Rigid reparametrizations and cohomology for horocycle flows

DOI10.1007/BF01388912zbMath0697.58046MaRDI QIDQ911124

Marina Ratner

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143457

zbMATH Keywords

rigidityflowshorocycle flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (10)

Polynomial mixing for time-changes of unipotent flows ⋮ Ergodicity, mixing, Ratner's properties and disjointness for classical flows: on the research of Corinna Ulcigrai ⋮ On disjointness properties of some parabolic flows ⋮ Rigidity of joinings for time changes of unipotent flows on quotients of Lorentz groups ⋮ Polynomial 3-mixing for smooth time-changes of horocycle flows ⋮ Furstenberg disjointness, Ratner properties, and Sarnak's conjecture ⋮ Rigidity of a class of smooth singular flows on \(\mathbb{T}^2\) ⋮ Slow chaos in surface flows ⋮ Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows ⋮ Rigidity of joinings for some measure-preserving systems

Cites Work

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• Horocycle flows, joinings and rigidity of products
• Rigidity of time changes for horocycle flows
• An example of a measure preserving map with minimal self-joinings, and applications
• Rigidity of horocycle flows
• Factors of horocycle flows
• The rate of mixing for geodesic and horocycle flows
• Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Metric Classification of Ergodic Nilflows and Unipotent Affines
• Rigidity of some translations on homogeneous spaces

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