| 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. |
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