Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms
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Publication:1972777
DOI10.1023/A:1022836500100zbMath0949.37023arXivmath/9810085MaRDI QIDQ1972777
Nikita Sidorov, Anatoly M. Vershik
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9810085
Measure-preserving transformations (28D05) Flows on surfaces (37E35) General binary quadratic forms (11E16)
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Representations of toral automorphisms ⋮ Dynamical directions in numeration ⋮ The baker’s map with a convex hole ⋮ A survey of algebraic actions of the discrete Heisenberg group ⋮ Self-duality and codings for expansive automorphisms ⋮ Solvable and algebraic systems on infinite ladder ⋮ A special ergodic theorem for Anosov diffeomorphisms on the 2-torus ⋮ The beta-transformation's companion map for Pisot or Salem numbers and their periodic orbits ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Symbolic Representations and ${\mathbb T}^n$ Automorphisms ⋮ TWO GROUPS ASSOCIATED WITH QUADRATIC PISOT UNITS ⋮ Open maps: small and large holes with unusual properties ⋮ Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems ⋮ Symbolic representations of nonexpansive group automorphisms
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