**Title of the course:** Statistical Mechanical Models on the Lattice

**Instructor:** Mr. Arif Mardin

**Institution:** -

**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.

**Language: **EN

**Textbook:**

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.