Results 31 to 40 of about 260,310 (201)
Evaluation of integrals for the emptiness formation probability in the square-ice model
Nuclear Physics BWe study the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. We present a conjecture according to which at the ice point, i.e., when all the Boltzmann weights are equal, the known multiple integral ...
F. Colomo, A.G. Pronko
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Some remarks on spectra of nuclear operators
Open Mathematics, 2018 We give criteria for the spectra of some nuclear operators in subspaces of quotients of Lp-spaces to be central-symmetric, as well as for the spectra of linear operators in Banach spaces to be Zd-symmetric in the sense of B. Mityagin.
Reinov Oleg I.
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On Fredholm determinants in topology
CoRR, 2016 Given an abstract simplicial complex G, the connection graph G' of G has as vertex set the faces of the complex and connects two if they intersect. If A is the adjacency matrix of that connection graph, we prove that the Fredholm characteristic det(1+A) takes values in {-1,1} and is equal to the Fermi characteristic, which is the product of the w(x ...
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Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions [PDF]
, 2016 We derive Fredholm determinant representation for isomonodromic tau functions of Fuchsian systems with $n$ regular singular points on the Riemann sphere and generic monodromy in $\mathrm{GL}(N,\mathbb C)$.
Gavrylenko, P.; id_orcid, Lisovyy, O.
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The time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant
, 2009 We calculate a correlation function of the Jordan-Wigner operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm operator, convenient ...
Giamarchi, T. +2 more
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The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification [PDF]
, 2022 We provide a thorough construction of a system of compatible determinant line bundles over spaces of Fredholm operators, fully verify that this system satisfies a number of important properties, and include explicit formulas for all relevant isomorphisms
Zinger, Aleksey
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Dynamical correlation functions in the Ising field theory
SciPost PhysicsWe study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant representation of ...
István Csépányi, Márton Kormos
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Central European Journal of Mathematics, 2011 The Fredholm alternative is one of the cornerstones of Functional Analysis. In his classical paper ``Sur une classe d'équations fonctionnelles'' [Acta Math. 27, 365--390 (1903; JFM 34.0422.02)], \textit{I.~Fredholm} obtained it by means of his theory of determinants, which nowadays has somewhat gone into oblivion, being replaced by the Riesz-Schauder ...
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Journal of Sleep Research, EarlyView.ABSTRACT The importance of sleep as a key component of cardiovascular health has been increasingly recognized. Our previous research demonstrated that auditory‐enhanced slow waves increase cardiac function, but the underlying mechanisms behind these beneficial effects remain uncertain. In this study, we examined the influence of two types of slow waves
Giulia Alessandrelli +16 more
wiley +1 more source
Rényi entanglement entropies for the compactified massless boson with open boundary conditions
Journal of High Energy Physics, 2019 We investigate the Rényi entanglement entropies for the one-dimensional massless free boson compactified on a circle, which describes the low energy sector of several interacting many-body 1d systems (Luttinger Liquid).
Alvise Bastianello
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