Results 1 to 10 of about 119 (111)
Frontiers in Applied Mathematics and StatisticsThe purpose of this note is to review certain recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Martin Vogel
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Résonances Semiclassiques Engendrées par des Croisements de Trajectoires Classiques
Comptes Rendus. Mathématique, 2021 We consider a $2\times 2$ system of one-dimensional semiclassical Schrödinger operators with small interactions with respect to the semiclassical parameter $h$.
Higuchi, Kenta
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Comparative asymptotics for discrete semiclassical orthogonal polynomials
Bulletin of Mathematical Sciences, 2023 We study the ratio [Formula: see text] asymptotically as [Formula: see text], where the polynomials [Formula: see text] are orthogonal with respect to a discrete linear functional and [Formula: see text] denote the falling factorial polynomials.
Diego Dominici
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Современная математика: Фундаментальные направления, 2022 We describe the semiclassical asymptotic behavior of the solution of the Cauchy problem for the Schrödinger equation with a delta potential localized on a surface of codimension 1.
A. I. Shafarevich, O. A. Shchegortsova
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Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
Mathematics, 2021 A semiclassical approach based on the WKB–Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active media excited by a contracted discharge.
Alexander V. Shapovalov +1 more
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Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns [PDF]
Компьютерные исследования и моделирование, 2009 The semiclassical approximation method is applied for solution construction of the Fokker-Planck equation with quadratic nonlocal nonlinearity and various coefficients in models of asset returns estimation.
Andrey Yur'evich Trifonov +2 more
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Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry
Mathematics, 2021 We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bounded
Yuri A. Kordyukov
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Bulletin of Mathematical Sciences, 2016 We discuss the asymptotics of the eigenvalue counting function for partial differential operators and related expressions paying the most attention to the sharp asymptotics.
Victor Ivrii
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The Einstein-Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker-Planck-Kolmogorov equation [PDF]
Компьютерные исследования и моделирование, 2010 Semiclassical approximation formalism is developed for the multidimensional Fokker-Planck-Kolmogorov equation with non-local and nonlinear drift vector with respect to a small diffusion coefficient D, D0, in the class of trajectory concentrated functions.
Roman Olegovich Rezaev +2 more
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Non-equilibrium quantum transport in presence of a defect: the non-interacting case
SciPost Physics, 2019 We study quantum transport after an inhomogeneous quantum quench in a free fermion lattice system in the presence of a localised defect. Using a new rigorous analytical approach for the calculation of large time and distance asymptotics of physical ...
Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen
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