Normal typicality and dynamical typicality for a random block-band matrix model
We prove <i>normal typicality</i> and <i>dynamical typicality</i> 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.
Authors
- Joscha Henheik (ORCID: https://orcid.org/0000-0003-1106-327X)
- László Erdős (ORCID: https://orcid.org/0000-0001-5366-9603)
- Cornelia Vogel (ORCID: https://orcid.org/0000-0002-3905-4730)
Institutions
- University of Geneva (CH)
- Institute of Science and Technology Austria (AT)
- LMU Klinikum (DE)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Letters in Mathematical Physics
- Published
- 2025-12-26
- DOI
- https://doi.org/10.1007/s11005-025-02037-5
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Institute of Science and Technology Austria
- European Commission
- Deutsche Forschungsgemeinschaft
- Staatssekretariat für Bildung, Forschung und Innovation