Entropy rigidity for 3D conservative Anosov flows and dispersing billiards

DOI10.1007/s00039-020-00547-zzbMath1456.37032arXiv2003.09345OpenAlexW3094916562MaRDI QIDQ2216465

Kurt Vinhage, Jacopo De Simoi, Yun Yang, Martin Leguil

Publication date: 16 December 2020

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09345

zbMATH Keywords

Birkhoff normal formAnosov flowmaximal entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Rigidity results (53C24) General geometric structures on low-dimensional manifolds (57M50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical systems with singularities (billiards, etc.) (37C83)

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Marked length spectral determination of analytic chaotic billiards with axial symmetries, Anatole Katok, Carnot metrics, dynamics and local rigidity

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