The Lyapunov spectrum of some parabolic systems

Katrin Gelfert; Michal Rams

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arXiv · 0709.2832

The Lyapunov spectrum of some parabolic systems

Katrin Gelfert·Michal Rams

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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.

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BibTeX RIS

Katrin Gelfert, Michal Rams. 2007-09-18. The Lyapunov spectrum of some parabolic systems. https://arxiv.org/abs/0709.2832

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