多参数广义Wiener过程像集的一致Hausdorff维数

Uniform Hausdorff Dimension of Image Sets for the Multiparameter Generalized Wiener Processes

本文得到了多参数广义Wiener过程像集的一致Hausdorff维数:在一定条件下,a.s. E∈B(RN+)有:2αdimE.βdimE≤dim( W(E))

In this paper, We obtain the uniform Hausdorff dimension of image sets for the multiparameter Generalized Wiener processes:under some conditions, a.s.E∈B(R\+N\-+)have\ 2βdimE≤dim((E))≤2αdimE.