DIMENSION RESULTS FOR GAUSSIAN VECTOR-FIELDS AND INDEX-ALPHA STABLE FIELDS

• 成果类型: Article
• 署名作者: XIAO, YM
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988387
• 发表日期: 1995
• 页码: 273-291
• 关键词: path

摘要

The Hausdorff dimension and packing dimension of the image and graph of Gaussian vector fields and index-alpha stable fields are obtained under general conditions which allow for different local behavior of the components and for dependence among them. These results correct some errors in print. The condition for an index-alpha stable field to have k-multiple points are considered and in the case of Nk > (k - 1)Sigma(j=1)(d)alpha(j), the Hausdorff dimension of the set of k-multiple times is given.