52 citations · 168 across the 15 of their papers we have counts for
21 papers
Random cographs: Brownian graphon limit and asymptotic degree distribution
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random cographs (either labeled or unlabeled) of large size. Our first main result is the convergence towards a Brownian limiting object in the space of graphon…
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…
Two first-order logics of permutations
Michael Albert, Mathilde Bouvel, Valentin Féray
We consider two orthogonal points of view on finite permutations, seen as pairs of linear orders (corresponding to the usual one line representation of permutations as words) or se…
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…