Computation of L_⊕ for several cubic Pisot numbers

In this article, we are dealing with β-numeration, which is a generalization of numeration in a non-integer base. We consider the class of simple Parry numbers such that dβ(1) = 0.k1d-1 kd with d ∈ ℕ, d ≥ 2 and k1 ≥ kd ≥ 1. We prove that these elements define Rauzy fractals that are stable under a c...

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Bibliographic Details
Main Author: Julien Bernat
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2007-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/405/pdf