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we report our combined experimental and theoretical study of magnetoelectric properties of an antiferromagnet sr ( tio ) cu $ _ 4 $ ( po $ _ 4 $ ) $ _ 4 $, in comparison with the isostructurals ba ( tio ) cu $ _ 4 $ ( po $ _ 4 $ ) $ _ 4 $ and pb ( tio ) cu $ _ 4 $ ( po $ _ 4 $ ) $ _ 4 $. the family of compounds commonl...
arxiv:1810.11929
in this work, we focus on a special group of human body language - - the micro - gesture ( mg ), which differs from the range of ordinary illustrative gestures in that they are not intentional behaviors performed to convey information to others, but rather unintentional behaviors driven by inner feelings. this characte...
arxiv:2405.13206
quasi - exactly solvable rational potentials with known zero - energy solutions of the schro \ " odinger equation are constructed by starting from exactly solvable potentials for which the schr \ " odinger equation admits an so ( 2, 1 ) potential algebra. for some of them, the zero - energy wave function is shown to be...
arxiv:quant-ph/9703037
high cost of training time caused by multi - step adversarial example generation is a major challenge in adversarial training. previous methods try to reduce the computational burden of adversarial training using single - step adversarial example generation schemes, which can effectively improve the efficiency but also...
arxiv:2102.03381
the betweenness centrality of a vertex v is an important centrality measure that quantifies how many optimal paths between pairs of other vertices visit v. computing betweenness centrality in a temporal graph, in which the edge set may change over discrete timesteps, requires us to count temporal paths that are optimal...
arxiv:2202.12055
in this paper, we examine the nash equilibrium convergence properties of no - regret learning in general n - player games. for concreteness, we focus on the archetypal follow the regularized leader ( ftrl ) family of algorithms, and we consider the full spectrum of uncertainty that the players may encounter - from nois...
arxiv:2101.04667
we review major appearances of the functional expression $ \ pm \ delta \ rho ^ { 1 / 2 } / \ rho ^ { 1 / 2 } $ in the theory of diffusion - type processes and in quantum mechanically supported dynamical scenarios. attention is paid to various manifestations of " pressure " terms and their meaning ( s ) in - there.
arxiv:1112.5962
we study the spatially resolved excitation properties of the ionised gas in a sample of 646 galaxies using integral field spectroscopy data from sdss - iv manga. making use of baldwin - philips - terlevich diagnostic diagrams we demonstrate the ubiquitous presence of extended ( kpc scale ) low ionisation emission - lin...
arxiv:1605.07189
five planetary nebulae are known to show hydrogen - poor material near the central star. in the case of a58, this gas was ejected following a late thermal pulse similar to sakurai ' s object. in this paper i will review these five objects. one of them, iras 18333 $ - $ 2357, may not be a true pn. i will show that there...
arxiv:astro-ph/0105448
we study the statistics of edges and vertices in the vicinity of a reference vertex ( origin ) within random planar quadrangulations and eulerian triangulations. exact generating functions are obtained for theses graphs with fixed numbers of edges and vertices at given geodesic distances from the origin. our analysis r...
arxiv:cond-mat/0307606
it is known that, in string sigma - model metric, the ` extreme ' fivebrane solution of d = 10 supergravity interpolates between d = 10 minkowski spacetime and a supersymmetric $ s ^ 3 $ compactification to a linear dilaton vacuum. we show here that, in { \ it fivebrane } sigma - model metric, the extreme string soluti...
arxiv:hep-th/9405124
we consider the mass spectrum of the 3 $ d $ 3 - state potts model in the broken phase ( a ) near the second order ising critical point in the temperature - magnetic field plane and ( b ) near the weakly first order transition point at zero magnetic field. in the case ( a ), we compare the mass spectrum with the predic...
arxiv:hep-lat/0612016
the goal of temporal alignment is to establish time correspondence between two sequences, which has many applications in a variety of areas such as speech processing, bioinformatics, computer vision, and computer graphics. in this paper, we propose a novel temporal alignment method called least - squares dynamic time w...
arxiv:1206.4116
we present magnetohydrodynamic simulations of a resistive accretion disk continuously launching transmagnetosonic, collimated jets. we time - evolve the full set of magnetohydrodynamic equations, but neglect radiative losses in the energetics ( radiatively inefficient ). our calculations demonstrate that a jet is self ...
arxiv:astro-ph/0310322
bowen ' s formula relates the hausdorff dimension of a conformal repeller to the zero of a ` pressure ' function. we present an elementary, self - contained proof which bypasses measure theory and the thermodynamic formalism to show that bowen ' s formula holds for $ c ^ 1 $ conformal repellers. we consider time - depe...
arxiv:math/0406114
this paper presents the multiplicity of neutral and charged hadrons produced in 90 gev $ / c $ proton - carbon interactions from a dataset taken by the na61 / shine experiment in 2017. particle identification via de / dx was performed for the charged hadrons $ \ pi ^ \ pm $, $ k ^ \ pm $, and $ p / \ bar { p } $ ; the ...
arxiv:2410.23098
we study the impact of finite - size effects on the key rate of continuous - variable ( cv ) measurement - device - independent ( mdi ) quantum key distribution ( qkd ). inspired by the parameter estimation technique developed in [ rupert \ textit { et al. } phys. rev. a \ textbf { 90 }, 062310 ( 2014 ) ] ~ we adapt it...
arxiv:1707.04599
a simple model for the photoproduction of kaons off protons with a lambda hyperon in the final state is presented. in a quark model, the interaction is modelled by the pair - creation of the ( anti - ) strange quarks in the final state which recombine with the three quarks of the proton to form the lambda and kaon. the...
arxiv:hep-ph/9501342
we investigate the portfolio selection problem against the systemic risk which is measured by covar. we first demonstrate that the systemic risk of pure stock portfolios is essentially uncontrollable due to the contagion effect and the seesaw effect. next, we prove that it is necessary and sufficient to introduce optio...
arxiv:2209.04685
in traditional software programs, it is easy to trace program logic from variables back to input, apply assertion statements to block erroneous behavior, and compose programs together. although deep learning programs have demonstrated strong performance on novel applications, they sacrifice many of the functionalities ...
arxiv:2106.00769
the periods of the harmonic oscillations of the ion core of charged sodium clusters around the equilibrium shapes are considered. it is found that these periods are of the order of magnitude of the experimentally measured relaxation times of the plasmons, which suggests the importance of the electron - ion coupling and...
arxiv:physics/0407086
simulating the dynamics of complex quantum systems is a central application of quantum devices. here, we propose leveraging the power of measurements to simulate short - time quantum dynamics of physically prepared quantum states in classical post - processing using a truncated taylor series approach. while limited to ...
arxiv:2412.08719
let $ \ { x _ i ( t ), t \ ge0 \ }, i = 1, 2 $ be two standard fractional brownian motions being jointly gaussian with constant cross - correlation. in this paper we derive the exact asymptotics of the joint survival function $ $ \ mathbb { p } \ { \ sup _ { s \ in [ 0, 1 ] } x _ 1 ( s ) > u, \ \ sup _ { t \ in [ 0, 1 ...
arxiv:1309.4981
dust particles in protoplanetary disks experience various chemical reactions under different physicochemical conditions through their accretion and diffusion, which results in the radial chemical gradient of dust. we performed three - dimensional monte carlo simulations to evaluate the dust trajectories and the progres...
arxiv:2308.12571
multivariate max - stable processes are important for both theoretical investigations and various statistical applications motivated by the fact that these are limiting processes, for instance of stationary multivariate regularly varying time series, [ 1 ]. in this contribution we explore the relation between homogeneo...
arxiv:2102.06736
recognising new or unusual features of an environment is an ability which is potentially very useful to a robot. this paper demonstrates an algorithm which achieves this task by learning an internal representation of ` normality ' from sonar scans taken as a robot explores the environment. this model of the environment...
arxiv:cs/0006006
in this work, we investigate the capacity of generative adversarial networks ( gans ) in interpolating and extrapolating facies proportions in a geological dataset. the new generated realizations with unrepresented ( aka. missing ) proportions are assumed to belong to the same original data distribution. specifically, ...
arxiv:2203.09639
the psu ( 2, 2 | 4 ) integrable super spin chain underlying the ads / cft correspondence has integrable boundary states which describe set - ups where k d3 - branes get dissolved in a probe d5 - brane. overlaps between bethe eigenstates and these boundary states encode the one - point functions of conformal operators a...
arxiv:2011.12192
this paper presents a novel metric to evaluate the robustness of deep learning based semantic segmentation approaches for crop row detection under different field conditions encountered by a field robot. a dataset with ten main categories encountered under various field conditions was used for testing. the effect on th...
arxiv:2109.08247
we report an observation of room temperature magnetodielectric ( rtmd ) effect in mn doped lagao3. results of frequency dependent magnetoresistance ( fdmr ) measurements discards the possibility of any magnetoresistive contribution in the observed md effect. the intrinsic nature of md coupling has been validated / evid...
arxiv:1705.00184
an open challenge problem at the forefront of modern neuroscience is to obtain a comprehensive mapping of the neural pathways that underlie human brain function ; an enhanced understanding of the wiring diagram of the brain promises to lead to new breakthroughs in diagnosing and treating neurological disorders. inferri...
arxiv:1403.3724
the extremely low mass white dwarfs ( elm wds ) and pre - elm wds are helium core white dwarfs with mass $ < \ sim 0. 3m _ { \ odot } $. evolution simulations show that a lower mass limit for elm wds exists at $ \ approx0. 14m _ { \ odot } $ and no one is proposed by observation to be less massive than that. here we re...
arxiv:2209.10386
we prove global gradient estimates for parabolic $ p $ - laplace type equations with measure data, whose model is $ $ u _ t - \ textrm { div } \ left ( | du | ^ { p - 2 } du \ right ) = \ mu \ quad \ textrm { in } \ \ omega \ times ( 0, t ) \ subset \ mathbb { r } ^ n \ times \ mathbb { r }, $ $ where $ \ mu $ is a sig...
arxiv:2004.03889
real world systems typically feature a variety of different dependency types and topologies that complicate model selection for probabilistic graphical models. we introduce the ensemble - of - forests model, a generalization of the ensemble - of - trees model. our model enables structure learning of markov random field...
arxiv:1312.4710
all instances of the semidirect key exchange protocol, a generalisation of the famous diffie - hellman key exchange protocol, satisfy the so - called " telescoping equality " ; in some cases, this equality has been used to construct an attack. in this report we present computational evidence suggesting that an instance...
arxiv:2111.05806
the principal goal of the nasa terrestrial planet finder ( tpf ) and esa darwin mission concepts is to directly detect and characterize extrasolar terrestrial ( earth - sized ) planets. this first generation of instruments is expected to provide disk - averaged spectra with modest spectral resolution and signal - to - ...
arxiv:astro-ph/0408372
we present a theoretical study of the statics and dynamics of a partially wetting liquid droplet, of equilibrium contact angle $ \ theta _ { \ rm e } $, confined in a solid wedge geometry of opening angle $ \ beta $. we focus on a mostly non - wetting regime, given by the condition $ \ theta _ { \ rm e } - \ beta > 90 ...
arxiv:1702.06076
we perform the exact numerical diagonalization of the hamiltonians that describe both degenerate and nondegenerate parametric amplifiers, by exploiting the conservation laws pertaining each device. we clarify the conditions under which the parametric approximation holds, showing that the most relevant requirement is th...
arxiv:quant-ph/9902013
the symplectic cone of a closed oriented 4 - manifold is the set of cohomology classes represented by symplectic forms. a well - known conjecture describes this cone for every minimal kaehler surface. we consider the case of the elliptic surfaces e ( n ) and focus on a slightly weaker conjecture for the closure of the ...
arxiv:1210.1135
pulsar winds shocked in the ambient medium produce spectacular nebulae observable from the radio through gamma - rays. the shape and the spectrum of a pulsar wind nebula ( pwn ) depend on the angular distribution, magnetization and energy spectrum of the wind streaming from the pulsar magnetosphere, as well as on the p...
arxiv:0801.2602
during the normal operation of a power system all the voltages and currents are sinusoids with a frequency of 60 hz in america and parts of asia, or of 50hz in the rest of the world. forcing all the currents and voltages to be sinusoids with the right frequency is one of the most important problems in power systems. th...
arxiv:1309.5422
in the present note we study determinantal arrangements constructed with use of the $ 3 $ - minors of a $ 3 \ times 5 $ generic matrix of indeterminates. in particular, we show that certain naturally constructed hypersurface arrangements in $ \ mathbb { p } ^ { 14 } _ { \ mathbb { c } } $ are free.
arxiv:2201.01049
although face recognition systems have seen a massive performance enhancement in recent years, they are still targeted by threats such as presentation attacks, leading to the need for generalizable presentation attack detection ( pad ) algorithms. current pad solutions suffer from two main problems : low generalization...
arxiv:2501.02892
the discrete tori are graph analogues of the real tori, which are defined by the cayley graphs of a finite product of finite cyclic groups. in this paper, using the theory of the heat kernel on the discrete tori established by chinta, jorgenson and karlsson, we derive an explicit prime geodesic theorem for the discrete...
arxiv:1603.01949
the electrostatic cumulation of current density in relativistic vacuum diodes with ring - type cathodes is described theoretically and confirmed experimentally. the distinctive feature of the suggested cumulation mechanism is a very low energy spread of electrons. as a result of electrostatic cumulation, a thin relativ...
arxiv:1811.12526
we show how the excursion set moving barrier model for halo abundances may be generalized to the local non - gaussian f _ { nl } model. our estimate assumes that the distribution of step sizes depends on f _ { nl }, but that they are otherwise uncorrelated. our analysis is consistent with previous results for the case ...
arxiv:0905.1702
the concept of transportation demand management ( tdm ) upholds the development of sustainable mobility through the triumph of optimally balanced transport modal share in cities. the modal split management directly reflects on tdm of each transport subsystem, including parking. in developing countries, the policy - mak...
arxiv:2109.01045
the classical kepler problem, as well as its quantum mechanical version, the hydrogen atom, enjoy a well - known hidden symmetry, the conservation of the laplace - runge - lenz vector, which makes these problems superintegrable. is there a relativistic quantum field theory extension that preserves this symmetry? in thi...
arxiv:1408.0296
we introduce and study a general version of the fractional online knapsack problem with multiple knapsacks, heterogeneous constraints on which items can be assigned to which knapsack, and rate - limiting constraints on the assignment of items to knapsacks. this problem generalizes variations of the knapsack problem and...
arxiv:2010.00412
we investigate numerical solution of the dokshitzer - gribov - lipatov - altarelli - parisi ( dglap ) q ^ 2 evolution equation for the transversity distribution delta _ t q or the structure function h _ 1. the leading - order ( lo ) and next - to - leading - order ( nlo ) evolution equations are studied. the renormaliz...
arxiv:hep-ph/9712410
generative adversarial networks ( gans ) have proven to be a powerful tool in generating artistic images, capable of mimicking the styles of renowned painters, such as claude monet. this paper introduces a tiered gan model to progressively refine image quality through a multi - stage process, enhancing the generated im...
arxiv:2412.05724
in this paper, we introduce a novel concept called the graph geometric control condition ( ggcc ). it turns out to be a simple, geometric rewriting of many of the frameworks in which the controllability of pdes on graphs has been studied. we prove that ( ggcc ) is a necessary and sufficient condition for the exact cont...
arxiv:2503.18864
in cooperative multi - agent robotic systems, coordination is necessary in order to complete a given task. important examples include search and rescue, operations in hazardous environments, and environmental monitoring. coordination, in turn, requires simultaneous satisfaction of safety critical constraints, in the fo...
arxiv:2303.06957
trojan asteroids are minor planets that share the orbit of a planet about the sun and librate around the l4 or l5 lagrangian points of stability. they are important because they carry information on early solar system formation, when collisions between bodies were more frequent. discovery and study of terrestrial plane...
arxiv:1111.2427
we demonstrate that next generation high - energy neutrino telescopes may reveal the existence of interactions induced by standard model electroweak instantons. the energy spectrum, the angular distribution, and the quark and lepton multiplicity of events in the detector each provide signatures which can indicate the p...
arxiv:hep-ph/0307120
in this work we introduce a thermal magnetotorsional effect ( tme ) as a novel topological response in magnetic weyl semimetals. we predict that magnetization gradients perpendicular to the weyl node separation give rise to temperature gradients depending only on the local positions of the weyl nodes. the tme is a cons...
arxiv:1912.07732
materials science in science fiction is the study of how materials science is portrayed in works of science fiction. the accuracy of the materials science portrayed spans a wide range – sometimes it is an extrapolation of existing technology, sometimes it is a physically realistic portrayal of a far - out technology, a...
https://en.wikipedia.org/wiki/Materials_science_in_science_fiction
we initiate the lisa template databank for stochastic gravitational wave backgrounds sourced by cosmic strings. we include two templates, an analytical template, which enables more flexible searches, and a numerical template derived directly from large nambu - goto simulations of string networks. using searches based o...
arxiv:2405.03740
recently, a supersymmetric model of dark energy coupled to cold dark matter, the supersymmetron, has been proposed. in the absence of cold dark matter, the supersymmetron field converges to a supersymmetric minimum with a vanishing cosmological constant. when cold dark matter is present, the supersymmetron evolves to a...
arxiv:1112.3676
retrieval - augmented generation ( rag ) improves large language model ( llm ) performance on knowledge - intensive tasks but depends heavily on initial search query quality. current methods, often using reinforcement learning ( rl ), typically focus on query formulation or reasoning over results, without explicitly en...
arxiv:2504.11001
proposing grasp poses for novel objects is an essential component for any robot manipulation task. planning six degrees of freedom ( dof ) grasps with a single camera, however, is challenging due to the complex object shape, incomplete object information, and sensor noise. in this paper, we present a 6 - dof contrastiv...
arxiv:2103.15995
in this paper we describe the overall idea and results of a recently proposed radio access technique based on filter bank multicarrier ( fbmc ) communication system using two orthogonal polarizations : dual - polarization fbmc ( dp - fbmc ). using this system we can alleviate the intrinsic interference problem in fbmc ...
arxiv:1806.05143
we model and analyze heterogeneous cellular networks with multiple antenna bss ( multi - antenna hetnets ) with k classes or tiers of base stations ( bss ), which may differ in terms of transmit power, deployment density, number of transmit antennas, number of users served, transmission scheme, and path loss exponent. ...
arxiv:1310.6795
in this paper, we present a comprehensive study on the convergence properties of adam - family methods for nonsmooth optimization, especially in the training of nonsmooth neural networks. we introduce a novel two - timescale framework that adopts a two - timescale updating scheme, and prove its convergence properties u...
arxiv:2305.03938
the self - rationalising capabilities of large language models ( llms ) have been explored in restricted settings, using task / specific data sets. however, current llms do not ( only ) rely on specifically annotated data ; nonetheless, they frequently explain their outputs. the properties of the generated explanations...
arxiv:2402.10532
we describe a non - parametric approach for accurate determination of the slowest relaxation eigenvectors of molecular dynamics. the approach is blind as it uses no system specific information. in particular, it does not require a functional form with many parameters to closely approximate eigenvectors, e. g., a neural...
arxiv:2005.02782
selective plane illumination microscopy ( spim ) is an optical sectioning imaging approach based on orthogonal light pathways for excitation and detection. the excitation pathway has an inverse relation between the optical sectioning strength and the effective field of view ( fov ). multiple approaches exist to extend ...
arxiv:2407.18862
we examine the effect of a threshold bias on the power spectrum and the bispectrum in an ensemble of numerical simulations ( gaussian initial perturbations with power law spectra p ( k ) \ sim k ^ n, n = + 1, 0, - 1, - 2 ) and compare our results with theoretical predictions. our simulations are evolved sufficiently th...
arxiv:astro-ph/9404037
we study the sodium - iridates model on the honeycomb lattice with both bcs pairing potential and hubbard interaction term. it is shown that this model can be exactly solved with appropriate choices of amplitude of pairing gaps, where the interacting terms are transformed to external field terms. the band structures of...
arxiv:2010.01754
it has been discovered before ( arxiv : 2306. 07676 ) that for the selectivity gain due to fluctuations in the process of primary odor reception by olfactory receptor neuron ( orn ) there exists an optimal concentration of odors at which increased selectivity is mostly manifested. we estimate by means of numerical simu...
arxiv:2504.10401
we present a list of distances and peculiar velocities for 1623 rfgc galaxies for three models of collective large - scale galaxy motion on distances about $ 100 h ^ { - 1 } $ mpc. it is based upon the article [ arxiv : 0910. 4640 ]. the ascii version of the list can be downloaded from the ao knu website : http : / / w...
arxiv:0911.3102
we have explored prevailing modes of galaxy growth for redshifts z ~ 6 - 14, comparing substantially overdense and normal regions of the universe, using high - resolution zoom - in cosmological simulations. such rare overdense regions have been projected to host high - z quasars. we demonstrate that galaxies in such en...
arxiv:1407.2614
we show how complexity theory can be introduced in machine learning to help bring together apparently disparate areas of current research. we show that this new approach requires less training data and is more generalizable as it shows greater resilience to random attacks. we investigate the shape of the discrete algor...
arxiv:1910.02758
simulating sample correlation matrices is important in many areas of statistics. approaches such as generating gaussian data and finding their sample correlation matrix or generating random uniform $ [ - 1, 1 ] $ deviates as pairwise correlations both have drawbacks. we develop an algorithm for adding noise, in a highl...
arxiv:1106.5834
highly polarizable metastable he * ( $ \ mathrm { 2 ^ 3s } $ ) and ne * ( $ \ mathrm { 2 ^ 3p } $ ) atoms have been diffracted from a 100 nm period silicon nitride transmission grating and the van der waals coefficients $ c _ 3 $ for the interaction of the excited atoms with the silicon nitride surface have been determ...
arxiv:quant-ph/0112173
the decays eta, eta - prime - > pi ^ + pi ^ - gamma are investigated within an approach that combines one - loop chiral perturbation theory with a coupled channel bethe - salpeter equation which satisfies unitarity constraints and generates vector mesons dynamically from composite states of two pseudoscalar mesons. it ...
arxiv:hep-ph/0405039
due to its decentralized nature, federated learning ( fl ) lends itself to adversarial attacks in the form of backdoors during training. the goal of a backdoor is to corrupt the performance of the trained model on specific sub - tasks ( e. g., by classifying green cars as frogs ). a range of fl backdoor attacks have be...
arxiv:2007.05084
systemic racism is a ubiquitous theme in societies worldwide and plays a central role in shaping our economic, social, and academic institutions. the vera c. rubin observatory is a major us ground - based facility based in chile with international participation. the observatory is an example of excellence and will deli...
arxiv:2310.12177
let s be the set of scalings 1, 2, 3, 4,... and consider the corresponding set of scaled lattices in the plane. in this paper averaging operators are defined for plaquette functions on a lattice to plaquette functions on a coarser lattice for all scale factors and their coherence is proved. this generalizes the averagi...
arxiv:math-ph/0410046
the phase diagram for the interacting fermions in weak coupling is described by the perturbative renormalization group equations. due to the lack of analytic solutions for these coupled non - linear differential equations, it is rather subtle to tell which couplings are relevant or irrelevant. we propose a powerful cla...
arxiv:0911.0166
we consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. pricing such payoffs in a way consistent to market prices typically involves combining actuarial techniques with methods from mathematical finance. we prop...
arxiv:1109.1749
we introduce a scissors congruence $ k $ - theory spectrum which lifts the equivariant scissors congruence groups for compact $ g $ - manifolds with boundary, and we show that on $ \ pi _ 0 $ this is the source of a spectrum level lift of the burnside ring valued equivariant euler characteristic of a compact $ g $ - ma...
arxiv:2501.06928
the majority of thermonuclear explosions in the universe seem to proceed in a rather standardised way, as explosions of carbon - oxygen ( co ) white dwarfs in binary systems, leading to ' normal ' type ia supernovae ( sne ia ). however, over the years a number of objects have been found which deviate from normal sne ia...
arxiv:1703.00528
classical lattice yang - mills calculations provide a good way to understand different nonequilibrium phenomena in nonperturbatively overoccupied systems. above the debye scale the classical theory can be matched smoothly to kinetic theory. the aim of this work is to study the limits of this quasiparticle picture by de...
arxiv:1610.03711
quantum confinement was found to play a critical role in the formation of au ( 111 ) islands grown on the surface of mos2. these confinement effects are fully three dimensional, with a strong correlation to the relatively large fermi wavelength associated with the au ( 111 ) planes. the confinement effects result in pr...
arxiv:1808.07579
can a physicist make only a finite number of errors in the eternal quest to uncover the law of nature? this millennium - old philosophical problem, known as inductive inference, lies at the heart of epistemology. despite its significance to understanding human reasoning, a rigorous justification of inductive inference ...
arxiv:2312.00170
a theorem of green says that a line bundle of degree at least $ 2g + 1 + p $ on a smooth curve $ x $ of genus $ g $ has property $ n _ p $. we prove a similar conclusion for certain singular, reducible curves $ x $ under suitable degree bounds over all irreducible components of $ x $.
arxiv:1303.6002
a path with three blocks $ p ( k, l, r ) $ is an oriented path formed by $ k $ - forward arcs followed by $ l $ - backward arcs then $ r $ - forward arcs. we prove that any $ ( 2k + 1 ) $ - chromatic digraph contains a path $ p ( 1, k, 1 ) $. however the existence of $ p ( 1, l, 1 ) $ with $ l \ geq k $ is established ...
arxiv:2110.09933
we evaluate properties of neutral mesons in nf = 2 dynamical simulations of tmqcd at maximal twist. the pion is explored - establishing the size of the isospin splitting ( an order a ^ 2 effect ). we investigate the eta ' ( the nf = 2 flavour singlet pseudoscalar meson ) and neutral rho and scalar mesons. we show that ...
arxiv:0709.4564
the nature of the superconducting transition in highly underdoped thick films of la $ _ { 2 - x } $ sr $ _ x $ cuo $ _ 4 $ ( $ x = 0. 07 $ and 0. 08 ) has been investigated using the in - plane transport measurements. the contribution of superconducting fluctuations to the conductivity in zero magnetic field, or paraco...
arxiv:1509.05719
let $ g $ be a split group of type $ f _ 4 $ defined over a number field. we study the square - integrable automorphic representations of $ g $ that can be realized as leading terms of degenerate eisenstein series associated to various maximal parabolic subgroups. these representations appear in the residual spectrum. ...
arxiv:2205.06219
in this note, we extend the scope of our previous work joint with bonnafoux, kattler, ni \ ~ no, sedano - mendoza, valdez and weitze - schmith \ " usen by showing the arithmeticity of the kontsevich - - zorich monodromies of infinite families of square - tiled surfaces of genera four, five and six.
arxiv:2301.06894
disjoint union = = = = given an indexed family of sets ( a i ) i ∈ i { \ displaystyle ( a _ { i } ) _ { i \ in { \ mathcal { i } } } }, there is a natural map i ∈ i a i → i ∈ i a i ( a, i ) ↦ a, { \ displaystyle { \ begin { aligned } \ bigsqcup _ { i \ in { \ mathcal { i } } } a _ { i } & \ to \ bigcup _ { i \ in { \ m...
https://en.wikipedia.org/wiki/Set_(mathematics)
we investigate the number of sets of words that can be formed from a finite alphabet, counted by the total length of the words in the set. an explicit expression for the counting sequence is derived from the generating function, and asymptotics for large alphabet respectively large total word length are discussed. more...
arxiv:1001.4392
in this invited short " news and views ", we review very briefly the history of pentaquark studies and the recent observations of the tetraquark and pentaquark states. we also discuss further experimental studies such as at belle - ii.
arxiv:1508.06047
this paper is about a parallel algorithm for tube - based model predictive control. the proposed control algorithm solves robust model predictive control problems suboptimally, while exploiting their structure. this is achieved by implementing a real - time algorithm that iterates between the evaluation of piecewise af...
arxiv:1910.03271
we show that the fermion mass spectrum may naturally be understood in terms of flavour democratic fixed points in supersymmetric theories which have a large domain of attraction in the presence of " strong unification ". our approach provides an alternative to the approximate yukawa texture zeroes of the froggatt - nie...
arxiv:hep-ph/9804446
future wireless networks are poised to transform into integrated sensing and communication ( isac ) networks, unlocking groundbreaking services such as digital twinning. to harness the full potential of isac networks, it is essential to experimentally validate their sensing capabilities and the role of sensing in boost...
arxiv:2410.22956
an emitter in the vicinity of a metal nanostructure is quenched by its decay through non - radiative channels, leading to the belief in a zone of inactivity for emitters placed within $ < $ 10nm of a plasmonic nanostructure. here we demonstrate that in tightly - coupled plasmonic resonators forming nanocavities " quenc...
arxiv:1612.02611
the interplay between electron - electron and electron - phonon interactions is studied in a one - dimensional lattice model, by means of a variational monte carlo method based on generalized jastrow - slater wave functions. here, the fermionic part is constructed by a pair - product state, which explicitly depends on ...
arxiv:2407.03046