Abstract
Let $B$ be a Borel subset of $R^d$ and let $p(t,x,y)$ be the transition densities of Brownian motion killed on leaving $B$. Fix $x$ and $y$ in $B$. If $p(t,x,y)$ is positive for one $t$, it is positive for every value of $t$. Some related results are given.
Citation
Martin Barlow. Richard Bass. Krzysztof Burdzy. "Positivity of Brownian Transition Densities." Electron. Commun. Probab. 2 43 - 51, 1997. https://doi.org/10.1214/ECP.v2-983
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