22 citations · 50 across the 8 of their papers we have counts for
13 papers · 1 filter
Roots of random trigonometric polynomials with general dependent coefficients
Jürgen Angst, Oanh Nguyen, Guillaume Poly
We consider random trigonometric polynomials with general dependent coefficients. We show that under mild hypotheses on the structure of dependence, the asymptotics as the degree g…
Real zeros of random trigonometric polynomials with dependent coefficients
Jürgen Angst, Thibault Pautrel, Guillaume Poly
We further investigate the relations between the large degree asymptotics of the number of real zeros of random trigonometric polynomials with dependent coefficients and the underl…
Variations on Salem--Zygmund results for random trigonometric polynomials. Application to almost sure nodal asymptotics
Jürgen Angst, Guillaume Poly
On a probability space we consider two independent sequences and of i.i.d. random variables that are centered wit…
On the zeros of non-analytic random periodic signals
Jürgen Angst, Guillaume Poly
In this paper, we investigate the local universality of the number of zeros of a random periodic signal of the form , where is a periodic f…
Regularization lemmas and convergence in total variation
Vlad Bally, Lucia Caramellino, Guillaume Poly
We provide a simple abstract formalism of integration by parts under which we obtain some regularization lemmas. These lemmas apply to any sequence of random variables whic…
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…