Block Maps between Primitive Uniform and Pisot Substitutions
Dynamical Systems
2014-08-13 v4 Formal Languages and Automata Theory
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.
Cite
@article{arxiv.1306.3777,
title = {Block Maps between Primitive Uniform and Pisot Substitutions},
author = {Ville Salo and Ilkka Törmä},
journal= {arXiv preprint arXiv:1306.3777},
year = {2014}
}
Comments
21 pages. Minor corrections to grammar and some proofs. To appear in Ergodic Theory and Dynamical Systems after editorial input by Cambridge University Press. Copyright held by Cambridge University Press