Particle systems, random media, and large deviations / / Richard Durrett, editor

• Record Nr.: UNINA9910818823603321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1985]; ©1985
• ISBN: 0-8218-7626-0; 0-8218-5042-3
• Descrizione fisica: 1 online resource (394 p.)
• Collana: Contemporary mathematics, , 0271-4232 ; ; volume 41
• Disciplina: 519.2
• Soggetti: Stochastic processes; Dynamics of a particle; Phase transformations (Statistical physics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "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.
• Nota di bibliografia: Includes bibliographies.
• Nota di contenuto: ""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""; ""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""