24 citations · 57 across the 15 of their papers we have counts for
22 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…
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…
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…
Sharp total variation rates of convergence for fluctuations of linear statistics of -ensembles
Jürgen Angst, Ronan Herry, Dominique Malicet +1
In this article, we revisit the question of fluctuations of linear statistics of beta ensembles in the single cut and non-critical regime for general potentials under mild regu…
A total variation version of Breuer--Major Central Limit Theorem under assumption
Jürgen Angst, Federico Dalmao, Guillaume Poly
In this note, we establish a qualitative total variation version of Breuer--Major Central Limit Theorem for a sequence of the type …
Almost sure behavior of the critical points of random polynomials
Jürgen Angst, Dominique Malicet, Guillaume Poly
Let be a sequence of independent and identically distributed complex random variables with common distribution and let the ass…