Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156600 | Stochastic Processes and their Applications | 2006 | 29 Pages |
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)
Authors
Klaus Fleischmann, Vitali Wachtel,