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Localization of mixing property via Furstenberg families

arXiv:1409.8452 · doi:10.3934/dcds.2015.35.725

Abstract

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

16 pages