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arXiv:1108.1280 [math.DS]AbstractReferencesReviewsResources

Syndetic proximality and scrambled sets

T. K. Subrahmonian Moothathu, Piotr Oprocha

Published 2011-08-05, updated 2013-04-04Version 4

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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