5 papers
Enumeration of maps with tight boundaries and the Zhukovsky transformation
Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
We consider maps with tight boundaries, i.e. maps whose boundaries have minimal length in their homotopy class, and discuss the properties of their generating functions $T^{(g)}_{\…
Ancestral diversity in fragmentation trees
Bénédicte Haas, Grégory Miermont
In a deterministic or random tree, a notion of ancestral diversity can be defined as follows. Sample independently groups of leaves and count the number of distinc…
Compact Brownian surfaces II. Orientable surfaces
Jérémie Bettinelli, Grégory Miermont
Fix an arbitrary compact orientable surface with a boundary and consider a uniform bipartite random quadrangulation of this surface with faces and boundary component lengths of…
The scaling limit of planar maps with large faces
Nicolas Curien, Grégory Miermont, Armand Riera
We prove that large Boltzmann stable planar maps of index converge in the scaling limit towards a random compact metric space that we construct expli…
The snake in the Brownian sphere
Omer Angel, Emmanuel Jacob, Brett Kolesnik +1
The Brownian sphere is a random metric space, homeomorphic to the two-dimensional sphere, which arises as the universal scaling limit of many types of random planar maps. The direc…