N. Curien

collaborators

3 papers

math.PR2025

Random trees with local catastrophes: the Brownian case

Ariane Carrance, JÃ©rÃ´me Casse, Nicolas Curien

We introduce and study a model of plane random trees generalizing the famous BienaymÃ©--Galton--Watson model but where births and deaths are locally correlated. More precisely, giv…

math.PR2025

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 $1, 2$ and $3$ . This core is obtained by recursively removing the leaves as we…

math.PR2025

Ideal Poisson-Voronoi tessellations on hyperbolic spaces

Matteo D'Achille, Nicolas Curien, NathanaÃ«l Enriquez +2

We study the limit in low intensity of Poisson--Voronoi tessellations in hyperbolic spaces $H_{d}$ for $d \geq 2$ . In contrast to the Euclidean setting, a limiting nontri…