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

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Dawson, Donald A. (Donald Andrew), 1937- (Author), Gärtner, J. (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island, United States : Asian Development Bank, 1989.
Series:Memoirs of the American Mathematical Society ; Volume 78, no. 398.
Subjects:
Phase transformations (Statistical physics)
Tunneling (Physics)
Limit theorems (Probability theory)
Large deviations.
Transitions de phase.
Effet tunnel.
Théorèmes limites (Théorie des probabilités)
Grandes déviations.
Large deviations
Online Access:Texto completo
Table of 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

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