arXiv:1007.2289 Abstract | arXiv Analytics

arXiv:1007.2289 [math.DS]Abstract References Reviews Resources

Bowen's construction for the Teichmueller flow

Published 2010-07-14, updated 2011-01-10Version 2

Let Q be a connected component of a stratum in the space of quadratic differentials for a non-exceptional Riemann surface of finite type. We show that the probability measure on Q in the Lebesgue measure class which is invariant under the Teichmueller flow is obtained by Bowen's construction.

Comments: 41 pages, 2 figures, argument streamlined, writing improved

Categories: math.DS, math.GT

Subjects: 37C40, 37C27, 30F60

Keywords: teichmueller flow, bowens construction, lebesgue measure class, non-exceptional riemann surface, quadratic differentials

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