摘要
本文研究了d维平稳高斯过程极集的性质,给出了d维平稳高斯过程广义极性的充分条件,并通过一个特殊的Cantor型集的构造将极集的维数与容度巧妙地结合起来,得到了d维平稳高斯过程非极集的Hausdorff维数的下确界.
The properties of the polar sets for d-dimesional stationary Gaussian processes are studied. The sufficient conditions for a set to be polar are proved. Finally,the infimum of the Hausdorff dimensions of its non-polar sets is acquired by means of constructing a Cantor-type set to connect Hausdorff dimension and capacity.
出处
《数学杂志》
CSCD
北大核心
2007年第5期534-538,共5页
Journal of Mathematics
基金
浙江省高校人文社科重点研究资助项目.
