Bowen's construction for the Teichmüller flow | Zendy

Ursula Hamenstädt | Zendy

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Bowen's construction for the Teichmüller flow

Author(s) -

Ursula Hamenstädt

Publication year - 2013

Publication title -

journal of modern dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 25

eISSN - 1930-532X

pISSN - 1930-5311

DOI - 10.3934/jmd.2013.7.489

Subject(s) - mathematics , moduli space , lebesgue measure , teichmüller space , pure mathematics , quadratic equation , invariant (physics) , flow (mathematics) , abelian group , type (biology) , mathematical analysis , lebesgue integration , riemann surface , geometry , mathematical physics , ecology , biology

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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