58 citations · 391 across the 53 of their papers we have counts for
64 papers
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…
Eve, Adam and the Preferential Attachment Tree
Alice Contat, Nicolas Curien, Perrine Lacroix +2
We consider the problem of finding the initial vertex (Adam) in a Barabási--Albert tree process at large times. More precisely, given …
Ideal Poisson-Voronoi tessellations on hyperbolic spaces
Matteo D'Achille, Nicolas Curien, Nathanaël Enriquez +2
We study the limit in low intensity of Poisson--Voronoi tessellations in hyperbolic spaces for . In contrast to the Euclidean setting, a limiting nontri…
Fractal properties of the frontier in Poissonian coloring
Anne-Laure Basdevant, Guillaume Blanc, Nicolas Curien +1
We study a model of random partitioning by nearest-neighbor coloring from Poisson rain, introduced independently by Aldous and Preater. Given two initial points in respec…
The critical Karp--Sipser core of random graphs
Thomas Budzinski, Alice Contat, Nicolas Curien
We study the Karp--Sipser core of a random graph made of a configuration model with vertices of degree and . This core is obtained by recursively removing the leaves as we…
Erdös-Rényi Poissonized
Nicolas Curien
We introduce a variant of the Erdös--Rényi random graph where the number of vertices is random and follows a Poisson law. A very simple Markov property of the model entails that th…