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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

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

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

3. Incomplete localization for disordered chiral strips;Journal of Mathematical Physics;2023-08-01

4. Functional central limit theorems for Wigner matrices;The Annals of Applied Probability;2023-02-01

5. Gaussian fluctuations in the equipartition principle for Wigner matrices;Forum of Mathematics, Sigma;2023
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