Artem Sapozhnikov: Introduction to percolation theory

  • Lecturer: Artem Sapozhnikov
  • Date: Thursday 13:15 - 14:45
  • Room: Leipzig University, Augusteum, room A-314
  • Language: English
  • Target audience: undergraduate students, PhD students, Postdocs
  • 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.


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.

Regular Lectures (Summer 2019)

07.05.2019, 09:16