Reversibility of Elementary Cellular Automata Under Fully Asynchronous Update
Identifieur interne : 000C09 ( Main/Exploration ); précédent : 000C08; suivant : 000C10Reversibility of Elementary Cellular Automata Under Fully Asynchronous Update
Auteurs : Biswanath Sethi [Inde] ; Nazim Fatès [France] ; Sukanta Das [Inde]Source :
Abstract
We investigate the dynamics of Elementary Cellular Automata (ECA) under fully asynchronous update with periodic boundary conditions. We tackle the reversibility issue, that is, we want to determine whether, starting from any initial condition, it is possible to go back to this initial condition with random updates. We present analytical tools that allow us to partition the ECA space into three classes: strongly irreversible, irreversible and recurrent.
Url:
DOI: 10.1007/978-3-319-06089-7_4
Affiliations:
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<front><div type="abstract" xml:lang="en">We investigate the dynamics of Elementary Cellular Automata (ECA) under fully asynchronous update with periodic boundary conditions. We tackle the reversibility issue, that is, we want to determine whether, starting from any initial condition, it is possible to go back to this initial condition with random updates. We present analytical tools that allow us to partition the ECA space into three classes: strongly irreversible, irreversible and recurrent.</div>
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