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math.PR2021★ 1 cited
Cumulants asymptotics for the zeros counting measure of real Gaussian processes
Louis Gass
We compute the exact asymptotics for the cumulants of linear statistics associated with the zeros counting measure of a large class of real Gaussian processes. Precisely, we show t…
math.PR2021
Variance of the number of zeros of dependent Gaussian trigonometric polynomials
Louis Gass
We compute the variance asymptotics for the number of real zeros of trigonometric polynomials with random dependent Gaussian coefficients and show that under mild conditions, the a…