Geodesic
Conditions for moments of the number of zeroes of Gaussian stationary processes to be finite
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 631-641

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We deal with factorial moments $N_m(t)$ of the number of zeroes of a Gaussian stationary process $\xi_{\tau}$, $\mathbf M\xi_{\tau}=0$, $\tau\in[0,t]$. For $\xi_t$ having the property of local non-determinism of order $k$ (Definition 1), necessary and sufficient conditions for moments $N_m(t)$ to be finite are obtained (Theorems 1 and 2). In Theorems 3 and 4 these conditions are simplified for the case $k=1$. 
@article{TVP_1977_22_3_a19,
     author = {R. N. Miro\v{s}in},
     title = {Conditions for moments of the number of zeroes of {Gaussian} stationary processes to be finite},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {631--641},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a19/}
}
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R. N. Mirošin. Conditions for moments of the number of zeroes of Gaussian stationary processes to be finite. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 631-641. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a19/