Scaling limits of random trees and planar maps

Jean-François Le Gall, Grégory Miermont

Published 2011-01-25, updated 2012-07-24Version 2

These are the notes for a series of lectures given at the Clay Mathematical Institute Summer School in Buzios, July 11 - August 7, 2010. We review some of the recent aspects of scaling limits of random trees and planar maps, in particular via their relations with bijective enumeration and Gromov-Hausdorff convergence.