Abstract
Let (G, X) be a flow, where X is a graph and G is a finitely generated group. In this article, it is shown that (G, X) is a pointwise recurrent flow if and only if one of the following two statements holds:
(1) X =
1
, and (G,
1
) is a minimal flow conjugate to an isometric flow, or to a finite cover of a proximal flow;
(2) G is finite.