Conjugacy of transitive SFTs minus periodic points

Ville Salo

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arXiv · 2104.09860

Conjugacy of transitive SFTs minus periodic points

Ville Salo

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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.

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Ville Salo. 2021-04-20. Conjugacy of transitive SFTs minus periodic points. https://arxiv.org/abs/2104.09860

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