The Lyapunov spectrum of some parabolic systems

By K. Gelfert, Michal Rams. Ergodic Theory and Dynamical Systems, 2007

72 citations recorded by the source corpus.

Abstract We study the Hausdorff dimension 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.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/475fcbe887f564c9bb95643b180a06ce4c9a7d73

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In Mathematical Physics

1. T. Jordan
2. Anders Johansson
3. Anders Öberg
4. Mark Pollicott
5. G. Iommi
6. Fr'ed'eric Naud

In Statistical and Nonlinear Physics

1. T. Jordan
2. Anders Johansson
3. Anders Öberg
4. Mark Pollicott
5. G. Iommi

Citations in the corpus

• Multifractal analysis of non-uniformly hyperbolic systems (2008, methodology): “To complete the proof for the second case where α ∈{ a1 ,a 2} we follow a similar approach to that used by Gelfert and Rams in [ 4 ].”