Bijections for tree-decorated maps and applications to random maps
Time: 14:00 -- Location: Salle Henri Poincaré du LIX
We introduce a new family of maps, namely tree-decorated maps where the tree is not necessarily spanning. To study this class of maps, we define a bijection which allows us to deduce combinatorial results, recovering as a corollary some results about spanning-tree decorated maps, and to understand local limits. Finally, we discuss the possible metric scaling limit of this map: the shocked map. We give certain properties and give the conjectured continuum construction. This is a work in progress with Avelio Sepúlveda.