POLAR AND NONPOLAR SETS FOR A TREE INDEXED PROCESS
成果类型：
Article
署名作者：
EVANS, SN
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989792
发表日期：
1992
页码：
579-590
关键词：
摘要：
We consider a class of stochastic processes of a type that was first introduced by Dubins and Freedman. These processes are indexed by the lines of descent through an infinite tree and take values in a space of sequences. Our main results concern necessary and sufficient conditions of a potential theoretic type for a subset of the state-space to be hit with positive probability by the sample paths of the process. We examine these conditions in some specific examples and also relate them to conditions expressed in terms of Hausdorff dimension. As well, we use similar techniques to investigate multiple points in the sample paths of the process.