On Hausdorff dimension of the set of non-ergodic directions of two-genus double cover of tori

DOI10.3934/dcds.2018099zbMath1398.32017OpenAlexW2792949608WikidataQ130084267 ScholiaQ130084267MaRDI QIDQ1661068

Yan Huang

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018099

zbMATH Keywords

Hausdorff dimensionmoduli spacetranslation surfaces

Mathematics Subject Classification ID

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

Related Items (1)

On dichotomy for Hausdorff dimension of the set of nonergodic directions

Cites Work

• Unnamed Item
• Dichotomy for the Hausdorff dimension of the set of nonergodic directions
• The Hausdorff dimension of non-uniquely ergodic directions in \(H(2)\) is almost everywhere \(1/2\)
• Ergodicity of billiard flows and quadratic differentials
• Hausdorff dimension of sets of nonergodic measured foliations
• Billiards in rectangles with barriers
• Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)
• Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two
• From rational billiards to dynamics on moduli spaces
• Minimal non-ergodic directions on genus-2 translation surfaces

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