Local non-periodic order and diam-mean equicontinuity on cellular automata
نویسندگان
چکیده
Diam-mean equicontinuity is a dynamical property that has been of use in the study non-periodic order. Using some type "local" skew product between shift and an odometer looking cellular automaton (CA), we will show there exists almost diam-mean equicontinuous CA not equicontinuous, (and hence locally periodic). As application Kurka's dichotomy does hold for versions sensitivity equicontinuity.
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ژورنال
عنوان ژورنال: Dynamical Systems-an International Journal
سال: 2022
ISSN: ['1468-9375', '1468-9367']
DOI: https://doi.org/10.1080/14689367.2022.2106823