On dichotomy for Hausdorff dimension of the set of nonergodic directions

DOI10.1007/s10711-021-00597-zzbMath1475.37013OpenAlexW3123872746MaRDI QIDQ2039290

Yan Huang

Publication date: 2 July 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-021-00597-z

zbMATH Keywords

ergodicityHausdorff dimensionDiophantinetranslation surface

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Hausdorff and packing measures (28A78) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Dichotomy for the Hausdorff dimension of the set of nonergodic directions
• Ergodicity of billiard flows and quadratic differentials
• Hausdorff dimension of sets of nonergodic measured foliations
• Hausdorff dimension of the set of nonergodic foliations of a quadratic differential
• Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)
• On Hausdorff dimension of the set of non-ergodic directions of two-genus double cover of tori
• Slowly divergent geodesics in moduli space

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