Symbolic representations of nonexpansive group automorphisms
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Publication:814141
DOI10.1007/BF02772542zbMath1087.37010arXivmath/0409257OpenAlexW2012762108MaRDI QIDQ814141
Elon Lindenstrauss, Klaus Schmidt
Publication date: 6 February 2006
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409257
Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15) One-parameter continuous families of measure-preserving transformations (28D10)
Related Items (9)
Representations of toral automorphisms ⋮ Density of metric entropies for linear toral automorphisms ⋮ Solvable and algebraic systems on infinite ladder ⋮ The beta-transformation's companion map for Pisot or Salem numbers and their periodic orbits ⋮ Is every matrix similar to a polynomial in a companion matrix? ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Ergodic universality of some topological dynamical systems ⋮ Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions ⋮ Seventy years of Salem numbers
Cites Work
- Isomorphisms of \(\beta\)-automorphisms to Markov automorphisms
- Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
- Invariant sets and measures of nonexpansive group automorphisms
- \(\beta\)-expansions and symbolic dynamics
- Subshifts of finite type and sofic systems
- Bijective and general arithmetic codings for Pisot toral automorphisms
- Algebraic coding of expansive group automorphisms and two-sided beta-shifts
- 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
- Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
- On Periodic Expansions of Pisot Numbers and Salem Numbers
- Automorphisms of Compact Abelian Groups and Affine Varieties
- Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
- Homoclinic points of algebraic $\mathbb {Z}^d$-actions
- An Introduction to Symbolic Dynamics and Coding
- On the beta expansion for Salem numbers of degree 6
- Similarity of automorphisms of the torus
- Markov Partitions for Axiom A Diffeomorphisms
- \(\beta\)-shifts have unique maximal measure
- Dynamical systems of algebraic origin
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