Branching random walks : École d'Été de Probabilités de Saint-Flour XLII -- 2012 /
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Author / Creator: | Shi, Zhan (Mathematician), author. |
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Imprint: | Cham : Springer, 2015. |
Description: | 1 online resource (x, 133 pages) : illustrations (some color). |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 2151 Lecture notes in mathematics (Springer-Verlag) ; 2151. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11097447 |
Summary: | 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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Physical Description: | 1 online resource (x, 133 pages) : illustrations (some color). |
Bibliography: | Includes bibliographical references. |
ISBN: | 9783319253725 3319253727 9783319253718 3319253719 |
ISSN: | 0075-8434 ; |