Power weak mixing does not imply multiple recurrence in infinite measure and other counterexamples

Kate Gruher, Fred Hines, Deepam Patel, Cesar E. Silva, and Robert Waelder

Published:	January 23, 2003
Keywords:	Multiple recurrence, power weak mixing, infinite measure-preserving, rank one staircases
Subject:	Primary 37A40. Secondary 28D

Kate Gruher:
University of Chicago, Chicago, IL 60637, USA
kagruher@uchicago.edu

Fred Hines:
Williams College, Williamstown, MA 01267, USA
fhines@wso.williams.edu

Deepam Patel:
Brandeis University, Waltham, MA 02454, USA
dns97@hotmail.com

Cesar E. Silva:
Department of Mathematics, Williams College, Williamstown, MA 01267, USA
csilva@williams.edu

Robert Waelder:
University of California, Berkeley, CA 94720, USA
rwaelder@hotmail.com