The central limit theorem and rate of mixing for simple random walks on the circle
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.
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Author
CZUDEK, Klaudiusz SISTA;
Dolgopyat, Dmitry
Department
Abstract
We prove the Central Limit Theorem and superpolynomial mixing for environment
viewed from the particle process in quasi periodic Diophantine random environment. The main
ingredients are smoothness estimates for the solution of the Poisson equation and local limit asymptotics for certain accelerated walks.
Publishing Year
Date Published
2024-11-01
Journal Title
Alea
Publisher
Instituto Nacional de Matematica Pura e Aplicada
Acknowledgement
ents. The authors are grateful to Agnieszka Zelerowicz and the anonymous referee
for useful comments. The first author is grateful to Minsung Kim for providing some references.
The 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.
Volume
21
Issue
2
Page
1853-1865
ISSN
IST-REx-ID
Cite this
CZUDEK KS, Dolgopyat D. The central limit theorem and rate of mixing for simple random walks on the circle. Alea. 2024;21(2):1853-1865. doi:10.30757/ALEA.V21-70
CZUDEK, K. S., & Dolgopyat, D. (2024). The central limit theorem and rate of mixing for simple random walks on the circle. Alea. Instituto Nacional de Matematica Pura e Aplicada. https://doi.org/10.30757/ALEA.V21-70
CZUDEK, Klaudiusz S, and Dmitry Dolgopyat. “The Central Limit Theorem and Rate of Mixing for Simple Random Walks on the Circle.” Alea. Instituto Nacional de Matematica Pura e Aplicada, 2024. https://doi.org/10.30757/ALEA.V21-70.
K. S. CZUDEK and D. Dolgopyat, “The central limit theorem and rate of mixing for simple random walks on the circle,” Alea, vol. 21, no. 2. Instituto Nacional de Matematica Pura e Aplicada, pp. 1853–1865, 2024.
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.
CZUDEK, Klaudiusz S., and Dmitry Dolgopyat. “The Central Limit Theorem and Rate of Mixing for Simple Random Walks on the Circle.” Alea, vol. 21, no. 2, Instituto Nacional de Matematica Pura e Aplicada, 2024, pp. 1853–65, doi:10.30757/ALEA.V21-70.
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