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稳定随机游动二重时集的离散Hausdorff维数
Discrete Hausdorff Dimension of The Double time Set of Intersection of Stable Random Walk
【摘要】 设{Xn}n>0是d维格子点上相应于正则变差函数b（n）=n1/8Sn则的稳定随机游动,称 ABd={（n,m）∈Z2 ,Xn=Xm,n<m} 为{Xn}m>0的二重时集,本文讨论了Aβd的离散Hausdorff维数,并且在较弱的条件下证明了:dimH（Aβd）=a.s{当d>β时 1\当d≤时 2-d/β}
【Abstract】 Let {Xn}n>0 be a stable random work which is relative to the function of regularvariation b(n) =n1/bS(n), andis its Double time set of intersection. In this paper, the discrete Hausdorff dimension problem for Aa is investigated. Ae a result, it is proved that
【基金】 天元基金部分资助
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,1995年01期
- 【分类号】O211.5
- 【被引频次】1
- 【下载频次】26