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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Weak Product Recurrence Does Not Imply Distality
by
William Ott
Courant Institute of Mathematical Sciences
Coauthors: Kamel Haddad

A point x in a dynamical system is said to be weakly product recurrent if x recurs in tandem with any uniformly recurrent point from any other dynamical system. We prove that weak product recurrence does not imply distality, thus answering a question posed by Auslander and Furstenberg.

Date received: March 19, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cast-44.