Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\)
From MaRDI portal
Publication:661394
zbMath1268.11039arXiv0807.3321MaRDI QIDQ661394
Publication date: 10 February 2012
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.3321
Fractals (28A80) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automata sequences (11B85) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Best simultaneous Diophantine approximations of some cubic algebraic numbers
- Relationships between the dynamical systems associated to the Rauzy substitutions
- Substitutions in dynamics, arithmetics and combinatorics
- On Rauzy fractal
- Unimodular Pisot substitutions and their associated tiles
- Substitution dynamical systems - spectral analysis
- 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
- Combinatorial and geometrical properties of a class of tilings
- Geometric representation of substitutions of Pisot type
- Topological properties of Rauzy fractals
- Finite beta-expansions
- On theβ-expansions of real numbers
- Best simultaneous diophantine approximations of Pisot numbers and Rauzy fractals
- Nombres algébriques et substitutions
- 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
