Percolation Theory and Ergodic Theory of Infinite Particle Systems
By: edited by Harry Kesten
Series: The IMA Volumes in Mathematics and Its Applications -- 8; IMA volumes in mathematics and its applications -- 8.
Publisher: Springer New York
Published: 1987
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 323
ISBN-13: 9781461387367; 9781461387343
Subjects: Mathematics; Distribution (Probability theory)
Description: This is the eighth volume (out of a projected ten) with papers which appeared during the "Stochastic Equations and Their Applications" year (1985-1986) at the Institute for Mathematics and its Applications at the University of Minnesota. This volume, which is directed towards researchers in applied mathematics, engineering, and physics, contains contributions by: M. Aizeman, R. Holley, M. Bramson, D. Griffeath, D.C. Brydges, J.T. Chayes, L. Chayes, J.T. Cox, R. Durrett, R.H. Schonmann, S. Goldstein, L. Gray, J.W. Halley, R. Holley, H. Kesten, T.M. Leggett, C.M. Newman, H.E. Stanley, D. Stauffer, and J.C. Wierman.
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Table of contents: title: Rapid Convergence to Equilibrium of Stochastic Ising Models in the Dobrushin Shlosman Regime; title: Uniqueness of the Infinite Cluster and Related Results in Percolation; title: Survival of Cyclical Particle Systems; title: Expansions in Statistical Mechanics as Part of the Theory of Partial Differential Equations; title: The Mean Field Bound for the Order Parameter of Bernoulli Percolation; title: Recent Results for the Stepping Stone Model; title: Stochastic Growth Models; title: Random Walks and Diffusions; title: The Behavior of Processes with Statistical Mechanical Properties; title: Stiff Chains and Levy Flight: Two Self Avoiding Walk Models and the Uses of Their Statistical Mechanical Representations; title: One Dimensional Stochastic Ising Models; title: A Scaling Relation at Criticality for 2D-Percolation; title: Reversible Growth Models on Zd: Some Examples; title: Inequalities for and Related Critical Exponents in Short and Long Range Percolation; title: A New Look at Contact Processes in Several Dimensions; title: Fractal and Multifractal Approaches to Percolation: Some Exact and Not-So-Exact Results; title: Surface Simulations for Large Eden Clusters; title: Duality for k-Degree Percolation on the Square Lattice.