Percolation Theory and Ergodic Theory of Infinite Particle Systems /

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 i...

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Bibliographic Details
Main Author: Kesten, Harry
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1987.
Series:IMA volumes in mathematics and its applications ; 8.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Rapid Convergence to Equilibrium of Stochastic Ising Models in the Dobrushin Shlosman Regime
  • Uniqueness of the Infinite Cluster and Related Results in Percolation
  • Survival of Cyclical Particle Systems
  • Expansions in Statistical Mechanics as Part of the Theory of Partial Differential Equations
  • The Mean Field Bound for the Order Parameter of Bernoulli Percolation
  • Recent Results for the Stepping Stone Model
  • Stochastic Growth Models
  • Random Walks and Diffusions
  • The Behavior of Processes with Statistical Mechanical Properties
  • Stiff Chains and Levy Flight: Two Self Avoiding Walk Models and the Uses of Their Statistical Mechanical Representations
  • One Dimensional Stochastic Ising Models
  • A Scaling Relation at Criticality for 2D-Percolation
  • Reversible Growth Models on Zd: Some Examples
  • Inequalities for and Related Critical Exponents in Short and Long Range Percolation
  • A New Look at Contact Processes in Several Dimensions
  • Fractal and Multifractal Approaches to Percolation: Some Exact and Not-So-Exact Results
  • Surface Simulations for Large Eden Clusters
  • Duality for k-Degree Percolation on the Square Lattice.