32 citations · 200 across the 40 of their papers we have counts for
47 papers
Global universality of the expected number of zeros of non-analytic random signals
Jürgen Angst, Thibault Pautrel, Guillaume Poly
We study the asymptotics as goes to infinity of , the expected number of zeros in of a random periodic signal of…
Breuer-Major-Donsker invariance principle
Paul Mansanarez, Guillaume Poly, Guangqu Zheng
We prove a Breuer-Major-type Donsker's invariance principle for stationary Gaussian sequences under the natural \emph{finite-variance assumption} on the test function. This result,…
Convergence of higher derivatives of random polynomials with independent roots
Jürgen Angst, Oanh Nguyen, Guillaume Poly
Let be a probability measure on , and let be the random polynomial whose zeros are sampled independently from . We study the asymptotic distribution of zero…
Edgeworth expansion on Wiener chaos
Paul Mansanarez, Guillaume Poly, Yvik Swan
Consider an element of the -th Wiener chaos $\WW_p$, and denote by $\prob_F$ its law. For a positive integer , let be the Radon measure with density…
Stein's method for Fréchet approximation: a regularly varying functions approach
Paul Mansanarez, Guillaume Poly, Yvik Swan
We develop a variant of Stein's method of comparison of generators to bound the Kolmogorov, total variation, and Wasserstein-1 distances between distributions on the real line. Our…
Limit distributions for polynomials with independent and identically distributed entries
Ronan Herry, Dominique Malicet, Guillaume Poly
We characterize the limiting distributions of random variables of the form , where: (i) is a sequence of multivariate polynomia…