Orbits of Paths Under Hyperbolic Toral Automorphisms

DOI10.2307/2042895zbMath0368.58009OpenAlexW4249286035MaRDI QIDQ4144478

Ricardo Mañé

Publication date: 1979

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042895

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (8)

Hölder continuous paths and hyperbolic toral automorphisms ⋮ Ensembles invariants des flots géodésiques des variétés localement symétriques ⋮ Exceptional sets for nonuniformly hyperbolic diffeomorphisms ⋮ Sur une notion d'autonomie de systèmes dynamiques, appliquée aux ensembles invariants des flots d' Anosov algébriques ⋮ Some compact invariant sets for hyperbolic linear automorphisms of torii ⋮ On orbits of endomorphisms of tori and the Schmidt game ⋮ The orbit of a Hölder continuous path under a hyperbolic toral automorphism ⋮ Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems

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