| Título: | Superprocesses with Dependent Spatial Motion and General Branching Densities |
| Autores: |
Dawson, Donald A.; Carleton University Li, Zenghu; Beijing Normal University Wang, Hao; University of Oregon |
| Fecha: | 2001-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics superprocess, interacting-branching particle system, diffusion process, martingale problem, dual process, rescaled limit, measure-valued catalyst. Primary 60J80, 60G57; Secondary 60J35. |
| Descripción: | We construct a class of superprocesses by taking the high density limit of a sequence of interacting-branching particle systems. The spatial motion of the superprocess is determined by a system of interacting diffusions, the branching density is given by an arbitrary bounded non-negative Borel function, and the superprocess is characterized by a martingale problem as a diffusion process with state space $M({\bf R})$, improving and extending considerably the construction of Wang (1997, 1998). It is then proved in a special case that a suitable rescaled process of the superprocess converges to the usual super Brownian motion. An extension to measure-valued branching catalysts is also discussed. |
| Idioma: | Inglés |
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