Symbolic Representations and ${\mathbb T}^n$ Automorphisms

DOI10.1142/S0218127403007849zbMath1069.37006MaRDI QIDQ4655500

Pedro Martins Rodrigues, José Sousa Ramos

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

symbolic representationshomoclinic grouptorus automorphismsarithmetical codingsbijective arithmetic codings

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (1)

Block conjugacy of irreducible toral automorphisms

Cites Work

• Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
• Bijective and general arithmetic codings for Pisot toral automorphisms
• Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms
• An arithmetic group associated with a Pisot unit, and its symbolic-dynamical representation
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
• Numeration systems and Markov partitions from self similar tilings

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