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math.PR2026
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…
math.PR2026
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…