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Subshifts with sparse traces
Tekijät: Ville Salo
Kustantaja: POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
Julkaisuvuosi: 2020
Journal: Studia Mathematica
Tietokannassa oleva lehden nimi: STUDIA MATHEMATICA
Lehden akronyymi: STUD MATH
Vuosikerta: 255
Numero: 2
Aloitussivu: 159
Lopetussivu: 207
Sivujen määrä: 49
ISSN: 0039-3223
eISSN: 1730-6337
DOI: https://doi.org/10.4064/sm190212-18-10
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/50343155
Tiivistelmä
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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