59 citations · 198 across the 14 of their papers we have counts for
9 papers · 1 filter
The Aldous chain on cladograms mixes in order steps
Valentin Féray, Lucas Teyssier
Cladograms of size are unrooted binary trees whose leaves are labelled from 1 to . Aldous introduced in 2000 a Markov chain on cladograms, a step of which consists of removi…
Scaling limit of graph classes through split decomposition
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +2
We prove that Aldous' Brownian CRT is the scaling limit, with respect to the Gromov--Prokhorov topology, of uniform random graphs in each of the three following families of graphs:…
Components in meandric systems and the infinite noodle
Valentin Féray, Paul Thévenin
We investigate here the asymptotic behaviour of a large typical meandric system. More precisely, we show the quenched local convergence of a random uniform meandric system on…
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…
Weighted dependency graphs
Valentin Féray
The theory of dependency graphs is a powerful toolbox to prove asymptotic normality of sums of random variables. In this article, we introduce a more general notion of weighted dep…
The Brownian limit of separable permutations
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +2
We study random uniform permutations in an important class of pattern-avoiding permutations: the separable permutations. We describe the asymptotics of the number of occurrences of…
Gaussian fluctuations of Young diagrams and structure constants of Jack characters
Maciej Dołęga, Valentin Féray
In this paper, we consider a deformation of Plancherel measure linked to Jack polynomials. Our main result is the description of the first and second-order asymptotics of the bulk…