Pointwise recurrent one-dimensional flows

Author: Hattab Hawete  

Publisher: Taylor & Francis Ltd

ISSN: 1468-9375

Source: Dynamical Systems: An International Journal, Vol.26, Iss.1, 2011-03, pp. : 77-83

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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.