%0 Journal Article
%T Transcience/recurrence for normally reflected Brownian motion in unbounded domains
%A Ross G. Pinsky
%J Mathematics
%D 2008
%I arXiv
%R 10.1214/08-AOP416
%X Let $D\subsetneq R^d$ 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 $D=\{(x,z)\in R^{l+m}:|z|<H(|x|)\}$, where $d=l+m$ and $H$ is a sufficiently regular function. This class of domains includes various horn-shaped domains and generalized slab domains.
%U http://arxiv.org/abs/0803.3748v2