29 citations · 136 across the 18 of their papers we have counts for
4 papers · 1 filter
Infinite stable Boltzmann planar maps are subdiffusive
Nicolas Curien, Cyril Marzouk
The infinite discrete stable Boltzmann maps are generalisations of the well-known Uniform Infinite Planar Quadrangulation in the case where large degree faces are allowed. We show…
On scaling limits of random trees and maps with a prescribed degree sequence
Cyril Marzouk
We study a configuration model on bipartite planar maps in which, given even integers, one samples a planar map with faces uniformly at random with these face degrees. We p…
Markovian explorations of random planar maps are roundish
Nicolas Curien, Cyril Marzouk
The infinite discrete stable Boltzmann maps are "heavy-tailed" generalisations of the well-known Uniform Infinite Planar Quadrangulation. Very efficient tools to study these object…
On the growth of random planar maps with a prescribed degree sequence
Cyril Marzouk
For non-negative integers such that , we sample a bipartite planar map with faces uniformly at random amongst those which have $…