Gaussian Processes on Trees

From Spin Glasses to Branching Brownian Motion

Nonfiction, Science & Nature, Mathematics, Statistics, Science
Cover of the book Gaussian Processes on Trees by Anton Bovier, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Anton Bovier ISBN: 9781316871256
Publisher: Cambridge University Press Publication: November 7, 2016
Imprint: Cambridge University Press Language: English
Author: Anton Bovier
ISBN: 9781316871256
Publisher: Cambridge University Press
Publication: November 7, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book A Short History of Ireland by Anton Bovier
Cover of the book Confronting the Internet's Dark Side by Anton Bovier
Cover of the book Financial Crises and the Politics of Macroeconomic Adjustments by Anton Bovier
Cover of the book The Invention of the Passport by Anton Bovier
Cover of the book Gesture by Anton Bovier
Cover of the book What Logics Mean by Anton Bovier
Cover of the book Principles and Practice of Lifespan Developmental Neuropsychology by Anton Bovier
Cover of the book The Cambridge Introduction to Shakespeare's Comedies by Anton Bovier
Cover of the book Global Perspectives on Teacher Motivation by Anton Bovier
Cover of the book MRI from Picture to Proton by Anton Bovier
Cover of the book The Cambridge History of the Romance Languages: Volume 2, Contexts by Anton Bovier
Cover of the book Fundamentals of Plasma Physics by Anton Bovier
Cover of the book Law and the New Logics by Anton Bovier
Cover of the book Near-Surface Applied Geophysics by Anton Bovier
Cover of the book Model Theory and the Philosophy of Mathematical Practice by Anton Bovier
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy