New York Journal of Mathematics
Volume 5 (1999) 17-24


Sarah L. Day, Brian R. Grivna, Earle P. McCartney, and Cesar E. Silva

Power Weakly Mixing Infinite Transformations

Published: March 10, 1999
Keywords: ergodic index, weak mixing, infinite measure transformation
Subject: 28D

We construct a rank one infinite measure preserving transformation T such that for all sequences of nonzero integers {k1,..., kr}, Tk1×...×Tkr is ergodic.

Author information

Sarah L. Day:
Emory University, Atlanta, GA 30332
Current Address: Department of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332

Brian R. Grivna:
St. Olaf College, Northfield, MN 55057

Earle P. McCartney:
Williams College, Williamstown, MA 01267

Cesar E. Silva:
Williams College, Williamstown, MA 01267