32 citations · 200 across the 40 of their papers we have counts for
4 papers · 1 filter
Universality of the nodal length of bivariate random trigonometric polynomials
Jürgen Angst, Guillaume Poly, Hung Pham Viet
We consider random trigonometric polynomials of the form \[ f_n(x,y)=\sum_{1\le k,l \le n} a_{k,l} \cos(kx) \cos(ly), \] where the entries are i.i.d. random…
Convergence in distribution norms in the CLT for non identical distributed random variables
Vlad Bally, Lucia Caramellino, Guillaume Poly
We study the convergence in distribution norms in the Central Limit Theorem for non identical distributed random variables that is $$ \varepsilon_{n}(f):={\mathbb{E}}\Big(f\Big(\fr…
A new approach to the Stein-Tikhomirov method: with applications to the second Wiener chaos and Dickman convergence
Benjamin Arras, Guillaume Mijoule, Guillaume Poly +1
In this paper, we propose a general means of estimating the rate at which convergences in law occur. Our approach, which is an extension of the classical Stein-Tikhomirov method, r…
Stein's method on the second Wiener chaos : 2-Wasserstein distance
Benjamin Arras, Ehsan Azmoodeh, Guillaume Poly +1
In the first part of the paper we use a new Fourier technique to obtain a Stein characterizations for random variables in the second Wiener chaos. We provide the connection between…