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Grimmett, Geoffrey 作者

译者

2010-8 出版日期

260 页数

$ 131.08 价格

丛书系列

9780521197984 图书编码

Probability on Graphs 在线电子书图书标签: 概率论图论 stochastic_process lattice Probability Graph

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Probability on Graphs 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Probability on Graphs 在线电子书图书描述

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Lowner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

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