Particle Systems, Random Media and Large Deviations.

Intro -- 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 -- 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 -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.