Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
复制标题
二次微分空间中 Teichmuller 流的指数混合
DOI：
10.4171/cmh/263
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Maria Joao Resende
中科院分区：
文献类型：
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作者：
A. Avila;Maria Joao Resende
考虑了紧致黎曼曲面的模空间的单位余切束上的Teichmuller流。我们证明了它是指数混合的拉特纳类的可观测。更一般地说，这一结果适用于将泰奇穆勒流限制为地层的任意连接分量的情况。这个结果推广了[AGY]考虑了平方层的情况。
We consider the Teichmuller flow on the unit cotangent bundle of the moduli space of compact Riemann surfaces with punctures. We show that it is exponentially mixing for the Ratner class of observables. More generally, this result holds for the restriction of the Teichmuller flow to an arbitrary connected component of stratum. This result generalizes [AGY] which considered the case of strata of squares.