Localization of mixing property via Furstenberg families

Abstract

This paper is devoted to studying the localization of mixing property via Furstenberg families. It is shown that there exists some ${\mathcal{F}}_{pubd}$-mixing set in every dynamical system with positive entropy, and some ${\mathcal{F}}_{ps}$-mixing set in every non-PI minimal system.

16 pages

Cited by in corpus (3)

• Recent development of chaos theory in topological dynamics
• Positive topological entropy and $\Delta$-weakly mixing sets
• $\Delta$-weakly mixing subsets along a collection of sequences of integers