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Branching random walksEcole d'Ete de...

Shi, Zhan.

Branching random walksEcole d'Ete de Probabilites de Saint-Flour XLII - 2012 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Branching random walksby Zhan Shi.
Reminder of title:	Ecole d'Ete de Probabilites de Saint-Flour XLII - 2012 /
Author:	Shi, Zhan.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 133 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Random walks (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-25372-5
ISBN:	9783319253725$q(electronic bk.)

Branching random walksEcole d'Ete de Probabilites de Saint-Flour XLII - 2012 /
Shi, Zhan.

Branching random walksEcole d'Ete de Probabilites de Saint-Flour XLII - 2012 /[electronic resource] :by Zhan Shi. - Cham :Springer International Publishing :2015. - x, 133 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21510075-8434 ;. - Lecture notes in mathematics ;2035..

I Introduction -- II Galton–Watson trees -- III Branching random walks and martingales -- IV The spinal decomposition theorem -- V Applications of the spinal decomposition theorem -- VI Branching random walks with selection -- VII Biased random walks on Galton–Watson trees -- A Sums of i.i.d. random variables -- References.

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.

ISBN: 9783319253725$q(electronic bk.)

Standard No.: 10.1007/978-3-319-25372-5doiSubjects--Topical Terms:

183715
Random walks (Mathematics)

LC Class. No.: QA274.73

Dewey Class. No.: 519.282

Branching random walksEcole d'Ete de Probabilites de Saint-Flour XLII - 2012 /
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505 0 $a I Introduction -- II Galton–Watson trees -- III Branching random walks and martingales -- IV The spinal decomposition theorem -- V Applications of the spinal decomposition theorem -- VI Branching random walks with selection -- VII Biased random walks on Galton–Watson trees -- A Sums of i.i.d. random variables -- References.
520 $a 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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