Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2151)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
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Table of contents (7 chapters)
Keywords
About this book
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.
Reviews
“The text is a very well and professionally written presentation of the recent developments in the field of BRW. By focusing on key aspects and results, it provides a perfect guide for any researcher in probability theory, especially those who are looking for a relatively quick introduction.” (Gerold Alsmeyer, Mathematical Reviews, December 2016)
“The lecture notes under review provide an introduction to supercritical branching random walks (BRW). … These nice lecture notes introduce the reader into deep results on branching random walks obtained in the recent few years. The book will be useful to all specialists in probability theory.” (Zakhar Kabluchko, zbMATH 1348.60004, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Branching Random Walks
Book Subtitle: École d'Été de Probabilités de Saint-Flour XLII – 2012
Authors: Zhan Shi
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-25372-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-25371-8Published: 05 February 2016
eBook ISBN: 978-3-319-25372-5Published: 04 February 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 133
Number of Illustrations: 2 b/w illustrations, 6 illustrations in colour