22 citations · 49 across the 6 of their papers we have counts for
6 papers
Regularization along central convergence on second and third Wiener chaoses
Guillaume Poly
Consider an element of the second Wiener chaos with variance one. In full generality, we show that, for every integer , there exists such that if t…
Non universality for the variance of the number of real roots of random trigonometric polynomials
Vlad Bally, Lucia Caramellino, Guillaume Poly
In this article, we consider the following family of random trigonometric polynomials for a given sequence of i.i.d. random…
On the real zeros of random trigonometric polynomials with dependent coefficients
Jürgen Angst, Federico Dalmao, Guillaume Poly
We consider random trigonometric polynomials of the form \[ f_n(t):=\sum_{1\le k \le n} a_{k} \cos(kt) + b_{k} \sin(kt), \] whose entries and …
Multidimensional limit theorems for homogeneous sums: a general transfer principle
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
The aim of the present paper is to establish the multidimensional counterpart of the \textit{fourth moment criterion} for homogeneous sums in independent leptokurtic and mesokurtic…
Squared chaotic random variables: new moment inequalities with applications
Dominique Malicet, Ivan Nourdin, Giovanni Peccati +1
We prove a new family of inequalities involving squares of random variables belonging to the Wiener chaos associated with a given Gaussian field. Our result provides a substantial…
Absolute continuity and convergence of densities for random vectors on Wiener chaos
Ivan Nourdin, David Nualart, Guillaume Poly
The aim of this paper is to establish some new results on the absolute continuity and the convergence in total variation for a sequence of d-dimensional vectors whose components be…