TY  - BOOK
AU  - Grimmett,Geoffrey
TI  - Probability on graphs: random processes on graphs and lattices  
T2  - Institute of Mathematical Statistics textbooks
SN  - 9781108528986 (ebook)
AV  - QA166 .G75 2018
U1  - 511/.5 23
PY  - 2018///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Graph theory
KW  - Textbooks
KW  - Probabilities
N1  - Title from publisher's bibliographic system (viewed on 19 Jan 2018)
N2  - 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
UR  - https://doi.org/10.1017/9781108528986
ER  -