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Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality

  • Published:2020-04-19 Issue:7 Volume:73 Page:1526-1596
  • ISSN:0010-3640
  • Container-title:Communications on Pure and Applied Mathematics
  • language:en
  • Short-container-title:Comm. Pure Appl. Math.

Author:

Bourgade Paul1,Yau Horng‐Tzer2,Yin Jun3

Affiliation:

1. Courant Institute 251 Mercer St New York NY 10012 USA

2. Department of Mathematics Harvard University One Oxford Street Cambridge MA 02138‐2901 USA

3. Department of Mathematics 6172 Math Science Hall, University of California Los Angeles, Box 951555, MS 6304 Los Angeles CA 90095 USA

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Cited by 28 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. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices;Journal of Functional Analysis;2024-08

2. Bulk universality and quantum unique ergodicity for random band matrices in high dimensions;The Annals of Probability;2024-05-01

3. Dynamical Localization for Random Band Matrices Up to $$W\ll N^{1/4}$$;Communications in Mathematical Physics;2024-03

4. Extremal statistics of quadratic forms of GOE/GUE eigenvectors;The Annals of Applied Probability;2024-02-01

5. Localized Phase for the Erdős–Rényi Graph;Communications in Mathematical Physics;2024-01
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