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Kniha Probability on Graphs Geoffrey Grimmett

Probability on Graphs

Random Processes on Graphs and Lattices

Autor: Geoffrey Grimmett
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Cambridge University Press
Dostupnost: Očekávaný dotisk
Termín neznámý
2 958 Kč
This introduction to some of the principal models in the theory of disordered systems leads the read...

Informace o knize

Autor
Geoffrey Grimmett
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2010
Stránek
260
EAN
9780521197984
ISBN
0521197988
Enbook ID
04378402
Vydavatel
Cambridge University Press
Hmotnost
506
Rozměry
162 x 237 x 20

Kompletní popis

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.

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