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

Summary:

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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