arXiv:0908.1102 Abstract | arXiv Analytics

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Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials

Published 2009-08-07Version 1

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.

Comments: 36 pages, 1 figure

Categories: math.DS

Subjects: 37A25

Keywords: teichmuller flow, quadratic differentials, exponential mixing, unit cotangent bundle, compact riemann surfaces

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