WIAS Preprint No. 790, (2002)

Super-Brownian motion with extra birth at one point


  • Fleischmann, Klaus
  • Mueller, Carl

2010 Mathematics Subject Classification

  • 60J80 60K35


  • Super-Brownian motion, measure-valued processes, heat equation, singular potential, one-point potential




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.

Appeared in

  • SIAM J. Math. Anal., 2004, vol. 36, no. 3, pp. 740-772

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