01852aam a2200181 4500008004500000020001800045082001700063100001800080245008000098260004400178300001400222440004600236504027200282520104200554650002101596650002301617650003001640170511b2017 xxu||||| |||| 00| 0 eng d a9781107160491 a519.23bB6G2 aBovier, Anton aGaussian processes on trees: from spin glasses to branching Brownian motion bCambridge university pressc2017aDelhi ax, 200 p. aCambridge studies in advanced mathematics aTable 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.
aBranching 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
aRandom variables aGaussian processes aBranching Brownian motion