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Bovier, Anton, (1957-)

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Gaussian processes on trees/ Anton Bovier, University of Bonn, Germany.
其他題名:	from spin glasses to branching Brownian motion /
作者:	Bovier, Anton,
出版者:	Cambridge :Cambridge University Press, : 2017.,
面頁冊數:	x, 200 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 02 Dec 2016).
標題:	Gaussian processes. -
電子資源:	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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500 $a Title from publisher's bibliographic system (viewed on 02 Dec 2016).
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