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École d'Été de Probabilités de Saint-Flour

Branching Random Walks

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

Authors: Shi, Zhan

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eBook $39.99
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  • ISBN 978-3-319-25372-5
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Softcover $49.99
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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)


Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-25372-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-319-25371-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Branching Random Walks
Book Subtitle
École d'Été de Probabilités de Saint-Flour XLII – 2012
Authors
Series Title
École d'Été de Probabilités de Saint-Flour
Series Volume
2151
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-25372-5
DOI
10.1007/978-3-319-25372-5
Softcover ISBN
978-3-319-25371-8
Series ISSN
0721-5363
Edition Number
1
Number of Pages
X, 133
Number of Illustrations
2 b/w illustrations, 6 illustrations in colour
Topics