The eigenvector moment flow and local quantum unique ergodicity

DOI10.1007/s00220-016-2627-6zbMath1379.58014arXiv1312.1301OpenAlexW1663565691MaRDI QIDQ514291

Horng-Tzer Yau, Paul Bourgade

Publication date: 1 March 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1301

zbMATH Keywords

asymptotic normalityquantum unique ergodicitydistribution of eigenvectorseigenvector moment flowgeneralized Wigner matricesmulti-particle random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

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