Geodesic
A~limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 501-513

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We prove that the sum of the lengths of contours arising from crossing of the zero level by a Gaussian field which are contained in $[0,T]\times[0,T]$ is asymptotically normal as $T\to\infty$. 
@article{TVP_1974_19_3_a3,
     author = {T. L. Malevich},
     title = {A~limit theorem for the length of contours generated by crossings of the zero level by {Gaussian} fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {501--513},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a3/}
}
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T. L. Malevich. A~limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 501-513. http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a3/