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Large Deviation Rates for Supercritical and Critical Branching Processes Read chapter Read first chapter

1997 | OriginalPaper | Chapter

A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes

Authors : Thomas Kurtz, Russell Lyons, Robin Pemantle, Yuval Peres

Published in: Classical and Modern Branching Processes

Publisher: Springer New York

Included in: Professional Book Archive

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We give complete proofs of the theorem of convergence of types and the Kesten-Stigum theorem for multi-type branching processes. Very little analysis is used beyond the strong law of large numbers and some basic measure theory.AMS(MOS) subject classifications. Primary 60J80.

previous chapter Directed Polymers in Random Media and Spin Glass Models on Trees
next chapter On Two Measures Defined on the Boundary of a Branching Tree
Metadata
Title
A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes
Authors
Thomas Kurtz
Russell Lyons
Robin Pemantle
Yuval Peres
Copyright Year
1997
Publisher
Springer New York
Book
Classical and Modern Branching Processes

Print ISBN: 978-1-4612-7315-8

Electronic ISBN: 978-1-4612-1862-3

Copyright Year: 1997

DOI
https://doi.org/10.1007/978-1-4612-1862-3_14