Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension

DOI10.4171/JEMS/1037zbMath1475.37038arXiv1711.10542OpenAlexW3119353564MaRDI QIDQ2031674

Paul Apisa, Alena Erchenko, Shahriar Mirzadeh, Osama Khalil, Caglar Uyanik, Hamid Al-Saqban

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10542

zbMATH Keywords

flat surfacesHausdorff dimensionergodic theoremsdivergent trajectories

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dimension theory of smooth dynamical systems (37C45) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Related Items (5)

Divergent on average directions of Teichmüller geodesic flow ⋮ Escape of entropy for countable Markov shifts ⋮ On the dimension drop conjecture for diagonal flows on the space of lattices ⋮ Quantitative weak mixing for interval exchange transformations ⋮ Bounded and divergent trajectories and expanding curves on homogeneous spaces

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