---
OA_place: repository
OA_type: green
_id: '18586'
abstract:
- lang: eng
  text: "We prove the Central Limit Theorem and superpolynomial mixing for environment\r\nviewed
    from the particle process in quasi periodic Diophantine random environment. The
    main\r\ningredients are smoothness estimates for the solution of the Poisson equation
    and local limit asymptotics for certain accelerated walks."
acknowledgement: "ents. The authors are grateful to Agnieszka Zelerowicz and the anonymous
  referee\r\nfor useful comments. The first author is grateful to Minsung Kim for
  providing some references.\r\nThe first author has been supported by the European
  Union Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie
  Grant Agreement No. 101034413. The second author has been supported by the NSF grant
  DMS 2246983."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Klaudiusz S
  full_name: Czudek, Klaudiusz S
  id: 5c0e116e-803f-11ed-ab7e-90d572405f20
  last_name: Czudek
- first_name: Dmitry
  full_name: Dolgopyat, Dmitry
  last_name: Dolgopyat
citation:
  ama: CZUDEK KS, Dolgopyat D. The central limit theorem and rate of mixing for simple
    random walks on the circle. <i>Alea</i>. 2024;21(2):1853-1865. doi:<a href="https://doi.org/10.30757/ALEA.V21-70">10.30757/ALEA.V21-70</a>
  apa: CZUDEK, K. S., &#38; Dolgopyat, D. (2024). The central limit theorem and rate
    of mixing for simple random walks on the circle. <i>Alea</i>. Instituto Nacional
    de Matematica Pura e Aplicada. <a href="https://doi.org/10.30757/ALEA.V21-70">https://doi.org/10.30757/ALEA.V21-70</a>
  chicago: CZUDEK, Klaudiusz S, and Dmitry Dolgopyat. “The Central Limit Theorem and
    Rate of Mixing for Simple Random Walks on the Circle.” <i>Alea</i>. Instituto
    Nacional de Matematica Pura e Aplicada, 2024. <a href="https://doi.org/10.30757/ALEA.V21-70">https://doi.org/10.30757/ALEA.V21-70</a>.
  ieee: K. S. CZUDEK and D. Dolgopyat, “The central limit theorem and rate of mixing
    for simple random walks on the circle,” <i>Alea</i>, vol. 21, no. 2. Instituto
    Nacional de Matematica Pura e Aplicada, pp. 1853–1865, 2024.
  ista: CZUDEK KS, Dolgopyat D. 2024. The central limit theorem and rate of mixing
    for simple random walks on the circle. Alea. 21(2), 1853–1865.
  mla: CZUDEK, Klaudiusz S., and Dmitry Dolgopyat. “The Central Limit Theorem and
    Rate of Mixing for Simple Random Walks on the Circle.” <i>Alea</i>, vol. 21, no.
    2, Instituto Nacional de Matematica Pura e Aplicada, 2024, pp. 1853–65, doi:<a
    href="https://doi.org/10.30757/ALEA.V21-70">10.30757/ALEA.V21-70</a>.
  short: K.S. CZUDEK, D. Dolgopyat, Alea 21 (2024) 1853–1865.
date_created: 2024-11-24T23:01:49Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2025-09-08T14:48:42Z
day: '01'
department:
- _id: VaKa
doi: 10.30757/ALEA.V21-70
ec_funded: 1
external_id:
  arxiv:
  - '2404.11700'
  isi:
  - '001440992000003'
intvolume: '        21'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2404.11700'
month: '11'
oa: 1
oa_version: Preprint
page: 1853-1865
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Alea
publication_identifier:
  issn:
  - 1980-0436
publication_status: published
publisher: Instituto Nacional de Matematica Pura e Aplicada
quality_controlled: '1'
scopus_import: '1'
status: public
title: The central limit theorem and rate of mixing for simple random walks on the
  circle
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 21
year: '2024'
...