Multifractal analysis of random weak Gibbs measures (1608.00216v1)

Published 31 Jul 2016 in math.DS

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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Authors (1)

Zhihui Yuan

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