Special Session 28: 

A criterion for almost periodicity of substitutive systems

Shigeki Akiyama
Institute of Mathematics, University of Tsukuba
Japan
Co-Author(s):    Paul Mercat
Abstract:
To show the pure discrete spectrum of a given substitutive dynamics, several coincidence conditions are studied by Ito-Rao and Barge-Kwapisz. In this talk, we give a new formulation of such coincidence conditions for irreducible Pisot substitution, which gives an easy access to the Pisot substitution conjecture. We give several applications of this condition. This is a joint work with Paul Mercat.