Birkhoff spectra for one-dimensional maps with some hyperbolicity

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dc.creatorChung, Yong Moo
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:26:08Z
dc.date.available2026-07-07T09:26:08Z
dc.descriptionWe study the multifractal analysis for smooth dynamical systems in dimension one. It is characterized the Hausdorff dimension of the level set obtained from the Birkhoff averages of a continuous function by the local dimensions of hyperbolic measures for a topologically mixing $C^2$ map modelled by an abstract dynamical system. A characterization which corresponds to above is also given for the ergodic basins of invariant probability measures. And it is shown that the complement of the set of quasi-regular points carries full Hausdorff dimension.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0803.1522
dc.identifierhttp://arxiv.org/abs/0803.1522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156647
dc.subjectDynamical Systems
dc.subject37C45
dc.titleBirkhoff spectra for one-dimensional maps with some hyperbolicity
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