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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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Periodic points near an adding machine
by
Krystyna Kuperberg
Auburn University

Let C be a Cantor set in the plane invariant under a planar homeomorphism h. If (C, h|C) is an adding machine, then h has a periodic point in every neighborhood of C. This generalizes a result of Buescu and Stewart who proved the existence of periodic orbits arbitrarily close to C assuming that (C, h|C) is a stable adding machine.

Date received: February 27, 2003

Copyright © 2003 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 # cajz-82.