Multifractal analysis of random weak Gibbs measures

Abstract

We describe the multifractal nature of random weak Gibbs measures on some class of attractors associated with C1 random dynamics semi-conjugate to a random subshift of finite type. This includes the validity of the multifractal formalism, the calculation of Hausdorff and packing dimensions of the so-called level sets of divergent points, and a 0-∞ law for the Hausdorff and packing measures of the level sets of the local dimension.

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