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Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions

About this Title

D. A. Dawson and J. Gärtner

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 78, Number 398
ISBNs: 978-0-8218-2461-0 (print); 978-1-4704-0818-3 (online)
DOI: https://doi.org/10.1090/memo/0398
MathSciNet review: 989931
MSC: Primary 60J60; Secondary 60F10, 60H15, 60K35, 82A05

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Table of Contents

Chapters

  • 1. Introduction
  • 2. The mean field model. Basic notation
  • 3. Main results
  • 4. Large deviations for the invariant distributions
  • 5. Quasipotential and free energy functional for non-interacting systems
  • 6. Quasipotential and free energy functional for interacting systems