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Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1989Copyright date: ©1989Edition: 1st edDescription: 1 online resource (102 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408183
Subject(s): Genre/Form: Additional physical formats: Print version:: Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting DiffusionsDDC classification:
  • 519.2
LOC classification:
  • QA3 -- .D397 1989eb
Online resources:
Contents:
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.
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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.

Description based on publisher supplied metadata and other sources.

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

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