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Journal Articles Journal of Cellular Automata Year : 2019

The Generic Limit Set of Cellular Automata

Pierre Guillon
Saliha Djenaoui
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Abstract

In topological dynamics, the generic limit set is the smallest closed subset which has a comeager realm of attraction. We study some of its topological properties, and the links with equicontinuity and sensitivity. We emphasize the case of cellular automata, for which the generic limit set is included in all subshift attractors, and discuss directional dynamics, as well as the link with measure-theoretical similar notions.
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Dates and versions

hal-03101960 , version 1 (07-01-2021)

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  • HAL Id : hal-03101960 , version 1

Cite

Pierre Guillon, Saliha Djenaoui. The Generic Limit Set of Cellular Automata. Journal of Cellular Automata, 2019, 14, pp.435-477. ⟨hal-03101960⟩
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