The Random-Cluster Model

von

Grimmett, Geoffrey R.

BuchKartoniert, Paperback

CHF126.00

Buch

CHF126.00

In den Warenkorb

Beschreibung

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.

Weitere Beschreibungen

Details

ISBN/GTIN978-3-642-06943-7

ProduktartBuch

EinbandKartoniert, Paperback

Verlag

Springer Nature EN

Springer

Erscheinungsdatum17.11.2010

AuflageSoftcover reprint of hardcover 1st ed. 2006

ReiheGrundlehren der mathematischen Wissenschaften

Reihen-Nr.333

Seiten378 Seiten

SpracheEnglisch

MasseBreite 155 mm, Höhe 235 mm

Gewicht605 g

Artikel-Nr.1905740

KatalogBuchzentrum

Datenquelle-Nr.10493698

Weitere Details

Reihe

Arithmetical Functions

Foundations of Modern Potential Theory

Random Perturbations of Dynamical Systems

Continuous Martingales and Brownian Motion

Calculus of Variations I

Calculus of Variations II

Metric Spaces of Non-positive Curvature

Algebraic Number Theory

Cohomology of Number Fields

Hyperbolic Conservation Laws in Continuum Physics

Perfect Lattices in Euclidean Spaces

Galois Theory of Linear Differential Equations

Variational Analysis and Generalized Differentiation I

Variational Analysis and Generalized Differentiation II

Categories and Sheaves

The Random-Cluster Model

Deformations of Algebraic Schemes

The Local Langlands Conjecture for GL(2)

Optimal Transport

Minimal Surfaces

Sobolev Spaces

p-Adic Lie Groups

Fluctuations in Markov Processes

Poisson Structures

Analysis and Geometry of Markov Diffusion Operators

Metastability

Quantitative Stochastic Homogenization and Large-Scale Regularity

Graphs and Discrete Dirichlet Spaces

Lagerungen

Topology and Geometry of Intersections of Ellipsoids in R^n

Surgery Theory

Autor

Grimmett, Geoffrey R.

PhD (Oxford 1974) under supervision of John Hammersley and Dominic Welsh. Member of the Mathematics Department of Bristol University (1976-1992), and subsequently appointed to the Professorship of Mathematics Statistics at Cambridge University. Author of around 100 articles and five books in probability and related fields, including Percolation (Springer 1999), Probability and Random Processes (with David Stirzaker, Oxford University Press 2001). Managing Editor of "Probability Theory and Related Fields", 2001-2005.