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arXiv:1409.8452 [math.DS]AbstractReferencesReviewsResources

Localization of mixing property via Furstenberg families

Jian Li

Published 2014-09-30Version 1

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.

Comments: 16 pages
Journal: Discrete and Continuous Dynamical System 35 (2015), no. 2, 725-740
Categories: math.DS
Subjects: 54H20, 37B05, 37B40
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