02854nam 2200613 450 991081242820332120170816143313.01-4704-0818-X(CKB)3360000000464582(EBL)3113897(SSID)ssj0000889029(PQKBManifestationID)11465754(PQKBTitleCode)TC0000889029(PQKBWorkID)10875979(PQKB)11070319(MiAaPQ)EBC3113897(RPAM)1506846(PPN)195412818(EXLCZ)99336000000046458220140903h19891989 uy 0engur|n|---|||||txtccrLarge deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions /D. A. Dawson and J. GärtnerProvidence, Rhode Island, United States :Asian Development Bank,1989.©19891 online resource (102 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 78, Number 398"March 1989, Volume 78, Number 398 (first of 3 numbers)"--Cover.0-8218-2461-9 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 78, Number 398.Phase transformations (Statistical physics)Tunneling (Physics)Limit theorems (Probability theory)Large deviationsPhase transformations (Statistical physics)Tunneling (Physics)Limit theorems (Probability theory)Large deviations.519.2Dawson Donald A(Donald Andrew),1937-65891Gärtner J.MiAaPQMiAaPQMiAaPQBOOK9910812428203321Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions3971597UNINA