Multifractal analysis of random weak Gibbs measures

2016/07/31 by Zhihui Yuan, Yuan, Zhihui · 1 citation
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1608.00216

openalex publication_date 2016/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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