Unique ergodicity of some flows related to axiom A diffeomorphisms

DOI10.1007/BF02760790zbMath0314.58012OpenAlexW1990096943WikidataQ114693418 ScholiaQ114693418MaRDI QIDQ1220755

Brian Marcus

Publication date: 1975

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760790

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Foliations in differential topology; geometric theory (57R30) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (7)

Logarithmic bounds for ergodic sums of certain flows on the torus: a short proof ⋮ The ergodic theory of discrete isometry groups on manifolds of variable negative curvature ⋮ Invariant distributions and time averages for horocycle flows ⋮ Unique ergodicity of the horocycle flow: variable negative curvature case ⋮ Unique ergodicity for horocycle foliations ⋮ Precise counting results for closed orbits of Anosov flows ⋮ Horocycle flows are loosely Bernoulli

Cites Work

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• Reparametrizations of uniquely ergodic flows
• Currents, flows and diffeomorphisms
• One-dimensional non-wandering sets
• Markov partitions and \(C\)-diffeomorphisms
• Strict Ergodicity and Transformation of the Torus
• Differentiable dynamical systems
• On Codimension One Anosov Diffeomorphisms
• Markov Partitions for Axiom A Diffeomorphisms
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Markov Partitions and Minimal Sets for Axiom A Diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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