Burdzy, KrzysztofBarlow, Martin T.Bass, Richard F.2005-11-232005-11-231997-09-24Barlow, M.T., R.F. Bass, & K. Burdzy. (1997). Positivity of Brownian transition densities. Electronic Communications in Probability, 2, 43-51.http://hdl.handle.net/1773/2180Let B be a Borel subset of R [to the power of] 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.167807 bytesapplication/pdfen-USTransition densitiesBrownian motionEigenvalue expansionFine topologyRegular pointsArticle