Klaus Fleischmann, Carl Mueller
Published 2002-11-27, updated 2002-12-09Version 2
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.
Journal: SIAM J. Math. Anal., 36, 3, 740-772, (2004)
On the large scale behavior of super-Brownian motion in three dimensions with a single point source
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Infinite volume limit of the Abelian sandpile model in dimensions d >= 3
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