Topological rigidity of cellular automaton shifts

Journal article (2018)

Authors

Robbert Fokkink Applied Probability
Research Group
Applied Probability
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Published Date

2018

Language

English

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Research Group

Applied Probability

Abstract

We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic. Using this, we show that two distinct such shifts cannot be isomorphic. We conclude that the automorphism group of a linear cellular automaton shift is a finitely generated abelian group.

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