Article ID Journal Published Year Pages File Type
1156600 Stochastic Processes and their Applications 2006 29 Pages PDF
Abstract

Recently a spatial version of Neveu’s (1992) continuous-state branching process was constructed by Fleischmann and Sturm (2004). This superprocess with infinite mean branching behaves quite differently from usual supercritical spatial branching processes. In fact, at macroscopic scales, the mass renormalized to a (random) probability measure is concentrated in a single space point which randomly fluctuates according to the underlying symmetric stable motion process.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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