A1 Refereed original research article in a scientific journal
Subshifts with sparse traces
Authors: Ville Salo
Publisher: POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
Publication year: 2020
Journal: Studia Mathematica
Journal name in source: STUDIA MATHEMATICA
Journal acronym: STUD MATH
Volume: 255
Issue: 2
First page : 159
Last page: 207
Number of pages: 49
ISSN: 0039-3223
eISSN: 1730-6337
DOI: https://doi.org/10.4064/sm190212-18-10
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/50343155
Abstract
We study two-dimensional subshifts whose horizontal trace (also called projective subdynamics) contains only configurations of finite support. Our main result is a classification result for such subshifts satisfying a minimality property. As corollaries, we obtain new proofs for various known results on traces of SFTs, nilpotency, and decidability results for cellular automata and topological full groups. We also construct various (sofic) examples illustrating the concepts.
We study two-dimensional subshifts whose horizontal trace (also called projective subdynamics) contains only configurations of finite support. Our main result is a classification result for such subshifts satisfying a minimality property. As corollaries, we obtain new proofs for various known results on traces of SFTs, nilpotency, and decidability results for cellular automata and topological full groups. We also construct various (sofic) examples illustrating the concepts.
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