On the measure with maximal entropy for the Teichmüller flow on the moduli space of Abelian differentials

DOI10.1007/s10688-008-0032-4zbMath1159.37012OpenAlexW1963634863MaRDI QIDQ1002822

B. M. Gurevich, Alexander I. Bufetov

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0032-4

zbMATH Keywords

moduli spacesuspension flowTeichmüller flowtopological Markov shiftMarkov-Bernoulli reductiontopological Bernoulli shift

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Flows on surfaces (37E35)

Related Items (3)

On a measure with maximal entropy for a suspension flow over a countable alphabet Markov shift ⋮ Multifractal analysis for the Teichmüller flow ⋮ Time change for flows and thermodynamic formalism

Cites Work

• Quadratic differentials and foliations
• The Teichmüller geodesic flow
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
• Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials

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