ENGLISH

Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012

By Zhan Shi (auth.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-25371-8, 978-3-319-25372-5
DOI
10.1007/978-3-319-25372-5
Language
english
Format
PDF
Filesize
2 MB (1763057 bytes)
Series
Lecture Notes in Mathematics 2151
Edition
1
Pages
X, 133\143
Time added
2016-07-20 04:00:00
Probability Theory and Stochastic Processes

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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