Some resources

There is no general rule on what is included here. Ones that I have actually used and can recommend are bolded.

Blogs

inordinatum - Physics and Mathematics of Disordered Systems

Percolation

Tassion - ETH Zürich Percolation Theory Autumn 2020

Duminil-Copin - Introduction to Bernoulli percolation
Note that there is another version on his IHES website, which is not the most recent version. In particular, Exercise 17 is incorrect in the 2018 version.

Ariel Yadin - an introduction to percolation

Brownian geometry

Grégory Miermont - Random Planar Maps
Best enjoyed with his Saint-Flour lecture notes
Some timestamps:
CVS bijection produces quadrangulations
Converse of CVS bijection - BDG bijection
Upper bound for metrics in the quadragulation

Dauvergne - The 27 geodesic networks in the directed landscape
Section 1.5 is an interesting read.

2D Discrete Statistical Physics

Chelkak - CONFORMAL INVARIANCE IN 2D STATISTICAL PHYSICS

Hao Wu - Conformal Invariance of 2D Lattice Models
Video lectures in Chinese

Schramm-Loewner Evolutions

Mads Bonde Raad’s Master’s Thesis

Kemppainen - Schramm–Loewner Evolution
For a very quick introduction to SLE. There are some gaps in the text but filling them in is a good exercise, or one can use AI. I have not been able to locate the Appendix.

Berestycki & Norris - Schramm-Loewner Evolution
Note there there is an older version on Norris’s website (scroll to bottom) with example sheets.

Lawler - The Laplacian-b random walk and the Schramm-Loewner evolution
Interesting paper, also remarked on by Miller and Sheffield in Quantum Loewner evolutions. Another related paper is I knew I should have taken that left turn at Albuquerque by Kozma and Yadin.