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Positivity of Brownian Transition Densities

  
@article{ECP983,
	author = {Martin Barlow and Richard Bass and Krzysztof Burdzy},
	title = {Positivity of Brownian Transition Densities},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {2},
	year = {1997},
	keywords = {Transition densities, Brownian motion,  eigenvalue expansion, fine topology, regular points.},
	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.},
	pages = {no. 4, 43-51},
	issn = {1083-589X},
	doi = {10.1214/ECP.v2-983},    
        url = {http://ecp.ejpecp.org/article/view/983}}