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arxiv: 1007.2289 · v2 · pith:JK3ACX7Anew · submitted 2010-07-14 · 🧮 math.DS · math.GT

Bowen's construction for the Teichmueller flow

classification 🧮 math.DS math.GT
keywords bowenconstructionflowmeasureteichmuellerclasscomponentconnected
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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.

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