Syndetic proximality and scrambled sets

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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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