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Gaussian processes on trees = from s...

Bovier, Anton, (1957-)

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Gaussian processes on trees = from spin glasses to branching Brownian motion /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gaussian processes on trees/ Anton Bovier, University of Bonn, Germany.
Reminder of title:	from spin glasses to branching Brownian motion /
Author:	Bovier, Anton,
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	x, 200 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 02 Dec 2016).
Subject:	Gaussian processes. -
Online resource:	https://doi.org/10.1017/9781316675779
ISBN:	9781316675779

Gaussian processes on trees = from spin glasses to branching Brownian motion /
Bovier, Anton,1957-

Gaussian processes on treesfrom spin glasses to branching Brownian motion /[electronic resource] :Anton Bovier, University of Bonn, Germany. - Cambridge :Cambridge University Press,2017. - x, 200 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;163. - Cambridge studies in advanced mathematics ;163..

Title from publisher's bibliographic system (viewed on 02 Dec 2016).

Branching Brownian motion (BBM) is a classical object in probability theory with deep connections to partial differential equations. This book highlights the connection to classical extreme value theory and to the theory of mean-field spin glasses in statistical mechanics. Starting with a concise review of classical extreme value statistics and a basic introduction to mean-field spin glasses, the author then focuses on branching Brownian motion. Here, the classical results of Bramson on the asymptotics of solutions of the F-KPP equation are reviewed in detail and applied to the recent construction of the extremal process of BBM. The extension of these results to branching Brownian motion with variable speed are then explained. As a self-contained exposition that is accessible to graduate students with some background in probability theory, this book makes a good introduction for anyone interested in accessing this exciting field of mathematics.

ISBN: 9781316675779Subjects--Topical Terms:

672951
Gaussian processes.

LC Class. No.: QA274.4 / .B68 2017

Dewey Class. No.: 519.23

Gaussian processes on trees = from spin glasses to branching Brownian motion /
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300 $a x, 200 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 163
500 $a Title from publisher's bibliographic system (viewed on 02 Dec 2016).
520 $a Branching Brownian motion (BBM) is a classical object in probability theory with deep connections to partial differential equations. This book highlights the connection to classical extreme value theory and to the theory of mean-field spin glasses in statistical mechanics. Starting with a concise review of classical extreme value statistics and a basic introduction to mean-field spin glasses, the author then focuses on branching Brownian motion. Here, the classical results of Bramson on the asymptotics of solutions of the F-KPP equation are reviewed in detail and applied to the recent construction of the extremal process of BBM. The extension of these results to branching Brownian motion with variable speed are then explained. As a self-contained exposition that is accessible to graduate students with some background in probability theory, this book makes a good introduction for anyone interested in accessing this exciting field of mathematics.
650 0 $a Gaussian processes. $3 672951
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830 0 $a Cambridge studies in advanced mathematics ; $v 163. $3 3470678
856 4 0 $u https://doi.org/10.1017/9781316675779