3 citations · 7 across the 5 of their papers we have counts for
8 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…
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 …
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 towards linear combinations of chi-squared random variables: a Malliavin-based approach
Ehsan Azmoodeh, Giovanni Peccati, Guillaume Poly
We investigate the problem of finding necessary and sufficient conditions for convergence in distribution towards a general finite linear combination of independent chi-squared ran…
Classical and free Fourth Moment Theorems: universality and thresholds
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
Let be a centered random variable with unit variance, zero third moment, and such that . Let denote a normalized sequence of homogeneous sums…