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On disjointness and $\mathscr{F}$-product recurrence with respect to zero entropy systems
This paper studies disjointness and \(\mathscr{F}\)-product recurrence with respect to zero-entropy systems. First, we prove that, for a point whose orbit closure has zero topological entropy, \[ \text{distality}\rightleftharpoons \Finf\PRzero\rightleftharpoons \Fpubd\PRzero \rightleftharpoons \Fps\
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