HITTING TIME AND PLACE TO A SPHERE OR SPHERICALSHELL FOR BROWNIAN MOTION

Citation:

YIN Chuancun,WU Rong.HITTING TIME AND PLACE TO A SPHERE OR SPHERICALSHELL FOR BROWNIAN MOTION[J].Chinese Annals of Mathematics B,1999,20(2):205~214
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Authors:

YIN Chuancun; WU Rong

Foundation:

the National Natural Science Foundation of China and the Centre of Mathematics Research & Higher Personnel Training of the Ministry of Education of China
Abstract: In this paper, the authors compute the explicit formulas for the joint distributions of the hitting time and place for a sphere or concentric spherical shell by Brownian motion, when the process starts either outside the sphere or the region bounded by concentric spheres.

Keywords:

Brownian motion, Hitting time, Hitting place, Spherical shell,Sphere

Classification:

60J65
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