Bowen's construction for the Teichmueller flow

Mathematics – Dynamical Systems

Scientific paper

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41 pages, 2 figures, argument streamlined, writing improved

Scientific paper

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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