عنوان

Probability on graphs :

(Number (ISBN

1108528988

(Number (ISBN

9781108528986

Erroneous ISBN

1108438172

Erroneous ISBN

9781108438179

Title Proper

Probability on graphs :

General Material Designation

[Book]

Other Title Information

random processes on graphs and lattices /

First Statement of Responsibility

Geoffrey Grimmett, Statistical Laboratory, University of Cambridge.

Edition Statement

Second edition.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

[2018]

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

1 online resource (xi, 265 pages)

Series Title

Institute of Mathematical Statistics textbooks ;

Volume Designation

8

Text of Note

Includes bibliographical references and index.

Text of Note

Random walks on graphs -- Uniform spanning tree -- Percolation and self-avoiding walks -- Association and influence -- Further percolation -- Contact process -- Gibbs states -- Random-cluster model -- Quantum ising model -- Interacting particle systems -- Random graphs -- Lorentz gas.

0

Text of Note

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.

Title

Probability on graphs.

International Standard Book Number

9781108438179

Graph theory, Textbooks.

Probabilities, Textbooks.

Graph theory.

Probabilities.

Number

Edition

Class number

Book number

Grimmett, Geoffrey

Date of Transaction

20200822151008.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y