The Lyapunov spectrum of some parabolic systems
Dynamical Systems
2007-09-19 v1
Abstract
We study the Hausdorff dimension spectrum for Lyapunov exponents for a class of interval maps which includes several non-hyperbolic situations. We also analyze the level sets of points with given lower and upper Lyapunov exponents and, in particular, with zero lower Lyapunov exponent. We prove that the level set of points with zero exponent has full Hausdorff dimension, but carries no topological entropy.
Keywords
Cite
@article{arxiv.0709.2832,
title = {The Lyapunov spectrum of some parabolic systems},
author = {Katrin Gelfert and Michal Rams},
journal= {arXiv preprint arXiv:0709.2832},
year = {2007}
}
Comments
21 pages, 3 figures