Polya过程的局部不确定性及逆象的一致维数

LOCAL NONDETERMINISM AND UNIFORM DIMESION OF THE INVERSE IMAGE FOR POLYA PROCESSES

研究了某些Ｐｏｌｙａ过程的局部不确定性（ＬＮＤ）；利用ＬＮＤ得到了联合连续的局部时，此局部时对集合变量满足了阶一致Ｈｏｌｄｅｒ条件；利用局部时又获得了逆象及水平集的一致Ｈａｕｓｄｏｒｆｆ维数和Ｐａｃｋｉｎｇ维数．

We studied local nondeterminism of Polya processes,and then obtained a version (x,t) of the local time which is jointly continuous in (x,t) almost surely,and which satisfies ε order H6lder condition in t,uniformly in x,for any ε>0, and uniform Hausdorff dimension and Packing dimension of inverse image,level sets of Polya processes.