Branching random walks : École d'Été de Probabilités de Saint-Flour XLII -- 2012 /

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Bibliographic Details
Author / Creator:Shi, Zhan (Mathematician), author.
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
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Other authors / contributors:École d'Été de Probabilités de Saint-Flour (42nd : 2012 : Saint-Flour, France)
ISBN:9783319253725
3319253727
9783319253718
3319253719
9783319253718
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed February 16, 2016).
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. .
Other form:Printed edition: 9783319253718
Standard no.:10.1007/978-3-319-25372-5
Description
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.

Physical Description:1 online resource (x, 133 pages) : illustrations (some color).
Bibliography:Includes bibliographical references.
ISBN:9783319253725
3319253727
9783319253718
3319253719
ISSN:0075-8434
;