Limit dynamics of elementary cellular automaton 18

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dc.contributor.authorSabrié, Emilie
dc.contributor.authorTörmÀ, Ilkka Aleksi
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id523240816
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/523240816
dc.date.accessioned2026-05-08T20:10:27Z
dc.description.abstract<p>We study the the asymptotic dynamics of elementary cellular automaton 18 through its limit set, generic limit set and đœ‡-limit set. The dynamics of rule 18 are characterized by persistent local patterns known as kinks. We characterize the configurations of the generic limit set containing at most two kinks. As a corollary, we show that the three limit sets of rule 18 are distinct.</p>
dc.identifier.eissn1469-4417
dc.identifier.jour-issn0143-3857
dc.identifier.urihttps://www.utupub.fi/handle/11111/60484
dc.identifier.urlhttps://doi.org/10.1017/etds.2026.10300
dc.identifier.urnURN:NBN:fi-fe2026050841736
dc.language.isoen
dc.okm.affiliatedauthorTörmÀ, Ilkka
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherCambridge University Press (CUP)
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.doi10.1017/etds.2026.10300
dc.relation.ispartofjournalErgodic Theory and Dynamical Systems
dc.titleLimit dynamics of elementary cellular automaton 18
dc.year.issued2026

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