Let D⊊Rd be an unbounded domain and let B(t) be a Brownian motion in D with normal reflection at the boundary. We study the transcience/recurrence dichotomy, focusing mainly on domains of the form D={(x, z)∈Rl+m) : |z|
Publié le : 2009-03-15
Classification:
Brownian motion,
transience,
recurrence,
normal reflection,
Neumann Laplacian,
hitting times,
60J65
@article{1241099925,
author = {Pinsky, Ross G.},
title = {Transcience/recurrence for normally reflected Brownian motion in unbounded domains},
journal = {Ann. Probab.},
volume = {37},
number = {1},
year = {2009},
pages = { 676-686},
language = {en},
url = {http://dml.mathdoc.fr/item/1241099925}
}
Pinsky, Ross G. Transcience/recurrence for normally reflected Brownian motion in unbounded domains. Ann. Probab., Tome 37 (2009) no. 1, pp. 676-686. http://gdmltest.u-ga.fr/item/1241099925/