Catalytic branching processes via spine techniques and renewal theory

Leif Doering, Matthew I Roberts

Research output: Contribution to journalArticlepeer-review

8 Citations (SciVal)

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.
Original languageEnglish
Pages (from-to)305-322
Number of pages18
JournalSéminaire de Probabilités
VolumeXLV
DOIs
Publication statusPublished - 2013

Fingerprint

Dive into the research topics of 'Catalytic branching processes via spine techniques and renewal theory'. Together they form a unique fingerprint.

Cite this