MATH 253X Spin systems (Spring 2016)

Time: Tuesday and Thursday, 10-11:30am

Classical spin systems generalize the Ising model to a general number of components and general spin distributions. They are fundamental models of phase transitions.

Topics discussed in this course include methods to proof of the existence of phase transitions, reflection positivity, continuous symmetry, methods based on convexity, random walk representations, correlation inequalities, and the relation of spin systems to the self-avoiding walk.

Prerequisites: measure theoretic probability

There is no general textbook. Relevant references and lecture notes will be posted here.

Notes (periodically updated)

The precise content will depend on the interests of the audidence. A tentative schedule is: