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we construct the einstein equation for an invariant riemannian metric on the exceptional full flag manifold $ m = g _ 2 / t $. by computing a gr \ " obner basis for a system of polynomials of multi - variables we prove that this manifold admits exactly two non - k \ " ahler invariant einstein metrics. thus $ g _ 2 / t ... | arxiv:1010.3661 |
we performed multi - band deep imaging of the field around grb 050730 to identify the host galaxies of intervening absorbers, which consist of a damped ly { \ alpha } absorption ( dla ) system at zabs = 3. 564, a sub - dla system at zabs = 3. 022, and strong mgii absorption systems at zabs = 1. 773 and 2. 253. our obse... | arxiv:1207.5840 |
in semiconductors, spin - orbit effective magnetic fields, i. e., the rashba and dresselhaus fields, are used to control electron - spin polarization. this operation, however, destroys the electron - spin coherence, and the spin polarization is limited to the vicinity of a ferromagnetic source electrode. in this paper,... | arxiv:1106.3124 |
brane configurations in a circle allow subsequent applications of the hanany - witten transitions, which are known as duality cascades. by studying the process of duality cascades corresponding to quantum curves with symmetries of weyl groups, we find a hidden structure of affine weyl groups. namely, the fundamental do... | arxiv:2112.13616 |
regularity, complete intersection and gorenstein properties of a local ring can be characterized by homological conditions on the canonical homomorphism into its residue field ( serre, avramov, auslander ). it is also known that in positive characteristic, the frobenius endomorphism can also be used for these character... | arxiv:1209.5051 |
learning argumentative writing is challenging. besides writing fundamentals such as syntax and grammar, learners must select and arrange argument components meaningfully to create high - quality essays. to support argumentative writing computationally, one step is to mine the argumentative structure. when combined with... | arxiv:2404.02529 |
it has been known for some time that $ w $ algebras can be realised in terms of an energy - momentum tensor together with additional free scalar fields. some recent results have shown that more general realisations are also possible. in this paper, we consider a wide class of realisations that may be obtained from the ... | arxiv:hep-th/9204038 |
qed cascades play an important role in extreme astrophysical environments like magnetars. they can also be produced by passing a relativistic electron beam through an intense laser field. signatures of collective pair plasma effects in these qed cascades are shown to appear, in exquisite detail, through plasma - induce... | arxiv:2001.02590 |
we use the matching method to investigate the first - order phase transition in holographic superconductor and superfluid. we first use the simple holographic superconductor model to describe the matching method and mention how to see the first - order phase transition. next, we study the holographic superconductor wit... | arxiv:1307.5614 |
security models have been designed to ensure data is accessed and used in proper manner according to the security policies. unfortunately, human role in designing security models has been ignored. human behavior relates to many security breaches and plays a significant part in many security situations. in this paper, w... | arxiv:1807.06729 |
we demonstrate spectroscopy of incoherent light with sub - diffraction resolution. in a proof - of - principle experiment we analyze the spectrum of a pair of incoherent point - like sources whose separation is below the diffraction limit. the two sources mimic a planetary system, with a brighter source for the star an... | arxiv:2409.01190 |
in this paper different types of compositions involving independent fractional brownian motions b ^ j _ { h _ j } ( t ), t > 0, j = 1, $ are examined. the partial differential equations governing the distributions of i _ f ( t ) = b ^ 1 _ { h _ 1 } ( | b ^ 2 _ { h _ 2 } ( t ) | ), t > 0 and j _ f ( t ) = b ^ 1 _ { h _ ... | arxiv:1003.5276 |
the classical electromagnetic lag assocated with the aharonov - bohm phase shift is obtained by using a darwin - lagrangian analysis similar to that given by coleman and van vleck to identify the puzzling forces of the shockley - james paradox. the classical forces cause changes in particle velocities and so produce a ... | arxiv:physics/0506180 |
we present a novel space - efficient graph coarsening technique for $ n $ - vertex planar graphs $ g $, called cloud partition, which partitions the vertices $ v ( g ) $ into disjoint sets $ c $ of size $ o ( \ log n ) $ such that each $ c $ induces a connected subgraph of $ g $. using this partition $ p $ we construct... | arxiv:2205.06128 |
automated program repair ( apr ) techniques have drawn wide attention from both academia and industry. meanwhile, one main limitation with the current state - of - the - art apr tools is that patches passing all the original tests are not necessarily the correct ones wanted by developers, i. e., the plausible patch pro... | arxiv:2207.06590 |
search for compressed supersymmetry at multi - tev scale, in the presence of a light gravitino dark matter, can get sizable uplift while looking into the associated fat - jets with missing transverse momenta as a signature of the boson produced in the decay process of much heavier next - to - lightest sparticle. we foc... | arxiv:2007.00351 |
in this sequel to the recent work ( see azizi et al., 2015 ), we investigate a subclass of analytic and bi - univalent functions in the open unit disk. we obtain bounds for initial coefficients, the fekete - szeg \ " o inequality and the second hankel determinant inequality for functions belonging to this subclass. we ... | arxiv:1508.07462 |
we describe the lattice deformation in graphene under strain effect by considering the spacial - momenta coordinates do not commute. this later can be realized by introducing the star product to end up with a generalized heisenberg algebra. within such framework, we build a new model describing dirac fermions interacti... | arxiv:2006.04143 |
this paper reviews the status of high temperature superconductors for high field magnets for future devices such as a high energy lhc or a muon collider. some of the primary challenges faced for the implementation of systems are discussed. two conductor technologies, bi $ _ 2 $ sr $ _ 2 $ cacu $ _ 2 $ o $ _ { 8 + x } $... | arxiv:1108.1634 |
computer science is the study of computation, information, and automation. computer science spans theoretical disciplines ( such as algorithms, theory of computation, and information theory ) to applied disciplines ( including the design and implementation of hardware and software ). algorithms and data structures are ... | https://en.wikipedia.org/wiki/Computer_science |
graph symmetries intervene in diverse applications, from enumeration, to graph structure compression, to the discovery of graph dynamics ( e. g., node arrival order inference ). whereas erd \ h { o } s - r \ ' enyi graphs are typically asymmetric, real networks are highly symmetric. so a natural question is whether pre... | arxiv:1607.04102 |
we consider the quadratic derivative nonlinear schr \ " odinger equation ( dnls ) on the circle. in particular, we develop an infinite iteration scheme of normal form reductions for dnls. by combining this normal form procedure with the cole - hopf transformation, we prove unconditional global well - posedness in $ l ^... | arxiv:1509.08139 |
theoretical aspects of transversity observables are reviewed. the main focus is on two leading twist transversity single spin asymmetries, one arising from the collins effect and one from the interference fragmentation functions. electron - positron annihilation experiments which are required to obtain these fragmentat... | arxiv:hep-ph/0109221 |
a detailed study of the absorbing molecular clouds towards the radio source pks1413 + 135, at a redshift z = 0. 247, is reported. physical conditions are derived for the molecular gas in the frame work of two models : a homogeneous multicomponent model with equal filling factors, and a two - phase medium consisting of ... | arxiv:astro-ph/9708051 |
we present results of one - dimensional collisionless simulations of plasma turbulence and related anomalous electron current of the electron cyclotron drift instability ( ecdi ). our highly resolved, long - term simulations of xenon plasma in the magnetic field performed with the warpx particle - in - cell ( pic ) cod... | arxiv:2503.03015 |
generalized ideas of unified dark matter and dark energy in the context of dynamical space time theories with a diffusive transfer of energy are studied. the dynamical space - time theories are introduced a vector field whose equation of motion guarantees a conservation of a certain energy momentum tensor, which may be... | arxiv:1812.06151 |
coherent state operators ( cso ) are defined as operator valued functions on g = sl ( n, c ), homogeneous with respect to right multiplication by lower triangular matrices. they act on a model space containing all holomorphic finite dimensional representations of g with multiplicity 1. cso provide an analytic tool for ... | arxiv:hep-th/9409027 |
we introduce a new system of equations coupling k \ " ahler - einstein and hermitian - yang - mills equations. we provide a moment map interpretation of these equations. we identify a futaki type invariant as an obstruction to the existence of solutions to these equations. we also prove a matsushima - lichnerowicz type... | arxiv:2212.01043 |
abstract. automatically generating scientific literature surveys is a valuable task that can significantly enhance research efficiency. however, the diverse and complex nature of information within a literature survey poses substantial challenges for generative models. in this paper, we design a series of prompts to sy... | arxiv:2408.07884 |
we study invariants defined by count of charged, elliptic $ j $ - holomorphic curves in locally conformally symplectic manifolds. we use this to define $ \ mathbb { q } $ - valued deformation invariants of certain complete riemann - finlser manifolds and their isometries and this is used to find some new phenomena in r... | arxiv:2309.09848 |
stroke - based rendering aims to reconstruct an input image into an oil painting style by predicting brush stroke sequences. conventional methods perform this prediction stroke - by - stroke or require multiple inference steps due to the limitations of a predictable number of strokes. this procedure leads to inefficien... | arxiv:2410.12524 |
we analyze an algorithmic question about immersion theory : for which $ m $, $ n $, and $ cat = \ mathbf { diff } $ or $ \ mathbf { pl } $ is the question of whether an $ m $ - dimensional $ cat $ - manifold is immersible in $ \ mathbb { r } ^ n $ decidable? as a corollary, we show that the smooth embeddability of an $... | arxiv:1812.09413 |
a new method to construct algebro - geometric solutions of rank two schlesinger systems is presented. for an elliptic curve represented as a ramified double covering of cp ^ 1, a meromorphic differential is constructed with the following property : the common projection of its two zeros on the base of the covering, reg... | arxiv:1506.06301 |
we prove that the critical wave maps equation with target $ s ^ 2 $ and origin $ \ mathbb { r } ^ { 2 + 1 } $ admits energy class blow up solutions of the form $ $ u ( t, r ) = q ( \ lambda ( t ) r ) + \ epsilon ( t, r ) $ $ where $ q : \ mathbb { r } ^ 2 \ to s ^ 2 $ is the ground state harmonic map and $ \ lambda ( t... | arxiv:1403.7356 |
we present a jt gravity set up in the presence of projected modmax corrections in two dimensions. our starting point is the einstein ' s gravity in four dimensions accompanied by the modmax lagrangian. the 2d gravity action is obtained following a suitable dimensional reduction which contains a 2d image of the 4d modma... | arxiv:2303.14379 |
electron magnetic circular dichroism ( emcd ) is a powerful technique for estimating element - specific magnetic moments of materials on nanoscale with the potential to reach atomic resolution in transmission electron microscopes. however, the fundamentally weak emcd signal strength complicates quantification of magnet... | arxiv:2306.15866 |
we propose a method for extracting hierarchical backbones from a bipartite network. our method leverages the observation that a hierarchical relationship between two nodes in a bipartite network is often manifested as an asymmetry in the conditional probability of observing the connections to them from the other node s... | arxiv:2002.07239 |
the physical phase space of gauge field theories on a cylindrical spacetime with an arbitrary compact simple gauge group is shown to be the quotient $ { \ bf r } ^ { 2r } / w _ a, $ $ r $ a rank of the gauge group, $ w _ a $ the affine weyl group. the pi formula resulting from dirac ' s operator method contains a symme... | arxiv:hep-th/9308002 |
there are a multitude of emerging imaging technologies that could benefit robotics. however the need for bespoke models, calibration and low - level processing represents a key barrier to their adoption. in this work we present nocal, neural odometry and calibration using light fields, a semi - supervised learning arch... | arxiv:2210.07435 |
we give a brief review of the definition of the wang - yau quasilocal mass and discuss the evaluation of which on surfaces of unit size at null infinity of an axi - symmetric spacetime in bondi - van der burg - metzner coordinates. | arxiv:1901.06948 |
we propose two kinds of distinguishing parameter regimes to induce topological su - schrieffer - heeger ( ssh ) phase in a one dimensional ( 1d ) multi - resonator cavity optomechanical system via modulating the frequencies of both cavity fields and resonators. the introduction of the frequency modulations allows us to... | arxiv:1912.13231 |
we report the discovery of a very young high - mass x - ray binary ( hmxb ) system associated with the supernova remnant ( snr ) mcsnrj0513 - 6724 in the large magellanic cloud ( lmc ), using xmm - newton x - ray observations. the hmxb is located at the geometrical centre of extended soft x - ray emission, which we con... | arxiv:1910.02792 |
in this article, we construct some examples of noncommutative projective calabi - yau schemes by using noncommutative segre products and quantum weighted hypersurfaces. we also compare them with commutative calabi - yau varieties and examples by kanazawa. in particular, we show that some of our constructions are essent... | arxiv:2209.12190 |
here we introduce probabilistic weighted and unweighted multilayer networks as derived from information theoretical correlation measures on large multidimensional datasets. we present the fundamentals of the formal application of probabilistic inference on problems embedded in multilayered environments, providing examp... | arxiv:1808.07857 |
physical unclonable functions ( pufs ), as hardware security primitives, exploit manufacturing randomness to extract hardware instance - specific secrets. one of most popular structures is time - delay based arbiter puf attributing to large number of challenge response pairs ( crps ) yielded and its compact realization... | arxiv:1706.06232 |
based on the concept of a nonequilibrium steady state, we present a novel method to experimentally determine energy landscapes acting on colloidal systems. by measuring the stationary probability distribution and the current in the system, we explore potential landscapes with barriers up to several hundred $ \ kt $. as... | arxiv:0705.0323 |
solar radio observation is a method used to study the sun. it is very important for space weather early warning and solar physics research to automatically classify solar radio spectrums in real time and judge whether there is a solar radio burst. as the number of solar radio burst spectrums is small and uneven, this p... | arxiv:2502.03782 |
bismuth ( 209bi ) is the deepest group v donor in silicon and possesses the most extreme characteristics such as a 9 / 2 nuclear spin and a 1. 5 ghz hyperfine coupling. these lead to several potential advantages for a si : bi donor electron spin qubit compared to the more common phosphorus donor. previous studies on si... | arxiv:1207.3776 |
the study of non - local operators in gauge theory and holography, such as line - operators or interfaces, has attracted significant attention. two - dimensional symmetric product orbifolds are close cousins of higher - dimensional gauge theory. in this work, we construct a novel family of interfaces in symmetric produ... | arxiv:2504.00078 |
the transferable neural network ( transnet ) is a two - layer shallow neural network with pre - determined and uniformly distributed neurons in the hidden layer, and the least - squares solvers can be particularly used to compute the parameters of its output layer when applied to the solution of partial differential eq... | arxiv:2502.19893 |
we investigate special lcs and twisted hamiltonian torus actions on strict lcs manifolds and characterize them geometrically in terms of the minimal presentation. we prove a convexity theorem for the corresponding twisted moment map, establishing thus an analog of the symplectic convexity theorem of atiyah and guillemi... | arxiv:1805.00218 |
we investigate tunneling through a short interacting wire. we identify two temperature regimes ( a ) $ t _ { kondo } < t \ le t ^ { wire } = \ hbar v _ f / k _ bd $ ( $ d $ is the length of the short wire ) and ( b ) $ t < t _ { kondo } \ ll t ^ { wire } $. in the first regime the effective ( renormalized ) electron - ... | arxiv:cond-mat/0312305 |
despite tremendous success of deep neural network in machine learning, the underlying reason for its superior learning capability remains unclear. here, we present a framework based on statistical physics to study dynamics of stochastic gradient descent ( sgd ) that drives learning in neural networks. by using the mini... | arxiv:2101.06509 |
it is well established that the hilbert space for charged particles in a plane subject to a uniform magnetic field can be described by two mutually commuting ladder algebras. we propose a similar formalism for landau level quantization involving two mutually commuting su ( 2 ) algebras. | arxiv:1101.3943 |
we study the dependence of galaxy clustering on luminosity and stellar mass at redshifts z ~ [ 0. 2 - 1 ] using the first zcosmos 10k sample. we measure the redshift - space correlation functions xi ( rp, pi ) and its projection wp ( rp ) for sub - samples covering different luminosity, mass and redshift ranges. we qua... | arxiv:0906.1807 |
quantum neuromorphic computing ( qnc ) is a sub - field of quantum machine learning ( qml ) that capitalizes on inherent system dynamics. as a result, qnc can run on contemporary, noisy quantum hardware and is poised to realize challenging algorithms in the near term. one key issue in qnc is the characterization of the... | arxiv:2211.07075 |
in order to address the asynchronous interference issue for a generalized scenario with multiple primary and multiple secondary receivers, in this paper, we propose an innovative cooperative beamforming technique. in particular, the cooperative beamforming design is formulated as an optimization problem that maximizes ... | arxiv:1405.1802 |
we present an information - theoretic cost function for co - clustering, i. e., for simultaneous clustering of two sets based on similarities between their elements. by constructing a simple random walk on the corresponding bipartite graph, our cost function is derived from a recently proposed generalized framework for... | arxiv:1801.00584 |
disorder has appeared as one of the main mechanisms to induce topologically trivial zero - energy states in superconductor - semiconductor systems, thereby challenging the detection of topological superconductivity and majorana bound states. here we demonstrate that, for disorder in any part of the system, the formatio... | arxiv:2212.06061 |
we analyse the convergence of numerical schemes in the gdm - ellam ( gradient discretisation method - eulerian lagrangian localised adjoint method ) framework for a strongly coupled elliptic - parabolic pde which models miscible displacement in porous media. these schemes include, but are not limited to mixed finite el... | arxiv:1710.01897 |
this thesis deals with three different aspects of the combinatorics of permutations. in the first two papers, two flavours of pattern avoiding permutations are examined ; and in the third paper young tableaux, which are closely related to permutations via representation theory, are studied. in the first paper we give s... | arxiv:0908.0255 |
we study ac conductivities in high - tc cuprates, which offer us significant information to reveal the true electronic ground states. based on the fluctuation - exchange ( flex ) approximation, current vertex corrections ( cvc ' s ) are correctly taken into account to satisfy the conservation laws. we find the signific... | arxiv:cond-mat/0507664 |
this paper was originally submitted to xinova as a response to a request for invention ( rfi ) on new event monitoring methods. in this paper, a new object tracking algorithm using multiple cameras for surveillance applications is proposed. the proposed system can detect sudden - appearance - changes and occlusions usi... | arxiv:1610.09520 |
tensor models are generalizations of matrix models, and are studied as discrete models of quantum gravity for arbitrary dimensions. among them, the canonical tensor model ( ctm for short ) is a rank - three tensor model formulated as a totally constrained system with a number of first - class constraints, which have a ... | arxiv:1509.01432 |
detecting non - classical light is a central requirement for photonics - based quantum technologies. unrivaled high efficiencies and low dark counts have positioned superconducting nanowire single photon detectors ( snspds ) as the leading detector technology for fiber and integrated photonic applications. however, a c... | arxiv:2409.08412 |
the monitoring of data generated by a large number of devices in internet of things ( iot ) systems is an important and complex issue. several studies have explored the use of generic rule engine, primarily based on the rete algorithm, for monitoring the flow of device data. in order to solve the performance problem of... | arxiv:2310.05493 |
it was reported that, if and only if the specific heat, correlation length, and dynamical exponents $ \ alpha, \ nu $ and $ z $, fulfill the condition $ \ alpha - z \ nu > 0 $, the phase transitions can enable a quantum heat engine to approach carnot efficiency at finite power. we start our analysis via a different app... | arxiv:1803.03734 |
evolution in the measured rest frame ultraviolet spectral slope and ultraviolet to optical flux ratios indicate a rapid evolution in the dust obscuration of galaxies during the first 3 billion years of cosmic time ( z > 4 ). this evolution implies a change in the average interstellar medium properties, but the measurem... | arxiv:1503.07596 |
phase stabilization continues to be a critical issue in hafnium oxide ( hfo $ _ 2 $ ) due to the interdependence of various contributing factors. using first - principles calculations, we analyze the effects of strain and doping on stabilizing the ferroelectric phase. we found that combining y - doping, o - vacancy, an... | arxiv:2501.00132 |
we study order reconstruction ( or ) solutions in the beris - edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. or solutions exhibit polydomains and domain walls, and as such, are of physical interest. we show that or solutions exist for passive flows with consta... | arxiv:2204.07808 |
we solve the cauchy problem of the ward model in light - cone coordinates using the inverse spectral ( scattering ) method. in particular we show that the solution can be constructed by solving a $ 2 \ times 2 $ local matrix riemann - hilbert problem which is uniquely defined in terms of the initial data. these results... | arxiv:hep-th/9806035 |
we revisit the calculation of the long - distance contribution to the muon - polarization asymmetry \ delta _ { lr }, which arises, in k ^ + \ to \ pi ^ + \ mu ^ + \ mu ^ -, from the two - photon intermediate state. the parity - violating amplitude of this process, induced by the local anomalous k ^ + \ pi ^ - \ gamma ... | arxiv:hep-ph/0111118 |
we report development of a quantum hall resistance standard accurate to a few parts in a billion at 300 mk and based on large area epitaxial graphene. the remarkable precision constitutes an improvement of four orders of magnitude over the best results obtained in exfoliated graphene and is similar to the accuracy achi... | arxiv:0909.1220 |
noise caused by fluctuations at the molecular level is a fundamental part of intracellular processes. while the response of biological systems to noise has been studied extensively, there has been limited understanding of how to exploit it to induce a desired cell state. here we present a scalable, quantitative method ... | arxiv:1509.03349 |
numerical stochastic perturbation theory was able to get three - ( and even four - ) loop results for finite lattice qcd renormalization constants. more recently, a conceptual and technical framework has been devised to tame finite size effects, which had been reported to be significant for ( logarithmically ) divergen... | arxiv:1310.4981 |
quantum dynamics of many - body systems is a fascinating and significant subject for both theory and experiment. the question of how an isolated many - body system evolves to its steady state after a sudden perturbation or quench still remains challenging. in this paper, using the bethe ansatz wave function, we study t... | arxiv:2201.01025 |
secure multi - party computation ( mpc ) facilitates privacy - preserving computation between multiple parties without leaking private information. while most secure deep learning techniques utilize mpc operations to achieve feasible privacy - preserving machine learning on downstream tasks, the overhead of the computa... | arxiv:2407.18982 |
we present progress on a comprehensive, modular, interactive modeling environment centered on overall regulation of blood pressure and body fluid homeostasis. we call the project saphir, for " a systems approach for physiological integration of renal, cardiac, and respiratory functions ". the project uses state - of - ... | arxiv:0806.2005 |
the purpose of this survey article is a comprehensive study of operator lipschitz functions. a continuous function $ f $ on the real line $ { \ bbb r } $ is called operator lipschitz if $ \ | f ( a ) - f ( b ) \ | \ le { \ rm const } \ | a - b \ | $ for arbitrary self - adjoint operators $ a $ and $ b $. we give suffic... | arxiv:1602.07994 |
flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation ( da ) strategies incorporating various types of observations ; many are derived from spatial earth observation. this paper focuses on the assimilation of 2d flood observations derived from synthetic aperture rad... | arxiv:2304.01058 |
we describe the target selection procedure by which stars are selected for 2 - minute and 20 - second observations by tess. we first list the technical requirements of the tess instrument and ground systems processing that limit the total number of target slots. we then describe algorithms used by the tess payload oper... | arxiv:2109.02665 |
the observed iron k - alpha fluorescence lines in seyfert - 1 galaxies provide strong evidence for an accretion disk near a supermassive black hole as a source of the line emission. these lines serve as powerful probes for examining the structure of inner regions of accretion disks. previous studies of line emission ha... | arxiv:astro-ph/9806134 |
effective biosecurity practices in swine production are key in preventing the introduction and dissemination of infectious pathogens. ideally, biosecurity practices should be chosen by their impact on bio - containment and bio - exclusion, however quantitative supporting evidence is often unavailable. therefore, the de... | arxiv:2106.06506 |
this paper studies the space of $ l ^ 2 $ harmonic forms and $ l ^ 2 $ harmonic spinors on taub - bolt, a ricci - flat riemannian 4 - manifold of alf type. we prove that the space of harmonic square - integrable 2 - forms on taub - bolt is 2 - dimensional and construct a basis. we explicitly find a 2 - parameter family... | arxiv:1812.07512 |
the young radio pulsar j1124 - 5916 is associated with a cas a like supernova remnant g292. 0 + 1. 8. it powers a compact torus - like pulsar wind nebula with a jet first detected in x - rays and then identified in the optical and mid - infrared. we carried out deep near - infrared observations of the pulsar field to i... | arxiv:1304.8105 |
we consider a bayesian functional data analysis for observations measured as extremely long sequences. splitting the sequence into a number of small windows with manageable length, the windows may not be independent especially when they are neighboring to each other. we propose to utilize bayesian smoothing splines to ... | arxiv:2112.05041 |
we have previously presented the idea of how complex multimodal information could be represented in our brains in a compressed form, following mechanisms similar to those employed in machine learning tools, like autoencoders. in this short comment note we reflect, mainly with a didactical purpose, upon the basic questi... | arxiv:2406.09940 |
it is examined finite state automorphisms of regular rooted trees constructed to represent groups $ gl ( n, \ mathbb { z } ) $. the number of states of automorphisms that correspond to elementary matrices is computed. using the representation of $ gl ( 2, \ mathbb { z } ) $ over an alphabet of size $ 4 $ a finite state... | arxiv:2309.01241 |
we study homogenization properties of the discrete laplace operator with random conductances on a large domain in $ \ mathbb { z } ^ d $. more precisely, we prove almost - sure homogenization of the discrete poisson equation and of the top of the dirichlet spectrum. we assume that the conductances are stationary, ergod... | arxiv:1702.02860 |
we propose some finite element schemes to solve a class of fourth - order nonlinear pdes, which include the vector - valued landau - - lifshitz - - baryakhtar equation, the swift - - hohenberg equation, and various cahn - - hilliard - type equations with source and convection terms, among others. the proposed numerical... | arxiv:2309.05530 |
optomechanics, which explores the fundamental coupling between light and mechanical motion, has made important advances in both exploring and manipulating macroscopic mechanical oscillators down to the quantum level. however, dynamical effects related to the vectorial nature of the optomechanical interaction remain to ... | arxiv:1401.6829 |
we study hypersurfaces either in the de sitter space $ \ s _ 1 ^ { n + 1 } \ subset \ r _ 1 ^ { n + 2 } $ or in the anti de sitter space $ \ h _ 1 ^ { n + 1 } \ subset \ r _ 2 ^ { n + 2 } $ whose position vector $ \ psi $ satisfies the condition $ l _ k \ psi = a \ psi + b $, where $ l _ k $ is the linearized operator ... | arxiv:1012.2778 |
in this article, we shall study fundamental bessel functions for $ \ mathrm { gl } _ n ( \ mathbb { f } ) $ arising from the vorono \ " i summation formula for any rank $ n $ and field $ \ mathbb { f } = \ mathbb { r } $ or $ \ mathbb { c } $, with focus on developing their analytic and asymptotic theory. the main impl... | arxiv:1612.03553 |
we explore the two - dimensional extended hubbard model on the triangular lattice in the high doping regime. on - site and nearest - neighbour repulsive interactions are treated in a non - perturbative way by means of extended dynamical mean field theory. we compute the low - temperature phase diagram, displaying a met... | arxiv:1709.07901 |
thermal infrared ( tir ) object tracking often suffers from challenges such as target occlusion, motion blur, and background clutter, which significantly degrade the performance of trackers. to address these issues, this paper pro - poses a novel siamese motion mamba tracker ( smmt ), which integrates a bidirectional s... | arxiv:2505.04088 |
a covariantly constant dynamical two - form is exploited on a $ d _ 3 $ - brane to obtain its gravity dual action, governing an $ s ^ 3 $ deformed $ ads _ 5 $ black hole, in a type iib string theory on $ s ^ 1 \ times k3 $. we invoke the kaluza - klein compactification to work out the open / closed string duality. inte... | arxiv:1002.1906 |
the approach to heteroscedasticity of ref. 1 ( instruments 2022, 6 ( 1 ), 10 ) contains a sketchy application of a sub - optimal method of very easy implementation : the lucky model. the supporting proof of this method could not be inserted in ref. 1. the proof requires the analytical forms of the probability of ref. 2... | arxiv:2205.14538 |
the origin of ultra - high energy cosmic rays ( uhecrs ) is one of the most mystifying issues in astroparticle physics. it has been suggested that gamma - ray bursts ( grbs ) are excellent acceleration sites for cosmic rays. the propagation of uhecrs from the grb host galaxy to the earth should generate delayed seconda... | arxiv:2210.10822 |
most existing text - to - image synthesis tasks are static single - turn generation, based on pre - defined textual descriptions of images. to explore more practical and interactive real - life applications, we introduce a new task - interactive image editing, where users can guide an agent to edit images via multi - t... | arxiv:1812.08352 |
this work explores several aspects of interpolating sequences for $ \ ell ^ p _ a $, the space of analytic functions on the unit disk with $ p $ - summable maclaurin coefficients. much of this work is communicated through a carlesonian lens. we investigate various analogues of gramian matrices, for which we show bounde... | arxiv:2210.05823 |
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