Large scale localization of a spatial version of Neveu's branching process
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.
Year of publication: |
2006
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Authors: | Fleischmann, Klaus ; Wachtel, Vitali |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 116.2006, 7, p. 983-1011
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Publisher: |
Elsevier |
Keywords: | Neveu's continuous-state branching Infinite mean branching superprocess Large scale concentration in one point Log-Laplace product formula Small epsilon asymptotics |
Saved in:
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