Probability on Graphs

Random Processes on Graphs and Lattices

Nonfiction, Science & Nature, Mathematics, Applied, Statistics
Cover of the book Probability on Graphs by Geoffrey Grimmett, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Geoffrey Grimmett ISBN: 9781139035835
Publisher: Cambridge University Press Publication: June 24, 2010
Imprint: Cambridge University Press Language: English
Author: Geoffrey Grimmett
ISBN: 9781139035835
Publisher: Cambridge University Press
Publication: June 24, 2010
Imprint: Cambridge University Press
Language: English

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. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. 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.

More books from Cambridge University Press

Cover of the book The Cambridge Introduction to Early Modern Drama, 1576–1642 by Geoffrey Grimmett
Cover of the book The Australian Judiciary by Geoffrey Grimmett
Cover of the book Social and Political Foundations of Constitutions by Geoffrey Grimmett
Cover of the book The French Army and the First World War by Geoffrey Grimmett
Cover of the book A History of American Civil War Literature by Geoffrey Grimmett
Cover of the book SBAs for the FRCR 2A by Geoffrey Grimmett
Cover of the book Behind the 1953 Coup in Iran by Geoffrey Grimmett
Cover of the book Discriminant Equations in Diophantine Number Theory by Geoffrey Grimmett
Cover of the book Quantum Computing for Computer Scientists by Geoffrey Grimmett
Cover of the book Nurturing Creativity in the Classroom by Geoffrey Grimmett
Cover of the book Bramante's Tempietto, the Roman Renaissance, and the Spanish Crown by Geoffrey Grimmett
Cover of the book What is Life? On Earth and Beyond by Geoffrey Grimmett
Cover of the book The Cambridge Companion to Victorian Culture by Geoffrey Grimmett
Cover of the book The Separation of Powers in the Contemporary Constitution by Geoffrey Grimmett
Cover of the book Essentials of Programming in Mathematica® by Geoffrey Grimmett
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy