Title of the course: Statistical Mechanical Models on the Lattice
Instructor: Mr. Arif Mardin
Dates: 3-9 September 2018
Prerequisites: Some familiarity with random walk models on the lattice in d-dimensional space and discrete probabilistic models would be helpful. Basic notions of equilibrium statistical mechanics at the undergraduate level should also be useful.
Level: Advanced undergraduate, graduate
Abstract: The aim of this course is to offer a mathematically rigorous introduction to the Ising, percolation and self-avoiding walk models on the lattice in d-dimensional space. The course will focus on some of the important results obtained until now and the methods used to achieve them.
C.J.Thompson: "Mathematical Statistical Mechanics", Princeton University Press, 1980.
Friedli, S. and Velenik, Y.: "Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction", Cambridge University Press, 2017.
G. Grimmett: "Percolation", 2nd edn., Springer Verlag, 1999.
Madras, N. and Slade, G.: "The Self-Avoiding Walk", Birkhäuser, 1993.