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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 |
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| Authors: | Alexander I Bufetov |
| Institution: | Department of Mathematics, Princeton University, Princeton, New Jersey 08544 |
| 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. |
| Keywords: | Interval exchange transformations Rauzy induction speed of mixing Teichm{\"u}ller geodesic flow central limit theorem |
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