On a class of Rauzy fractals without the finiteness property

zbMath1462.11026arXiv1611.08019MaRDI QIDQ2272804

Gustavo A. Pavani

Publication date: 20 September 2019

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08019

Mathematics Subject Classification ID

Fractals (28A80) Symbolic dynamics (37B10) Automata sequences (11B85) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

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• On Rauzy fractal
• Unimodular Pisot substitutions and their associated tiles
• Arithmetic and dynamical properties of the Rauzy fractal
• Connectedness of geometric representation of substitutions of Pisot type
• Combinatorial, ergodic and arithmetic properties of the Tribonacci substitution
• Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions
• Self-affine tiling via substitution dynamical systems and Rauzy fractals.
• Tilings induced by a class of cubic Rauzy fractals
• A class of cubic Rauzy fractals
• Purely periodic \(\beta \)-expansions in the Pisot non-unit case
• Geometric representation of substitutions of Pisot type
• Topological properties of Rauzy fractals
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Best simultaneous diophantine approximations of Pisot numbers and Rauzy fractals
• Nombres algébriques et substitutions
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Représentation géométrique de suites de complexité $2n+1$
• Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
• Geometric realizations of substitutions
• Numeration systems and Markov partitions from self similar tilings
• There are Only Eleven Special Pisot Numbers
• Asymmetric Tent Map Expansions. I. Eventually Periodic Points
• Frontière du fractal de Rauzy et système de numération complexe
• Propriétés arithmétiques et topologiques d'une classe d'ensembles fractales
• Higher dimensional extensions of substitutions and their dual maps
• Pisot substitutions and Rauzy fractals
• Topological properties of a class of cubic Rauzy fractals

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