Some compact invariant sets for hyperbolic linear automorphisms of torii

DOI10.1017/S0143385700004417zbMath0658.58028OpenAlexW2017934098MaRDI QIDQ3806404

Albert Fathi

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700004417

zbMATH Keywords

capacitypseudo-Anosov diffeomorphismstable and unstable foliations

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Dynamical systems with hyperbolic behavior (37D99)

Related Items (11)

Topological entropy, upper Carath ⋮ L-cut splitting of translation surfaces and non-embedding of pseudo-Anosovs (in genus two) ⋮ A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures ⋮ Lyapunov's direct method in estimates of topological entropy ⋮ Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore ⋮ A group of paths in ℝ² ⋮ Geometrical Models for Substitutions ⋮ Geometric realization for substitution tilings ⋮ Invariants of translation surfaces ⋮ The Arnoux semi-conjugacy is Hölder continuous ⋮ Expansiveness, hyperbolicity and Hausdorff dimension

Cites Work

• Invariant sets of Anosov's diffeomorphisms
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Markov Partitions are not Smooth
• Orbits of Paths Under Hyperbolic Toral Automorphisms
• Invariant Sets of Hyperbolic Toral Automorphisms
• Construction of Invariant Sets for Anosov Diffeomorphisms

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