Sofic Trace of a Cellular Automaton

Details Sofic Trace of a Cellular Automaton Sofic Trace of a Cellular Automaton

2007-03-08

arxiv.org/abs/math/0703241v1

Mathematics

Dynamical Systems

10 pages + 6 for included proofs

Scientific paper

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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