Law of large numbers for super-brownian motions with a single point sourceGrummt, R. and Kolb, M. (2013) Law of large numbers for super-brownian motions with a single point source. Stochastic Processes and their Applications, 123 (4). pp. 1183-1212. ISSN 0304-4149 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/j.spa.2012.12.002 Abstract/SummaryWe investigate the super-Brownian motion with a single point source in dimensions 2 and 3 as constructed by Fleischmann and Mueller in 2004. Using analytic facts we derive the long time behavior of the mean in dimension 2 and 3 thereby complementing previous work of Fleischmann, Mueller and Vogt. Using spectral theory and martingale arguments we prove a version of the strong law of large numbers for the two dimensional superprocess with a single point source and finite variance.
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