稳定随机游动重点集的离散豪斯道夫维数

Discrete Hatisdorff Dimension of the Multiple Points for the Stable Random Walks

设是ｄ维格子点上的严格α－稳定的随机游动，称为的Ｐ重点集（Ｐ１），本文讨论了的离散豪斯道夫维数，并对，（ａ＜ｄ），证明了Ｐ重点集的维数都等于ａ。

Let{X_n}be a stable random walk on whose distribution is in the domain ofattraction of a stable low of index a, andis its p-multiple points. In this paper,the discrete Hausdorff dimension problelli for isinvestigated.As aresult,it is proved that, if a <d, dim a. s.