Title Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions / D.A. Dawson and J. Gärtner

Published Providence, Rhode Island, United States : Asian Development Bank, 1989 ©1989

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Description 1 online resource (102 pages) Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 78, Number 398 Memoirs of the American Mathematical Society ; Volume 78, no. 398. Contents Contents -- 1. Introduction -- 2. The mean field model. Basic notation -- 3. Main results -- 3.1 The equilibrium behavior -- 3.2 The dynamical behavior -- 3.3 Quasipotential and free energy functional -- 4. Large deviations for the invariant distributions -- 5. Quasipotential and free energy functional for non-interacting systems -- 5.1 Transition operators, Doeblin's condition, and exponential F[sup(0)] -convergence to equilibrium -- 5.2 The quasipotential -- 6. Quasipotential and free energy functional for interacting systems 6.1 Recurrence properties of the empirical process6.2 Transition probability functions and Doeblin's condition -- 6.3 The quasipotential -- References Notes "March 1989, Volume 78, Number 398 (first of 3 numbers)"--Cover Bibliography Includes bibliographical references Notes English Print version record Subject Phase transformations (Statistical physics) Tunneling (Physics) Limit theorems (Probability theory) Large deviations. Large deviations Limit theorems (Probability theory) Phase transformations (Statistical physics) Tunneling (Physics) Form Electronic book Author Gärtner, J., author ISBN 9781470408183 147040818X

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