Delocalization and diffusion profile for random band matrices

DOI10.1007/s00220-013-1773-3zbMath1279.15027arXiv1205.5669OpenAlexW3102939586MaRDI QIDQ368568

László Erdős, Horng-Tzer Yau, Jun Yin, Antti Knowles

Publication date: 23 September 2013

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

Full work available at URL: https://arxiv.org/abs/1205.5669

zbMATH Keywords

eigenvectorrandom walkquantum systemlocalization lengthband widthdiffusion operatormatrix delocalizationrandom band matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Sums of independent random variables; random walks (60G50) Eigenvalues, singular values, and eigenvectors (15A18) Diffusion processes (60J60) Random matrices (algebraic aspects) (15B52) Quantum state spaces, operational and probabilistic concepts (81P16)

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