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- W3100260934 abstract "In this article we prove estimates for the topological pressure of the set of points whose Birkhoff time averages are far from the space averages corresponding to the unique equilibrium state that has a weak Gibbs property. In particular, if $f$ has an expanding repeller and $phi$ is an Holder continuous potential we prove that the topological pressure of the set of points whose accumulation values of Birkhoff averages belong to some interval $Isubset mathbb R$ can be expressed in terms of the topological pressure of the whole system and the large deviations rate function. As a byproduct we deduce that most irregular sets for maps with the specification property have topological pressure strictly smaller than the whole system. Some extensions to a non-uniformly hyperbolic setting, level-2 irregular sets and hyperbolic flows are also given." @default.
- W3100260934 created "2020-11-23" @default.
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- W3100260934 date "2015-10-12" @default.
- W3100260934 modified "2023-10-04" @default.
- W3100260934 title "Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets" @default.
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- W3100260934 doi "https://doi.org/10.1017/etds.2015.46" @default.
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