68 citations · 297 across the 23 of their papers we have counts for
4 papers · 1 filter
Triangulating stable laminations
Igor Kortchemski, Cyril Marzouk
We study the asymptotic behavior of random simply generated noncrossing planar trees in the space of compact subsets of the unit disk, equipped with the Hausdorff distance. Their d…
Random planar maps & growth-fragmentations
Jean Bertoin, Nicolas Curien, Igor Kortchemski
We are interested in the cycles obtained by slicing at all heights random Boltzmann triangulations with a simple boundary. We establish a functional invariance principle for the le…
Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees
Igor Kortchemski
We establish uniform sub-exponential tail bounds for the width, height and maximal outdegree of critical Bienaymé-Galton-Watson trees conditioned on having a large fixed size, whos…
Simply generated non-crossing partitions
Igor Kortchemski, Cyril Marzouk
We introduce and study the model of simply generated non-crossing partitions, which are, roughly speaking, chosen at random according to a sequence of weights. This framework encom…