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math.PR2017★ 22 cited
Non universality for the variance of the number of real roots of random trigonometric polynomials
Vlad Bally, Lucia Caramellino, Guillaume Poly
In this article, we consider the following family of random trigonometric polynomials for a given sequence of i.i.d. random…
math.PR2017★ 2 cited
On the real zeros of random trigonometric polynomials with dependent coefficients
Jürgen Angst, Federico Dalmao, Guillaume Poly
We consider random trigonometric polynomials of the form \[ f_n(t):=\sum_{1\le k \le n} a_{k} \cos(kt) + b_{k} \sin(kt), \] whose entries and …