Geometry of the common dynamics of flipped Pisot substitutions |
| |
Authors: | B Sing V F Sirvent |
| |
Affiliation: | 1.Department of Mathematical Sciences,University of Bath,Bath,UK;2.Departamento de Matematicas,Universidad Simón Bolívar,Caracas,Venezuela |
| |
Abstract: | In this article we study the common dynamics of two different Pisot substitutions σ 1 and σ 2 having the same incidence matrix. This common dynamics arises in the study of the adic systems associated with the substitutions σ 1 and σ 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. We also consider generalizations of these results to the nonunimodular case, the case of more than two substitutions and the case of two substitutions with different incidence matrices. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|