Probability and Phase Transition

Proceedings of the NATO Advanced Study Institute on Probability Theory of Spatial Disorder and Phase Transition, Cambridge, U. K., July 4-16, 1993

By: G.R. Grimmett (Editor)

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Hardcover | 1 January 1994

At a Glance

Hardcover
344 Pages

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24.77 x 17.15 x 2.54

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This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability.
The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Stochastics Science Physics Mathematical Physics Probability & Statistics Thermodynamics & Heat Statistical Physics

Preface
List of Participants
Exact steady state properties of the one dimensional asymmetric exclusion model	p. 1
Droplet condensation in the Ising model: moderate deviations point of view	p. 17
Shocks in one-dimensional processes with drift	p. 35
Self-organization of random cellular automata: four snapshots	p. 49
Percolative problems	p. 69
Mean-field behaviour and the lace expansion	p. 87
Long time tails in physics and mathematics	p. 123
Multiscale analysis in disordered systems: percolation and contact process in a random environment	p. 139
Geometric representation of lattice models and large volume asymptotics	p. 153
Diffusion in random and non-linear PDE's	p. 177
Random walks, harmonic measure, and Laplacian growth models	p. 191
Survival and coexistence in interacting particle systems	p. 209
Constructive methods in Markov chain theory	p. 227
A stochastic geometric approach to quantum spin systems	p. 237
Disordered Ising systems and random cluster representations	p. 247
Planar first-passage percolation times are not tight	p. 261
Theorems and conjectures on the droplet-driven relaxation of stochastic Ising models	p. 265
Metastability for Markov chains: a general procedure based on renormalization group ideas	p. 303
Table of Contents provided by Blackwell. All Rights Reserved.

Probability and Phase Transition

Proceedings of the NATO Advanced Study Institute on Probability Theory of Spatial Disorder and Phase Transition, Cambridge, U. K., July 4-16, 1993

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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