| Título: | Multiple Space-Time Scale Analysis For Interacting Branching Models |
| Autores: |
Dawson, Donald A.; Carleton University Greven, Andreas; Universitat Erlangen-Nurnberg |
| Fecha: | 1996-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Branching processes, interacting diffusions, super random walk, renormalization, historical processes 60K35, 60J80 |
| Descripción: | 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. |
| Idioma: | Inglés |
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