# American Institute of Mathematical Sciences

October  2017, 37(10): 5367-5405. doi: 10.3934/dcds.2017234

## Multifractal analysis of random weak Gibbs measures

 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received  August 2016 Revised  May 2017 Published  June 2017

We describe the multifractal nature of random weak Gibbs measures on some classes 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 $0$-$∞$ law for the Hausdorff and packing measures of the level sets of the local dimension.

Citation: Zhihui Yuan. Multifractal analysis of random weak Gibbs measures. Discrete & Continuous Dynamical Systems - A, 2017, 37 (10) : 5367-5405. doi: 10.3934/dcds.2017234
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##### References:
Choice of $\overline\kappa_1$
Choice of $\overline\kappa_{i+1}$
A cover for $B(x, r)\cap X_{\omega}$
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