From the 1 of 7 linked papers with an AI index.
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Depth profile of depth-weighted trees with bounded weights
Emmanuel Kammerer
We study the depth-weighted random recursive trees introduced by Leckey, Mitsche and Wormald in the case where the weights are bounded from above and from below. We establish the s…
Scaling limit of trees with vertices of fixed degrees and heights
Arthur Blanc-Renaudie, Emmanuel Kammerer
We consider large uniform random trees where we fix for each vertex its degree and height. We prove, under natural conditions of convergence for the profile, that those trees prope…
Gaskets of loop-decorated random planar maps
Emmanuel Kammerer
We prove that for the gaskets of critical rigid loop-decorated random planar maps are -stable maps. The case thus corresponds to the critical case in ra…
Distances on the , critical Liouville quantum gravity and -stable maps
Emmanuel Kammerer
The purpose of this article is threefold. First, we show that when one explores a conformal loop ensemble of parameter () on an independent -Liouville qua…
Uniform attachment with freezing
Ãtienne Bellin, Arthur Blanc-Renaudie, Emmanuel Kammerer +1
In the classical model of random recursive trees, trees are recursively built by attaching new vertices to old ones. What happens if vertices are allowed to freeze, in the sense th…
The height of the infection tree
Emmanuel Kammerer, Igor Kortchemski, Delphin Sénizergues
We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is…