http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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 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.
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.
IMA volumes in mathematics and its applications ; 8