Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets
Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets
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 $\unicode[STIX]{x1D719}$ is a Hölder …