6 citations · 6 across the 2 of their papers we have counts for
5 papers
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…
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…
Local limit theorems and mod-phi convergence
Martina dal Borgo, Pierre-Loïc Méliot, Ashkan Nikeghbali
We prove local limit theorems for mod-ϕ convergent sequences of random variables, ϕ being a stable distribution. In particular, we give two new proofs of a local limit theorem in t…
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…
A central limit theorem for the characters of the infinite symmetric group and of the infinite Hecke algebra
Pierre-Loïc Méliot
In this paper, we review the representation theory of the infinite symmetric group, and we extend the works of Kerov and Vershik by proving that the irreducible characters of the i…