Is there a way to sample a planar map uniformly at random? I am aware of the Cori-Vauquelin-Schaeffer bijection that can be used to sample and study uniformly random quadrangulations. There are other results in the literature that allow for sampling other classes of planar maps, but I haven't seen any results for the entire class of planar maps.



Uniformly random planar map
Something you may potentially be interested in :
<http://www.lix.polytechnique.fr/~fusy/Articles/FusyAofa.pdf>


Nathann


