TY  - BOOK
AU  - Dawson,D.
AU  - Gartner,J.
TI  - Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408183
AV  - QA3 -- .D397 1989eb 
U1  - 519.2 
PY  - 1989///
CY  - Providence
PB  - American Mathematical Society
KW  - Phase transformations (Statistical physics)
KW  - Tunneling (Physics)
KW  - Limit theorems (Probability theory)
KW  - Large deviations
KW  - Electronic books
N1  - Intro -- 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113897
ER  -