This is a Taught Course Centre module.
Lectures: Tuesday, 9-11 am (in room B0.06)
First lecture: Tuesday 16th October. Note: extra lecture Friday 19th October 12-14 h.
Content: Large deviations; Gibbs measure (statistical mechanics); mathematics of phase transitions
Lecture 1: Introduction and Cramer's theorem
Lecture 2: Cramer's theorem and Sanov's theorem
Material (Lecture Notes):
 A. Dembo & O. Zeitouni, Large Deviations Techniques and Applications, 2nd ed., Springer New York (1998).
 F. d. Hollander, Large Deviations, AMS (2000).
 E. Olivieri & M.E. Vares, Large Deviations and Metastability, Cambridge University Press (2005).
 C.-E. Pfister, Thermodynamical aspects of classical lattice systems. In In and Out of Equilibrium. Probability with a Physics Flavor, ed. V. Sidoravicius. Progress in Probability 51, 393-472, Birkhäuser Basel (2002).
 H.O. Georgii, Large Deviations and Maximum Enrtopy Principle For Interacting Random fields on $ \Z^d$ , Annals of Probability Vol. 21, 1845-1875, (1993).