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\end{definition}
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\begin{definition}[Recurrence]
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\label{definition:tds-recurrence}
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Let $G$ be an infinite group, $G \curvearrowright X$ be a $G$-flow, and $x \in X$, then $x$ is \textbf{recurrent} if for every $U \in \cn_X(x)$, $N(x, U)$ is infinite.
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