5 citations · 6 across the 4 of their papers we have counts for
6 papers
A new approach to the characteristic polynomial of a random unitary matrix
Yacine Barhoumi-Andréani
Since the seminal work of Keating and Snaith, the characteristic polynomial of a random Haar-distributed unitary matrix has seen several of its functional studied or turned into a…
Bivariate fluctuations for the number of arithmetic progressions in random sets
Yacine Barhoumi-Andréani, Christoph Koch, Hong Liu
We study arithmetic progressions , with , in random subsets of the initial segment of natural numbers . Given $…
Extreme value statistics for the roots of a complex Kac polynomial
Yacine Barhoumi-Andréani
We investigate the fluctuations and large deviations of the root of largest modulus in a model of random polynomial with independent complex Gaussian coefficients (Kac polynomials)…
Random characters under the -measure, I : Dirichlet characters
Yacine Barhoumi-Andréani
We define the -measure on the set of Dirichlet characters as an analogue of the Plancherel measure, once considered as a measure on the irreducible characters of the symmetric g…
A penalised model reproducing the mod-Poisson fluctuations in the Sathe-Selberg theorem
Yacine Barhoumi-Andréani
We construct a probabilistic model for the number of divisors of a random uniform integer that converges in the mod-Poisson sense to the same limiting function as its original coun…
On Stein's method and mod-* convergence
Yacine Barhoumi-Andréani
Stein's method allows to prove distributional convergence of a sequence of random variables and to quantify it with respect to a given metric such as Kolmogorov's (a Berry-Esséen t…