Introduction to percolation theory

In the classical mathematical theory of percolation, the edges (or vertices) of an infinite lattice are deleted independently with probability 1-p, and properties of the remaining components are studied. Despite its simple description, this model captures a variety of phenomena, including structural phase transition, self-similarity, universality. It has been used in studies of materials, social and computer networks, epidemic spreading. This course will provide an introduction to the subject of percolation, focusing on basic results and techniques.

Date and time info
Thursday 13:15 - 14:45

Keywords
Phase transition, correlation inequalities, coarse graining, number of infinite components, Russo-Seymour-Welsh theory, conformal invariance of the scaling limit

Prerequisites
Basic knowledge of probability

Audience
undergraduate students, PhD students, Postdocs

Language
English