Alexander I. Bufetov, “Finitely-additive measures on the asymptotic foliations of a Markov compactum”, Mosc. Math. J., 2014, Volume 14, Number 2,Pages <nobr>205

This article is cited in 12 papers

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

Alexander I. Bufetov^abcde

^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

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.

MSC: 37A50, 37E35, 37B10, 60F, 30F60, 37D25, 28D10

Received: January 17, 2013; in revised form November 25, 2013

Language: English

DOI: 10.17323/1609-4514-2014-14-2-205-224