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Probability on Graphs: Random Processes on Graphs and Lattices
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Probability on Graphs: Random Processes on Graphs and Lattices Paperback - 2010 - 1st Edition

by Geoffrey Grimmett

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Reader reviews for Probability on Graphs: Random Processes on Graphs and Lattices

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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-Lwner 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.

Details

  • Title Probability on Graphs: Random Processes on Graphs and Lattices
  • Author Geoffrey Grimmett
  • Binding Paperback
  • Edition number 1st
  • Edition 1
  • Pages 260
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 2010-08
  • ISBN 9780521147354 / 0521147352
  • Weight 0.93 lbs (0.42 kg)
  • Dimensions 8.94 x 5.91 x 0.59 in (22.71 x 15.01 x 1.50 cm)
  • Category Mathematics
  • Dewey Decimal Code 511.5

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Probability on Graphs: Random Processes on Graphs and Lattices (Institute of Mathematical...
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Probability on Graphs: Random Processes on Graphs and Lattices (Institute of Mathematical Statistics Textbooks, Series Number 1)

by Grimmett, Geoffrey

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ISBN 10 / ISBN 13
9780521147354 / 0521147352
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paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
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Item price
A$167.58
Free Delivery to USA