Law of Large Numbers for the Occupation Time of an Age-Dependent Branching System
The occupation time of an age-dependent branching particle system is considered, where the particles are subject to random migration, random lifetimes and branching. Under the usual independence assumptions in branching processes, we give a characterization of the occupation time of such branching s...
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| Tipo de recurso: | informe técnico |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | México |
| Institución: | Centro de Investigación en Matemáticas |
| Repositorio: | Repositorio Institucional CIMAT |
| Idioma: | inglés |
| OAI Identifier: | oai:cimat.repositorioinstitucional.mx:1008/616 |
| Acceso en línea: | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/616 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/MSC/Probabilidad - Migración info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/12 info:eu-repo/classification/cti/1208 info:eu-repo/classification/cti/110403 |
| Sumario: | The occupation time of an age-dependent branching particle system is considered, where the particles are subject to random migration, random lifetimes and branching. Under the usual independence assumptions in branching processes, we give a characterization of the occupation time of such branching system by means of its transition Laplace functional. In the case of nite variance branching (and large mobility of individuals), a large time limit theorem for the occupation time process is obtained. |
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