# Local non-periodic order and diam-mean equicontinuity on cellular automata

@inproceedings{Banos2021LocalNO, title={Local non-periodic order and diam-mean equicontinuity on cellular automata}, author={Luguis de los Santos Banos and Felipe Garc'ia-Ramos}, year={2021} }

Diam-mean equicontinuity is a dynamical property that has been of use in the study of non-periodic order. Using some type of “local” skew product between a shift and an odometer looking cellular automaton (CA) we will show there exists an almost diam-mean equicontinuous CA that is not almost equicontinuous, and hence not almost locally periodic.

#### One Citation

Diameter mean equicontinuity and cellular automata

- Physics
- 2021

Mean and diam-mean equicontinuity are dynamical properties that have been of use in the study of non-periodic order. We show that the Pacman automaton is not almost diam-mean equicontinuous (it is… Expand

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