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Gaussian Processes on Trees
- From Spin Glasses to Branching Brownian Motion
Engelsk Hardback
Gaussian Processes on Trees
- From Spin Glasses to Branching Brownian Motion
Engelsk Hardback

592 kr
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Om denne bog
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 detaljer
Sprog:
Engelsk
Sider:
210
ISBN-13:
9781107160491
Indbinding:
Hardback
Udgave:
ISBN-10:
1107160499
Udg. Dato:
7 nov 2016
Længde:
16mm
Bredde:
235mm
Højde:
159mm
Forlag:
Cambridge University Press
Oplagsdato:
7 nov 2016
Forfatter(e):
Kategori sammenhænge