abstract

• We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automaton on a full shift (hence a transitive subshift) that is neither almost mean equicontinuous nor mean sensitive. © 2020 The Author(s). Published by Cambridge University Press.

authors

• García Ramos Aguilar Felipe

publication date

• 2021-01-01

published in

• Ergodic Theory and Dynamical Systems  Journal

keywords

• almost equicontinuity; almost mean equicontinuity; cellular automata; mean equicontinuity; mean sensitivity

Digital Object Identifier (DOI)

• 10.1017/etds.2020.108

PubMed ID

start page

• 3704

end page

• 3721

volume

• 41

issue

• 12