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Branching Random Walks = École d'Été de Probabilités de Saint-Flour XLII – 2012 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Branching Random Walks/ by Zhan Shi.
Reminder of title:	École d'Été de Probabilités de Saint-Flour XLII – 2012 /
Author:	Shi, Zhan.
Description:	X, 133 p. 8 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-25372-5
ISBN:	9783319253725

Branching Random Walks = École d'Été de Probabilités de Saint-Flour XLII – 2012 /
Shi, Zhan.

Branching Random WalksÉcole d'Été de Probabilités de Saint-Flour XLII – 2012 /[electronic resource] :by Zhan Shi. - 1st ed. 2015. - X, 133 p. 8 illus., 6 illus. in color.online resource. - École d'Été de Probabilités de Saint-Flour,21510721-5363 ;. - École d'Été de Probabilités de Saint-Flour,2151.

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

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

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Branching Random Walks = École d'Été de Probabilités de Saint-Flour XLII – 2012 /
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