A view on Percolation and Spin Systems

Exposition on the whiteboard, but the lecture notes I wrote up are at this link [PDF].
To access the presentation with accompanying images, please click [PDF].

Done in fullfillment of the Ph.D. Course Graph Theory@Bocconi. The image is a simulation of the Potts Model by V. Beffara, appearing in the main source of the lecture notes.

Abstract of the talk

This (long) talk is an introduction to the connections between percolation models and spin systems via the random cluster model. A brief discussion of its advantage in terms of derivation of innovative results in the field is also present.