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Record Nr. |
UNINA9910480579303321 |
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Autore |
Dawson Donald A (Donald Andrew), <1937-> |
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Titolo |
Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions / / D. A. Dawson and J. Gärtner |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : Asian Development Bank, , 1989 |
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©1989 |
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ISBN |
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Descrizione fisica |
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1 online resource (102 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 78, Number 398 |
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Disciplina |
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Soggetti |
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Phase transformations (Statistical physics) |
Tunneling (Physics) |
Limit theorems (Probability theory) |
Large deviations |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 1989, Volume 78, Number 398 (first of 3 numbers)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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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