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Normal typicality and dynamical typicality for a random block-band matrix model
László Erdős1, Joscha Henheik2, Cornelia Vogel3
1Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria.
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 (Erdős and Riabov in Commun Math Phys 405(12): 282, 2024) and an intricate analysis of the deterministic approximation.
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