then se... | arxiv:2103.00090 |
fluorescence spectroscopy is an image correlation technique to analyze and characterize the molecular dynamics from a sequence of fluorescence images. many image correlation techniques have been developed for different applications [ 1 ]. but in practice the use of these techniques is often limited to a manually select... | arxiv:1710.08186 |
molecular hydrogen clouds are a key component of the interstellar medium because they are the birthplaces for stars. they are embedded in atomic gas that pervades the interstellar space. however, the details of how molecular clouds assemble from and interact with the atomic gas are still largely unknown. as a result of... | arxiv:2302.09266 |
we aim to estimate the contribution of the radial component of the lorentz force to the gas rotation in several types of galaxies. using typical parameters for the exponential scale of synchrotron emission and the scale length of hi gas, under the assumption of equipartition between the energies of cosmic rays and tota... | arxiv:1407.6998 |
we report the first experimental study of cluster size distributions in electrostatically driven granular submonolayers. the cluster size distribution in this far - from - equilibrium process exhibits dynamic scaling behavior characteristic of the ( nearly equilibrium ) ostwald ripening, controlled by the attachment an... | arxiv:cond-mat/0411522 |
distance - based approaches in phylogenetics such as neighbor - joining are a fast and popular approach for building trees. these methods take pairs of sequences from them construct a value that, in expectation, is additive under a stochastic model of site substitution. most models assume a distribution of rates across... | arxiv:0808.2660 |
we investigate the efficiency of interstellar polarization $ p _ \ lambda / a _ \ lambda $ where $ p _ \ lambda $ is the fractional linear polarization and $ a _ \ lambda $ is extinction, in 16 lines of sight as a function of wavelength $ \ lambda $. we have used the data obtained with the low - dispersion spectropolar... | arxiv:1101.4253 |
for a perfectoid ring $ r $, we compute the full $ \ mathrm { ro } ( \ mathbb t ) $ - graded ring $ \ mathrm { tf } _ \ bigstar ( r ; \ mathbf z _ p ) $. this extends and simplifies work of gerhardt and angeltveit - gerhardt. in even degrees, we find an $ \ mathrm { ru } ( \ mathbb t ) $ - graded version of b \ " okste... | arxiv:2205.12151 |
we say that a finite metric space $ x $ can be embedded almost isometrically into a class of metric spaces $ c $, if for every $ \ epsilon > 0 $ there exists an embedding of $ x $ into one of the elements of $ c $ with the bi - lipschitz distortion less then $ 1 + \ epsilon $. we show that almost isometric embeddabilit... | arxiv:1712.08177 |
we propose a continuous feedback control strategy that steers a point - mass vehicle safely to a desired destination, in a quasi - optimal manner, from almost all initial conditions in an n - dimensional euclidean space cluttered with spherical obstacles. the main idea consists in avoiding each obstacle via the shortes... | arxiv:2302.12309 |
in this article, we propose a novel method for sampling potential functions based on noisy observation data of a finite number of observables in quantum canonical ensembles, which leads to the accurate sampling of a wide class of test observables. the method is based on the bayesian inversion framework, which provides ... | arxiv:1910.02116 |
the object of this paper is to introduce and study the concept of quasi - geometric infinite divisibility for distributions on $ \ bf r _ + $. these distributions arise as mixing distributions of ( discrete ) geometric infinitely divisible poisson mixtures. several characterizations and closure properties are presented... | arxiv:2112.04105 |
the coupling of $ n = 1 $ scft of type $ ( 4m, 2 ) $ to two - dimensional supergravity can be formulated non - perturbatively in terms of a discrete super - eigenvalue model proposed by alvarez - gaum \ ' e, et al. we derive the superloop equations that describe, in the double scaling limit, the non - perturbative solu... | arxiv:hep-th/9403129 |
platooning involves a set of vehicles moving in a cooperative fashion at equal inter - vehicular distances. taking advantage of wireless communication technology, this paper aims to show the impact of network protocols on a platoon using a controller, based on the cooperative adaptive cruise control ( cacc ) principles... | arxiv:1905.02395 |
multi - robot task planning and collaboration are critical challenges in robotics. while behavior trees ( bts ) have been established as a popular control architecture and are plannable for a single robot, the development of effective multi - robot bt planning algorithms remains challenging due to the complexity of coo... | arxiv:2502.18072 |
the recent progress on image recognition and language modeling is making automatic description of image content a reality. however, stylized, non - factual aspects of the written description are missing from the current systems. one such style is descriptions with emotions, which is commonplace in everyday communicatio... | arxiv:1510.01431 |
a classical result owing to mancini and sandeep [ ann. sc. norm. super. pisa cl. sci. 7 ( 2008 ) ] asserts that all positive solutions of the poincar \ ' e - sobolev equation on the hyperbolic space $ $ - \ delta _ { \ mathbb { b } ^ n } u - \ lambda u = | u | ^ { p - 1 } u, \ quad u \ in h ^ 1 ( \ mathbb { b } ^ n ), ... | arxiv:2211.14618 |
we derive and analyze a class of spherically symmetric cosmological models whose source is an interactive mixture of inhomogeneous cold dark matter ( dm ) and a generic homogeneous dark energy ( de ) fluid. if the de fluid corresponds to a quintessense scalar field, the interaction term can be associated with a well mo... | arxiv:astro-ph/0503609 |
we explore cp - violating ( cpv ) effects of heavy new physics in flavour - changing quark dipole transitions, within the framework of standard model effective field theory ( smeft ). first, we establish the relevant dimension six operators and consider the renormalisation group ( rg ) evolution of the appropriate wils... | arxiv:2306.16471 |
background : the numerical solution of few - body scattering problems with realistic interactions is a difficult problem that normally must be solved on powerful supercomputers, taking a lot of computer time. this strongly limits the possibility of accurate treatments for many important few - particle problems in diffe... | arxiv:1404.5253 |
let $ \ mathrm { \ mathbf { l } \ rightarrow \ mathbf { x } } $ be a base point free $ \ mathrm { \ mathbb { t } = t ^ { \ mathbb { c } } } $ - linearized hermitian line bundle over a compact variety $ \ mathrm { \ mathbf { x } } $ where $ \ mathrm { t = \ left ( s ^ { 1 } \ right ) ^ { m } } $ is a real torus. the mai... | arxiv:1503.01550 |
we report a systematic investigation on c - axis point - contact andreev reflection ( pcar ) in bafe $ _ { 2 - x } $ ni $ _ x $ as $ _ 2 $ superconducting single crystals from underdoped to overdoped regions ( 0. 075 $ \ leq x \ leq 0. 15 $ ). at optimal doping ( $ x = 0. 1 $ ) the pcar spectrum feature the structures ... | arxiv:1106.2891 |
sorted l - one penalized estimation ( slope ) has shown the nice theoretical property as well as empirical behavior recently on the false discovery rate ( fdr ) control of high - dimensional feature selection by adaptively imposing the non - increasing sequence of tuning parameters on the sorted $ \ ell _ 1 $ penalties... | arxiv:2302.10610 |
the integration of natural language processing ( nlp ) technologies into educational applications has shown promising results, particularly in the language learning domain. recently, many spoken open - domain chatbots have been used as speaking partners, helping language learners improve their language skills. however,... | arxiv:2307.09744 |
the cosmological moduli problem ( cmp ) comes in three parts : 1. potential violation of bbn constraints from late decaying moduli fields, 2. the moduli - induced gravitino problem wherein gravitinos are overproduced and 3. the moduli - induced lightest susy particle ( lsp ) overproduction problem. we examine the cosmo... | arxiv:2201.06633 |
in natural auditory environments, acoustic signals originate from the temporal superimposition of different sound sources. the problem of inferring individual sources from ambiguous mixtures of sounds is known as blind source decomposition. experiments on humans have demonstrated that the auditory system can identify s... | arxiv:2201.06123 |
estimating the data density is one of the challenging problems in deep learning. in this paper, we present a simple yet effective method for estimating the data density using a deep neural network and the donsker - varadhan variational lower bound on the kl divergence. we show that the optimal critic function associate... | arxiv:2104.06612 |
cu is an ubiquitous material used in industry for its great thermal and electrical properties. studying the high - pressure high temperature properties of copper ( cu ) is relevant for nuclear fusion research as projectiles and flyers used in hypervelocity impacts are generally made of copper, where it is used also in ... | arxiv:2503.01939 |
we report an investigation into random - jet - stirred homogeneous turbulence generated in a vertical octagonal prism shaped tank where there are jet arrays on four of the eight vertical faces. we show that the turbulence is homogeneous at all scales in the central region of the tank that spans multiple integral scales... | arxiv:2305.19430 |
by studying an effective action description of the coupling of charged gauge fields in n = 2 su ( n ) supersymmetric yang - mills theories, we can describe regions of moduli space where one or more of these fields becomes unphysical. we discuss subtleties in the structure of the moduli space for su ( 3 ). | arxiv:hep-th/9508043 |
purpose : since the recent covid - 19 outbreak, there has been an avalanche of research papers applying deep learning based image processing to chest radiographs for detection of the disease. to test the performance of the two top models for cxr covid - 19 diagnosis on external datasets to assess model generalizability... | arxiv:2006.13262 |
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