Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model
arXiv:2506.17177 · doi:10.1007/s11005-025-02037-5
Abstract
We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices [arXiv:2403.10359] and an intricate analysis of the deterministic approximation.
23 pages LaTeX, 2 figures; v2: minor improvements throughout the paper; final version