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Russian Mathematical Surveys, 2013, Volume 68, Issue 5, Pages 789–860
DOI: https://doi.org/10.1070/RM2013v068n05ABEH004858 (Mi rm9557) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Limit theorems for suspension flows over Vershik automorphisms

A. I. Bufetovabcd

a Steklov Mathematical Institute of the Russian Academy of Sciences
b Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
c National Research University "Higher School of Economics"
d Laboratoire d'Analyse, Topologie, Probabilités, Aix-Marseille Université, CNRS
English version PDF (1035 kB) Citations (17)
References:
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DOI: https://doi.org/10.1070/RM2013v068n05ABEH004858
Abstract: In this paper an asymptotic expansion of ergodic integrals for suspension flows over Vershik automorphisms is obtained and a limit theorem for these flows is given.
Bibliography: 49 titles.
Keywords: Vershik automorphisms, renormalization, rate of convergence in the ergodic theorem, limit theorems, finitely additive invariant measures, Teichmüller flow, Forni invariant distributions, Kontsevich–Zorich cocycle.
Funding agency Grant number
Agence Nationale de la Recherche ANR-11-IDEX-0001-02
Alfred P. Sloan Foundation
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Ministry of Education and Science of the Russian Federation МК-4893.2010.1
МК-6734.2012.1
Russian Foundation for Basic Research 11-01-00654
12-01-33020
12-01-31284
10-01-93115-НЦНИЛ
National Science Foundation DMS 0604386
Rice University
Received: 20.02.2012
Russian version:
Uspekhi Matematicheskikh Nauk, 2013, Volume 68, Issue 5(413), Pages 3–80
DOI: https://doi.org/10.4213/rm9557
Bibliographic databases:
Document Type: Article
UDC: 517.987.5+517.938+519.21
MSC: 37A50, 37E35, 37B10, 60Fxx
Language: English
Original paper language: Russian
Citation: A. I. Bufetov, “Limit theorems for suspension flows over Vershik automorphisms”, Uspekhi Mat. Nauk, 68:5(413) (2013), 3–80; Russian Math. Surveys, 68:5 (2013), 789–860
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:287
    English version PDF:30
    References:79
    First page:78
     
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