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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
Author:
Alexander I. Bufetov
Journal:
J. Amer. Math. Soc. 19 (2006), 579-623
MSC (2000):
Primary 37A25, 37F25, 37F30, 37E05, 60F05, 60J10
Posted:
February 22, 2006
MathSciNet review:
2220100
Full-text PDF Free Access
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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.
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Additional Information
Alexander I. Bufetov
Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Address at time of publication:
(Until June 30, 2006) Department of Mathematics, The University of Chicago, 5734 South University Avenue, Chicago, Illinois 60637; (starting July 1, 2006) Department of Mathematics, Rice University, MS 136, 6100 Main Street, Houston, Texas 77251-1892
Email:
bufetov@math.rice.edu
DOI:
http://dx.doi.org/10.1090/S0894-0347-06-00528-5
PII:
S 0894-0347(06)00528-5
Keywords:
Interval exchange transformations,
Rauzy induction,
speed of mixing,
Teichm{\"u}ller geodesic flow,
central limit theorem.
Received by editor(s):
October 6, 2004
Posted:
February 22, 2006
Dedicated:
\hfill Se non quel tanto che n'accende il sole. \hfill \textup{Michelangelo Buonarroti}
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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