Jump behavior of the first passage time processes for Brownian motion, its range and BES(3) are compared via their Poisson measures. Explicit results concerning Brownian motion up to a first passage time of its range are given.
Publié le : 1985-08-14
Classification:
Brownian motion,
range,
first passage times,
60J65
@article{1176992923,
author = {Imhof, J.-P.},
title = {On the Range of Brownian Motion and Its Inverse Process},
journal = {Ann. Probab.},
volume = {13},
number = {4},
year = {1985},
pages = { 1011-1017},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992923}
}
Imhof, J.-P. On the Range of Brownian Motion and Its Inverse Process. Ann. Probab., Tome 13 (1985) no. 4, pp. 1011-1017. http://gdmltest.u-ga.fr/item/1176992923/