LEADER 02854nam 2200613 450 001 9910812428203321 005 20170816143313.0 010 $a1-4704-0818-X 035 $a(CKB)3360000000464582 035 $a(EBL)3113897 035 $a(SSID)ssj0000889029 035 $a(PQKBManifestationID)11465754 035 $a(PQKBTitleCode)TC0000889029 035 $a(PQKBWorkID)10875979 035 $a(PQKB)11070319 035 $a(MiAaPQ)EBC3113897 035 $a(RPAM)1506846 035 $a(PPN)195412818 035 $a(EXLCZ)993360000000464582 100 $a20140903h19891989 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLarge deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions /$fD. A. Dawson and J. Ga?rtner 210 1$aProvidence, Rhode Island, United States :$cAsian Development Bank,$d1989. 210 4$dİ1989 215 $a1 online resource (102 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 78, Number 398 300 $a"March 1989, Volume 78, Number 398 (first of 3 numbers)"--Cover. 311 $a0-8218-2461-9 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""6.1 Recurrence properties of the empirical process""""6.2 Transition probability functions and Doeblin's condition""; ""6.3 The quasipotential""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 78, Number 398. 606 $aPhase transformations (Statistical physics) 606 $aTunneling (Physics) 606 $aLimit theorems (Probability theory) 606 $aLarge deviations 615 0$aPhase transformations (Statistical physics) 615 0$aTunneling (Physics) 615 0$aLimit theorems (Probability theory) 615 0$aLarge deviations. 676 $a519.2 700 $aDawson$b Donald A$g(Donald Andrew),$f1937-$065891 702 $aGa?rtner$b J. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812428203321 996 $aLarge deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions$93971597 997 $aUNINA