Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations
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Publication:2153354
DOI10.3934/jmd.2021017zbMath1501.37002arXiv1906.01104OpenAlexW3023566392MaRDI QIDQ2153354
Publication date: 4 July 2022
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01104
self-similarMarkov partitionaperiodic tilingSturmianRauzy inductionpolyhedron exchange transformationself-induced
Dynamical aspects of measure-preserving transformations (37A05) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Tiling dynamics (37B52) Multidimensional shifts of finite type (37B51)
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Cites Work
- Substitutions in dynamics, arithmetics and combinatorics
- Multidimensional generalized automatic sequences and shape-symmetric morphic words
- Substitution dynamical systems. Spectral analysis
- A characterization of the entropies of multidimensional shifts of finite type
- Bounded topological orbit equivalence and \(C^*\)-algebras
- Gauss measures for transformations on the space of interval exchange maps
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions
- Reversing and extended symmetries of shift spaces
- Renormalization of polygon exchange maps arising from corner percolation
- Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets
- A self-similar aperiodic set of 19 Wang tiles
- Geometry, dynamics, and arithmetic of $S$-adic shifts
- Markov partitions and \(C\)-diffeomorphisms
- Weak mixing for interval exchange transformations and translation flows
- Substitutive structure of Jeandel-Rao aperiodic tilings
- Generating Discrete Planes with Substitutions
- Échanges d'intervalles et transformations induites
- Markov Partitions are not Smooth
- Arithmetic Discrete Planes Are Quasicrystals
- Nombres algébriques et substitutions
- Smooth Markov partitions and toral automorphisms
- Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
- Symbolic dynamics and Markov partitions
- A family of minimal and renormalizable rectangle exchange maps
- S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry
- An aperiodic set of 11 Wang tiles
- Beyond substitutive dynamical systems: S-adic expansions
- On the Pisot Substitution Conjecture
- Multidimensional shifts of finite type and sofic shifts
- Similarity of automorphisms of the torus
- The undecidability of the domino problem
- Markov Partitions for Axiom A Diffeomorphisms
- Sequences with minimal block growth
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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