WIAS Preprint No. 951, (2004)
Large scale localization of a spatial version of Neveu's branching process
Authors
- Fleischmann, Klaus
- Wachtel, Vitali
2010 Mathematics Subject Classification
- 60J80 60G57
Keywords
- Neveu's continuous-state branching, infinite mean branching superprocess, large scale concentration in one point, log-Laplace product formula, small epsilon asymptotics
DOI
Abstract
Recently a spatial versions 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.
Appeared in
- Electron. J. Probab., 11 (2006) pp. 723-767.
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