Materials for a course on
Extremal properties of the random walk local time
Alfréd Rényi Institute, Budapest, January 20-24, 2025
Lecture notes:
Lecture 1: Introduction and main results
Lecture 2: Scaling of the Green function and connection to GFF
Lecture 3: Thick points of Discrete Gaussian Free Field
Lecture 4: Points avoided by random walk
The full notes are now available on arXiv.