Eigenvalue rigidity for truncations of random unitary matrices

DOI10.1142/S2010326321500155zbMath1477.60020arXiv1905.02233MaRDI QIDQ5860231

Kathryn Stewart, Elizabeth S. Meckes

Publication date: 19 November 2021

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02233

zbMATH Keywords

eigenvaluesHaar measureconcentration inequalitiestruncationsrandom unitary matricessubmatrices

Mathematics Subject Classification ID

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

Cites Work

• Truncations of random unitary matrices and Young tableaux
• Determinantal processes and independence
• Gaussian fluctuations of eigenvalues in the GUE
• A rate of convergence for the circular law for the complex Ginibre ensemble
• On the eigenvalues of truncations of random unitary matrices
• Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
• Circular law and arc law for truncation of random unitary matrix
• Truncations of random unitary matrices