Multifractal analysis of Lévy fields

被引：0

作者：

Arnaud Durand

Stéphane Jaffard

机构：

[1] UMR 8628,Laboratoire de Mathématiques

[2] Université Paris-Sud,Laboratoire d’Analyse et de Mathématiques Appliquées

[3] Université Paris-Est Créteil Val de Marne UMR 8050,undefined

来源：

Probability Theory and Related Fields | 2012年 / 153卷

关键词：

Lévy random fields; Multifractal analysis; Hausdorff measures and dimension; Sets with large intersection; Diophantine approximation; Ubiquity; Primary: 60G60; 60G51; Secondary: 60G17; 60D05; 28A78; 28A80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the pointwise regularity properties of the Lévy fields introduced by T. Mori; these fields are the most natural generalization of Lévy processes to the multivariate setting. We determine their spectrum of singularities, and we show that their Hölder singularity sets satisfy a large intersection property in the sense of K. Falconer.

引用

页码：45 / 96

页数：51

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