---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '20925'
abstract:
- lang: eng
  text: '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.'
acknowledgement: L.E. and J.H. are supported by the ERC Advanced Grant “RMTBeyond”
  No. 101020331. Moreover, J.H. acknowledges (partial) financial support by the ERC
  Consolidator Grant “ProbQuant” (jointly with the Swiss State Secretariat for Education,
  Research and Innovation). C.V. was (partially) supported by the German Academic
  Scholarship Foundation and the Deutsche Forschungsgemeinschaft (DFG, German Research
  Foundation) – TRR 352 – Project-ID 470903074. Moreover, C.V. acknowledges (partial)
  financial support by the ERC Starting Grant “FermiMath" No. 101040991 and the ERC
  Consolidator Grant “RAMBAS” No. 10104424, funded by the European Union. Open access
  funding provided by Institute of Science and Technology (IST Austria).
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Cornelia
  full_name: Vogel, Cornelia
  id: 1cd0554a-ea28-11f0-9f40-ff76440883cd
  last_name: Vogel
citation:
  ama: Erdös L, Henheik SJ, Vogel C. Normal typicality and dynamical typicality for
    a random block-band matrix model. <i>Letters in Mathematical Physics</i>. 2026;116.
    doi:<a href="https://doi.org/10.1007/s11005-025-02037-5">10.1007/s11005-025-02037-5</a>
  apa: Erdös, L., Henheik, S. J., &#38; Vogel, C. (2026). Normal typicality and dynamical
    typicality for a random block-band matrix model. <i>Letters in Mathematical Physics</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s11005-025-02037-5">https://doi.org/10.1007/s11005-025-02037-5</a>
  chicago: Erdös, László, Sven Joscha Henheik, and Cornelia Vogel. “Normal Typicality
    and Dynamical Typicality for a Random Block-Band Matrix Model.” <i>Letters in
    Mathematical Physics</i>. Springer Nature, 2026. <a href="https://doi.org/10.1007/s11005-025-02037-5">https://doi.org/10.1007/s11005-025-02037-5</a>.
  ieee: L. Erdös, S. J. Henheik, and C. Vogel, “Normal typicality and dynamical typicality
    for a random block-band matrix model,” <i>Letters in Mathematical Physics</i>,
    vol. 116. Springer Nature, 2026.
  ista: Erdös L, Henheik SJ, Vogel C. 2026. Normal typicality and dynamical typicality
    for a random block-band matrix model. Letters in Mathematical Physics. 116, 5.
  mla: Erdös, László, et al. “Normal Typicality and Dynamical Typicality for a Random
    Block-Band Matrix Model.” <i>Letters in Mathematical Physics</i>, vol. 116, 5,
    Springer Nature, 2026, doi:<a href="https://doi.org/10.1007/s11005-025-02037-5">10.1007/s11005-025-02037-5</a>.
  short: L. Erdös, S.J. Henheik, C. Vogel, Letters in Mathematical Physics 116 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: The Matlab code used to generate the datasets of the provided
  examples is available from the corresponding author on request.
date_created: 2026-01-04T23:01:33Z
date_published: 2026-02-01T00:00:00Z
date_updated: 2026-07-23T06:42:28Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s11005-025-02037-5
ec_funded: 1
external_id:
  pmid:
  - '41459414'
file:
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  creator: dernst
  date_created: 2026-07-23T06:42:01Z
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has_accepted_license: '1'
intvolume: '       116'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
mathsc:
- 60B20
- 82C10
month: '02'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Letters in Mathematical Physics
publication_identifier:
  eissn:
  - 1573-0530
  issn:
  - 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: upon request
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Normal typicality and dynamical typicality for a random block-band matrix model
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2026'
...