On the large scale behavior of super-Brownian motion in three dimensions with a single point source

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dc.creatorFleischmann, Klaus
dc.creatorMueller, Carl
dc.creatorVogt, Pascal
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:20:58Z
dc.date.available2026-07-07T07:20:58Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0607667
dc.identifierhttp://arxiv.org/abs/math/0607667
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115141
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject60J80; 60K35
dc.titleOn the large scale behavior of super-Brownian motion in three dimensions with a single point source
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