March 26, 2025
Billingsley Lecture (May 8):
Scaling limits of random planar maps
Abstract:
Planar maps are graphs embedded in the sphere such that no two edges cross, where we view two planar maps as equivalent if we can get one from the other via a continuous deformation of the sphere. In this talk we will present scaling limit results (i.e., convergence results) for random planar maps and we will focus in particular on a notion of convergence known as convergence under conformal embedding.
Schedule of events (May 8):
- Tea: 3:30 PM – 4:00 PM, Jones 303, 5747 South Ellis Avenue
- Billingsley Lecture: 4:00 PM - 5:00 PM, Jones 303, 5747 South Ellis Avenue
- Reception in Fin Math building: 5:20 PM, 5727 South University Avenue
Professor Holden will also give a probability seminar:
Regularity of the Schramm-Loewner evolution
Abstract:
We find optimal (up to constant) bounds for the following measures for the regularity of the Schramm-Loewner evolution (SLE): variation regularity, modulus of continuity, and law of the iterated logarithm. For the latter two we consider the SLE with its natural parametrization. Based on a joint work with Yizheng Yuan.
May 9, 2:30 PM - 3:30 PM, Eckhart 202, 5734 South University Avenue
Nina Holden (Courant Institute)