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almost equicontinuity

Ergodic Theory and Dynamical Systems (1)

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1 results

Mean equicontinuity and mean sensitivity on cellular automata
Part of
- Topological dynamics
LUGUIS DE LOS SANTOS BAÑOS, FELIPE GARCÍA-RAMOS
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 12 / December 2021

Published online by Cambridge University Press:

03 November 2020, pp. 3704-3721

Print publication:

December 2021
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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.