The Lyapunov spectrum of some parabolic systems

Details The Lyapunov spectrum of some parabolic systems The Lyapunov spectrum of some parabolic systems

2007-09-18

arxiv.org/abs/0709.2832v1

Mathematics

Dynamical Systems

21 pages, 3 figures

Scientific paper

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.

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