Syndetic proximality and scrambled sets
classification
🧮 math.DS
keywords
mapsscrambledsetssyndeticallyanosovclassescompactconsider
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This paper is a systematic study about the syndetically proximal relation and the possible existence of syndetically scrambled sets for the dynamics of continuous self-maps of compact metric spaces. Especially we consider various classes of transitive subshifts, interval maps, and topologically Anosov maps. We also present many constructions and examples.
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