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HITTING TIME AND PLACE TO A SPHERE OR SPHERICAL SHELL FOR BROWNIAN MOTION
Authors:YIN Chuancun and WU Rong
Institution:[1]DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China [2]DepartmentofMathematics,NankaiUniversity,Tianjln300071tChina.
Abstract:In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside the sphere or the region bounded by concentric spheres.
Keywords:Brownian motion  Hitting time  Hitting place  Spherical shell  Sphere
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