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THE INTERSECTION AND THE POLAR FUNCTIONS OF NONDEGENERATE DIFFUSION PROCESSES
非退化扩散过程的相交性与极函数

Keywords: Diffusion process,independence,intersection,Hausdorff dimension,polarfunction
扩散过程
,独立性,相交性,Hausdorff维数,极函数

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Abstract:

in this paper, under resonable conditions, we have proved that any two independent one dimensional diffusion processes are intersecting and the time set of the intersection has Hausdorff dimension . Furthermore, we discuss the polar functions for diffusion processes.Under resonable conditions, results resembling those of Brownian motion are obtained.

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