Product Information
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. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. 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.Product Identifiers
PublisherCambridge University Press
ISBN-139781108438179
eBay Product ID (ePID)14046439178
Product Key Features
Number of Pages276 Pages
Publication NameProbability on Graphs: Random Processes on Graphs and Lattices
LanguageEnglish
SubjectMathematics
Publication Year2018
TypeTextbook
AuthorGeoffrey Grimmett
FormatPaperback
Dimensions
Item Height228 mm
Item Weight400 g
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorGeoffrey Grimmett
Series TitleInstitute of Mathematical Statistics Textbooks