Title of article
Large scale localization of a spatial version of Neveu’s branching process
Author/Authors
Fleischmann، نويسنده , , Klaus and Wachtel، نويسنده , , Vitali، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
29
From page
983
To page
1011
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.
Keywords
Infinite mean branching superprocess , Neveu’s continuous-state branching , Large scale concentration in one point , Log–Laplace product formula , Small epsilon asymptotics
Journal title
Stochastic Processes and their Applications
Serial Year
2006
Journal title
Stochastic Processes and their Applications
Record number
1577799
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