Catalytic branching processes via spine techniques and renewal theory
Probability
2012-03-06 v4
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 behaviour is then deduced from renewal theorems and induction.
Keywords
Cite
@article{arxiv.1106.5428,
title = {Catalytic branching processes via spine techniques and renewal theory},
author = {Leif Doering and Matthew I. Roberts},
journal= {arXiv preprint arXiv:1106.5428},
year = {2012}
}
Comments
13 pages, 1 figure. Update: corrections and alterations throughout