Power Weakly Mixing Infinite Transformations
  We construct a rank one infinite measure preserving transformation $T$ such that for all sequences of nonzero integers $\{k_{1},..., k_{r}\}$, $T^{k_{1}}\times...\times T^{k_{r}}$ is ergodic. 
Sarah L. Day, Brian R. Grivna, Earle P. McCartney, Cesar E. Silva   (Williams College)