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cos ( v ) \ \ y & = \ sin ( u ) \ cos ( v ) \ \ z & = \ sin ( v ) \,. \ end { aligned } } } parametric equations of surfaces are often irregular at some points. for example, all but two points of the unit sphere, are the image, by the above parametrization, of exactly one pair of euler angles ( modulo 2π ). for the rem...
https://en.wikipedia.org/wiki/Surface_(mathematics)
we have searched three parkes multibeam 1. 4 ghz surveys for the presence of fast radio bursts ( frbs ) out to a dispersion measure ( dm ) of 5000 pc cm $ ^ { - 3 } $. these surveys originally targeted the magellanic clouds ( in two cases ) and unidentified gamma - ray sources at mid - galactic latitudes ( in the third...
arxiv:1605.06074
this paper is concerned with a simplified epidemic model for west nile virus in a heterogeneous time - periodic environment. by means of the model, we will explore the impact of spatial heterogeneity of environment and temporal periodicity on the persistence and eradication of west nile virus. the free boundary is empl...
arxiv:1812.09700
we discuss the $ ( 1 + 1 ) $ - dimensional wave maps equation with values in a compact riemannian manifold $ \ mathcal { m } $. motivated by the gibbs measure problem, we consider brownian paths on the manifold $ \ mathcal { m } $ as initial data. our main theorem is the probabilistic local well - posedness of the asso...
arxiv:2111.07381
the magneto - optical absorption properties of graphene multilayers are theoretically studied. it is shown that the spectrum can be decomposed into sub - components effectively identical to the monolayer or bilayer graphene, allowing us to understand the spectrum systematically as a function of the layer number. odd - ...
arxiv:0803.3023
we axiomatize the defining properties of chiral wzw models. we show that such models are in almost bijective correspondence with pairs $ ( g, k ) $, where $ g $ is a connected lie group and $ k \ in h ^ 4 _ + ( bg, \ mathbb z ) $ is a degree four cohomology class subject to a certain positivity condition. we find a cou...
arxiv:1602.02968
vision - language navigation ( vln ) tasks require an agent to navigate step - by - step while perceiving the visual observations and comprehending a natural language instruction. large data bias, which is caused by the disparity ratio between the small data scale and large navigation space, makes the vln task challeng...
arxiv:2106.07876
chern - simons gauge theory is formulated on three dimensional $ z _ 2 $ orbifolds. the locus of singular points on a given orbifold is equivalent to a link of wilson lines. this allows one to reduce any correlation function on orbifolds to a sum of more complicated correlation functions in the simpler theory on manifo...
arxiv:hep-th/9404101
we study various formulations of the boundary conditions for the euler equations of gas dynamics from a mathematical and numerical point of view. in the case of one space dimension, we recall the classical results, based on an analysis of the linearized problem. then we present a more recent formulation of the problem,...
arxiv:2409.11774
the properties of a dual - frequency vertical external cavity surface emitting laser ( vecsel ), in which two linear orthogonal polarization modes are oscillating simultaneously, are theoretically investigated. we derive a model based on the ideas introduced by san miguel et al. [ san miguel, feng, and moloney, phys. r...
arxiv:1311.4657
clustering is a fundamental problem in many scientific applications. standard methods such as $ k $ - means, gaussian mixture models, and hierarchical clustering, however, are beset by local minima, which are sometimes drastically suboptimal. recently introduced convex relaxations of $ k $ - means and hierarchical clus...
arxiv:1304.0499
we investigate linear parabolic, second - order boundary value problems with mixed boundary conditions on rough domains. assuming only boundedness and ellipticity on the coefficient function and very mild conditions on the geometry of the domain, including a very weak compatibility condition between the dirichlet bound...
arxiv:1503.07035
current structural pruning methods face two significant limitations : ( i ) they often limit pruning to finer - grained levels like channels, making aggressive parameter reduction challenging, and ( ii ) they focus heavily on parameter and flop reduction, with existing latency - aware methods frequently relying on simp...
arxiv:2504.02168
in this paper, we investigate the limiting absorption principle associated to and the well - posedness of the helmholtz equations with sign changing coefficients which are used to model negative index materials. using the reflecting technique introduced in \ cite { ng - complementary }, we first derive cauchy problems ...
arxiv:1507.01730
for more than a century, the grid has operated in a centralized top - down fashion. however, as distributed energy resources ( ders ) penetration grows, the grid edge is increasingly infused with intelligent computing and communication capabilities. thus, the bottom - up approach to grid operations inclined toward dece...
arxiv:2310.07103
numerical and experimental evidence is presented to show that many phase synchronized systems of non - identical chaotic oscillators, where the chaotic state is reached through a period - doubling cascade, show rapid convergence of the time - averaged frequency. the speed of convergence toward the natural frequency sca...
arxiv:cond-mat/0304485
the paper introduces confidential computing approaches focused on protecting hierarchical data within edge - cloud network. edge - cloud network suggests splitting and sharing data between the main cloud and the range of networks near the endpoint devices. the proposed solutions allow data in this two - level hierarchy...
arxiv:2306.10834
we study the renormalization of some dimension - 4, 7 and 10 operators in a class of nonlinear scalar - tensor theories. these theories are invariant under : ( a ) linear diffeomorphisms which represent an exact symmetry of the full non - linear action, and ( b ) global field - space galilean transformations of the sca...
arxiv:1212.4128
primordial black holes ( pbhs ) may have formed in the early universe due to the collapse of super - horizon curvature fluctuations. simulations of pbh formation have been essential for inferring the initial conditions that lead to black hole formation and for studying their properties and impact on our universe. the m...
arxiv:2504.05813
we propose a class of generating functions denoted by $ \ textrm { rgf } _ p ( x ) $, which is related to the sylvester denumerant for the quotients of numerical semigroups. using macmahon ' s partition analysis, we can obtain $ \ textrm { rgf } _ p ( x ) $ by extracting the constant term of a rational function. we use...
arxiv:2312.10889
both student exchanges and research collaboration. more modest cross - registration programs have been established with boston university, brandeis university, tufts university, massachusetts college of art, and the school of the museum of fine arts, boston. mit maintains substantial research and faculty ties with inde...
https://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology
application to be run on different hardware without needing to be rewritten. application software runs on top of the operating system and uses the computer ' s resources to perform a task. there are many different types of application software because the range of tasks that can be performed with modern computers is so...
https://en.wikipedia.org/wiki/Software
supermassive stars ( smss ) with $ \ sim10 ^ { 4 - 5 } ~ \ mathrm { m } _ { \ odot } $ are candidate objects for the origin of supermassive black holes observed at redshift $ z $ > 6. they are supposed to form in primordial - gas clouds that provide the central stars with gas at a high accretion rate, but their growth ...
arxiv:2011.02480
studies of heavy ion collisions have discovered that tiny fireballs of new phase of matter - - quark gluon plasma ( qgp ) - - undergoes explosion, called the little bang. in spite of its small size, it is not only well described by hydrodynamics, but even small perturbations on top of the explosion turned to be well de...
arxiv:1710.03776
i summarize the theory talks presented at the top 2017 conference.
arxiv:1712.09543
we present a measurement of the first - order azimuthal anisotropy, $ v _ 1 ( y ) $, of deuterons from au + au collisions at $ \ sqrt { s _ { nn } } $ = 7. 7, 11. 5, 14. 5, 19. 6, 27, and 39 gev recorded with the star experiment at the relativistic heavy ion collider ( rhic ). the energy dependence of the $ v _ 1 ( y )...
arxiv:2007.04609
proactive decision support ( pds ) helps in improving the decision making experience of human decision makers in human - in - the - loop planning environments. here both the quality of the decisions and the ease of making them are enhanced. in this regard, we propose a pds framework, named radar, based on the research ...
arxiv:1606.07841
we study the long - time dynamics of two - dimensional linear fokker - planck equations driven by a drift that can be decomposed in the sum of a large shear component and the gradient of a regular potential depending on one spatial variable. the problem can be interpreted as that of a passive scalar advected by a sligh...
arxiv:2008.11710
theoretical arguments suggest that protoplanetary disks around young stars should start small and grow with the addition of high angular momentum material to reach the radii of several hundred aus that characterize the disks around optically visible t tauri stars. examples of much more compact disks, with radii much le...
arxiv:astro-ph/0501621
the quantum singular value transformation has revolutionised quantum algorithms. by applying a polynomial to an arbitrary matrix, it provides a unifying picture of quantum algorithms. however, polynomials are restricted to definite parity and real coefficients, and finding the circuit ( the phase factors ) has proven d...
arxiv:2312.00723
the spin - dependent conductance and spin - polarization of a mos2 quantum dot are studied in presence ( absent ) of an external electric field perpendicular to the molybdenum plane. it is shown that in absence of the electric field, the deformation of a mos2 ribbon structure causes spin - splitting in the dot and non ...
arxiv:1501.00770
clinical notes are assigned icd codes - sets of codes for diagnoses and procedures. in the recent years, predictive machine learning models have been built for automatic icd coding. however, there is a lack of widely accepted benchmarks for automated icd coding models based on large - scale public ehr data. this paper ...
arxiv:2304.13998
multimodal fine - grained sentiment analysis has recently attracted increasing attention due to its broad applications. however, the existing multimodal fine - grained sentiment datasets most focus on annotating the fine - grained elements in text but ignore those in images, which leads to the fine - grained elements i...
arxiv:2206.13969
the cherenkov telescope array ( cta ) will provide very - high - energy ( vhe ; > ~ 30 gev ) gamma - ray spectra of unprecedented resolution over a large energy range. it is likely that, at least for bright sources, spectral features will be revealed that cannot be distinguished with the current generation of cherenkov...
arxiv:1307.3038
we present shape expressions ( shex ), an expressive schema language for rdf designed to provide a high - level, user friendly syntax with intuitive semantics. shex allows to describe the vocabulary and the structure of an rdf graph, and to constrain the allowed values for the properties of a node. it includes an algeb...
arxiv:1510.05555
in many application areas of extreme value theory, the variables of interest are not directly observable but instead contain errors. in this article, we quantify the effect of these errors in moment - based extreme value index estimation, and in corresponding extreme quantile estimation. we consider all, short -, light...
arxiv:2502.08510
relativistically covariant equation of motion for real dust particle under the action of electromagnetic radiation is derived. the particle is neutral in charge. equation of motion is expressed in terms of particle ' s optical properties, standardly used in optics for stationary particles.
arxiv:astro-ph/0008510
we perform a detailed investigation of the scaling potts field theory using the truncated conformal space approach.
arxiv:1112.5165
we consider a novel model for three standard families of left chiral states of quarks and leptons conjointly with a new family of dark matter fermionic particles and a sterile neutrino. it is suggested to use a so ( 10 ) symmetry for description of these families for the first time. it is presented estimations of masse...
arxiv:1609.01858
due to the increase of interest in augmented reality ( ar ), the potential uses of ar are increasing also. it can benefit the user in various fields such as education, business, medicine, and other. augmented reality supports the real environment with synthetic environment to give more details and meaning to the object...
arxiv:1111.2993
we report on the confirmation and mass determination of pi men c, the first transiting planet discovered by nasa ' s tess space mission. pi men is a naked - eye ( v = 5. 65 mag ), quiet g0 v star that was previously known to host a sub - stellar companion ( pi men b ) on a long - period ( porb = 2091 days ), eccentric ...
arxiv:1809.07573
quantum computers have the potential to change the way we solve computational problems. due to the noisy nature of qubits, the need arises to correct physical errors occurring during computation. the surface code is a promising candidate for such error correction that shows high threshold and which can store a logical ...
arxiv:2307.10147
tumor metastasis is one of the main factors responsible for the high fatality rate of cancer. metastasis can occur after malignant cells transition from the epithelial phenotype to the mesenchymal phenotype. this transformation allows cells to migrate via the circulatory system and subsequently settle in distant organs...
arxiv:1910.11311
the most frequently proposed model for the origin of quasars holds that the high accretion rates seen in luminous active galactic nuclei are primarily triggered during major mergers between gas - rich galaxies. while plausible for decades, this model has only begun to be tested with statistical rigor in the past few ye...
arxiv:1510.08461
we study global - in - time behavior of the solution to a reaction - diffusion system with mass conservation, as proposed in the study of cell polarity, particularly, the second model of \ cite { oi07 }. first, we show global - in - time existence of solution with compact orbit and then we examine stability and instabi...
arxiv:1511.04016
the viscoelastic properties of wood have been investigated with a dynamic mechanical analyser ( dma ) specifically conceived for wooden materials, the wavet device ( environmental vibration analyser for wood ). measurements were carried out on four wood species in the temperature range of 0 \ degree c to 100 \ degree c...
arxiv:0906.3614
i study the phenomenology of new heavy neutral gauge bosons z ', predicted by gut - driven u ( 1 ) ' gauge groups and by the sequential standard model. bsm decays into supersymmetric final states are accounted for, besides the sm modes so far investigated. i give an estimate of the number of supersymmetric events in z ...
arxiv:1207.5424
on 2004 december 27, a highly - energetic giant flare was recorded from the magnetar candidate sgr 1806 - 20. in the months preceding this flare, the persistent x - ray emission from this object began to undergo significant changes. here, we report on the evolution of key spectral and temporal parameters prior to and f...
arxiv:astro-ph/0602402
preventing fluid penetration poses a challenging reliability concern in the context of power electronics, which is usually caused by unforeseen microfractures along the sealing joints. a better and more reliable product design heavily depends on the understanding of the dynamic wetting processes happening inside these ...
arxiv:2403.09246
some aspects of the nonbirefringent cpt - even gauge sector of the standard model extension ( sme ), in the vicinity of a semi - transparent mirror, are investigated in this paper. we first consider a model where the lorentz symmetry breaking is caused by a single background vector $ v ^ { \ mu } $, and we obtain pertu...
arxiv:2205.05542
novel large scale research projects often require cooperation between various different project partners that are spread among the entire world. they do not only need huge computing resources, but also a reliable network to operate on. the large hadron collider ( lhc ) at cern is a representative example for such a pro...
arxiv:1101.3896
a semidefinite programming ( sdp ) relaxation globally solves many optimal power flow ( opf ) problems. for other opf problems where the sdp relaxation only provides a lower bound on the objective value rather than the globally optimal decision variables, recent literature has proposed a penalization approach to find f...
arxiv:1507.07212
empowered by today ' s rich tools for media generation and distribution, and the convenient internet access, crowdsourced streaming generalizes the single - source streaming paradigm by including massive contributors for a video channel. it calls a joint optimization along the path from crowdsourcers, through streaming...
arxiv:1502.06314
heat conduction mechanisms in superlattices could be different across different types of interfaces. van der waals superlattices are structures physically assembled through weak van der waals interactions by design, and may host properties beyond the traditional limits of lattice matching and processing compatibility, ...
arxiv:2202.06010
we prove that in characteristic 0 any proper subvariety of the variety of dual leibniz algebras is nilpotent. consequently, the variety of dual leibniz algebras is shpekhtian and has base rank 1.
arxiv:1001.1392
in this paper we study the convergence rate of a finite volume approximation of the compressible navier - - stokes - - fourier system. to this end we first show the local existence of a highly regular unique strong solution and analyse its global extension in time as far as the density and temperature remain bounded. w...
arxiv:2210.15561
in this paper we establish a relation between the spread of infectious diseases and the dynamics of so called m / g / 1 queues with processor sharing. the in epidemiology well known relation between the spread of epidemics and branching processes and the in queueing theory well known relation between m / g / 1 queues a...
arxiv:0812.4135
wearable technology is any technology that is designed to be used while worn. common types of wearable technology include smartwatches, fitness trackers, and smartglasses. wearable electronic devices are often close to or on the surface of the skin, where they detect, analyze, and transmit information such as vital sig...
https://en.wikipedia.org/wiki/Wearable_technology
in this paper, we consider the homogenization of the p - - laplace equation with a periodic coefficient that is perturbed by a local defect. this setting has been introduced in [ 6, 7 ] in the linear setting p = 2. we construct the correctors and we derive convergence results to the homogenized solution in the case p >...
arxiv:2206.03071
despite a history that dates back at least a quarter of a century studies of voids in the large - - scale structure of the universe are bedevilled by a major problem : there exist a large number of quite different void - - finding algorithms, a fact that has so far got in the way of groups comparing their results witho...
arxiv:0803.0918
motivated by a class of nonlinear imaging inverse problems, for instance, multispectral computed tomography ( msct ), this paper studies the convergence theory of the nonlinear kaczmarz method ( nkm ) for solving the system of nonlinear equations with component - wise convex mapping, namely, the function corresponding ...
arxiv:2309.15003
emulator embedded neural networks, which are a type of physics informed neural network, leverage multi - fidelity data sources for efficient design exploration of aerospace engineering systems. multiple realizations of the neural network models are trained with different random initializations. the ensemble of model re...
arxiv:2309.06628
we use quark combination model to study baryon antibaryon rapidity correlation in e ^ + e ^ - annihilation and compare our predictions with the available data. we find that these results and relevant properties are all consistent with data. so the evidence to rule out quark combination model which has long been cited i...
arxiv:hep-ph/9704271
we present the new public version of the ketju supermassive black hole ( smbh ) dynamics module, as implemented into gadget - 4. ketju adds a small region around each smbh where the dynamics of the smbhs and stellar particles are integrated using an algorithmically regularised integrator instead of the leapfrog integra...
arxiv:2306.04963
, the tobacco industry has described research demonstrating the harmful effects of smoking and second - hand smoke as junk science, through the vehicle of various astroturf groups. theories more favorable to corporate activities are portrayed in words as " sound science ". past examples where " sound science " was used...
https://en.wikipedia.org/wiki/Junk_science
on the broad - line region inclination and a constant $ \ sigma $ - based $ f $ is suitable for $ \ sigma _ { \ rm h \ beta } $ as the velocity tracer.
arxiv:2210.00684
in this article we study homotopes of finite - dimensional algebras ( not necessarily, associative ). in the case of associative algebras we study homotopes by methods of category theory and give description of so - called well - tempered elements of finite - dimensional associative algebra in algebraic terms.
arxiv:2005.00309
graph theory has been a powerful tool in solving difficult and complex problems arising in all disciplines. in particular, graph matching is a classical problem in pattern analysis with enormous applications. many graph problems have been formulated as a mathematical program and then solved using exact, heuristic, and ...
arxiv:2406.07666
a mobile manipulator often finds itself in an application where it needs to take a close - up view before performing a manipulation task. named this as a coupled active perception and manipulation ( capm ) problem, we model the uncertainty in the perception process and devise a key state / task planning approach that c...
arxiv:2309.16778
to explore the structure of the qcd phase diagram in high baryon density domain, several high - energy nuclear collision experiments in a wide range of beam energies are currently performed or planned using many accelerator facilities. in these experiments search for a first - order phase transition and the qcd critica...
arxiv:1901.11190
time - frequency ( tf ) representations of time series are intrinsically subject to the boundary effects. as a result, the structures of signals that are highlighted by the representations are garbled when approaching the boundaries of the tf domain. in this paper, for the purpose of real - time tf information acquisit...
arxiv:2102.07226
in the extra dimension models of add and rs we study the dependence of the various parton distribution functions on observable of drell - yan process to nlo in qcd at lhc and tevatron energies. uncertainties at lhc due to factorisation scales in going from leading to next - to - leading order in qcd for the various dis...
arxiv:hep-ph/0604135
ionization of helium - like ions with simultaneous excitation of the ns - states due to photon scattering is considered. the differential and total cross sections of the process are calculated to leading order of perturbation theory with respect to the interelectron interaction. the formulas obtained are applicable in ...
arxiv:1811.03787
with advances in optical sensor technology, heterogeneous camera systems are increasingly used for high - resolution ( hr ) video acquisition and analysis. however, motion transfer across multiple cameras poses challenges. to address this, we propose an algorithm based on time series analysis that identifies motion sea...
arxiv:2109.14174
by spatially mapping the doppler effect of an in - plane magnetic field on the quasiparticle tunneling spectrum, we have laterally imaged the vortex lattice in superconducting 2h - nbse2. cryomagnetic scanning tunneling spectroscopy was performed at 300 mk on the ab - surface oriented parallel to the field h. conductan...
arxiv:1110.4940
we show that the $ x $ - torsion order of a knot, which is defined in terms of a generalised lee complex, can be calculated using the reduced bar - natan - - lee - - turner spectral sequence. we use this for extensive calculations, including an example of $ x $ - torsion order $ 4 $.
arxiv:2412.05156
federated class incremental learning ( fcil ) is a critical yet largely underexplored issue that deals with the dynamic incorporation of new classes within federated learning ( fl ). existing methods often employ generative adversarial networks ( gans ) to produce synthetic images to address privacy concerns in fl. how...
arxiv:2405.17457
a monte carlo program based on a three dimensional vector approach was developed to model multiple refractive scattering of x - ray photons in objects with a fine structure. a particular interest was paid to the investigation of lung tissue. alveoli are low contrast and low absorbing structures. hence, they are not vis...
arxiv:1002.0092
partial differential equations ( pdes ) are ubiquitous in science and engineering. prior quantum algorithms for solving the system of linear algebraic equations obtained from discretizing a pde have a computational complexity that scales at least linearly with the condition number $ \ kappa $ of the matrices involved i...
arxiv:2306.11802
certificateless cryptography can be considered as an intermediate solution to overcome the issues in traditional public key infrastructure ( pki ) and identity - based public key cryptography ( id - pkc ). there exist a vast number of certificateless signature ( cls ) schemes in the literature ; however, most of them a...
arxiv:1909.10816
two experiments were made using a microwave generator, which sent a narrow beam, through a metallic plate with horizontal movement. at the other end a horn antenna coupled to a field - strength detector. in linear polarization double cycloids paths were found and in circular polarization spiral paths were found. these ...
arxiv:physics/0006035
we prove that the maximum speed and the entropy of a one - tape turing machine are computable, in the sense that we can approximate them to any given precision $ \ epsilon $. this is contrary to popular belief, as all dynamical properties are usually undecidable for turing machines. the result is quite specific to one ...
arxiv:1302.1170
the stable matching problem with couples ( smp - c ) is a ubiquitous real - world extension of the stable matching problem ( smp ) involving complementarities. although smp can be solved in polynomial time, smp - c is np - complete. hence, it is not clear which, if any, of the theoretical results surrounding the canoni...
arxiv:1505.03463
set - coloring a graph means giving each vertex a subset of a fixed color set so that no two adjacent subsets have the same cardinality. when the graph is complete one gets a new distribution problem with an interesting generating function. we explore examples and generalizations.
arxiv:math/0609049
unsupervised anomaly detection methods are at the forefront of industrial anomaly detection efforts and have made notable progress. previous work primarily used 2d information as input, but multi - modal industrial anomaly detection based on 3d point clouds and rgb images is just beginning to emerge. the regular approa...
arxiv:2311.06797
dataset distillation has emerged as a powerful approach for reducing data requirements in deep learning. among various methods, distribution matching - based approaches stand out for their balance of computational efficiency and strong performance. however, existing distance metrics used in distribution matching often ...
arxiv:2502.20653
we show that in yvo3 new hard phonons gradually become zone center active below ~ 210 k verifying that a lattice phase transition takes place at about that temperature. the debye - waller factor found from exafs measurements show an additional disorder below 150k seen as a departure from the thermal behavior. we bring ...
arxiv:cond-mat/0308255
with the discovery of the higgs boson, the spectrum of particles in the standard model ( sm ) is complete. it is more important than ever to perform precision measurements and to test for deviations from sm predictions in the electroweak sector. in this report, we investigate two themes in the arena of precision electr...
arxiv:1310.6708
atiyah proved that the moment map image of the closure of an orbit of a complex torus action is convex. brion generalized this result to actions of a complex reductive group. we extend their results to actions of a maximal solvable subgroup.
arxiv:math/0504537
we introduce in this work, the class of commutative rings whose lattice of ideals forms an mtl - algebra which is not necessary a bl - algebra. the so - called class of rings will be named mtl - rings. we prove that a local commutative ring with identity is an mtl - ring if and only if it is an arithmetical ring. it is...
arxiv:2106.10428
we investigate universal bounds on spherical codes and spherical designs that could be obtained using delsarte ' s linear programming methods. we give a lower estimate for the lp upper bound on codes, and an upper estimate for the lp lower bound on designs. specifically, when the distance of the code is fixed and the d...
arxiv:math/0203059
in this paper we briefly review a model that describes the diffusion - controlled aggregation exhibited by particles as they are deposited on a surface. this model allows to understand many experiments of thin film deposition. in the first part, we describe the model, which incorporates deposition, particle and cluster...
arxiv:cond-mat/9510141
this is an analysis of the itinerant model for antiferromagnetism, in which is included both on - site and inter - site electron correlations. we also consider the band degeneration, which brings into the hamiltonian the on - site exchange interactions. the green function technique is used and the coherent potential ap...
arxiv:cond-mat/0405478
we discuss briefly the first numerical implementation of the loop - tree duality ( ltd ) method. we apply the ltd method in order to calculate ultraviolet and infrared finite multi - leg one - loop feynman integrals. we attack scalar and tensor integrals with up to six legs ( hexagons ). the ltd method shows an excelle...
arxiv:1607.00875
the main result of the present paper is the proof of the strange duality for elliptic surfaces - - a duality between global sections of determinantal line bundles on moduli spaces of stable sheaves on a fixed elliptic surface. for this, we employ the " marian - oprea trick " : using bridgeland ' s birational isomorphis...
arxiv:2103.16417
spectra of nearly 20000 point - like objects to a galactic reddening corrected magnitude of i = 19. 1 have been obtained to test the completeness of the sdss quasar survey. the spatially - unresolved objects were selected from all regions of color space, sparsely sampled from within a 278 sq. deg. area of sky covered b...
arxiv:astro-ph/0501113
we study a model of random uniform hypergraphs, where a random instance is obtained by adding random edges to a large hypergraph of a given density. we obtain a tight bound on the number of random edges required to ensure non - 2 - colorability. we prove that for any k - uniform hypergraph with omega ( n ^ { k - epsilo...
arxiv:0707.0315
we extend the formalism of pure state thermodynamics to matrix product states. in pure state thermodynamics finite temperature properties of quantum systems are derived without the need of statistical mechanics ensembles, but instead using typical properties of random pure states. we show that this formalism can be use...
arxiv:1309.0851
we report results of analysis of the asca observation of the low mass x - ray binary dipping source xb1916 - 053 made on 1993, may 2nd. we have shown that the spectra can be well fitted by the same two - component model previously used to give good explanations of the very different dip sources x1755 - 338 and x1624 - ...
arxiv:astro-ph/9708002
the ( torsion ) complexity of a finite signed graph is defined to be the order of the torsion subgroup of the abelian group presented by its laplacian matrix. when $ g $ is $ d $ - periodic ( i. e., $ g $ has a free $ { \ mathbb z } ^ d $ - action by graph automorphisms with finite quotient ) the mahler measure of its ...
arxiv:2008.05665