Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6876170 | Theoretical Computer Science | 2014 | 11 Pages |
Abstract
Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can associate a compact set (Rauzy fractal) by projection of the stepped line associated with an element of the symbolic system on the contracting space of the matrix. We show that this Rauzy fractal depends continuously on the sequence of substitutions, and investigate some of its properties; in some cases, this construction gives a geometric model for the symbolic dynamical system.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Pierre Arnoux, Masahiro Mizutani, Tarek Sellami,