102 citations · 713 across the 38 of their papers we have counts for
35 papers · 1 filter
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…
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…
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 explici…
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…
On breadth-first constructions of scaling limits of random graphs and random unicellular maps
Grégory Miermont, Sanchayan Sen
We give alternate constructions of (i) the scaling limit of the uniform connected graphs with given fixed surplus, and (ii) the continuum random unicellular map (CRUM) of a given g…
Backbone scaling limit of the high-dimensional IIC: extended version
Markus Heydenreich, Remco van der Hofstad, Tim Hulshof +1
We identify the scaling limit of the backbone of the high-dimensional incipient infinite cluster (IIC), both in the finite-range and the long-range setting. In the finite-range set…