2 papers
math.PR2021
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…
math.PR2020
New asymptotics for the mean number of zeros of random trigonometric polynomials with strongly dependent Gaussian coefficients
Thibault Pautrel
We consider random trigonometric polynomials of the form \[ f_n(t):=\frac{1}{\sqrt{n}} \sum_{k=1}^{n}a_k \cos(k t)+b_k \sin(k t), \] where and a…