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ionization by relativistically intense laser pulses of finite duration is considered in the framework of strong - field quantum electrodynamics. our main focus is on the formation of ionization supercontinua. more specifically, when studying the energy distributions of photoelectrons ionized by circularly polarized pul...
arxiv:1508.00546
the study of time lags between spikes in gamma - ray burst light curves in different energy bands as a function of redshift may lead to the detection of effects due to quantum gravity. we present an analysis of 15 gamma - ray bursts with measured redshift, detected by the hete - 2 mission in order to measure time lags ...
arxiv:astro-ph/0603725
we present an approach for compressing volumetric scalar fields using implicit neural representations. our approach represents a scalar field as a learned function, wherein a neural network maps a point in the domain to an output scalar value. by setting the number of weights of the neural network to be smaller than th...
arxiv:2104.04523
a finitely generated shift invariant space $ v $ is a closed subspace of $ l ^ 2 ( \ r ^ d ) $ that is generated by the integer translates of a finite number of functions. a set of frame generators for $ v $ is a set of functions whose integer translates form a frame for $ v $. in this note we give necessary and suffic...
arxiv:1305.2944
given a probability measure on a finitely generated group, its martin boundary is a way to compactify the group using the green function of the corresponding random walk. it is known from the work of w. woess that when a finitely supported random walk on a free product of abelian groups is adapted to the free product s...
arxiv:1709.07738
finite element methods for a model elliptic distributed optimal control problem with pointwise state constraints are considered from the perspective of fourth order boundary value problems.
arxiv:2008.08141
in the manufacturing process of heavy industrial equipment, the specific unit in the welding diagram is first manually redrawn and then the corresponding sheet metal parts are cut, which is inefficient. to this end, this paper proposes a u - net - based method for the segmentation and extraction of specific units in we...
arxiv:2209.14102
we introduce a bayesian method for the estimation of single qubit errors in quantum devices, and use it to characterize these errors on three 27 - qubit superconducting qubit devices. we self - consistently estimate up to seven parameters of each qubit ' s state preparation, readout, and gate errors, analyze the stabil...
arxiv:2108.10686
motivated by the development and deployment of large - scale dynamical systems, often composed of geographically distributed smaller subsystems, we address the problem of verifying their controllability in a distributed manner. in this work we study controllability in the structural system theoretic sense, structural c...
arxiv:1506.05770
experience using hardware knobs as an operator interface for controlling equipment has varied considerably at different facilities. reactions have ranged from " indispensable " at some facilities, to " virtually useless " at others. in this paper, we will attempt to outline some basic principles for successful knob imp...
arxiv:physics/0111082
flow cytometry is a widespread and powerful technique, whose resolution is determined by its capacity to accurately distinguish fluorescently positive populations from negative ones. however, most informative results are discarded while performing the measurements of conventional flow cytometry, e. g., the cell size, s...
arxiv:2301.10185
this paper, to appear in the ` ` notices of the ams ' ' 2024, is a modified version of a text already appeared in this journal, feb. 2007 after a first publication in french, in ` ` la gazette des math { \ ' e } maticiens ' ' 97 ( 2003 ) on the occasion of sato ' s reception of the 2002 / 2003 wolf prize.
arxiv:2402.15553
we consider the effect of electromagnetic coupling between localized surface plasmons in a metallic nanoparticle ( np ) and excitons or weakly interacting electron - hole pairs in a semiconductor matrix where the np is embedded. an expression is derived for the np polarizability renormalized by this coupling and two po...
arxiv:1810.02402
it was conjectured by \ v { c } ern \ ' y in 1964, that a synchronizing dfa on $ n $ states always has a shortest synchronizing word of length at most $ ( n - 1 ) ^ 2 $, and he gave a sequence of dfas for which this bound is reached. until now a full analysis of all dfas reaching this bound was only given for $ n \ leq...
arxiv:1703.07618
in this note we give the formula for the bellman function associated with the problem considered by b. davis in \ cite { davis } in 1976. in this article the estimates of the type $ \ | sf \ | _ p \ le c _ p \ | f \ | _ p $, $ p \ ge 2 $, were considered for the dyadic square function operator $ s $, and davis found th...
arxiv:1809.06469
most state - of - the - art point trackers are trained on synthetic data due to the difficulty of annotating real videos for this task. however, this can result in suboptimal performance due to the statistical gap between synthetic and real videos. in order to understand these issues better, we introduce cotracker3, co...
arxiv:2410.11831
a shift - periodic map is a one - dimensional map from the real line to itself which is periodic up to a linear translation and allowed to have singularities. it is shown that iterative sequences $ x _ { n + 1 } = f ( x _ n ) $ generated by such maps display rich dynamical behaviour. the integer parts $ \ lfloor x _ n ...
arxiv:1811.03070
variational auto - encoders ( vae ) are popular deep latent variable models which are trained by maximizing an evidence lower bound ( elbo ). to obtain tighter elbo and hence better variational approximations, it has been proposed to use importance sampling to get a lower variance estimate of the evidence. however, imp...
arxiv:2106.15921
cross - modal hashing aims to map heterogeneous multimedia data into a common hamming space, which can realize fast and flexible retrieval across different modalities. supervised cross - modal hashing methods have achieved considerable progress by incorporating semantic side information. however, they mainly have two l...
arxiv:1802.02488
evaluating the quality of generated text automatically remains a significant challenge. conventional reference - based metrics have been shown to exhibit relatively weak correlation with human evaluations. recent research advocates the use of large language models ( llms ) as source - based metrics for natural language...
arxiv:2504.02106
let $ \ mathcal { h } $ be a complex hilbert space and $ t : \ mathcal { h } \ to \ mathcal { h } $ be a contraction. let $ $ a _ nf = \ frac { 1 } { n } \ sum _ { j = 1 } ^ nt ^ jf $ $ for $ f \ in \ mathcal { h } $. let $ ( n _ k ) $ be a sequence satisfying $ \ beta \ geq n _ { k + 1 } / n _ k \ geq \ alpha > 1 $ fo...
arxiv:2107.14030
a new generation of sensors, hardware random number generators, and quantum and classical signal detectors are exploiting strong responses to external perturbations of system noise. here, we study noise amplification by asymmetric dyads in freely expanding non - hermitian optical systems. we show that modifications of ...
arxiv:2206.12200
we develop a new quantifier for forward time uncertainty for trajectories that are solutions of models generated from data sets. our uncertainty quantifier is defined on the phase space in which the trajectories evolve and we show that it has a rich structure that is directly related to phase space structures from dyna...
arxiv:2103.05439
su - schrieffer - heeger ( ssh ) model on two - dimensional square lattice exhibits a topological phase transition, which is related to the zak phase determined by bulk band topology. the strong modulation of electron hopping causes nontrivial charge polarization even in the presence of inversion symmetry. the energy b...
arxiv:1906.06993
given a real projective curve with homogeneous coordinate ring r and a nonnegative homogeneous element f in r, we bound the degree of a nonzero homogeneous sum - of - squares g in r such that the product fg is again a sum of squares. better yet, our degree bounds only depend on geometric invariants of the curve and we ...
arxiv:1605.08330
we develop an analytic framework for lefschetz fixed point theory and morse theory for hilbert complexes on stratified pseudomanifolds. we develop formulas for both global and local lefschetz numbers and morse, poincar \ ' e polynomials as ( polynomial ) supertraces over cohomology groups of hilbert complexes, developi...
arxiv:2309.15845
this paper investigates optimal trading strategies in a financial market with multidimensional stock returns where the drift is an unobservable multivariate ornstein - uhlenbeck process. information about the drift is obtained by observing stock returns and expert opinions. the latter provide unbiased estimates on the ...
arxiv:1601.08155
we provide sufficient conditions for the existence of periodic solutions of the of the lorentz force equation, which models the motion of a charged particle under the action of an electromagnetic fields. the basic assumptions cover relevant models with singularities like coulomb - like electric potentials or the magnet...
arxiv:2103.09544
in this paper is extended the original theorem by fueter - sce ( assigning an $ \ mathbb r _ { 0, m } $ - valued monogenic function to a $ \ mathbb c $ - valued holomorphic function ) to the higher order case. we use this result to prove fueter ' s theorem with an extra monogenic factor $ p _ k ( x _ 0, \ underline x )...
arxiv:0912.1635
humor generation is a challenging task in natural language processing due to limited resources and the quality of existing datasets. available humor language resources often suffer from toxicity and duplication, limiting their effectiveness for training robust models. this paper proposes cleancomedy, a specialized, par...
arxiv:2412.09203
engineering disciplines often rely on extensive simulations to ensure that structures are designed to withstand harsh conditions while avoiding over - engineering for unlikely scenarios. assessments such as serviceability limit state ( sls ) involve evaluating weather events, including estimating loads not expected to ...
arxiv:2503.01242
approximate message passing ( amp ) is an algorithmic framework for solving linear inverse problems from noisy measurements, with exciting applications such as reconstructing images, audio, hyper spectral images, and various other signals, including those acquired in compressive signal acquisiton systems. the growing p...
arxiv:1702.03049
the primary goal of this paper is to systematically exploit the method of deligne - illusie to obtain kodaira type vanishing theorems for vector bundles and more generally coherent sheaves on algebraic varieties. the key idea is to introduce a number which provides a cohomological measure of the positivity of a coheren...
arxiv:math/0202129
tetrad based equation for dirac - k \ " { a } hler particle is solved in spherical coordinates in the flat minkocski space - time. spherical solutions of boson type ( j = 0, 1, 2,... ) are constructed. after performing a special transformation over spherical boson solutions of the dirac - k \ " { a } hler equation, 4 \...
arxiv:1109.3298
we study the fermion pair production from a strong electric field in boost - invariant coordinates in ( 3 + 1 ) dimensions and exploit the cylindrical symmetry of the problem. this problem has been used previously as a toy model for populating the central - rapidity region of a heavy - ion collision ( when we can repla...
arxiv:0905.1360
we consider an initial - boundary value problem for the chemotaxis - navier - - stokes system \ begin { align * } \ left \ { \ begin { array } { c @ { \ quad } l @ { \ quad } l @ { \, } c } n _ { t } + u \ cdot \ nabla n = \ nabla \ cdot \ big ( d ( n ) \ nabla n - ns ( x, n, c ) \ cdot \ nabla c \ big ), \ & x \ in \ ...
arxiv:2411.18336
these are the lecture notes for a course on exceptional polynomials taught at the \ textit { aims - volkswagen stiftung workshop on introduction to orthogonal polynomials and applications } that took place in douala ( cameroon ) from october 5 - 12, 2018. they summarize the basic results and construction of exceptional...
arxiv:1912.07597
in this paper, we studied the federated bilevel optimization problem, which has widespread applications in machine learning. in particular, we developed two momentum - based algorithms for optimizing this kind of problem and established the convergence rate of our two algorithms, providing the sample and communication ...
arxiv:2204.13299
a soft x - ray excess above the 2 - 10 kev power law extrapolation is generally observed in agn x - ray spectra. presently there are two competitive models to explain it : blurred ionized reflection and warm comptonisation. in the latter case, observations suggest a corona temperature $ \ sim $ 1 kev and a corona optic...
arxiv:2001.02026
we measure the superconducting transition of yin $ _ 3 $ by resistivity, susceptibility, and specific heat. despite using high - quality single - crystal samples, the transitions detected by the three techniques are shifted from each other in temperature, suggesting a region of filamentary superconductivity. we discuss...
arxiv:1112.3083
we study the scattering of monochromatic bosonic plane waves impinging upon a rotating black hole, in the special case that the direction of incidence is aligned with the spin axis. we present accurate numerical results for electromagnetic kerr scattering cross sections for the first time, and give a unified picture of...
arxiv:1910.07666
in this study, we develop a hybrid operational typhoon forecasting model that integrates the fuxi machine - learning ( ml ) model with the physics - based shanghai typhoon model ( shtm ) into a dual physics - data - driven framework. by employing spectral nudging, the hybrid model named fuxi - shtm leverages fuxi ' s r...
arxiv:2503.00424
we perform a three dimensional radiation hydrodynamics simulation to investigate the formation of first stars from initial collapse of a primordial gas cloud to formation and growth of protostars. the simulation is integrated until 0. 1 myrs after the formation of the primary protostar by which the protostars have alre...
arxiv:1304.6794
we present optical photometry and spectroscopy of the peculiar type iin / ibn supernova sn2011hw. its light curve exhibits a slower decline rate than normal sneibc, with a peak absolute magnitude of - 19. 5 ( unfiltered ) and a secondary peak of - 18. 3 mag ( r ). spectra of sn2011hw are unusual compared to normal sn t...
arxiv:1204.0043
we stress the importance of wolf - rayet stars for the understanding of the agn phenomenon in galaxies. wr stars provide an unique opportunity to explore from the ground whether non - thermal nuclear activity and circumnuclear starbursts are connected. we review the known reported wr signatures observed so far in agns ...
arxiv:astro-ph/9901170
point cloud based retrieval for place recognition is still a challenging problem due to drastic appearance and illumination changes of scenes in changing environments. existing deep learning based global descriptors for the retrieval task usually consume a large amount of computation resources ( e. g., memory ), which ...
arxiv:2101.02374
we have conducted a multiwavelength study of several radio sources within or near the error boxes of egret unidentified sources at mid to high galactic latitude, under the hypothesis that the radio sources are blazars and are thus the best identification candidates for the egret objects. we show that one of these radio...
arxiv:astro-ph/9709279
current simulations of air showers produced by ultra - high energy cosmic rays ( uhecrs ) do not satisfactorily describe recent experimental data, particularly when looking at the muonic shower component relative to the electromagnetic one. discrepancies can be seen in both average values and on an individual shower - ...
arxiv:2309.05390
in this paper, we investigate optimal boundary control problems for cahn - hilliard variational inequalities with a dynamic boundary condition involving double obstacle potentials and the laplace - beltrami operator. the cost functional is of standard tracking type, and box constraints for the controls are prescribed. ...
arxiv:1408.6146
the hamamatsu uv - light enhanced 64 - channel sipm array of the newest generation ( s13361 - 3050as - 08 ) has been examined for the purpose of being used for the silicon elementary cell add - on ( sieca ) of the euso - spb balloon experiment. characterization measurements have been performed with the newly installed ...
arxiv:1804.00897
let $ g $ be a group and assume that $ ( a _ p ) _ { p \ in g } $ is a family of algebras with identity. we have a { \ it hopf $ g $ - coalgebra } ( in the sense of turaev ) if, for each pair $ p, q \ in g $, there is given a unital homomorphism $ \ co _ { p, q } : a _ { pq } \ to a _ p \ ot a _ q $ satisfying certain ...
arxiv:math/0404026
we study the possibly existing anisotropy in the accelerating expansion universe with the union2 type ia supernovae data and gamma - ray burst data. we construct a direction - dependent dark energy model and constrain the anisotropy direction and strength of modulation. we find that the maximum anisotropic deviation di...
arxiv:1303.0961
in this work, we study various properties of embedded hypersurfaces in $ 1 + 1 + 2 $ decomposed spacetimes with a preferred spatial direction, denoted $ e ^ { \ mu } $, which are orthogonal to the fluid flow velocity of the spacetime and admit a proper conformal transformation. to ensure a non - vanishing positivity sc...
arxiv:2112.08753
morse and ingard give a coupled system of time - harmonic equations for the temperature and pressure of an excited gas. these equations form a critical aspect of modeling trace gas sensors. like other wave propagation problems, the computational problem must be closed with suitable far - field boundary conditions. work...
arxiv:2210.13765
although most fingerprint matching methods utilize minutia points and / or texture of fingerprint images as fingerprint features, the frequency spectrum is also a useful feature since a fingerprint is composed of ridge patterns with its inherent frequency band. we propose a novel cnn - based method for extracting finge...
arxiv:2008.11917
we prove that the minimum - time controlled kepler problem is not liouville integrable in the class of meromorphic functions, via the moral \ ` es - ramis theory.
arxiv:1801.04198
in this article we use the technique of luttinger surgery to produce small examples of simply connected and non - simply connected minimal symplectic 4 - manifolds. in particular, we construct : ( 1 ) an example of a minimal symplectic 4 - manifold that is homeomorphic but not diffeomorphic to cp ^ 2 # 3 ( - cp ^ 2 ) w...
arxiv:math/0703065
we discuss the perspectives of measuring direct cp violation parameters in hyperon decays by measurements with proton and / or antiproton beams, to be carried out at various facilities, and in particular we propose new experiments at the tevatron and at the lhc.
arxiv:hep-ph/9810518
spectroscopic observations of quasar outflows at rest - frame 500 - 1000 angstrom have immense diagnostic power. we present analyses of such data, where absorption troughs from three important ions are measured : first, o iv and o iv * that allow us to obtain the distance of high ionization outflows from the agn ; seco...
arxiv:1305.2181
addprod } ( a _ 1, \ dots, a _ c ) ) $. this last fact is proven by generalizing godsil ' s notion of treelike walks on a graph $ g $ to a notion of freelike walks on a collection of atoms $ a _ 1, \ dots, a _ c $.
arxiv:1904.03500
. august borsig ( 1804 – 1854 ), businessman carl bosch ( 1874 – 1940 ), chemist, nobel prize winner 1931 franz breisig ( 1868 – 1934 ), mathematician, inventor of the calibration wire and father of the term quadripole network in electrical engineering. wilhelm cauer ( 1900 – 1945 ), mathematician, essential contributi...
https://en.wikipedia.org/wiki/Technische_Universität_Berlin
in this paper we study real hypersurfaces in the complex quadric space $ q ^ m $ whose structure jacobi operator commutes with their structure tensor field. we show that the reeb curvature $ \ alpha $ of such hypersurfaces is constant and if $ \ alpha $ is non - zero then the hypersurface is a tube around a totally geo...
arxiv:1807.11021
we consider a class of well motivated string - inspired flipped $ su ( 5 ) $ supergravity models which include four supersymmetry breaking scenarios : no - scale, strict no - scale, dilaton, and special dilaton, such that only three parameters are needed to describe all new phenomena $ ( m _ t, \ tan \ beta, m _ { \ ti...
arxiv:hep-ph/9308266
we consider $ e _ 8 \ times e _ 8 $ heterotic compactifications on $ k3 $ and $ k3 \ times t ^ 2 $. the idea of heterotic / heterotic duality in $ d = 6 $ has difficulties for generic compactifications since for large dilaton values some gauge groups acquire negative kinetic terms. recently duff, minasian and witten ( ...
arxiv:hep-th/9602097
which all protostars start forming at the same time.
arxiv:2310.13125
we consider a diatomic infinite fermi - pasta - ulam ( fpu ) system with light and heavy particles. for a small mass ratio, we prove error estimates for the approximation of the dynamics of this system by the dynamics of the monoatomic fpu system. the light particles are squeezed by the heavy particles at the mean valu...
arxiv:2003.00046
we are currently exploiting the deep radio / optical / ir information available for the extra - galactic component of the spitzer first look survey ( fls ) to investigate the physical properties of faint radio - selected agns, with the aim of studying the agn component of sub - mjy radio fields. one of the key unresolv...
arxiv:0909.3761
simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. discerning the presence of direct links between neuron from data is still a not completely solved probl...
arxiv:1903.08460
currently, the technique of numerical model - based atmospheric environment forecasting has becoming mature, yet traditional numerical prediction methods struggle to balance computational costs and forecast accuracy, facing developmental bottlenecks. recent advancements in artificial intelligence ( ai ) offer new solut...
arxiv:2504.19764
in this paper, we explore how transfer learning, coupled with intel xeon, specifically 4th gen intel xeon scalable processor, defies the conventional belief that training is primarily gpu - dependent. we present a case study where we achieved near state - of - the - art accuracy for image classification on a publicly a...
arxiv:2310.06916
multi - state capture - recapture data comprise individual - specific sighting histories together with information on individuals ' states related, for example, to breeding status, infection level, or geographical location. such data are often analysed using the arnason - schwarz model, where transitions between states...
arxiv:2002.10997
a boson sampler implements a restricted model of quantum computing. it is defined by the ability to sample from the distribution resulting from the interference of identical bosons propagating according to programmable, non - interacting dynamics. here, we demonstrate a new combination of tools for implementing boson s...
arxiv:2307.06936
the study of universal approximation of arbitrary functions $ f : \ mathcal { x } \ to \ mathcal { y } $ by neural networks has a rich and thorough history dating back to kolmogorov ( 1957 ). in the case of learning finite dimensional maps, many authors have shown various forms of the universality of both fixed depth a...
arxiv:1910.01545
the tunneling conductance between a metal and a multiband s - wave superconductor with a thin layer of single - band s - wave superconductor sandwiched in between is examined in this paper. we show that an in - gap peak in conductance curve is found as a result of the formation of in - gap bound state between the singl...
arxiv:0812.1068
we present a numerical comparison between two standard finite volume schemes and a discontinuous galerkin method applied to the bgk equation of rarefied gas dynamics. we pay a particular attention to the numerical boundary conditions in order to preserve the rate of convergence of the method. most of our analysis relie...
arxiv:2003.05677
services computing can offer a high - level abstraction to support diverse applications via encapsulating various computing infrastructures. though services computing has greatly boosted the productivity of developers, it is faced with three main challenges : privacy and security risks, information silo, and pricing me...
arxiv:2012.04172
because of their proximity within the transneptunian region, the plutinos ( objects in the 3 : 2 mean - motion resonance with neptune ) are numerous in flux - limited catalogs, and well - studied theoretically. we perform detailed modelling of the on - sky detection biases for plutinos, with special attention to those ...
arxiv:1305.1662
we study the speed of a biased random walk on a percolation cluster on $ \ z ^ d $ in function of the percolation parameter $ p $. we obtain a first order expansion of the speed at $ p = 1 $ which proves that percolating slows down the random walk at least in the case where the drift is along a component of the lattice...
arxiv:0812.2532
relying on the redefined vacuum state approach, and based on one - particle three - loop feynman diagrams, partial third - order interelectronic corrections to the valence electron energy shift are investigated in li - like ions. the idea is to begin with simple one - particle gauge - invariant subsets composed of feyn...
arxiv:2310.12592
we show that quasi - projective relation algebras and directed cylindric algebras are equivalent categorialy. we work out a godels second incompleteness theorem for finite varibale fragments of first order logic. we show that distinct set theories ( like one with ch, and another with its negation ) give rise to equatio...
arxiv:1304.0761
recent work has demonstrated that finetuning is a promising approach to ' unlearn ' concepts from large language models. however, finetuning can be expensive, as it requires both generating a set of examples and running iterations of finetuning to update the model. in this work, we show that simple guardrail - based ap...
arxiv:2403.03329
deepfake detection faces a critical generalization hurdle, with performance deteriorating when there is a mismatch between the distributions of training and testing data. a broadly received explanation is the tendency of these detectors to be overfitted to forgery - specific artifacts, rather than learning features tha...
arxiv:2311.11278
in this work we present a mobile application we designed and engineered to enable people to log their travels near and far, leave notes behind, and build a community around spaces in between destinations. our design explores new ground for location - based social computing systems, identifying opportunities where these...
arxiv:1605.08548
quark confinement is perhaps the most important emergent property of the theory of quantum chromodynamics. herein we review some key aspects of centre vortices in su ( 3 ) lattice gauge theory. starting from the original monte carlo gauge fields, a vortex identification procedure yields vortex - removed and vortex - on...
arxiv:2204.03816
given an abelian category, we introduce a categorical concept of ( strongly ) gorenstein projective ( resp., injective ) objects, by defining a new special class of objects. then we study the transfer of these properties when passing to an abelian category and its n - trivial extension category and also give a characte...
arxiv:2005.09038
let $ p $ be an odd prime. for any $ p $ - adic integer $ a $ we let $ \ overline { a } $ denote the unique integer $ x $ with $ - p / 2 < x < p / 2 $ and $ x - a $ divisible by $ p $. in this paper we study some permutations involving quadratic residues modulo $ p $. for instance, we consider the following three seque...
arxiv:1903.01098
we derive the classical kappa - symmetric type iib string action on ads ( 3 ) x s ( 3 ) by employing the su ( 1, 1 | 2 ) ^ 2 algebra. we then gauge fix kappa - symmetry in the background adapted killing spinor gauge and present the action in a very simple form.
arxiv:hep-th/9809164
multifragmentation ( mf ) results from 1a gev au on c have been compared with the copenhagen statistical multifragmentation model ( smm ). a large number of observables, including the fragment charge yield distributions, fragment multiplicity distributions, caloric curve, critical exponents, and the critical scaling fu...
arxiv:nucl-ex/0107015
we propose a quantum field theory description of beams on a mach - zehnder interferometer and apply the method to describe interaction free measurements ( ifms ), concluding that there is a change of momentum of the fields in ifms. analysing the factors involved in the probability of emission of low - energy photons, w...
arxiv:1911.03339
we introduce a model of non - unitary quantum dynamics that exhibits infinitely long - lived discrete spatiotemporal order robust against any unitary or dissipative perturbation. ergodicity is evaded by combining a sequence of projective measurements with a local feedback rule that is inspired by toom ' s ` north - eas...
arxiv:2111.02499
general orbits of a particle of small mass $ \ mu $ around a kerr black hole of mass $ m $ are characterized by three parameters : the energy, the angular momentum and the carter constant. the time - averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of...
arxiv:gr-qc/0702054
starting with arnold ' s pioneering work, the term " arnold diffusion " has been used to describe the slow diffusion taking place in the space of the actions in hamiltonian nonlinear dynamical systems with three or more degrees of freedom. the present text is an elaborated transcript of the introductory course given in...
arxiv:2111.03415
transshipment problem is one of the basic operational research problems. in this paper, our first work is to develop a biologically inspired mathematical model for a dynamical system, which is first used to solve minimum cost flow problem. it has lower computational complexity than physarum solver. second, we apply the...
arxiv:1401.2181
we construct obliquely reflected brownian motions in all bounded simply connected planar domains, including non - smooth domains, with general reflection vector fields on the boundary. conformal mappings and excursion theory are our main technical tools. a key intermediate step, which may be of independent interest, is...
arxiv:1512.02323
we consider the problem of optimising functions in the reproducing kernel hilbert space ( rkhs ) of a mat \ ' ern kernel with smoothness parameter $ \ nu $ over the domain $ [ 0, 1 ] ^ d $ under noisy bandit feedback. our contribution, the $ \ pi $ - gp - ucb algorithm, is the first practical approach with guaranteed s...
arxiv:2001.10396
i study a sequence of singularities in dimension 4 and above, each given by a cone of rank 1 tensors of a certain signature, which have crepant resolutions whose exceptional loci are isomorphic to cartesian powers of the projective line. in each dimension n, these resolutions naturally correspond to vertices of an ( n ...
arxiv:2108.10541
the development of information technology and internet has led to rapidly progressed in e - commerce and online shopping, due to the convenience that they provide consumers. e - commerce and online shopping are still not able to fully replace onsite shopping. in contrast, conventional online shopping websites often can...
arxiv:1512.02372
modern reconstruction methods for magnetic resonance imaging ( mri ) exploit the spatially varying sensitivity profiles of receive - coil arrays as additional source of information. this allows to reduce the number of time - consuming fourier - encoding steps by undersampling. the receive sensitivities are a priori unk...
arxiv:1705.04081
joan w. ( 1971 ), " duality in analysis from the point of view of triples ", journal of algebra, 19 ( 2 ) : 228 – 253, doi : 10. 1016 / 0021 - 8693 ( 71 ) 90105 - 0, issn 0021 - 8693, mr 0280571 rudin, walter ( 1976 ), principles of mathematical analysis ( 3rd ed. ), new york : mcgraw - hill, isbn 0 - 07 - 054235 - x v...
https://en.wikipedia.org/wiki/Duality_(mathematics)
as subjects perceive the sensory world, different stimuli elicit a number of neural representations. here, a subjective distance between stimuli is defined, measuring the degree of similarity between the underlying representations. as an example, the subjective distance between different locations in space is calculate...
arxiv:q-bio/0408008