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of scientific revolutions, thomas kuhn argued that the process of observation and evaluation takes place within a " paradigm ", which he describes as " universally recognized achievements that for a time provide model problems and solutions to community of practitioners. " a paradigm implicitly identifies the objects a...
https://en.wikipedia.org/wiki/Philosophy_of_science
this paper provides counterexamples to a previously conjectured upper bound on the first index $ n _ 0 $ at which a zero appears in constant term sequences of the form $ a _ p ( n ) = ct ( p ^ n ) \ mod p $, where $ p ( t ) \ in \ mathbb { z } [ t, t ^ { - 1 } ] $. the conjecture posited that the first zero must occur ...
arxiv:2504.19031
we propose a parameter optimization method for achieving static equilibrium of discrete elastic rods. our method simultaneously optimizes material stiffness and rest shape parameters under box constraints to exactly enforce zero net force while avoiding stability issues and violations of physical laws. for efficiency, ...
arxiv:2412.16461
one of the fundamental problems in extracting the cosmic microwave background signal ( cmb ) from millimeter / submillimeter observations is the pollution by emission from the milky way : synchrotron, free - free, and thermal dust emission. to extract the fundamental cosmological parameters from cmb signal, it is manda...
arxiv:1202.6538
the objective of this paper is to minimize the energy consumption of a quantized min - sum ldpc decoder, by considering aggressive voltage downscaling of the decoder circuit. since low power supply may introduce faults in the memories used by the decoder architecture, this paper proposes to optimize the energy consumpt...
arxiv:2108.11812
we study the question of when a given countable ordinal $ \ alpha $ is $ \ sigma ^ 1 _ n $ - or $ \ pi ^ 1 _ n $ - reflecting in models which are neither $ \ mathsf { pd } $ models nor the constructible universe, focusing on generic extensions of $ l $. we prove, amongst other things, that adding any number of cohen or...
arxiv:2311.12533
we construct a new, simple phenomenological model along the lines of ads / qcd. the essential new ingredient is the brane - antibrane effective action including the open string tachyon proposed by sen. chiral symmetry breaking happens because of tachyon dynamics. we fit a large number of low - spin meson masses at the ...
arxiv:1003.2377
three - dimensional thermoelastic analysis in presence of electro magnetic field is investigated of a rectangular plate. in the context of green - naghdi model - ii, fractional order energy equation is adopted for a rotating anisotropic rectangular plate which is subjected to simply supported and isothermal on its four...
arxiv:1808.07423
we report the first comprehensive study of emission line variability in an accreting young brown dwarf. we have collected 14 high - resolution optical spectra of 2massw j1207334 - 393254 ( m8 ), a likely member of the nearby 8 - million - year - old tw hydrae association. these spectra show a variety of emission lines ...
arxiv:astro-ph/0507122
let $ x $ be a surface of degree $ n $, projected onto $ \ mathbb { cp } ^ 2 $. the surface has a natural galois cover with galois group $ s _ n. $ it is possible to determine the fundamental group of a galois cover from that of the complement of the branch curve of $ x. $ in this paper we survey the fundamental groups...
arxiv:1005.4203
text - to - image diffusion - based generative models have the stunning ability to generate photo - realistic images and achieve state - of - the - art low fid scores on challenging image generation benchmarks. however, one of the primary failure modes of these text - to - image generative models is in composing attrib...
arxiv:2406.07844
motivated by recent results of $ n $ th order muffin - tin orbital ( nmto ) implementation of the density functional theory ( dft ), we re - examine low - temperature ground - state properties of the anti - ferromagnetic insulating phase of vanadium sesquioxide v $ _ 2 $ o $ _ 3 $. the hopping matrix elements obtained ...
arxiv:0904.2757
the linear and nonlinear properties of the rao - dust - magnetohydrodynamic ( r - d - mhd ) waves in a dusty magnetoplasma are studied. by employing the inertialess electron equation of motion, inertial ion equation of motion, amp \ ` ere ' s law, faraday ' s law, and the continuity equation in a plasma with immobile c...
arxiv:physics/0402050
the discovery of supersymmetry is one of the major goals of the current experiments at the tevatron and in proposed experiments at the large hadron collider ( lhc ). however when sparticles are produced the signatures of their production will to a significant degree depend on their hierarchical mass patterns. here we i...
arxiv:0808.3157
an important part of textual inference is making deductions involving monotonicity, that is, determining whether a given assertion entails restrictions or relaxations of that assertion. for instance, the statement ' we know the epidemic spread quickly ' does not entail ' we know the epidemic spread quickly via fleas ',...
arxiv:0906.2415
the purpose of this article is to expose and further develop a simple yet surprisingly far - reaching framework for generating monotone quantities for positive solutions to linear heat equations in euclidean space. this framework is intimately connected to the existence of a rich variety of algebraic closure properties...
arxiv:1509.01949
exoplanet discoveries over recent years have shown that terrestrial planets are exceptionally common. many of these planets are in compact systems that result in complex orbital dynamics. a key step toward determining the surface conditions of these planets is understanding the latitudinally dependent flux incident at ...
arxiv:1709.09240
current submillimetre surveys are hindered in their ability to reveal detailed information on the epoch of galaxy formation and the evolutionary history of a high - redshift starburst galaxy population. the difficulties are due to the small primary apertures ( d < 15 m ) of existing submillimetre telescopes and the lim...
arxiv:astro-ph/0004002
in this paper, we present a method for factor analysis of discrete data. this is accomplished by fitting a dependent poisson model with a factor structure. to be able to analyze ordinal data, we also consider a truncated poisson distribution. we try to find the model with the lowest aic by employing a forward selection...
arxiv:1903.04919
we introduce the notion of a totally ( $ k $ - ) bounded element of a w * - probability space $ ( m, \ varphi ) $ and, borrowing ideas of kadison, give an intrinsic characterization of the $ ^ * $ - subalgebra $ m _ { tb } $ of totally bounded elements. namely, we show that $ m _ { tb } $ is the unique strongly dense $...
arxiv:2501.14153
we discuss how internal rotation with fixed angular frequency can affect the solitons in the baby skyrme model in which the global o ( 3 ) symmetry is broken to the so ( 2 ). two particular choices of the potential term are considered, the " old " potential and the " new " double vacuum potential, we do not impose any ...
arxiv:1309.4318
with the extraordinary maturity of data exchange in network environments and increasing the attackers capabilities, information security has become the most important process for data storage and communication. in order to provide such information security the confidentiality, data integrity, and data origin authentica...
arxiv:1504.03406
we observe and comprehend the dynamical coulomb blockade suppression of the electrical conductance across an electronic quantum channel submitted to a temperature difference. a broadly tunable, spin - polarized ga ( al ) as quantum channel is connected on - chip, through a micron - scale metallic node, to a linear $ rc...
arxiv:2104.03812
in this paper, a method for the digital simulation of wind velocity fields by fractional spectral moment function is proposed. it is shown that by constructing a digital filter whose coefficients are the fractional spectral moments, it is possible to simulate samples of the target process as superposition of riesz frac...
arxiv:1212.3845
historically, spectroscopic techniques have been essential for studying the optical properties of thin solid films. however, existing formulae for both normal transmission and reflection spectroscopy often rely on simplified theoretical assumptions, which may not accurately align with real - world conditions. for insta...
arxiv:2409.02323
any n = 2 superconformal field theory ( scft ) in four dimensions has a sector of operators related to a two - dimensional chiral algebra containing a virasoro sub - algebra. moreover, there are well - known examples of isolated scfts whose chiral algebra is a virasoro algebra. in this note, we consider the chiral alge...
arxiv:1603.00887
query performance prediction ( qpp ) is a core task in information retrieval. the qpp task is to predict the retrieval quality of a search system for a query without relevance judgments. research has shown the effectiveness and usefulness of qpp for ad - hoc search. recent years have witnessed considerable progress in ...
arxiv:2305.10923
model extraction attacks are a kind of attacks where an adversary obtains a machine learning model whose performance is comparable with one of the victim model through queries and their results. this paper presents a novel model extraction attack, named tempest, applicable on tabular data under a practical data - free ...
arxiv:2109.14857
this paper presents the measured sensitivity of csiro ' s first mk. ii phased array feed ( paf ) on an askap antenna. the mk. ii achieves a minimum system - temperature - over - efficiency $ t _ \ mathrm { sys } / \ eta $ of 78 k at 1. 23 ghz and is 95 k or better from 835 mhz to 1. 8 ghz. this paf was designed for the...
arxiv:1509.00544
hierarchies are of fundamental interest in both stochastic optimal control and biological control due to their facilitation of a range of desirable computational traits in a control algorithm and the possibility that they may form a core principle of sensorimotor and cognitive control systems. however, a theoretically ...
arxiv:1801.00048
the growing popularity of virtual and augmented reality communications and 360 { \ deg } video streaming is moving video communication systems into much more dynamic and resource - limited operating settings. the enormous data volume of 360 { \ deg } videos requires an efficient use of network bandwidth to maintain the...
arxiv:1803.08177
counterfactual prediction is about predicting outcome of the unobserved situation from the data. for example, given patient is on drug a, what would be the outcome if she switch to drug b. most of existing works focus on modeling counterfactual outcome based on static data. however, many applications have time - varyin...
arxiv:2010.15028
in this paper, we propose a novel cross - attention - based generative adversarial network ( gan ) for the challenging person image generation task. cross - attention is a novel and intuitive multi - modal fusion method in which an attention / correlation matrix is calculated between two feature maps of different modal...
arxiv:2501.08900
high - dimensional biphoton states are promising resources for quantum applications, ranging from high - dimensional quantum communications to quantum imaging. a pivotal task is fully characterising these states, which is generally time - consuming and not scalable when projective measurement approaches are adopted. ho...
arxiv:2301.13046
edge states of semi - infinite nanowires in tight binding limit are examined. we argue that understanding these edge states provides a pathway to generic comprehension of surface states in many semi - infinite physical systems. it is shown that the edge states occur within the gaps of the corresponding bulk spectrum ( ...
arxiv:cond-mat/0411430
accreting neutron stars ( nss ) are expected to emit a redshifted 2. 2 mev line due to the capture of neutrons produced through the spallation processes of $ ^ 4 $ he and heavier ions in their atmospheres. detecting this emission would offer an independent method for constraining the equation of state of nss and provid...
arxiv:2409.05535
we use the method of darboux coverings to discuss the invariant submanifolds of the kp equations, presented as conservation laws in the space of monic laurent series in the spectral parameter ( the space of the hamiltonian densities ). we identify a special class of these submanifolds with the rational invariant subman...
arxiv:solv-int/9610002
the formation of cosmic structures is an important diagnostic for both the dynamics of the cosmological model and the underlying theory of gravity. at the linear level of these structures, certain degeneracies remain between different cosmological models and alternative gravity theories. it is thus indispensable to stu...
arxiv:1901.01041
we study singular radially symmetric solution to the lin - ni - takagi equation for a supercritical power non - linearity in dimension $ n \ geq 3 $. it is shown that for any ball and any $ k \ geq 0 $, there is a singular solution that satisfies neumann boundary condition and oscillates at least $ k $ times around the...
arxiv:2002.07887
in this paper, we generalize the results of ( $ \ textit { groups, geom. dyn. } $, forthcoming ) to describe the split left - invariant riemannian distances on higher - rank sol - type groups $ g = \ mathbf { n } \ rtimes \ mathbb { r } ^ k $. we show that the rough isometry type of such a distance is determined by a s...
arxiv:2412.11290
language technology, often called human language technology ( hlt ), studies methods of how computer programs or electronic devices can analyze, produce, modify or respond to human texts and speech. working with language technology often requires broad knowledge not only about linguistics but also about computer scienc...
https://en.wikipedia.org/wiki/Language_technology
we prove p. alexandersson ' s conjecture that for every complex polynomial $ p $ of degree $ d \ geq 2 $ the convex hull $ h _ p $ of the julia set $ j _ p $ of $ p $ satisfies $ p ^ { - 1 } ( h _ p ) \ subset h _ p $. we further prove that the equality $ p ^ { - 1 } ( h _ p ) = h _ p $ is achieved only if $ p $ is aff...
arxiv:2004.12521
recently, several exotic bosons have been confirmed as multi - quark states, but there are violent disputes about their inner structures, namely if they are molecular states or tetraquarks, or even mixtures of the two structures. it would be interesting to experimentally search for non - strange four - quark states wit...
arxiv:1612.08390
chemical kinetic mechanisms can be represented by sets of elementary reactions that are easily translated into mathematical terms using physicochemical relationships. the schematic representation of reactions captures the interactions between reacting species and products. determining the minimal chemical interactions ...
arxiv:1712.06281
the southern wide - field gamma - ray observatory ( swgo ) collaboration is currently engaged in design and prototyping work towards the realisation of this future gamma - ray facility. swgo will complement cta and the existing ground - particle based - detectors of the northern hemisphere ( hawc and lhaaso ) with a ve...
arxiv:2111.13158
parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. such equations are numerically challenging as they require large - scale computations and the usage of parallel hardware. domain decomposition is a common choice of n...
arxiv:2503.05267
bessel - type convolution algebras of bounded borel measures on the matrix cones of positive semidefinite $ q \ times q $ - matrices over $ \ mathbb r, \ mathbb c, \ mathbb h $ were introduced recently by r \ " osler. these convolutions depend on some continuous parameter, generate commutative hypergroup structures and...
arxiv:math/0603017
a mathematical model of the natural origin of our universe is presented. the model is based only on well - established physics. no claim is made that this model uniquely represents exactly how the universe came about. but the viability of a single model serves to refute any assertions that the universe cannot have come...
arxiv:0710.3137
we consider decay of metastable states of forced vibrations of a quantum oscillator close to bifurcation points, where dissipation becomes effectively strong. we show that decay occurs via quantum activation over an effective barrier. the decay probability $ w $ scales with the distance $ \ eta $ to the bifurcation poi...
arxiv:cond-mat/0606198
given $ n $ pairwise disjoint sets $ x _ 1, \ ldots, x _ n $, we call the elements of $ s = x _ 1 \ times \ ldots \ times x _ n $ strings. a nonempty set of strings $ w \ subseteq s $ is said to be well - connected if for every $ v \ in w $ and for every $ i \, ( 1 \ le i \ le n ) $, there is another element $ v ' \ in...
arxiv:2102.10704
we consider a keller - segel model with non - linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than newtonian interaction. here, the nonlinear diffusion is chosen to be $ \ frac { 2d } { d + 2s } < m < 2 - \ frac { 2s } { d } $ in which cas...
arxiv:2306.16870
image captioning is shown to be able to achieve a better performance by using scene graphs to represent the relations of objects in the image. the current captioning encoders generally use a graph convolutional net ( gcn ) to represent the relation information and merge it with the object region features via concatenat...
arxiv:2107.14178
the electron - photon interaction in 2d materials obeys the rule of electron valley - photon polarization correspondence. at the quantum level, such correspondence can be utilized to entangle valleys and polarizations and attain the transfer of quantum states ( or information ) between valley and photon qubits. our wor...
arxiv:1701.06131
objective : endobronchial valves are a minimally invasive treatment for emphysema. after bronchoscopic placement the valves reduce the flow of air into targeted areas of the lung, causing collapse, and allowing the remainder of the lung to function more effectively. approach : x - ray velocimetry is a novel method that...
arxiv:2502.19780
we present a heuristic strategy for marginal map ( mmap ) queries in graphical models. the algorithm is based on a reduction of the task to a polynomial number of marginal inference computations. given an input evidence, the marginals mass functions of the variables to be explained are computed. marginal information ga...
arxiv:2002.04827
we define generalized hamming weights for almost affine codes. we show how various aspects and applications of generalized hamming weights for linear codes, such as wei duality, generalized kung ' s bound, profiles, connection to wire - tap channels of type ii, apply to the larger class of almost affine codes in genera...
arxiv:1601.01504
the generalized stacking fault ( gsf ) energy surfaces have received considerable attention due to their close relation to the mechanical properties of solids. we present a detailed study of the gsf energy surfaces of silicon within the framework of density functional theory. we have calculated the gsf energy surfaces ...
arxiv:mtrl-th/9604006
prior work has shown that analyzing the use of first - person singular pronouns can provide insight into individuals ' mental status, especially depression symptom severity. these findings were generated by counting frequencies of first - person singular pronouns in text data. however, counting doesn ' t capture how th...
arxiv:2310.03232
this contribution to the published proceedings records the opening talk i presented on the first morning of the 2005 international linear collider workshop in snowmass, co, august 14 - 27, 2005. it includes a summary of the motivation for the workshop, the scientific goals and charges for the working groups, the initia...
arxiv:hep-ph/0602117
insights from stripe incommensurabilities and antiferromagnetic stability indicate that the magnetic moments of both host cu ^ 2 + ions and cu atoms from electron doping support the thermal hall effect in cuprates, whereas those of o atoms from hole doping oppose it.
arxiv:2201.13203
we propose a model for co - evolving ecosystems that takes into account two levels of description of an organism, for instance genotype and phenotype. performance at the macroscopic level forces mutations at the microscopic level. these, in turn, affect the dynamics of the macroscopic variables. in some regions of para...
arxiv:adap-org/9905001
a redundant generating function is a generating function having terms which are not part of the solution of the original problem. we use redundant generating functions to study two path problems. in the first application we explain a surprising occurrence of catalan numbers in counting paths that stay below the line y ...
arxiv:1107.3870
we quantitatively study the percentage of fake events present in ccqe and ccres interactions and the impact of final state interactions on the neutrino oscillation parameters at dune. resonance interaction will be the most dominant interaction in the oscillation sensitive region of dune. the effect of final - state int...
arxiv:1804.02191
this chapter presents the bilevel optimization library of the test problems ( bolib for short ), which contains a collection of test problems, with continuous variables, to help support the development of numerical solvers for bilevel optimization. the library contains 173 examples with 138 nonlinear, 24 linear, and 11...
arxiv:1812.00230
predictions of the existence of well - defined deeply bound pionic atom states for heavy nuclei and the eventual observation of such states by the ( d, 3he ) reaction have revived interest in the pion - nucleus interaction at threshold and in its relation to the corresponding pion - nucleon interaction. explanation of ...
arxiv:nucl-th/0607049
in this paper, we make the first attempt to apply the boundary integrated neural networks ( binns ) for the numerical solution of two - dimensional ( 2d ) elastostatic and piezoelectric problems. binns combine artificial neural networks with the well - established boundary integral equations ( bies ) to effectively sol...
arxiv:2308.01053
we revisit completion modulo equational theories for left - linear term rewrite systems where unification modulo the theory is avoided and the normal rewrite relation can be used in order to decide validity questions. to that end, we give a new correctness proof for finite runs and establish a simulation result between...
arxiv:2405.17109
we demonstrate that widom ' s particle insertion technique provides a convenient and efficient method to determine the effective pair interaction between complex, composite soft - matter particles in the zero - density limit. by means of three different test systems, i. e. amphiphilic dendrimers, electrostatic polymers...
arxiv:1010.1422
we calculate the radial surface brightness profile of the image of a gamma - ray - burst ( grb ) afterglow. the afterglow spectrum consists of several power - law segments separated by breaks. the image profile changes considerably across each of the spectral breaks. it also depends on the density profile of the ambien...
arxiv:astro-ph/0101234
we derive the formula for the stationary states of particle - number conserving exclusion processes infinitesimally perturbed by inhomogeneous adsorption and desorption. the formula not only proves but also generalises the conjecture proposed in arxiv : 1711. 06949 to account for inhomogeneous adsorption and desorption...
arxiv:2406.02675
the copper ferrite thin films have been deposited by rf sputtering at a 50w rf power. the as - deposited films are annealed in air at $ 800 ^ { \ circ } $ c and then slow cooled. the as - deposited ( ad ) as well as slow cooled ( sc ) films are studied using a squid magnetometer. the m vs h curves have been recorded at...
arxiv:1010.1882
software dependence networks are shown to be scale - free and asymmetric. we then study how software components are affected by the failure of one of them, and the inverse problem of locating the faulty component. software at all levels is fragile with respect to the failure of a random single component. locating a fau...
arxiv:cond-mat/0306509
the effect of ultrashort laser - induced morphological changes upon irradiation of silicon with double pulse sequences is investigated under conditions that lead to mass removal. the temporal delay between twelve double and equal - energy pulses ( ep = 0. 24j / cm2 each, with pulse duration tp = 430fs, 800nm laser wave...
arxiv:1307.8267
we study the quantization of a scalar field on a classical background given by the szekeres class of solutions, which represent the collision of two gravitational plane waves with constant polarization. these solutions consist of two approaching gravitational plane waves moving in a flat background and an interaction r...
arxiv:gr-qc/9802055
we propose in this paper a polynomial representation of tu - games, fuzzy measures, capacities, and more generally set functions. our representation needs a countably infinite set of players and the natural ordering of finite sets of $ \ mathbb { n } $, defined recursively. for a given basis of the vector space of game...
arxiv:2401.12741
graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. despite achieving significant progress in exploiting both attributed and structured data information, graph clustering methods often face practical challenges related to data isolation. moreover, the ...
arxiv:2411.12329
we study the effects of the ionizing and dissociating photons produced by popiii objects on the surrounding intergalactic medium. we find that the typical size of a h _ 2 photodissociated region, r _ d ~ 1 - 5 kpc, is smaller than the mean distance between sources at z ~ 20 - 30, but larger than the ionized region by a...
arxiv:astro-ph/9811137
this paper has been withdrawn for extensive revision.
arxiv:cond-mat/9812023
we study the acylindrical hyperbolicity of the outer automorphism group of a right - angled artin group $ a _ \ gamma $. when the defining graph $ \ gamma $ has no sil - pair ( separating intersection of links ), we obtain a necessary and sufficient condition for $ \ mathrm { out } ( a _ \ gamma ) $ to be acylindricall...
arxiv:2405.19702
deeplearning has been used to solve complex problems in various domains. as it advances, it also creates applications which become a major threat to our privacy, security and even to our democracy. such an application which is being developed recently is the " deepfake ". deepfake models can create fake images and vide...
arxiv:2004.14178
the self - consistent matter coupling is found in a broad class of minimally modified gravity theories which was discovered recently. all constraints in the theories remain first class and thus a graviton has only 2 local degrees of freedom. the cosmological solution of one of the examples in this class, the so - calle...
arxiv:1811.02467
we explore the structural properties of anomalous fluids confined in a nanopore using molecular dynamics simulations. the fluid is modeled by core - softened ( cs ) potentials that have a repulsive shoulder and an attractive well at a further distance. changing the attractive well depth of the fluid - fluid interaction...
arxiv:1410.5525
nowadays, the development of web applications supporting distributed user interfaces ( dui ) is straightforward. however, it is still hard to find web sites supporting this kind of user interaction. although studies on this field have demonstrated that dui would improve the user experience, users are not massively empo...
arxiv:1906.01410
we present a direct detection of the stellar halo of the edge - on s0 galaxy ngc 3957, using ultra - deep vlt / vimos v and r images. this is achieved with a sky subtraction strategy based on infrared techniques. these observations allow us to reach unprecedented high signal - to - noise ratios up to 15 kpc away from t...
arxiv:1001.3067
relativistic coupled - cluster calculations of the ionization potential, dissociation energy, and excited electronic states under 35, 000 cm $ ^ { - 1 } $ are presented for the actinium monofluoride ( acf ) molecule. the ionization potential is calculated to be ip $ _ e = 48, 866 $ cm $ ^ { - 1 } $, and the ground stat...
arxiv:2305.06932
this paper proposes a joint channel and data estimation ( jcde ) algorithm for uplink multiuser extremely large - scale multiple - input - multiple - output ( xl - mimo ) systems. the initial channel estimation is formulated as a sparse reconstruction problem based on the angle and distance sparsity under the near - fi...
arxiv:2406.19289
in this paper we examine methods for taking game - related information provided in one sensory modality and transforming it to another sensor modality in order to more effectively accommodate sensory - constrained players. we then consider methods for the adaptation and design of games for which gameplay interactions a...
arxiv:2106.09763
we initiate the classification of unitary superconformal defects in unitary superconformal field theories ( scft ) of diverse spacetime dimensions $ 3 \ leq d \ leq 6 $. our method explores general constraints from the defect superconformal symmetry, unitarity, as well as consistency conditions of local bulk - defect c...
arxiv:2009.06650
we prove an optimal mixing time bound on the single - site update markov chain known as the glauber dynamics or gibbs sampling in a variety of settings. our work presents an improved version of the spectral independence approach of anari et al. ( 2020 ) and shows $ o ( n \ log { n } ) $ mixing time on any $ n $ - verte...
arxiv:2011.02075
we linearize the artin representation of the braid group given by ( right ) automorphisms of a free group providing a linear faithful representation of the braid group. this result is generalized to obtain linear representations for the coloured braid groupoid and pure braid group too. applications to some areas of two...
arxiv:hep-th/9210020
a qualitative calculation and discussion of two vortex states collisions are given in the scalar $ \ phi ^ 4 $ model. three kinds of vortex states - - bessel, general monochromatic, and laguerre - gaussian vortex states - - are considered. it is found that the total final momentum distribution in collision of physical ...
arxiv:2312.00424
neutrinoless double beta decay can significantly help to shed light on the issue of non - zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are majorana particles. however, the underlying interaction does not have to be as simple as the standard neutrino mass mechanism. th...
arxiv:1806.06058
we consider a simple massive extension of the landau - dewitt gauge for su ( $ n $ ) yang - mills theory. we compute the corresponding one - loop effective potential for a temporal background gluon field at finite temperature. at this order the background field is simply related to the polyakov loop, the order paramete...
arxiv:1407.6469
in this article, we deal with fractional stochastic differential equations, so - called caputo type fractional backward stochastic differential equations ( caputo fbsdes, for short ), and study the well - posedness of an adapted solution to caputo fbsdes of order $ \ alpha \ in ( \ frac { 1 } { 2 }, 1 ) $ whose coeffic...
arxiv:2109.11461
we study the closure of the convex hull of a compact set in a complete cat ( 0 ) space. first we give characterization results in terms of compact sets and the closure of their convex hulls for locally compact cat ( 0 ) spaces that are either regular or satisfy the geodesic extension property. later inspired by a geome...
arxiv:2109.06002
this work introduces a novel graph neural networks ( gnns ) - based method to predict stream water temperature and reduce model bias across locations of different income and education levels. traditional physics - based models often have limited accuracy because they are necessarily approximations of reality. recently,...
arxiv:2412.16523
we study distribution - free property testing and learning problems where the unknown probability distribution is a product distribution over $ \ mathbb { r } ^ d $. for many important classes of functions, such as intersections of halfspaces, polynomial threshold functions, convex sets, and $ k $ - alternating functio...
arxiv:2007.07449
dark matter ( dm ) and neutrinos are the two most compelling pieces of evidence of new physics beyond the standard model of particle physics but these are often treated as belonging to two different sectors. yet dm - neutrino interactions are known to have cosmological consequences. here, we study the scenario of a sca...
arxiv:1705.03692
measuring personal disclosures made in human - chatbot interactions can provide a better understanding of users ' ai literacy and facilitate privacy research for large language models ( llms ). we run an extensive, fine - grained analysis on the personal disclosures made by real users to commercial gpt models, investig...
arxiv:2407.11438
magnetic domain walls are topological solitons whose internal structure is set by competing energies which sculpt them. in common ferromagnets, domain walls are known to be of either bloch or n \ ' eel types. little is established in the case of mn $ _ 3 $ sn, a triangular antiferromagnet with a large room - temperatur...
arxiv:1903.03774