Guillaume Poly

activity

20122026

most citedNon universality for the variance of the number of real roots of random trigonometric polynomials

22 citations · 50 across the 16 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

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 $p_{n} (t, Y) = \sum_{k = 1}^{n} Y_{k, 1} cos (k t) + Y_{k, 2} sin (k t)$ 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 $(a_{k})_{k \geq 1}$ and $(b_{k})_{k \geq 1}$ …