Date: Wednesday, October 1, 2003
Time: 4:30 pm
Location: Hayes-Healy Building, Room 117
Refreshments: 4:00 in room 257 Hurley Lounge

Speaker: Jean-Pierre Eckmann

From: Département de Physique Théorique and Section de Mathématiques
University of Geneva, Geneva, Switzerland

Title: Decay of Correlations and Liapunov Exponents

Abstract:
Pierre Collet and I get asked periodically whether decay of correlation functions and Liapunov exponents of chaotic systems are related. In this talk, I will summarize our findings, which show that the question is difficult. In particular, these difficulties are not due to esoteric examples, but rather a generic property of high-dimensional dynamical systems. This will be illustrated by several simple examples.

Note: This event is sponsored by Notre Dame's Department of Mathematics and the Department of Physics.