The Lyapunov spectrum of some parabolic systems

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dc.creatorGelfert, Katrin
dc.creatorRams, Michal
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:29Z
dc.date.available2026-07-07T08:30:29Z
dc.descriptionWe 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.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0709.2832
dc.identifierhttp://arxiv.org/abs/0709.2832
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138252
dc.subjectDynamical Systems
dc.subject37E05; 37D25; 37C45; 28D99
dc.titleThe Lyapunov spectrum of some parabolic systems
dc.typetext

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