01982aam a2200205 4500
170511b2017 xxu||||| |||| 00| 0 eng d
9781107160491
519.23
B6G2
Bovier, Anton
343662
Gaussian processes on trees: from spin glasses to branching Brownian motion
Cambridge university press
2017
Delhi
x, 200 p.
Cambridge studies in advanced mathematics
343663
Table of Contents:
1.Extreme value theory for iid sequences
2.Extremal processes
3.Normal sequences
4.Spin glasses
5.Branching Brownian motion
6.Bramson's analysis of the F-KPP equation
7.The extremal process of BBM
8.Full extremal process
9.Variable speed BBM.
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.
https://www.goodreads.com/book/show/32971791-gaussian-processes-on-trees
Random variables
343664
Gaussian processes
343665
Branching Brownian motion
343666
ddc
BK
206344
206344
0
0
ddc
0
519_230000000000000_B6G2
0
NFIC
347441
VSL
VSL
Slot 1403 (0 Floor, East Wing)
2017-05-03
12
3037.72
Slot 1403 (0 Floor, East Wing)
1
3
519.23 B6G2
194406
2018-09-07
2017-06-01
3797.16
BK