Spectral statistics of non-selfadjoint operators subject to small random perturbations

DOI10.5802/slsedp.113zbMath1475.35437OpenAlexW2769890288MaRDI QIDQ2053919

Martin Vogel

Publication date: 30 November 2021

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=SLSEDP_2016-2017____A19_0/

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (1)

Pseudospectrum and binary black hole merger transients

Uses Software

• Eigtool

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The precise shape of the eigenvalue intensity for a class of non-self-adjoint operators under random perturbations
• Large bidiagonal matrices and random perturbations
• Correlation functions for random complex zeroes: Strong clustering and local universality
• Semiclassical spectral instability of non-self-adjoint operators. II
• Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
• Perturbations of Jordan matrices
• Universality and scaling of correlations between zeros on complex manifolds
• Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations
• Random matrices: universality of local spectral statistics of non-Hermitian matrices
• Analysis meets geometry. The Mikael Passare memorial volume
• Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds
• Elementary linear algebra for advanced spectral problems
• Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
• Outlier Eigenvalues for Deformed I.I.D. Random Matrices
• Random matrix theory
• Chaotic analytic zero points: exact statistics for those of a random spin state
• Pseudo–spectra, the harmonic oscillator and complex resonances
• Foundations of Modern Probability
• Pseudospectra of Linear Operators
• Pseudospectra of semiclassical (pseudo-) differential operators
• Convergence of the spectral measure of non-normal matrices
• Numerical inverting of matrices of high order
• Semiclassical spectral instability for non-self-adjoint operators. I: A model
• Probabilistic Weyl laws for quantized tori

This page was built for publication: Spectral statistics of non-selfadjoint operators subject to small random perturbations