Topological rigidity of cellular automaton shifts

Journal article (2018)

Authors

R.J. Fokkink Applied Probability - EEMCS
Research Group
Applied Probability (EEMCS) (TU Delft)
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Published Date

2018

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

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.