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- W2963572802 abstract "Following Wiener, we consider the zeroes of Gaussian analytic functions in a strip in the complex plane, with translation-invariant distribution. We show that the variance of the number of zeroes in a long horizontal rectangle [−T,T] × [a, b] is asymptotically between cT and CT2, with positive constants c and C. We also supply with conditions (in terms of the spectral measure) under which the variance grows asymptotically linearly with T, as a quadratic function of T, or has intermediate growth. The results are compared with known results for real stationary Gaussian processes and other models." @default.
- W2963572802 created "2019-07-30" @default.
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- W2963572802 date "2018-07-21" @default.
- W2963572802 modified "2023-09-29" @default.
- W2963572802 title "Variance of the number of zeroes of shift-invariant Gaussian analytic functions" @default.
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- W2963572802 doi "https://doi.org/10.1007/s11856-018-1737-6" @default.
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