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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
Kamel Haddad
California State University, Bakersfield
Coauthors: William Ott

A point x in a dynamical system is said to be weak product recurrent if it recurrs it tandem with every almost periodic point in every dynamical system. We prove that weak product recurrence is strictly weaker than distality, thus solving a problem posed by Auslander and Furstenberg.

Date received: February 28, 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-16.