Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials-Reference-Cited by-同舟云学术

Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials

Published:2006-02-22 Issue:3 Volume:19 Page:579-623
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Bufetov Alexander

Abstract

The aim of this paper is to prove a stretched-exponential bound for the decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations. A corollary is the Central Limit Theorem for the Teichmüller flow on the moduli space of abelian differentials with prescribed singularities.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2006-19-03/S0894-0347-06-00528-5/S0894-0347-06-00528-5.pdf

Reference30 articles.

1. Projective Swiss cheeses and uniquely ergodic interval exchange transformations;Veech, William A.,1981

2. Interval exchange transformations;Veech, William A.;J. Analyse Math.,1978

3. Projective Swiss cheeses and uniquely ergodic interval exchange transformations;Veech, William A.,1981

4. Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents;Zorich, Anton;Ann. Inst. Fourier (Grenoble),1996

5. The spectrum of ergodic automorphisms;Oseledec, V. I.;Dokl. Akad. Nauk SSSR,1966

Cited by 37 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two;Publications mathématiques de l'IHÉS;2023-10-31

2. The automorphism group of Rauzy diagrams;Groups, Geometry, and Dynamics;2023-08-13

3. Invariant measures of torus piecewise isometries;Advances in Mathematics;2022-09

4. On substitution automorphisms with pure singular spectrum;Mathematische Zeitschrift;2022-01-17

5. Lengths spectrum of hyperelliptic components;Journal of the European Mathematical Society;2021-10-19