Stability of geodesics in the Brownian map

Seminar | September 26 | 3-4 p.m. | 1011 Evans Hall

 Brett Kolesnik, UC Berkeley

 Department of Statistics

The Brownian map is a random non-differentiable surface, homeomorphic to the sphere, which was first identified as a scaling limit of random planar maps (Le Gall 2011 and Miermont 2011). More recently its connections with quantum gravity were established (Miller and Sheffield 2016). In this talk we show that the cut locus of the Brownian map is continuous almost everywhere, and discuss other features of its rich geodesic structure.

Joint work with Omer Angel and Gregory Miermont.