Markov Cell Structures for Expanding Maps in Dimension Two

DOI10.2307/1998178zbMath0456.58020OpenAlexW4240652251MaRDI QIDQ3906153

Lowell Jones, Francis Thomas Farrell

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998178

zbMATH Keywords

branched 2-manifoldexpanding immersions of 2- manifoldsMarkov cell structure

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (2)

𝐻-cobordisms with foliated control ⋮ Algebraic 𝐾-theory of hyperbolic manifolds

Cites Work

• New attractors in hyperbolic dynamics
• Markov Partitions are not Smooth
• Markov cell structures
• Construction of invariant sets for Anosov diffeomorphisms and hyperbolic attractors
• Invariant Sets of Hyperbolic Toral Automorphisms
• ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
• Endomorphisms of Compact Differentiable Manifolds
• Markov Partitions for Axiom A Diffeomorphisms
• Expanding attractors
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