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arXiv · 1108.1280

Syndetic proximality and scrambled sets

T. K. Subrahmonian Moothathu·Piotr Oprocha
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Abstract

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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BibTeXRIS

T. K. Subrahmonian Moothathu, Piotr Oprocha. 2013-04-04. Syndetic proximality and scrambled sets. https://arxiv.org/abs/1108.1280

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