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Moscow Mathematical Journal, 2014, Volume 14, Number 2, Pages 205–224
DOI: https://doi.org/10.17323/1609-4514-2014-14-2-205-224 (Mi mmj520) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Finitely-additive measures on the asymptotic foliations of a Markov compactum

Alexander I. Bufetovabcde

a Steklov Institute of Mathematics, Moscow
b Institute for Information Transmission Problems, Moscow
c Rice University, Houston TX
d National Research University Higher School of Economics, Moscow
e Institut de Mathématiques de Marseille, Laboratoire d'Analyse, Topologie, Probabilités, Aix-Marseille Université, CNRS, Marseille
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DOI: https://doi.org/10.17323/1609-4514-2014-14-2-205-224
Abstract: An asymptotic expansion for ergodic integrals and limit theorems are obtained for translation flows along stable foliations of pseudo-Anosov automorphisms.
Key words and phrases: Vershik transformations, finitely-additive measures, renormalization, limit theorems.
Funding agency Grant number
Agence Nationale de la Recherche ANR-11-IDEX-0001-02
JCJC SIMI 1
Ministry of Education and Science of the Russian Federation MD- 2859.2014.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 11-01-00654
12-01-31284
12-01-33020
13-01-12449
The author is supported by A*MIDEX project (No. ANR-11-IDEX-0001-02), financed by Programme “Investissements d’Avenir” of the Government of the French Republic managed by the French National Research Agency (ANR). The author is also supported in part by the Grant MD-2859.2014.1 of the President of the Russian Federation, by the Programme “Dynamical systems and mathematical control theory” of the Presidium of the Russian Academy of Sciences, by the ANR under the project “VALET” of the Programme JCJC SIMI 1, and by the RFBR grants 11-01-00654, 12-01-31284, 12-01-33020, 13-01-12449.
Received: January 17, 2013; in revised form November 25, 2013
Bibliographic databases:
Document Type: Article
MSC: 37A50, 37E35, 37B10, 60F, 30F60, 37D25, 28D10
Language: English
Citation: Alexander I. Bufetov, “Finitely-additive measures on the asymptotic foliations of a Markov compactum”, Mosc. Math. J., 14:2 (2014), 205–224
Citation in format AMSBIB
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