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Branching Random Walks

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

Branching Random Walks by Zhan Shi
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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.

Springer International Publishing; February 2016
143 pages; ISBN 9783319253725
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Title: Branching Random Walks
Author: Zhan Shi
 
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9783319253718
9783319253725