Lecturer

Vincent Tassion

Abstract

In this course we will provide a general introduction to the Ising model on the hypercubic lattice \(\mathbf Z^d\) (main properties, standard mathematical tools).

Prerequisites

• Probability Theory

Lecture Notes

• Ising Model

The new exercises will be posted here each Friday.

• Sheet 1
• Sheet 2
• Sheet 3
• Sheet 4
• Sheet 5
• Sheet 6

• Lectures on the Ising and Potts models on the hypercubic lattice Lecture notes, Hugo Duminil-Copin.
• Le modèle d'Ising. Lecture notes (in French), Ivan Velenik.
• Statistical Mechanics of Lattice Systems: a Concrete Mathematical Introduction Book, Sacha Friedli and Yvan Velenik.