52 citations · 168 across the 15 of their papers we have counts for
8 papers · 1 filter
Scaling limits of permutation classes with a finite specification: a dichotomy
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random permutations in classes having a finite combinatorial specification for the substitution decomposition. These classes include (but are not limited to) al…
Trajectories in random minimal transposition factorizations
Valentin Féray, Igor Kortchemski
We study random typical minimal factorizations of the -cycle, which are factorizations of as a product of transpositions, chosen uniformly at random. Our m…
Graphons, permutons and the Thoma simplex: three mod-Gaussian moduli spaces
Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali
In this paper, we show how to use the framework of mod-Gaussian convergence in order to study the fluctuations of certain models of random graphs, of random permutations and of ran…
The geometry of random minimal factorizations of a long cycle via biconditioned bitype random trees
Valentin Féray, Igor Kortchemski
We study random typical minimal factorizations of the -cycle into transpositions, which are factorizations of as a product of transpositions. By viewing tr…
Universal limits of substitution-closed permutation classes
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random permutations in proper substitution-closed classes and study their limiting behavior in the sense of permutons. The limit depends on the generating serie…
Mod- convergence, II: Estimates on the speed of convergence
Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali
In this paper, we give estimates for the speed of convergence towards a limiting stable law in the recently introduced setting of mod- convergence. Namely, we define a notion of…
Weighted dependency graphs and the Ising model
Jehanne Dousse, Valentin Féray
Weighted dependency graphs have been recently introduced by the second author, as a toolbox to prove central limit theorems. In this paper, we prove that spins in the -dimension…
Asymptotic behavior of some statistics in Ewens random permutations
Valentin Féray
The purpose of this article is to present a general method to find limiting laws for some renormalized statistics on random permutations. The model considered here is Ewens samplin…