Catalytic branching processes via spine techniques and renewal theory

Details Catalytic branching processes via spine techniques and renewal theory Catalytic branching processes via spine techniques and renewal theory

2011-06-27

arxiv.org/abs/1106.5428v4

Mathematics

Probability

13 pages, 1 figure. Update: corrections and alterations throughout

Scientific paper

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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