Abstract
It is shown that the exact measure function $\Psi(h)$ of a stationary Gaussian process with spectral density function $f(\lambda)$ proportional to $(\lambda^2 + a^2)^{-(\alpha+\frac{1}{2})}, 0 < \alpha < \frac{1}{2}$, is given by $\Psi(h) = h^{1-\alpha}(\log |\log h|)^\alpha$.
Citation
P. Laurie Davies. "The Exact Hausdorff Measure of the Zero Set of Certain Stationary Gaussian Processes." Ann. Probab. 5 (5) 740 - 755, October, 1977. https://doi.org/10.1214/aop/1176995716
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