Exponential mixing for the Teichmuller flow
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2007-05-23 v1 几何拓扑
摘要
We study the dynamics of the Teichmuller flow in the moduli space of Abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Holder observables. A geometric consequence is that the action in the moduli space has a spectral gap.
引用
@article{arxiv.math/0511614,
title = {Exponential mixing for the Teichmuller flow},
author = {Artur Avila and Sebastien Gouezel and Jean-Christophe Yoccoz},
journal= {arXiv preprint arXiv:math/0511614},
year = {2007}
}
备注
49 pages