Results 1 to 10 of about 260,310 (201)
A Fredholm Determinant Representation in ASEP [PDF]
Journal of Statistical Physics, 2008 In previous work the authors found integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice. The dynamics are uniquely determined once the initial state is specified. In this note we restrict our attention to the case of step initial condition with particles at the positive integers, and consider the ...
Craig Tracy, Harold Widom
exaly +6 more sources
Evans function and Fredholm determinants. [PDF]
Proc Math Phys Eng Sci, 2015 We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first-order linear differential operators on the real line. The applications we have in mind include linear stability problems associated with travelling wave solutions to nonlinear partial differential equations, for example ...
Karambal I, Malham SJ.
europepmc +7 more sources
Infinite-Dimensional Quantum Entropy: The Unified Entropy Case [PDF]
EntropyInfinite-dimensional systems play an important role in the continuous-variable quantum computation model, which can compete with a more standard approach based on qubit and quantum circuit computation models.
Roman Gielerak +2 more
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Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
SciPost Physics, 2023 We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion.
Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev
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Application of symmetric analytic functions to spectra of linear operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak +4 more
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A Fredholm determinant for semiclassical quantization [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993 We investigate a new type of approximation to quantum determinants, the ‘‘quantum Fredholm determinant,’’ and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the Gutzwiller–Voros zeta functions derived from the Gutzwiller trace formula. The conjecture is
Cvitanovic, P. +3 more
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On the dynamics of free-fermionic tau-functions at finite temperature
SciPost Physics Core, 2022 In this work we explore an instance of the $\tau$-function of vertex type operators, specified in terms of a constant phase shift in a free-fermionic basis.
Daniel Chernowitz, Oleksandr Gamayun
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Null octagon from Deift-Zhou steepest descent
Nuclear Physics B, 2022 A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a
A.V. Belitsky
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Brane transitions from exceptional groups
Nuclear Physics B, 2021 It is a well-known result by Hanany and Witten that, when two five-branes move across each other, D3-branes stretching between them are generated. Later the same brane configurations played a crucial role in understanding the worldvolume theory of ...
Tomohiro Furukawa +2 more
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KP governs random growth off a 1-dimensional substrate
Forum of Mathematics, Pi, 2022 The logarithmic derivative of the marginal distributions of randomly fluctuating interfaces in one dimension on a large scale evolve according to the Kadomtsev–Petviashvili (KP) equation. This is derived algebraically from a Fredholm determinant obtained
Jeremy Quastel, Daniel Remenik
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