Extrema of log-correlated random variables: Principles and Examples

Understand

These notes were written for the mini-course "Extrema of log-correlated random variables: Principles and Examples" at the Introductory School held in January 2015 at the Centre International de Rencontres Math\'ematiques in Marseille.

• There have been many advances in the understanding of the high values of log-correlated random fields from the physics and mathematics perspectives in recent years.
• These fields admit correlations that decay approximately like the logarithm of the inverse of the distance between index points.
• Examples include branching random walks and the two-dimensional Gaussian free field.