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math.PR2013
Variance of the Number of Zeroes of Shift-Invariant Gaussian Analytic Functions
Naomi Feldheim
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 n…
math.PR2013★ 13 cited
Long gaps between sign-changes of Gaussian Stationary Processes
Naomi D. Feldheim, Ohad N. Feldheim
We study the probability of a real-valued stationary process to be positive on a large interval . We show that if in some neighborhood of the origin the spectral measure of…