Stable ergodicity and frame flows

DOI10.1023/A:1024057924334zbMath1027.37019OpenAlexW68894836MaRDI QIDQ1397921

Keith Burns, Mark Pollicott

Publication date: 6 August 2003

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

Full work available at URL: https://doi.org/10.1023/a:1024057924334

zbMATH Keywords

geodesic flowpartial hyperbolicitystable ergodicityframe flow

Mathematics Subject Classification ID

Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (14)

Ergodic properties of linear actions of \((2\times 2)\)-matrices ⋮ Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives ⋮ Equidistribution of holonomy in homology classes for Anosov flows ⋮ High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows ⋮ Bernoulli property of equilibrium states for certain partially hyperbolic diffeomorphisms ⋮ Pestov's identity on frame bundles and applications ⋮ On ergodic properties of time changes of partially hyperbolic homogeneous flows ⋮ Isometric extensions of Anosov flows via microlocal analysis ⋮ Equilibrium measures for certain isometric extensions of Anosov systems ⋮ Statistical limit theorems for suspension flows ⋮ Equilibrium measures for some partially hyperbolic systems ⋮ Spectral theory of the frame flow on hyperbolic 3-manifolds ⋮ High-energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows ⋮ On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms

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