Substitutive number systems

Combinatorics on words (68R15) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

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The geometry of non-unit Pisot substitutions
Boundary parametrization of self-affine tiles
Boundary parametrization of planar self-affine tiles with collinear digit set
Multiple tilings associated to $d$-Bonacci beta-expansions
Substitutions and $\beta$ systems of numeration
Geometry of the common dynamics of flipped Pisot substitutions
Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
On the boundary of self-affine tilings generated by Pisot numbers
Prefix-suffix automaton associated with a primitive substitution
Substitutions, coding prescriptions and integer representation
$\beta$-expansions and symbolic dynamics
A certain finiteness property of Pisot number systems
The common dynamics of the Tribonacci substitutions
Geometrical models for a class of reducible Pisot substitutions
Dynamical directions in numeration
Fractal representation of the attractive lamination of an automorphism of the free group.
Unzerlegbare, nicht negative Matrizen
Coding of substitution dynamical systems as shifts of finite type
Common dynamics of two Pisot substitutions with the same incidence matrix
Topological properties of Rauzy fractals
Finite beta-expansions
Representations for real numbers and their ergodic properties
On theβ-expansions of real numbers
Hausdorff Dimension in Graph Directed Constructions
Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
On Periodic Expansions of Pisot Numbers and Salem Numbers
Numeration systems and Markov partitions from self similar tilings
Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions
An Introduction to Symbolic Dynamics and Coding
Shift Radix Systems - A Survey
BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES
Three-dimensional symmetric shift radix systems
Beta-expansions, natural extensions and multiple tilings associated with Pisot units
Number representation and finite automata
Topological properties of a class of cubic Rauzy fractals

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