Fields Academy Shared Graduate Course: Topics in Probability: Statistical Mechanics of Lattice Models
Description
Registration Deadline: January 24, 2027
Instructor: Professor Benjamin Landon, University of Toronto
Course Dates:
Mid-Semester Break:
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Office Hours:
Registration Fee:
- Students from our Principal Sponsoring & Affiliate Universities: Free
- Other Students: CAD$500
Capacity Limit:
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Course Description
A rigorous introduction to the statistical mechanics of spin systems on the lattice, such as the Ising and O(N) models. Phase transitions, high temperature and low temperature expansions. Behaviour at the critical point. Correlation inequalities. Triviality in high dimensions.
Prerequisites: Graduate probability
Textbooks:
- S. Friedli. and Y. Velenik, Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction.
- Roland Bauerschmidt's lecture notes on spin systems.


