Large scale localization of a spatial version of Neveu’s branching process |
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Authors: | Klaus Fleischmann Vitali Wachtel |
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Affiliation: | Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D–10117 Berlin, Germany |
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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. |
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Keywords: | primary 60J80 secondary 60G57 |
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