14 citations · 17 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…