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math.PR2023
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 …
math.PR2023★ 1 cited
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…
math.PR2023
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…