Multifractal analysis of random weak Gibbs measures

Zhihui Yuan

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arXiv · 1608.00216

Multifractal analysis of random weak Gibbs measures

Zhihui Yuan

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Abstract

We describe the multifractal nature of random weak Gibbs measures on some class of attractors associated with $C^1$ 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 $0$-$\infty$ law for the Hausdorff and packing measures of the level sets of the local dimension.

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Zhihui Yuan. 2016-07-31. Multifractal analysis of random weak Gibbs measures. https://arxiv.org/abs/1608.00216

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