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系统科学与数学 1999
THE INTERSECTION AND THE POLAR FUNCTIONS OF NONDEGENERATE DIFFUSION PROCESSES
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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.