{"article_type":"original","arxiv":1,"date_created":"2024-11-24T23:01:49Z","type":"journal_article","ec_funded":1,"date_updated":"2024-12-03T12:59:24Z","scopus_import":"1","page":"1853-1865","author":[{"full_name":"Czudek, Klaudiusz S","first_name":"Klaudiusz S","last_name":"Czudek","id":"5c0e116e-803f-11ed-ab7e-90d572405f20"},{"first_name":"Dmitry","full_name":"Dolgopyat, Dmitry","last_name":"Dolgopyat"}],"publication_identifier":{"issn":["1980-0436"]},"OA_place":"repository","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"18586","citation":{"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>.","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>.","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.","short":"K.S. CZUDEK, D. Dolgopyat, Alea 21 (2024) 1853–1865.","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.","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>"},"article_processing_charge":"No","issue":"2","doi":"10.30757/ALEA.V21-70","oa":1,"OA_type":"green","month":"11","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.","external_id":{"arxiv":["2404.11700"]},"year":"2024","volume":21,"date_published":"2024-11-01T00:00:00Z","title":"The central limit theorem and rate of mixing for simple random walks on the circle","publisher":"Instituto Nacional de Matematica Pura e Aplicada","language":[{"iso":"eng"}],"publication_status":"published","project":[{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"publication":"Alea","status":"public","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2404.11700"}],"department":[{"_id":"VaKa"}],"day":"01","intvolume":"        21","quality_controlled":"1","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."}]}