1 citations · 1 across the 7 of their papers we have counts for
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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…
Yet another proof of the strong law of large numbers
Nicolas Curien
We give a short proof of the strong law of large numbers based on duality for random walk
Parking on Cayley trees & Frozen Erdös-Rényi
Alice Contat, Nicolas Curien
Consider a uniform rooted Cayley tree with vertices and let cars arrive sequentially, independently, and uniformly on its vertices. Each car tries to park on its ar…
Iterated Brownian motion ad libitum is not the pseudo-arc
Jérôme Casse, Nicolas Curien
We show that the construction of a random continuum from independent two-sided Brownian motions as considered in arXiv:2004.01367 almost surely yields a non-degenerat…
Infinite stable Boltzmann planar maps are subdiffusive
Nicolas Curien, Cyril Marzouk
The infinite discrete stable Boltzmann maps are generalisations of the well-known Uniform Infinite Planar Quadrangulation in the case where large degree faces are allowed. We show…
On conditioning a self-similar growth-fragmentation by its intrinsic area
Jean Bertoin, Nicolas Curien, Igor Kortchemski
The genealogical structure of self-similar growth-fragmentations can be described in terms of a branching random walk. The so-called intrinsic area arises in this sett…