MA 397: Topics in Rigorous Statistical Mechanics
Credits: 3:0
We shall cover a selection of topics in probability theory coming from statistical physics models on the Euclidean lattice. A few possible examples of the models include: Ising model, O(N) model, Gaussian free field, contact process, voter model and exclusion processes.
Pre-requisites: This course will be aimed at Int-Ph.D. and PhD students working in probability theory and related areas. A course in graduate probability theory is useful, but not absolutely necessary. A student with a strong undergraduate background in probability (i.e., without measure theory) might also find this course accessible.
Suggested books and references:
- Frideli and Velenik, Statistical Mechanics of Lattice Systems, Cambridge University Press, 2017.
- Liggett, Interacting Particle Systems, Springer, 1985.