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- W2052819439 abstract "We study a class of systems of countably many linearly interacting diffusions whose components take values in $[0, inf)$ and which in particular includes the case of interacting (via migration) systems of Feller's continuous state branching diffusions. The components are labelled by a hierarchical group. The longterm behaviour of this system is analysed by considering space-time renormalised systems in a combination of slow and fast time scales and in the limit as an interaction parameter goes to infinity. This leads to a new perspective on the large scale behaviour (in space and time) of critical branching systems in both the persistent and non-persistent cases and including that of the associated historical process. Furthermore we obtain an example for a rigorous renormalization analysis." @default.
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- W2052819439 date "1996-01-01" @default.
- W2052819439 modified "2023-10-18" @default.
- W2052819439 title "Multiple Space-Time Scale Analysis For Interacting Branching Models" @default.
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- W2052819439 doi "https://doi.org/10.1214/ejp.v1-14" @default.
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