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Branching Random Walks

Branching Random Walks PDF Author: Zhan Shi
Publisher: Springer
ISBN: 3319253727
Category : Mathematics
Languages : en
Pages : 143

Book Description
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.
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