Title: Brownian excursions and critical percolation on the discrete torus

Abstract: We show that critical percolation clusters on the discrete torus (Z_n)^d, where d is a large, fixed constant, scale as n tends to infinity to excursion sizes of Brownian motion with parabolic drift above its past minimum.

Based on joint work with Arthur Blanc-Renaudie.

Livestream/Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=a3134545-d271-41d6-9310-b2a500675717