Probability on Graphs : Random Processes on Graphs and Lattices
2 Revised edition
Book Details
Format
Paperback / Softback
Book Series
Institute of Mathematical Statistics Textbooks
ISBN-10
1108438172
ISBN-13
9781108438179
Edition
2 Revised edition
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jan 25th, 2018
Print length
276 Pages
Weight
412 grams
Dimensions
15.10 x 22.70 x 2.20 cms
Product Classification:
Probability & statisticsStochastics
Ksh 6,900.00
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This text introduces disordered physical systems, an active and important area at the interface of probability and physics. It features user-friendly accounts of basic processes, recent research of significance, and open problems and areas worthy of further research, including new statements and proofs developed since the first edition.
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.
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