A class of cubic Rauzy fractals
From MaRDI portal
Publication:2348265
DOI10.1016/j.tcs.2015.04.007zbMath1332.28012arXiv1408.1673OpenAlexW2139090648MaRDI QIDQ2348265
Publication date: 11 June 2015
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1673
Formal languages and automata (68Q45) Fractals (28A80) Radix representation; digital problems (11A63)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\)
- Substitutions in dynamics, arithmetics and combinatorics
- On Rauzy fractal
- Unimodular Pisot substitutions and their associated tiles
- Recurrent sets
- Arithmetic and dynamical properties of the Rauzy fractal
- On the boundary of self-affine tilings generated by Pisot numbers
- 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
- Combinatorial and geometrical properties of a class of tilings
- Geometric representation of substitutions of Pisot type
- Topological properties of Rauzy fractals
- Finite beta-expansions
- 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
- Representations of numbers and finite automata
- Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
- Geometric realizations of substitutions
- Numeration systems and Markov partitions from self similar tilings
- 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
This page was built for publication: A class of cubic Rauzy fractals