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Spring Topology and Dyanmical Systems Conference 2010
March 18-20, 2010
Mississippi State University
Starkville, Mississippi, USA

Organizers
Paul Fabel, Wayne Lewis, Frederic Mynard

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Invariant scrambled sets and mixing
by
Piotr Oprocha
Universidad de Murcia, Spain
Coauthors: Francisco Balibrea and Juan L. G. Guirao

An uncountable set S is said to be scrambled (for a continuous map f: X→ X acting on a compact metric space), if any pair of its distinct points is proximal but not asymptotic. In this talk we will present conditions sufficient for such a set to be invariant. We will survey through known results and present some new ones (most of them related to different degrees of mixing in dynamics). At the end we will state a few open problems for further research.

Date received: February 4, 2010

Copyright © 2010 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 # cazl-44.