Hausdorff维数和Packing维数

The Properties of m-Term Algebraic Sum of Images Set of N-Parameter d-Dimension Generalized Winner Process

设W^(t)∶R+N→Rd是N指标d维广义W inner过程,Bore l集E1,…,Em RN>.本文研究了在一定条件下,m项代数和W^(E1)W^(E2)…W^(Em)的H ausdorff维数和Pack ing维数的有关结论,其结果推广了文[3]的相关结果。

Let W^～（t）：R＋^N→R^d be a N-paremeter d-dimmension generalized Winner process. For any Borel set E1,… ,Em 包含于 R〉^N andundercertainconditions,we study Hausdorff dimension and Packing dimension of m-term algebraic sum W^～（E1 ）＋W^～（E2）＋…＋W^～（Em）. These results contain and extend the results of the article [3].