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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dawson, Donald A. (Donald Andrew), 1937- (Autor), Gärtner, J. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island, United States : Asian Development Bank, 1989.
Colección:Memoirs of the American Mathematical Society ; Volume 78, no. 398.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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