The chaotic properties of increasing gap shifts

Nor Syahmina Kamarudin, Malouh Baloush, Syahida Che Dzul-Kifli

Research output: Contribution to journalArticle

Abstract

It is well known that locally everywhere onto, totally transitive, and topologically mixing are equivalent on shift of finite type. It turns out that this relation does not hold true on shift of infinite type. We introduce the increasing gap shift and determine its chaotic properties. The increasing gap shift and the sigma star shift serve as counterexamples to show the relation between the three chaos notions on shift of infinite type.

Original languageEnglish
Article number2936560
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2019
DOIs
Publication statusPublished - 1 Jan 2019

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Shift of Finite Type
Counterexample
Star
Chaos

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

The chaotic properties of increasing gap shifts. / Kamarudin, Nor Syahmina; Baloush, Malouh; Che Dzul-Kifli, Syahida.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 2019, 2936560, 01.01.2019.

Research output: Contribution to journalArticle

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