Finite‐Rank Perturbations of Random Band Matrices via Infinitesimal Free Probability-Reference-Cited by-同舟云学术

Finite‐Rank Perturbations of Random Band Matrices via Infinitesimal Free Probability

Published:2020-07-23 Issue:9 Volume:74 Page:1855-1895
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm. Pure Appl. Math.

Author:

Au Benson¹

Affiliation:

1. University of California, San Diego, Department of Mathematics 9500 Gilman Drive # 0112 La Jolla CA 92093‐0112 USA

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21924

Reference59 articles.

1. Anderson G. W.;Guionnet A.;Zeitouni O.An introduction to random matrices. Cambridge Studies in Advanced Mathematics 118. Cambridge University Press Cambridge 2010.

2. Au B.Traffic distributions of random band matrices.Electron. J. Probab.23(2018) no. 77 48 pp. 10.1214/18‐EJP205

3. Freeness over the diagonal for large random matrices;Au B.;Ann. Probab.

4. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

5. Outliers in the spectrum of large deformed unitarily invariant models

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Infinitesimal operators and the distribution of anticommutators and commutators;Journal of Functional Analysis;2024-11

2. The distribution of polynomials in monotone-independent elements;Random Matrices: Theory and Applications;2024-07-12

3. Operator-valued infinitesimal multiplicative convolutions;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2024-06-27

4. A unified approach to infinitesimal freeness with amalgamation;International Journal of Mathematics;2023-09-05

5. Semicircular families of general covariance from Wigner matrices with permuted entries;Probability Theory and Related Fields;2022-06-02