A1 Refereed original research article in a scientific journal
Limit dynamics of elementary cellular automaton 18
Authors: Sabrié, Emilie; Törmä, Ilkka Aleksi
Publisher: Cambridge University Press (CUP)
Publication year: 2026
Journal: Ergodic Theory and Dynamical Systems
ISSN: 0143-3857
eISSN: 1469-4417
DOI: https://doi.org/10.1017/etds.2026.10300
Publication's open availability at the time of reporting: Open Access
Publication channel's open availability : Partially Open Access publication channel
Web address : https://doi.org/10.1017/etds.2026.10300
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/523240816
Self-archived copy's licence: CC BY
Self-archived copy's version: Publisher`s PDF
We study the the asymptotic dynamics of elementary cellular automaton 18 through its limit set, generic limit set and 𝜇-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.
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Funding information in the publication:
I.A.T. was supported by the Academy of Finland under grant 346566.
