%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|