Infimum of Entropy for SRB measures of Hyperbolic Attractors
April 6, 2007 3pm, 646 PGH
Abstract
Assume that f a smooth diffeomorphism of a compact smooth manifold
possessing a hyperbolic attractor and is mixing on the attractor. Every
diffeomorphism that is C1-homotopic to f has an
SRB measure on its corresponding attractor. We show that there is a way to
perturb f successively such that the SRB entropy of the perturbed
diffeomorphism is as small as we want.
Webmaster University of Houston
---
Last modified: April 08 2016 - 20:30:35