52 citations · 168 across the 15 of their papers we have counts for
4 papers · 1 filter
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…