58 citations · 391 across the 53 of their papers we have counts for
7 papers · 1 filter
The local limit of unicellular maps in high genus
Omer Angel, Guillaume Chapuy, Nicolas Curien +1
We show that the local limit of unicellular maps whose genus is proportional to the number of edges is a supercritical geometric Galton-Watson tree conditioned to survive. The proo…
A glimpse of the conformal structure of random planar maps
Nicolas Curien
We present a way to study the conformal structure of random planar maps. The main idea is to explore the map along an SLE (Schramm--Loewner evolution) process of parameter …
Percolation on random triangulations and stable looptrees
Nicolas Curien, Igor Kortchemski
We study site percolation on Angel & Schramm's uniform infinite planar triangulation. We compute several critical and near-critical exponents, and describe the scaling limit of the…
The CRT is the scaling limit of random dissections
Nicolas Curien, Bénédicte Haas, Igor Kortchemski
We study the graph structure of large random dissections of polygons sampled according to Boltzmann weights, which encompasses the case of uniform dissections or uniform -angula…
The harmonic measure of balls in random trees
Nicolas Curien, Jean-François Le Gall
We study properties of the harmonic measure of balls in typical large discrete trees. For a ball of radius centered at the root, we prove that, although the size of the boundar…
Random stable looptrees
Nicolas Curien, Igor Kortchemski
We introduce a class of random compact metric spaces L(α) indexed by α\in (1,2) and which we call stable looptrees. They are made of a collection of random loops glued together alo…