Subshifts with sparse traces

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dc.contributor.authorVille Salo
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id50343155
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/50343155
dc.date.accessioned2022-10-28T12:40:08Z
dc.date.available2022-10-28T12:40:08Z
dc.description.abstractWe 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.
dc.format.pagerange159
dc.format.pagerange207
dc.identifier.eissn1730-6337
dc.identifier.jour-issn0039-3223
dc.identifier.olddbid178094
dc.identifier.oldhandle10024/161188
dc.identifier.urihttps://www.utupub.fi/handle/11111/50102
dc.identifier.urnURN:NBN:fi-fe2021042825739
dc.language.isoen
dc.okm.affiliatedauthorSalo, Ville
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherPOLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
dc.publisher.countryPolanden_GB
dc.publisher.countryPuolafi_FI
dc.publisher.country-codePL
dc.relation.doi10.4064/sm190212-18-10
dc.relation.ispartofjournalStudia Mathematica
dc.relation.issue2
dc.relation.volume255
dc.source.identifierhttps://www.utupub.fi/handle/10024/161188
dc.titleSubshifts with sparse traces
dc.year.issued2020

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