Slowly divergent geodesics in moduli space

DOI10.1090/S1088-4173-04-00113-4zbMath1067.37036arXivmath/0501295MaRDI QIDQ4674815

Yitwah Cheung

Publication date: 18 May 2005

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501295

zbMATH Keywords

moduli space of Riemann surfacesTeichmüller geodesicsNonergodic examples

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Continued fractions and generalizations (11J70) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Differentials on Riemann surfaces (30F30)

Related Items (4)

SINGULAR DIRECTIONS IN VEECH SURFACES ⋮ Dichotomy for the Hausdorff dimension of the set of nonergodic directions ⋮ Quantitative recurrence and large deviations for Teichmüller geodesic flow ⋮ On dichotomy for Hausdorff dimension of the set of nonergodic directions

Cites Work

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• Hausdorff dimension of sets of nonergodic measured foliations
• Hausdorff dimension of the set of nonergodic foliations of a quadratic differential
• On the cohomological equation for interval exchange maps.
• Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2

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