Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 501-513
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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/
@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},
year = {1974},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a3/}
}
TY - JOUR
AU - T. L. Malevich
TI - A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 501
EP - 513
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a3/
LA - ru
ID - TVP_1974_19_3_a3
ER -
%0 Journal Article
%A T. L. Malevich
%T A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 501-513
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a3/
%G ru
%F TVP_1974_19_3_a3
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 $T\to\infty$.
