Conjugacy of transitive SFTs minus periodic points
Dynamical Systems
2023-09-25 v3
Abstract
It is a question of Hochman whether any two one-dimensional topologically mixing subshifts of finite type (SFTs) with the same entropy are topologically conjugate when their periodic points are removed. We give a negative answer, in fact we prove the stronger result that there is a canonical correspondence between topological conjugacies of transitive SFTs and topological conjugacies between the systems obtained by removing the periodic points.
Cite
@article{arxiv.2104.09860,
title = {Conjugacy of transitive SFTs minus periodic points},
author = {Ville Salo},
journal= {arXiv preprint arXiv:2104.09860},
year = {2023}
}
Comments
10 pages; v3 adds an introduction, and is accepted in PLMS