Dawson, D. <br/><br/>
Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions. 

 - 1st ed. 
 - 1 online resource (102 pages) 
 - Memoirs of the American Mathematical Society ;  v.78 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470408183 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Phase transformations (Statistical physics).<br/>Tunneling (Physics).<br/>Limit theorems (Probability theory).<br/>Large deviations.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA3 -- .D397 1989eb 
<br/><br/><label>Dewey Class. No.: </label>519.2