Chain transitivity and variations of the shadowing property

We show that, under the assumption of chain transitivity, the shadowing property is equivalent to the thick shadowing property. We also show that, if ${\mathcal{F}}$ is a family with the Ramsey property, then an arbitrary sequence of points in a chain transitive space can be ${\it\varepsilon}$-shado...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2015-10, Vol.35 (7), p.2044-2052
Hauptverfasser:	BRIAN, WILLIAM R., MEDDAUGH, JONATHAN, RAINES, BRIAN E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Chains Dynamical systems Equivalence Ergodic processes Mathematics Studies
Online-Zugang:	Volltext
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