14 citations · 17 across the 4 of their papers we have counts for
6 papers
Up-down chains and scaling limits: application to permuton- and graphon-valued diffusions
Valentin Féray, Kelvin Rivera-Lopez
An up-down chain is a Markov chain in which each transition is a two-step process that moves up to a larger object and then back down to an object of the original size. The first g…
A determinantal point process approach to scaling and local limits of random Young tableaux
Jacopo Borga, Cédric Boutillier, Valentin Féray +1
We obtain scaling and local limit results for large random Young tableaux of fixed shape via the asymptotic analysis of a determinantal point process due to Gorin and Rahman…
The permuton limit of random recursive separable permutations
Valentin Féray, Kelvin Rivera-Lopez
We introduce and study a simple Markovian model of random separable permutations. Our first main result is the almost sure convergence of these permutations towards a random limiti…
Wiener Indices of Minuscule Lattices
Colin Defant, Valentin Féray, Philippe Nadeau +1
The Wiener index of a finite graph G is the sum over all pairs (p, q) of vertices of G of the distance between p and q. When P is a finite poset, we define its Wiener index as the…
Mod-phi convergence I: Normality zones and precise deviations
Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali
In this paper, we use the framework of mod- convergence to prove precise large or moderate deviations for quite general sequences of real valued random variables $(X_{n})_{n \in…
On Kerov polynomials for Jack characters
Maciej Dołęga, Valentin Féray
We consider a deformation of Kerov character polynomials, linked to Jack symmetric functions. It has been introduced recently by M. Lassalle, who formulated several conjectures on…