On the real Davies' conjecture

DOI10.1214/21-AOP1522zbMath1486.15013arXiv2005.08908OpenAlexW4200388013WikidataQ113751983 ScholiaQ113751983MaRDI QIDQ2072087

Ashwin Sah, Vishesh Jain, Mehtaab Sawhney

Publication date: 1 February 2022

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08908

zbMATH Keywords

pseudospectrumeigenvalue gapsDavies' conjectureeigenvector condition number

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (2)

On the Condition Number of the Shifted Real Ginibre Ensemble ⋮ The Complexity of Diagonalization

Uses Software

• Eigtool

Cites Work

• Unnamed Item
• Unnamed Item
• On sharp bounds for marginal densities of product measures
• No-gaps delocalization for general random matrices
• Random matrices have simple spectrum
• Normal Matrices and the Completion Problem
• Regularization of Non-Normal Matrices by Gaussian Noise
• Approximate Diagonalization
• High-Dimensional Probability
• Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture
• Convergence of the spectral measure of non-normal matrices

This page was built for publication: On the real Davies' conjecture