Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

DOI10.1017/etds.2021.14zbMath1489.37037arXiv1909.07032OpenAlexW3155299194WikidataQ114118963 ScholiaQ114118963MaRDI QIDQ5021945

Svetlana Katok, Adam Abrams, Ilie Ugarcovici

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07032

zbMATH Keywords

entropyTeichmüller spaceFuchsian groupsboundary maps

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Topological entropy (37B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups ⋮ Continuous deformation of the Bowen-Series map associated to a cocompact triangle group ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ Flexibility of the pressure function ⋮ Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

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