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 language | English |
|---|---|
| Pages (from-to) | 431-448 |
| Number of pages | 18 |
| Journal | Monatshefte für Mathematik |
| Volume | 155 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2008 |
Keywords
- Model sets
- Adic systems
- Finite automata
- Substitutions
- Rauzy fractals