For a simply connected plane Greenian domain $D$ we give a natural description of the means of exit of a Brownian path from $D$. We give a related discussion of the connection between classical and probabilistic Fatou theorems.
Publié le : 1987-07-14
Classification:
Conditional Brownian motion,
Fatou theorems,
means of approach to boundary,
60J45
@article{1176992077,
author = {Cranston, M.},
title = {On the Means of Approach to the Boundary of Brownian Motion},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 1009-1013},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992077}
}
Cranston, M. On the Means of Approach to the Boundary of Brownian Motion. Ann. Probab., Tome 15 (1987) no. 4, pp. 1009-1013. http://gdmltest.u-ga.fr/item/1176992077/