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Gaussian Processes on Trees

Gaussian Processes on Trees

From Spin Glasses to Branching Brownian Motion

Anton Bovier

Cambridge University Press
Publication date : 2016-11-07

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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.

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About the book

Author

Anton Bovier

Imprint

Cambridge University Press

Collection

n.c

Publication date

2016-11-07

Pages

n.c

Print ISBN

9781107160491

Language

English

Ebook informations

EAN PDF

9781316871607

Price

£62.24

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Print count 0

File size 1562591 Ko

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EAN EPUB

9781316871256

Price

£62.24

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Print count 0

File size 8202 Ko

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About author(s)

Anton Bovier

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