• Medientyp: Sonstige Veröffentlichung; E-Artikel
  • Titel: The large scale behavior of super-Brownian motion in three dimensions with a single point source
  • Beteiligte: Fleischmann, Klaus [Verfasser:in]; Vogt, Pascal [Verfasser:in]; Mueller, Carl [Verfasser:in]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2007
  • Sprache: Englisch
  • DOI: https://doi.org/10.31390/cosa.1.1.03
  • ISSN: 0973-9599 -- 2580435-2 -- https://digitalcommons.lsu.edu/cosa/ -- Communications on Stochastic Analysis
  • Schlagwörter: Super-Brownian motion with singular mass creation -- expected mass -- Schrödinger equation with one-point-potential ; article
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  • Beschreibung: In a recent work, Fleischmann and Mueller (2004) showed the existence of a super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their construction made use of an analytical approach based on the fundamental solution of the heat equation with a one point potential worked out by Albeverio et al. (1995). The present note addresses two properties of this measure-valued process in the three-dimensional case, namely the scaling of the process and the large scale behavior of its mean.