Prefer a chat interface with context about you and your work?
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Abstract We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under mild mixing conditions. This allows us to characterise minimal and maximal growth. We show that a small (symmetrised) atom in the spectral measure at …