14 citations · 14 across the 6 of their papers we have counts for
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Stable quadrangulations and stable spheres
Eleanor Archer, Ariane Carrance, Laurent Ménard
We consider scaling limits of random quadrangulations obtained by applying the Cori-Vauquelin-Schaeffer bijection to Bienaymé-Galton-Watson trees with stably-decaying offspring tai…
Some properties of stable snakes
Eleanor Archer, Ariane Carrance, Laurent Ménard
We prove some technical results relating to the Brownian snake on a stable Lévy tree. This includes some estimates on the range of the snake, estimates on its occupation measure ar…
Random trees with local catastrophes: the Brownian case
Ariane Carrance, Jérôme Casse, Nicolas Curien
We introduce and study a model of plane random trees generalizing the famous Bienaymé--Galton--Watson model but where births and deaths are locally correlated. More precisely, give…
Convergence of Eulerian triangulations
Ariane Carrance
We prove that properly rescaled large planar Eulerian triangulations converge to the Brownian map. This result requires more than a standard application of the methods that have be…
Uniform random colored complexes
Ariane Carrance
We present here random distributions on -edge-colored, bipartite graphs with a fixed number of vertices . These graphs are dual to -dimensional orientable colored com…