Geodesic
A sufficient condition for the number of zeros of a differentiable Gaussian stationary process to be finite
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 481-490

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We are concerned with factorial moments $N_m(T)$ of the number of zeros of a Gaussian stationary process $\xi_t$, $\mathbf M\xi_t=0$, $t\in[0,T]$. For $\xi_t$ having the derivative $\xi'_t$, a sufficient condition for moments $N_m(T)$ to be finite is obtained (Theorem 1). In theorems 2 and 3 we deal with applications of Theorem 1 to concrete classes of $\xi_t$. 
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     author = {R. N. Miroshin},
     title = {A sufficient condition for the number of zeros of a differentiable {Gaussian} stationary process to be finite},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {481--490},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a3/}
}
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R. N. Miroshin. A sufficient condition for the number of zeros of a differentiable Gaussian stationary process to be finite. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 481-490. http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a3/