Smooth Markov partitions and toral automorphisms

DOI10.1017/S0143385700006404zbMath0754.58028MaRDI QIDQ4007817

Elise E. Cawley

Publication date: 27 September 1992

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

zbMATH Keywords

mappingMarkov partitiontoral automorphisms

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (10)

Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations ⋮ On the Hausdorff dimension of the recurrent sets induced from endomorphisms of free groups ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ Some statistical properties of almost Anosov diffeomorphisms ⋮ Symbolic dynamics and Markov partitions ⋮ Reduction theory over quadratic imaginary fields ⋮ How does a choice of Markov partition affect the resultant symbolic dynamics? ⋮ Numeration systems and Markov partitions from self similar tilings ⋮ Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts ⋮ Un codage sofique des automorphismes hyperboliques du tore

Cites Work

• Unnamed Item
• On a problem of Alexandroff concerning the dimension of product spaces. I, II
• Topological invariance of intersection homology without sheaves
• Markov partitions and \(C\)-diffeomorphisms
• Deformation of homeomorphisms on stratified sets
• Markov Partitions are not Smooth
• Markov cell structures near a hyperbolic set
• Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen

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