Variance of the number of zeroes of shift-invariant Gaussian analytic functions

Author:

Feldheim Naomi Dvora

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference34 articles.

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3. D. Chambers and E. Slud, Central limit theorems for nonlinear functionals of stationary Gaussian processes, Probability Theory and Related Fields 80 (1989), 323–346.

4. H. Cramér and M. R. Leadbetter, Stationary and Related Stochastic Processes, Wiley series in Probability and Mathematical Statistics, John Wiley & Sons, New York–London–Sidney, 1967.

5. J. Cuzick, A central limit theorem for the number of zeros of a stationary Gaussian process, Annals of Probability 4 (1976), 547–556.

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1. An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process;Probability Theory and Related Fields;2023-09-23

2. Variance linearity for real Gaussian zeros;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-11-01

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