Local limits of random planar trees and maps
We explain Janson's recent general theorem on the local limit of random planar trees called 'simply generated trees'. We show how the theorem may be applied to obtain a corresponding local limit theorem for a class of random planar maps which are defined by assigning non-negative weights to the degree of faces in the maps. The proof relies on constructing a continuous function from a suitable set of planar trees to a suitable set of planar maps. This is a joint work with Jakob Björnberg.