5 papers
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…
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 $…
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…
Central limit theorems for patterns in multiset permutations and set partitions
Valentin Féray
We use the recently developed method of weighted dependency graphs to prove central limit theorems for the number of occurrences of any fixed pattern in multiset permutations and i…
Characters of symmetric groups in terms of free cumulants and Frobenius coordinates
Maciej Dołega, Valentin Féray, Piotr Śniady
Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups S(n) in the lim…