Symmetric intersections of Rauzy fractals

  • Tarek Sellami
  • Víctor F. Sirvent
Keywords: Rauzy fractals, substitution dynamical systems, balanced pair algorithm, symmetry groups, Pisot conjecture

Abstract

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is re ection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated with both substitutions.

Keywords: Rauzy fractals, substitution dynamical systems, balanced pair algorithm, symmetry groups, Pisot conjecture

Published
2016-08-10
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606