The Random Cluster Model
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The Random Cluster Model
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-13
The Random Cluster Model written by Geoffrey R. Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-13 with Mathematics categories.
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.
The Random Cluster Model
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer
Release Date : 2009-09-02
The Random Cluster Model written by Geoffrey R. Grimmett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.
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.
The Random Cluster Model
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Author : Geoffrey Grimmett
language : en
Publisher: Springer Verlag
Release Date : 2006-01-01
The Random Cluster Model written by Geoffrey Grimmett and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
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.
The Random Cluster Model On A General Graph And A Phase Transition Characterization Of Nonamendability
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Author :
language : en
Publisher:
Release Date : 1998
The Random Cluster Model On A General Graph And A Phase Transition Characterization Of Nonamendability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Random Cluster Model On The Tree
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Author : Sam Finch
language : en
Publisher:
Release Date : 2010
The Random Cluster Model On The Tree written by Sam Finch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Probability On Graphs
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Author : Geoffrey Grimmett
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25
Probability On Graphs written by Geoffrey Grimmett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.
A user-friendly introduction for mathematicians to some of the principal stochastic models near the interface of probability and physics.
Cluster Models And Other Topics
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Author : Y Akaishi
language : en
Publisher: World Scientific
Release Date : 1987-02-01
Cluster Models And Other Topics written by Y Akaishi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-02-01 with categories.
This volume consists of contributions from some of Japan's most eminent nuclear theorists. The cluster model of the nucleus is discussed pedagogically and the current status of the field is surveyed. A contribution on Monte Carlo Methods and Lattice Gauge Theories gives nuclear theorists a glimpse of related developments in QCD and Gauge Theories. Few Body Systems are reviewed by Y Akaishi, paying special attention to the ATMS Multiple Scattering Method. Contents:Cluster Model of the Nucleus (H Horiuchi & K Ikeda)Few-Body System in Realistic Interaction (Y Akaishi)A Primer in Monte Carlo Methods and Lattice Gauge Theories (S A Chin) Readership: Nuclear physicists. Keywords:Cluster Models;Few-Body System;Monte Carlo;Lattice Gauge Theories
Random Graph Dynamics
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Author : Rick Durrett
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-31
Random Graph Dynamics written by Rick Durrett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-31 with Mathematics categories.
The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.
Sojourns In Probability Theory And Statistical Physics Ii
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Author : Vladas Sidoravicius
language : en
Publisher: Springer Nature
Release Date : 2019-10-17
Sojourns In Probability Theory And Statistical Physics Ii written by Vladas Sidoravicius and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-17 with Mathematics categories.
Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.
Percolation
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Percolation written by Geoffrey R. Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.