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Probability on graphs : random processes on graphs and lattices

Author: Geoffrey Grimmett
Publisher: Cambridge ; New York, NY : Cambridge University Press, [2018] ©2018
Series: Institute of Mathematical Statistics textbooks, 8.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Grimmett, Geoffrey.
Probability on graphs.
Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018
(DLC) 2017057560
(OCoLC)1019835913
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Geoffrey Grimmett
ISBN: 9781108528986 1108528988
OCLC Number: 1022277739
Description: 1 online resource (xi, 265 pages)
Contents: 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.
Series Title: Institute of Mathematical Statistics textbooks, 8.
Responsibility: Geoffrey Grimmett, Statistical Laboratory, University of Cambridge.

Abstract:

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  Read more...

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