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Author AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematics of Phase Transitions (1984 : Bowdoin College)

Title Particle systems, random media, and large deviations / Richard Durrett, editor
Published Providence, R.I. : American Mathematical Society, ©1985
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Description 1 online resource (ix, 380 pages) : illustrations
Series Contemporary mathematics, 0271-4232 ; v. 41
Contemporary mathematics (American Mathematical Society) ; v. 41
Contents Table of Contents -- Introduction -- Inequalities for critical probabilities in percolation -- Random tubes as a model of pair correlations -- Large deviations for some infinite particle system occupation times -- Function-valued duals for measure-valued processes and applications -- Invariance principle for reversible Markov processes with application to diffusion in the percolation regime -- Stochastic growth models: Ten problems for the 80's (and 90's) -- Large deviations and statistical mechanics -- Nonergodic one-dimensional media and reliable computation
Disordered Ising ferromagnets and percolation -- The critical behavior of a class of simple interacting systems -- a few answers and a lot of questions -- Phase transition for a class of Markov processes on (N)S -- Large deviations in subadditive processes and first-passage percolation -- 1. Introduction -- 2. Probability and Operations Research -- 3. Subadditive Processes -- 4. First-Passage Percolation -- 5. Random Electrical Networks -- Reference -- Random media and selfdiffusion of interacting particles -- A weak version of the RSW for the two-dimensional Ising model
Hydrodynamics of a one-dimensional nearest neighbor model -- Decay rates of Green's functions for the Schrodinger operator -- Diffusions with random coefficients -- Disjoint occurrences of events: Results and conjectures -- Duality for directed site percolation
Possible rates of convergence in finite range, attractive spin systems -- First-passage percolation and a higher dimensional generalization -- Using random matrices to give recurrence and trancience criteria for random walk in a random environment -- Recent results on the movement of a tagged particle in simple exclusion -- On the inverse problem for random Schrödinger operators -- Intersections of simple random walks -- A process in a randomly fluctuating environment -- Infinite chains and clusters in one dimensional directed and undirected percolation -- On the Shannon-Perez-Moy Theorem
Notes "Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematics of Phase Transitions, held at Bowdoin College, June 24-30, 1984"--Title page verso
Bibliography Includes bibliographical references
Subject Particle dynamics -- Congresses
Phase transformations (Statistical physics) -- Congresses.
Stochastic processes -- Congresses.
Particle dynamics.
Phase transformations (Statistical physics)
Stochastic processes.
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Durrett, Richard, 1951-
American Mathematical Society.
Institute of Mathematical Statistics.
Society for Industrial and Applied Mathematics.
ISBN 0821853937
0821876260
9780821853931
9780821876268