Limit dynamics of elementary cellular automaton 18;
: Sabrié, Emilie; Törmä, Ilkka Aleksi
Publisher: Cambridge University Press (CUP)
: 2026
Ergodic Theory and Dynamical Systems
: 0143-3857
: 1469-4417
DOI: https://doi.org/10.1017/etds.2026.10300
: https://doi.org/10.1017/etds.2026.10300
: https://research.utu.fi/converis/portal/detail/Publication/523240816
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.
cellular automata, generic limit sets, limit dynamics, limit sets, rule 18
:
I.A.T. was supported by the Academy of Finland under grant 346566.
