Super-Brownian motion with extra birth at one point

Details Super-Brownian motion with extra birth at one point Super-Brownian motion with extra birth at one point

2002-11-27

arxiv.org/abs/math/0211435v2

SIAM J. Math. Anal., 36, 3, 740-772, (2004)

Mathematics

Probability

Scientific paper

A super-Brownian motion in two and three dimensions is constructed where
"particles" give birth at a higher rate, if they approach the origin. Via a
log-Laplace approach, the construction is based on Albeverio et al. (1995) who
calculated the fundamental solutions of the heat equation with one-point
potential in dimensions less than four.

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