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Dynamical Systems and Related Topics Workshop
March 21-24, 1998
University of Maryland
College Park, MD, USA

Organizers
Mike Boyle, Brian Hunt, Jim Yorke

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The dimension for Poincare recurrences for piecewise linear maps on the interval
by
Roza Galeeva
Institute of Mathematics, UNAM, Mexico

We discuss the dimension for Poincare recurrences , which is based on the generalized Pesin-Caratheodory dimension, for piecewise linear maps on the interval. We show that in the case of constant slope , i.e uniform expansion, it coincides with the topological entropy.

Date received: March 1, 1998


Copyright © 1998 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 # cabf-14.