广义α-stable过程的自相交局部时

The self-intersection local time of the generalized α-stable process

研究了N指标d维广义α stable过程自相交局部时的存在性和联合连续性,给出了其相交局部时平方可积和联合连续的一个充分条件,其结论推广了N指标d维α stable过程和N指标d维广义BrownianSheet的相应结果.

We study the existence and the joint continuity of the self-intersection local time of N-parameter d-dimension generalized α-stable processes, and present a sufficient condition for the existence of square integrable and the joint continuity of this process. These results contain and extend the results of N-parameter d-dimension α-stable processes and N-parameter d-dimension generalized Brownian Sheet.