Catalytic branching processes via spine techniques and renewal theory

Abstract : In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (discrete space) partial differential equations for the number of particles in a variation of constants formulation. The long-time behavior is then deduced from renewal theorems and induction.
Type de document :
Pré-publication, Document de travail
2011
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https://hal.archives-ouvertes.fr/hal-00605898
Contributeur : Leif Doering <>
Soumis le : lundi 4 juillet 2011 - 16:52:04
Dernière modification le : jeudi 27 avril 2017 - 09:46:21

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  • HAL Id : hal-00605898, version 1
  • ARXIV : 1106.5428

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UPMC | INSMI | USPC | PMA

Citation

Leif Doering, Matthew Roberts. Catalytic branching processes via spine techniques and renewal theory. 2011. <hal-00605898>

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