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Sofic Trace of a Cellular Automaton

Julien Cervelle·Enrico Formenti·Pierre Guillon
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Abstract

The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram, ie the infinite sequence of states of a particular cell of a configuration; in the language of symbolic dynamics one says that it is a factor system. In this paper we study conditions for a sofic subshift to be the trace of a cellular automaton.

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Julien Cervelle, Enrico Formenti, Pierre Guillon. 2007-03-08. Sofic Trace of a Cellular Automaton. https://arxiv.org/abs/math/0703241

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