Websystems and each serving as a universal minimal system. Each such minimal ideal, say M, has a subset Jof 2c idempotents such that fvM: v2Jgis a partition of M into disjoint isomorphic (non-closed) subgroups. An idempotent in is called min-imal if it belongs to some minimal ideal. A point xin a dynamical system (X;) is a minimal point i there is ... Web7 apr. 2024 · We show that the set of strictly temporally periodic points of cellular automata with almost equicontinuous points is dense in the topological support of the measure. This extends a result of Lena ...
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WebErgod. Th. & Dynam. Sys. (2024), 37, 2223–2254 doi:10.1017/etds.2016.5 c Cambridge University Press, 2016 When are all closed subsets recurrent? JIE LI†‡, PIOTR ... Web1 jun. 2009 · Abstract A space X is said to be almost totally disconnected if the set of its degenerate components is dense in X. We prove that an almost totally disconnected compact metric space admits a minimal map if and only if either it is a finite set or it has no isolated point. As a consequence we obtain a characterization of minimal sets on … preparing transformation execution failed
When are all closed subsets recurrent? - cambridge.org
Web7 jul. 2014 · DOI: 10.1007/978-3-0348-0903-0_5 Corpus ID: 26384948; Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets @article{Aujogue2014EquicontinuousFP, title={Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets}, author={Jean-baptiste Aujogue and Marcy Barge and … WebHere two systems are weakly disjoint when their product is transitive. Our main result says that for an almost equicontinuous system (X, f) with associated monothetic group Λ, … Web6 mrt. 2024 · In this work, we study minimal equicontinuous actions which are locally quasi-analytic. The first main result shows that for minimal equicontinuous actions which are locally quasi-analytic, continuous orbit equivalence of the actions implies return equivalence. This generalizes results of Cortez and Medynets, and of Li. The second … scott gray imdb