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MINI REVIEW article

Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 10 - 2024 | doi: 10.3389/fams.2024.1508973
This article is part of the Research Topic Quasi-Normal Modes, Non-Selfadjoint Operators and Pseudospectrum: an Interdisciplinary Approach View all 8 articles

PSEUDOSPECTRA AND EIGENVALUE ASYMPTOTICS FOR DISORDERED NON-SELFADJOINT OPERATORS IN THE SEMICLASSICAL LIMIT

Provisionally accepted
Martin Vogel Martin Vogel 1,2*
  • 1 Centre National de la Recherche Scientifique (CNRS), Paris, France
  • 2 Université de Strasbourg, Strasbourg, Alsace, France

The final, formatted version of the article will be published soon.

    The purpose of this note is to review some recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.

    Keywords: Semiclassical analysis, non-selfadjoint operators, Random matrix, spectral theory, PDE (partial differential equation)

    Received: 10 Oct 2024; Accepted: 11 Nov 2024.

    Copyright: © 2024 Vogel. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Martin Vogel, Centre National de la Recherche Scientifique (CNRS), Paris, France

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