Mathematics – Dynamical Systems
Scientific paper
2007-09-18
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.
Gelfert Katrin
Rams Michal
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