Gaussian Processes on Trees, 9781107160491
Hardcover
Explore branching Brownian motion, extreme values, and spin glass theory.

Gaussian Processes on Trees

from spin glasses to branching brownian motion

$194.64

  • Hardcover

    210 pages

  • Release Date

    7 November 2016

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Summary

Gaussian Processes on Trees: A Journey Through Branching Brownian Motion

Branching Brownian motion (BBM) is a cornerstone of probability theory, intricately linked to partial differential equations. This book unveils its connection to classical extreme value theory and the fascinating world of mean-field spin glasses in statistical mechanics.

Starting with a concise review of extreme value statistics and a basic introduction to mean-field spin glasses, the focus shifts to br…

Book Details

ISBN-13:9781107160491
ISBN-10:1107160499
Series:Cambridge Studies In Advanced Mathematics
Author:Anton Bovier
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:210
Release Date:7 November 2016
Weight:442g
Dimensions:235mm x 159mm
What They're Saying

Critics Review

‘The text is a very well-written presentation of the motivations and recent developments in the study of the extreme process of the BBM. This provides a perfect guide for any researcher interested in this field, especially those who are looking for a relatively quick introduction.’ Bastien Mallein, Mathematical Reviews ‘When discussing most of the questions, the author pays good attention to both ideas and techniques. He presents a large number of results, many of them are non-trivial limit theorems. Some results are classical in the field, others are quite new, published very recently. While some of the results belong to the author, credit is given to several other contributors in the area. Besides the many results given with their proofs, the author includes useful bibliographical notes in the end of each chapter. The book ends with a comprehensive list of 117 references and Index. This is a well-written book on hot topics from modern stochastics and its applications. The book can be recommended to researchers and university graduate students.’ Jordan M. Stoyanov, Zentralblatt MATH ‘The text is a very well-written presentation of the motivations and recent developments in the study of the extreme process of the BBM. This provides a perfect guide for any researcher interested in this field, especially those who are looking for a relatively quick introduction.’ Bastien Mallein, Mathematical Reviews ‘When discussing most of the questions, the author pays good attention to both ideas and techniques. He presents a large number of results, many of them are non-trivial limit theorems. Some results are classical in the field, others are quite new, published very recently. While some of the results belong to the author, credit is given to several other contributors in the area. Besides the many results given with their proofs, the author includes useful bibliographical notes in the end of each chapter. The book ends with a comprehensive list of 117 references and Index. This is a well-written book on hot topics from modern stochastics and its applications. The book can be recommended to researchers and university graduate students.’ Jordan M. Stoyanov, Zentralblatt MATH

About The Author

Anton Bovier

Anton Bovier is Professor of Mathematics at the University of Bonn. He is the author of more than 130 scientific papers and two monographs, Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge, 2006) and Metastability: A Potential-Theoretic Approach (with Frank den Hollander, 2016). Bovier is a Fellow of the Institute of Mathematical Statistics and a member of the Clusters of Excellence, The Hausdorff Center for Mathematics and ImmunoSensation, both at the University of Bonn.

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