We establish a general formula for the Laplace transform of the hitting times of a Gaussian process. Some consequences are derived, and particular cases like the fractional Brownian motion are discussed.
@article{1196268681,
author = {Decreusefond, Laurent and Nualart, David},
title = {Hitting times for Gaussian processes},
journal = {Ann. Probab.},
volume = {36},
number = {1},
year = {2008},
pages = { 319-330},
language = {en},
url = {http://dml.mathdoc.fr/item/1196268681}
}
Decreusefond, Laurent; Nualart, David. Hitting times for Gaussian processes. Ann. Probab., Tome 36 (2008) no. 1, pp. 319-330. http://gdmltest.u-ga.fr/item/1196268681/