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Shi

Branching Random Walks

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

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eBook. PDF

eBook

2016

133 S. X, 133 p. 8 illus., 6 illus. in color..

In englischer Sprache

Springer Nature Switzerland. ISBN 978-3-319-25372-5

Das Werk ist Teil der Reihe: École d'Été de Probabilités de Saint-Flour Lecture Notes in Mathematics

Produktbeschreibung

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.