By using an appropriate martingale, we compute the joint distribution of the hitting time and place of a sphere by $d$-dimensional Brownian motion, when the process starts outside the sphere.
Publié le : 1994-01-14
Classification:
Brownian motion,
hitting time,
place distribution,
60J65,
60G40,
60G17,
33A40,
33A45
@article{1176988854,
author = {Betz, C. and Gzyl, H.},
title = {Hitting Spheres from the Exterior},
journal = {Ann. Probab.},
volume = {22},
number = {4},
year = {1994},
pages = { 177-179},
language = {en},
url = {http://dml.mathdoc.fr/item/1176988854}
}
Betz, C.; Gzyl, H. Hitting Spheres from the Exterior. Ann. Probab., Tome 22 (1994) no. 4, pp. 177-179. http://gdmltest.u-ga.fr/item/1176988854/