4 citations · 4 across the 1 of their papers we have counts for
4 papers
The boundary of random planar maps via looptrees
Igor Kortchemski, Loïc Richier
We study the scaling limits of looptrees associated with Bienaymé--Galton--Watson (BGW) trees, that are obtained by replacing every vertex of the tree by a "cycle" whose size is it…
The Incipient Infinite Cluster of the Uniform Infinite Half-Planar Triangulation
Loïc Richier
We introduce the Incipient Infinite Cluster (IIC) in the critical Bernoulli site percolation model on the Uniform Infinite Half-Planar Triangulation (UIHPT), which is the local lim…
Limits of the boundary of random planar maps
Loïc Richier
We discuss asymptotics for the boundary of critical Boltzmann planar maps under the assumption that the distribution of the degree of a typical face is in the domain of attraction…
Uniform infinite half-planar quadrangulations with skewness
Erich Baur, Loïc Richier
We introduce a one-parameter family of random infinite quadrangulations of the half-plane, which we call the uniform infinite half-planar quadrangulations with skewness (UIHPQ…