CLT for crossings of random trigonometric polynomials
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Publication:388950
DOI10.1214/EJP.v18-2403zbMath1284.60048MaRDI QIDQ388950
Jean-Marc Azaïs, José Rafael León
Publication date: 17 January 2014
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Related Items (16)
The winding of stationary Gaussian processes ⋮ On the real zeros of random trigonometric polynomials with dependent coefficients ⋮ Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ Convergence in distribution norms in the CLT for non identical distributed random variables ⋮ A CLT concerning critical points of random functions on a Euclidean space ⋮ Expected number of real roots of random trigonometric polynomials ⋮ Rates of convergence for the number of zeros of random trigonometric polynomials ⋮ Cumulants asymptotics for the zeros counting measure of real Gaussian processes ⋮ On the absolute continuity of random nodal volumes ⋮ Variance of real zeros of random orthogonal polynomials ⋮ Asymptotic variance and CLT for the number of zeros of Kostlan Shub Smale random polynomials ⋮ Non universality for the variance of the number of real roots of random trigonometric polynomials ⋮ Random polynomials: central limit theorems for the real roots ⋮ Variations on Salem-Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics ⋮ Variance of real zeros of random orthogonal polynomials for varying and exponential weights
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