The density of states of 1D random band matrices via a supersymmetric transfer operator

Recently,M. and T. Shcherbina proved a pointwise semicircle law for the density of states of one-dimensional Gaussian band matrices of large bandwidth. The main step of their proof is a new method to study the spectral properties of non-self-adjoint operators in the semiclassical regime. The method...

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Bibliographic Details
Published inJournal of spectral theory Vol. 11; no. 1; pp. 125 - 191
Main Authors Disertori, Margherita, Lohmann, Martin, Sodin, Sasha
Format Journal Article
LanguageEnglish
Published European Mathematical Society Publishing House 01.01.2021
Subjects
Mathematical research
Matrices
Operator theory
Supersymmetry
Germany
Online AccessGet full text
ISSN1664-039X
1664-0403
DOI10.4171/jst/338

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