Block maps between primitive uniform and Pisot substitutions

Author:

SALO VILLEORCID,TÖRMÄ ILKKA

Abstract

In this article, we prove that for all pairs of primitive Pisot or uniform substitutions with the same dominating eigenvalue, there exists a finite set of block maps such that every block map between the corresponding subshifts is an element of this set, up to a shift.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. Decidability of periodicity for infinite words

2. Endomorphisms of sturmian systems and the discrete chair substitution tiling system;Olli;Dyn. Sys.,2013

3. On the periodicity of morphisms on free monoids

4. Topological orbit equivalence and C∗ -crossed products;Giordano;J. Reine Angew. Math.,1995

5. Linearly recurrent subshifts have a finite number of non-periodic subshift factors

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