Article Contents
Article Contents

# Multifractal analysis of random weak Gibbs measures

• 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.

Mathematics Subject Classification: Primary: 37D35; Secondary: 37C45, 28A78.

 Citation:

• Figure 1.  Choice of $\overline\kappa_1$

Figure 2.  Choice of $\overline\kappa_{i+1}$

Figure 3.  A cover for $B(x, r)\cap X_{\omega}$

Figure 4.

Figures(4)