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Moscow Mathematical Journal

Volume 14, Issue 2, April–June 2014  pp. 205–224.

Finitely-Additive Measures on the Asymptotic Foliations of a Markov Compactum

Authors:  Alexander I. Bufetov
Author institution:Institut de Mathématiques de Marseille, Laboratoire d’Analyse, Topologie, Probabilités, Aix-Marseille Université, CNRS, Marseille,
Steklov Institute of Mathematics, Moscow,
Institute for Information Transmission Problems, Moscow,
National Research University Higher School of Economics, Moscow, and
Rice University, Houston TX


An asymptotic expansion for ergodic integrals and limit theorems are obtained for translation flows along stable foliations of pseudo-Anosov automorphisms.

2010 Mathematics Subject Classification. 37A50, 37E35, 37B10, 60F, 30F60, 37D25, 28D10.

Keywords: Vershik transformations, renormalization, finitely-additive measures, limit theorems.

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