Localization of mixing property via Furstenberg families
  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. 
Jian Li
math.DS