Geodesic
Asymptotic normality of the number of crossings of the zero level by a~Gaussian process
Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 292-301

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The central limit theorem for the number of zeros of a Gaussian stationary process in the lengthening time interval is proved without assuming the strong mixing condition. 
@article{TVP_1969_14_2_a8,
     author = {T. L. Malevich},
     title = {Asymptotic normality of the number of crossings of the zero level by {a~Gaussian} process},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {292--301},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a8/}
}
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T. L. Malevich. Asymptotic normality of the number of crossings of the zero level by a~Gaussian process. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 292-301. http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a8/