Etienne Bellin

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20202022

most citedAsymptotic behaviour of the first positions of uniform parking functions

1 citations · 1 across the 3 of their papers we have counts for

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math.PR2022

Random monotone factorisations of the cycle

Etienne Bellin

In this article we study decreasing and increasing factorisations of the cycle, which are decompositions of the cycle $(12 \dots n)$ into a product of $n - 1$ transpositions satisfyi…

math.PR2022

On the independence number of random trees via tricolourations

Etienne Bellin

We are interested in the independence number of large random simply generated trees and related parameters, such as their matching number or the kernel dimension of their adjacency…

math.PR2021★ 1 cited

Asymptotic behaviour of the first positions of uniform parking functions

Etienne Bellin

In this paper we study the asymptotic behavior of a random uniform parking function $π_{n}$ of size $n$ . We show that the first $k_{n}$ places $π_{n} (1), \dots, π_{n} (k_{n})$ of $π_{n}$ are asym…