Eigenstate Thermalization Hypothesis for Wigner-type Matrices

Published 15 Mar 2024 in math.PR | (2403.10359v2)

Abstract: We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observables of arbitrary rank. As the main technical ingredient, we prove rank-uniform optimal local laws for one and two resolvents of a Wigner-type matrix with regular observables.

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