Geometry of the common dynamics of flipped Pisot substitutions

Bernd Sing, V Sirvent

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this article we study the common dynamics of two different Pisot substitutions sigma(1) and sigma(2) having the same incidence matrix. This common dynamics arises in the study of the adic systems associated with the substitutions sigma(1) and sigma(2). Since the adic systems considered here have geometric realizations given by solutions to graph-directed iterated function systems, we actually study topological and measure-theoretic properties of the solution of those iterated function systems which describe the common dynamics.
Original languageEnglish
Pages (from-to)431-448
Number of pages18
JournalMonatshefte für Mathematik
Volume155
Issue number3-4
DOIs
Publication statusPublished - 2008

Keywords

  • Model sets
  • Adic systems
  • Finite automata
  • Substitutions
  • Rauzy fractals

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