The Random Cluster Model PDF Download
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Author | : Geoffrey R. Grimmett |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 2006-12-13 |
Genre | : Mathematics |
ISBN | : 3540328912 |
Download The Random-Cluster Model Book in PDF, ePub and Kindle
The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
Author | : Geoffrey Grimmett |
Publisher | : Springer Verlag |
Total Pages | : 377 |
Release | : 2006-01-01 |
Genre | : Mathematics |
ISBN | : 9783540328902 |
Download The Random-Cluster Model Book in PDF, ePub and Kindle
The random-cluster model has emerged in recent years as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. This systematic study includes accounts of the subcritical and supercritical phases, together with clear statements of important open problems. There is an extensive treatment of the first-order (discontinuous) phase transition, as well as a chapter devoted to applications of the random-cluster method to other models of statistical physics.
Author | : Geoffrey R. Grimmett |
Publisher | : Springer |
Total Pages | : 378 |
Release | : 2009-09-02 |
Genre | : Mathematics |
ISBN | : 9783540821588 |
Download The Random-Cluster Model Book in PDF, ePub and Kindle
The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
Author | : |
Publisher | : |
Total Pages | : 18 |
Release | : 1998 |
Genre | : |
ISBN | : |
Download The Random Cluster Model on a General Graph and a Phase Transition Characterization of Nonamendability Book in PDF, ePub and Kindle
Author | : Geoffrey Grimmett |
Publisher | : Cambridge University Press |
Total Pages | : 279 |
Release | : 2018-01-25 |
Genre | : Mathematics |
ISBN | : 1108542999 |
Download Probability on Graphs Book in PDF, ePub and Kindle
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.
Author | : Cornelis Marius Fortuin |
Publisher | : |
Total Pages | : 116 |
Release | : 1971 |
Genre | : |
ISBN | : |
Download On the Random-cluster Model Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download Connectivity Properties of the Random-cluster Model Book in PDF, ePub and Kindle
Author | : Johan Jonasson |
Publisher | : |
Total Pages | : 18 |
Release | : 1998 |
Genre | : |
ISBN | : |
Download The Random Cluster Model on an General Graph and a Phase Transition Characterization of Nonamenability Book in PDF, ePub and Kindle
Author | : Darion Mayes |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : |
ISBN | : |
Download The Random Cluster Model on Finite Graphs Book in PDF, ePub and Kindle
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.