Scaling limits for percolated random planar maps
Seminar | February 14 | 3:10-4 p.m. | 1011 Evans Hall
Nina Holden, Concordia University
The Schramm-Loewner evolution (SLE) is a family of random fractal curves, which is the proven or conjectured scaling limit of a variety of two-dimensional lattice models in statistical mechanics. Liouville quantum gravity (LQG) is a model for a random surface which is the proven or conjectured scaling limit of discrete surfaces known as random planar maps (RPM). We prove scaling limit results for percolation-decorated RPM to SLE-decorated LQG. Based on joint works with Bernardi, Garban, Gwynne, Lawler, Li, Sepulveda, and Sun.