A family of minimal and renormalizable rectangle exchange maps

DOI10.1017/etds.2019.77zbMath1493.37049arXiv1803.06369OpenAlexW3101691852WikidataQ114119479 ScholiaQ114119479MaRDI QIDQ5019556

Ian Alevy, Ren Yi, Richard W. Kenyon

Publication date: 10 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06369

zbMATH Keywords

symbolic dynamicstilingslow-dimensional dynamics

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Universality and renormalization of dynamical systems (37E20) Tiling dynamics (37B52)

Related Items (2)

Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations ⋮ Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets

Cites Work

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• Dynamics of non-ergodic piecewise affine maps of the torus
• Piecewise isometries have zero topological entropy
• Entropy in Dimension One
• Échanges d'intervalles et transformations induites
• Some Monoids of Pisot Matrices
• The entropies of topological Markov shifts and a related class of algebraic integers
• Nombres algébriques et substitutions
• Recursive tiling and geometry of piecewise rotations by  /7
• Pisot substitutions and Rauzy fractals

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