Unique ergodicity for non-uniqueli ergodic horocycle flows

DOI10.3934/dcds.2006.16.411zbMath1108.37026OpenAlexW2017490583MaRDI QIDQ862111

Omri M. Sarig, François Ledrappier

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.411

zbMATH Keywords

hyperbolic surfaces of infinite volumeinfinite measuresinvariant Radon measures

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40) Homogeneous flows (37A17)

Related Items (12)

Pseudo-Anosov foliations on periodic surfaces ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ A report on an ergodic dichotomy ⋮ Potential kernel, hitting probabilities and distributional asymptotics ⋮ Horocycle Flows on Surfaces with Infinite Genus ⋮ The visits to zero of a random walk driven by an irrational rotation ⋮ Exponential chi-squared distributions in infinite ergodic theory ⋮ Law of large numbers for certain cylinder flows ⋮ Slow chaos in surface flows ⋮ Joining measures for horocycle flows on abelian covers ⋮ Invariant measures for the horocycle flow on periodic hyperbolic surfaces ⋮ Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps

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