UNIFORM PACKING DIMENSION RESULTS FOR MULTIPARAMETER STABLE PROCESSES  

作　　者：钟玉泉 胡迪鹤 

机构地区：[1]Institute of Applied Mathematics Academia Sinica [2]School of Mathematics Wuhan University

出　　处：《Acta Mathematica Scientia》2007年第1期1-10,共10页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China.

摘　　要：In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform Holder condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable （N, d, α）-process and αN ≤ d, then the following holds with probability 1 Dim Z（E）=α Dim E for any Borel setE ∈B（R ＋^N）, where Z（E）={x：E←t∈E,Z（t）=x}, Dim （E） denotes the packing dimension of E.In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform Holder condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable （N, d, α）-process and αN ≤ d, then the following holds with probability 1 Dim Z（E）=α Dim E for any Borel setE ∈B（R ＋^N）, where Z（E）={x：E←t∈E,Z（t）=x}, Dim （E） denotes the packing dimension of E.

关 键 词：（N d α）-stable process stopping time Kolmogorov upper index packing dimension 

分 类 号：O211.6[理学—概率论与数理统计]