Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions / / D. A. Dawson and J. Gärtner

• Autore: Dawson Donald A (Donald Andrew), <1937->
• Pubblicazione: Providence, Rhode Island, United States : , : Asian Development Bank, , 1989; ©1989
• Descrizione fisica: 1 online resource (102 p.)
• Disciplina: 519.2
• Soggetto topico: Phase transformations (Statistical physics); Tunneling (Physics); Limit theorems (Probability theory); Large deviations
• Persona (resp. second.): GärtnerJ
• Note generali: "March 1989, Volume 78, Number 398 (first of 3 numbers)"--Cover.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""
• Titolo autorizzato: Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions
• ISBN: 1-4704-0818-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910812428203321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 78, Number 398.