Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion: Series Number 163 (Cambridge Studies in Advanced Mathematics, Series Number 163) - Image 1

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Cambridge University Press Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion: Series Number 163 (Cambridge Studies in Advanced Mathematics, Series Number 163)

Name: Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion: Series Number 163 (Cambridge Studies in Advanced Mathematics, Series Number 163)
Brand: Cambridge University Press
Price: 34.95 GBP
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Probability & Statistics

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107160499
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Probability & Statistics
Domain: Amazon UK
Release Date: 07 November 2016
Listed Since: 08 July 2016

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Cambridge University Press Gaussian Processes on Trees: From Spin Glasses to Branching Brownian Motion: Series Number 163 (Cambridge Studies in Advanced Mathematics, Series Number 163)

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