New York Journal of Mathematics
Volume 3A (1997-1998) 125-134

  

Aimee S. A. Johnson and Ayşe A. Şahin

Finite Rank Zd Actions and the Loosely Bernoulli Property


Published: April 28, 1998
Keywords: ergodic theory, finite rank, Zd actions, loosely Bernoulli
Subject: 28D15, 28D20

Abstract
We define finite rank for Zd actions and show that those finite rank actions with a certain tower shape are loosely Bernoulli for d≧1.

Acknowledgements

The research of the first author was partially supported by the Swarthmore College Research Fund.

The research of the second author was partially supported by the NSF under grant number DMS-9501103


Author information

Aimee S. A. Johnson:
Department of Mathematics and Statistics, Swarthmore College, Swarthmore, PA 19081
aimee@cc.swarthmore.edu

Ayşe A. Şahin:
Department of Mathematics, North Dakota State University, Fargo, ND 58105
sahin@plains.nodak.edu
http://www.math.ndsu.nodak.edu/faculty/sahin