14 citations · 44 across the 13 of their papers we have counts for
14 papers
Fisher--Hartwig asymptotics and critical moments for the circular beta ensemble
Reda Chhaibi, Pierre-Loïc Méliot, Joseph Najnudel +1
We determine the joint moments of real powers of the absolute value of characteristic polynomials in the circular beta ensemble, for every . At fixed distinct prescribed point…
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…
Mod-Gaussian convergence and its applications for models of statistical mechanics
Pierre-Loïc Méliot, Ashkan Nikeghbali
In this paper we complete our understanding of the role played by the limiting (or residue) function in the context of mod-Gaussian convergence. The question about the probabilisti…
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…
Partial isomorphisms over finite fields
Pierre-Loïc Méliot
In this paper, we construct a combinatorial algebra of partial isomorphisms that gives rise to a "projective limit" of the centers of the group algebras C[GL(n,Fq)]. It allows us t…
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…
Gaussian concentration of the q-characters of the Hecke algebras of type A
Pierre-Loïc Méliot
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible characters of an Hecke algebra are concentrated around the normalized trac…
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Pierre-Loïc Méliot
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebra , if is the set of structure constants in…
Asymptotics of the Gelfand models of the symmetric groups
Pierre-Loïc Méliot
If a partition of size n is chosen randomly according to the Plancherel measure , then as n goes to infinity, the rescaled shape of is with high pro…
Kerov's central limit theorem for Schur-Weyl measures of parameter 1/2
Pierre-Loïc Méliot
We show that Kerov's central limit theorem related to the fluctuations of Young diagrams under the Plancherel measure extends to the case of Schur-Weyl measures, which are the prob…
Asymptotics of q-Plancherel measures
Valentin Feray, Pierre-Loïc Méliot
In this paper, we are interested in the asymptotic size of rows and columns of a random Young diagram under a natural deformation of the Plancherel measure coming from Hecke algebr…