After successful completion of the course, students are able to work by themselves with original literature in the field of probabiliy theory and to present the results and discuss them with a group of peers.
Chosen topics in statistical mechanics, including: percolation, Ising model, O(n) model, interacting particle systems...
Topics will be taken mostly from: : R. Peled and Y. Spinka, Lectures on spin and loop O(n) models, arXiv:1708.00058 and from G. Grimmett, "Probability on Graphs", Cambridge University Press, 2018
Introduction by the lecturer, and presentations by the students
Presentation
Not necessary