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2013 | OriginalPaper | Buchkapitel

Catalytic Branching Processes via Spine Techniques and Renewal Theory

verfasst von : Leif Döring, Matthew I. Roberts

Erschienen in: Séminaire de Probabilités XLV

Verlag: Springer International Publishing

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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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Vorheriges Kapitel An Elementary Proof that the First Hitting Time of an Open Set by a Jump Process is a Stopping Time

Nächstes Kapitel Malliavin Calculus and Self Normalized Sums

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Titel: Catalytic Branching Processes via Spine Techniques and Renewal Theory
verfasst von: Leif Döring
Matthew I. Roberts
Verlag: Springer International Publishing
Buch: Séminaire de Probabilités XLV
Print ISBN: 978-3-319-00320-7

Electronic ISBN: 978-3-319-00321-4

Copyright-Jahr: 2013
DOI: https://doi.org/10.1007/978-3-319-00321-4_12