Branching Random Walks

École d'Été de Probabilités de Saint-Flour XLII – 2012

Paperback Engels 2016 9783319253718
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Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time.

Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees.

Specificaties

ISBN13:9783319253718
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>I Introduction.- II Galton–Watson trees.- III Branching random walks and martingales.- IV The spinal decomposition theorem.- V Applications of the spinal decomposition theorem.- VI Branching random walks with selection.- VII Biased random walks on Galton–Watson trees.- A Sums of i.i.d. random variables.- References.</p>

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€ 42,99
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