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

DOI10.1002/cpa.21895zbMath1446.60005arXiv1807.01559OpenAlexW3016890579MaRDI QIDQ3299463

Horng-Tzer Yau, Paul Bourgade, Jun Yin

Publication date: 22 July 2020

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01559

zbMATH Keywords

random matrices universality mean-field models band matrices quantum unique ergodicity eigenvalue gap statistics

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) General mathematical topics and methods in quantum theory (81Q99) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) PDEs in connection with mean field game theory (35Q89)

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