广义α-stable过程自相交局部时增量的Hlder律及重点

Holder Laws and Multiple Points for Self-intersection Local Time Increments of Generalized α-stable Process

该文研究了N指标d维广义α-stable过程自相交局部时增量的Holder律．并利用所得自相交局部时的性质,证明了该过程重点的存在性,得到了该过程多重时的Hausdorff维数及测度的下界．所得结论包含并推广了广义布朗单及stable单相应的结果．

In this paper the authors discuss the H（oe）der laws for self-intersection local time increments of N-parameter d-dimension generalized α-stable process, prove the existence of multiple points, and obtan the lower bounds about Hausdorff dimension and Hausdorff measure of multiple time. The obtained results contain and extend the existing results of generalized Brownian sheet and Stable sheet.