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：
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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.
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页码：45 / 96
页数：51
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