Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions.
Dawson, D.
Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions. - 1st ed. - 1 online resource (102 pages) - Memoirs of the American Mathematical Society ; v.78 . - Memoirs of the American Mathematical Society .
Intro -- 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 process -- 6.2 Transition probability functions and Doeblin's condition -- 6.3 The quasipotential -- References.
9781470408183
Phase transformations (Statistical physics).
Tunneling (Physics).
Limit theorems (Probability theory).
Large deviations.
Electronic books.
QA3 -- .D397 1989eb
519.2
Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions. - 1st ed. - 1 online resource (102 pages) - Memoirs of the American Mathematical Society ; v.78 . - Memoirs of the American Mathematical Society .
Intro -- 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 process -- 6.2 Transition probability functions and Doeblin's condition -- 6.3 The quasipotential -- References.
9781470408183
Phase transformations (Statistical physics).
Tunneling (Physics).
Limit theorems (Probability theory).
Large deviations.
Electronic books.
QA3 -- .D397 1989eb
519.2