Multifractal analysis of L,vy fields

• 成果类型: Article
• 署名作者: Durand, Arnaud; Jaffard, Stephane
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris-Est-Creteil-Val-de-Marne (UPEC)
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-011-0340-0
• 发表日期: 2012
• 页码: 45-96
• 关键词: large intersection; sets

摘要

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