Publications [#345588] of Kirsten G. Wickelgren

Papers Published

1. Iams, S; Katz, B; Silva, CE; Street, B; Wickelgren, K, On weakly mixing and doubly ergodic nonsingular actions, Colloquium Mathematicum, vol. 103 no. 2 (January, 2005), pp. 247-264 [doi]
   (last updated on 2024/04/25)

   Abstract:
   We study weak mixing and double ergodicity for nonsingular actions of locally compact Polish abelian groups. We show that if T is a nonsingular action of G, then T is weakly mixing if and only if for all cocompact subgroups A of G the action of T restricted to A is weakly mixing. We show that a doubly ergodic nonsingular action is weakly mixing and construct an infinite measure-preserving flow that is weakly mixing but not doubly ergodic. We also construct an infinite measure-preserving flow whose cartesian square is ergodic.