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math.PR2021
Random generation and scaling limits of fixed genus factorizations into transpositions
Valentin Féray, Baptiste Louf, Paul Thévenin
We study the asymptotic behaviour of random factorizations of the -cycle into transpositions of fixed genus . They have a geometric interpretation as branched covers of the…
math.PR2019
On the central limit theorem for the two-sided descent statistics in Coxeter groups
Valentin Féray
In 2018, Kahle and Stump raised the following problem: identify sequences of finite Coxeter groups for which the two-sided descent statistics on a uniform random element of $…
math.PR2019
A decorated tree approach to random permutations in substitution-closed classes
Jacopo Borga, Mathilde Bouvel, Valentin Féray +1
We establish a novel bijective encoding that represents permutations as forests of decorated (or enriched) trees. This allows us to prove local convergence of uniform random permut…