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Semi-annual Workshop on Dynamical Systems and Related Topics
March 18-21, 2000
University of Maryland
College Park, MD, USA

Organizers
Brian R. Hunt, Michael Jakobson

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Multifractal Analysis of Conformal Axiom A Flows
by
Victoria Sadovskaya
The Pennsylvania State University
Coauthors: Yakov Pesin (The Pennsylvania State University)

We develop the multifractal analysis of conformal axiom A flows. This includes the study of the dimension spectra for pointwise dimension and for Lyapunov exponents and the multifractal decomposition associated with these spectra. We show that the dimension spectrum for Lyapunov exponents is trivial if and only if the measure of full dimension coincides with measure of maximal entropy. We apply this statement to geodesic flows on compact Riemannian manifolds of negative curvature.

Date received: March 15, 2000

Copyright © 2000 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 # caep-22.