Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
From MaRDI portal
Publication:4236240
DOI10.1017/S0143385798100445zbMath0915.58077OpenAlexW2065229439MaRDI QIDQ4236240
Anatoly M. Vershik, Richard W. Kenyon
Publication date: 5 July 1999
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385798100445
Related Items
Representations of toral automorphisms, Dynamical directions in numeration, Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts, On the characterization of expansion maps for self-affine tilings, The topological structure of fractal tilings generated by quadratic number systems, Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations, A survey of algebraic actions of the discrete Heisenberg group, Self-duality and codings for expansive automorphisms, Solvable and algebraic systems on infinite ladder, Rational self-affine tiles, Decidability Problems for Self-induced Systems Generated by a Substitution, Scaling dynamics of a cubic interval-exchange transformation, Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\), The Pisot conjecture for -substitutions, Purely periodic \(\beta \)-expansions in the Pisot non-unit case, Symbolic dynamics and Markov partitions, Geometric representation of substitutions of Pisot type, Symbolic Representations and ${\mathbb T}^n$ Automorphisms, Atomic surfaces, tilings and coincidence. I: Irreducible case, A Markov partition that reflects the geometry of a hyperbolic toral automorphism, On a class of Rauzy fractals without the finiteness property, Algebraic numbers, free group automorphisms and substitutions on the plane, Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems, A combinatorial approach to products of Pisot substitutions, Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets, A class of cubic Rauzy fractals, Rigidity of multiparameter actions, Symbolic representations of nonexpansive group automorphisms, Un codage sofique des automorphismes hyperboliques du tore