Catalytic branching processes via spine techniques and renewal theory

Leif Doering, Matthew I Roberts

Research output: Contribution to journalArticle

6 Citations (Scopus)

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

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Renewal Theorem
Renewal Theory
Spine
Branching process
Long-time Behavior
Lemma
Proof by induction
Partial differential equation
Moment
Formulation

Cite this

Catalytic branching processes via spine techniques and renewal theory. / Doering, Leif; Roberts, Matthew I.

In: Séminaire de Probabilités, Vol. XLV, 2013, p. 305-322.

Research output: Contribution to journalArticle

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