Catalytic branching processes via spine techniques and renewal theory

2011/06/27 by Doering, Leif, Roberts, Matthew I.
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1106.5428

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.

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