  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
$[0,T]\times [a,b]$ is asymptotically between $cT$ and $CT^2$, with positive
constants $c$ and $C$. We also supply with conditions (in terms of the spectral
measure) under which the variance asymptotically grows linearly, as a quadratic
function of $T$, or has intermediate growth.
