Hitting time and place to a sphere or spherical shell for Brownian motion

被引:1
作者
Yin, CC
Wu, R
机构
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
关键词
Brownian motion; hitting time; hitting place; spherical shell; sphere;
D O I
10.1142/S0252959999000230
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:205 / 214
页数:10
相关论文
共 17 条
[1]  
[Anonymous], T AM MATH SOC
[2]  
[Anonymous], 1980, Theory and Application of Stochastic Differential Equations, DOI DOI 10.1063/1.2914346
[3]   HITTING SPHERES WITH BROWNIAN-MOTION AND SOMMERFELD RADIATION CONDITION [J].
BETZ, C ;
GZYL, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 182 (02) :301-308
[4]   HITTING SPHERES FROM THE EXTERIOR [J].
BETZ, C ;
GZYL, H .
ANNALS OF PROBABILITY, 1994, 22 (01) :177-179
[5]  
DAVIES B, 1985, INTEGRAL TRANSFORMS
[6]  
Erdelyi A., 1953, HIGHER TRANSCENDENTA, VII
[7]  
Friedman A., 1964, Partial Differential Equations of Parabolic Type
[8]   EXCURSIONS OF BROWNIAN-MOTION AND BESSEL PROCESSES [J].
GETOOR, RK ;
SHARPE, MJ .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 47 (01) :83-106
[9]  
HSU P, 1986, SEM STOCH PROC
[10]  
Kress R., 1989, LINEAR INTEGRAL EQUA, V74, P804