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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 501–513 (Mi tvp2923)  
A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields

T. L. Malevich

Tashkent
Full-text PDF (594 kB)
Abstract: 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 $T\to\infty$.
English version:
Theory of Probability and its Applications, 1975, Volume 19, Issue 3, Pages 474–486
DOI: https://doi.org/10.1137/1119056
Bibliographic databases:
Language: Russian
Citation: T. L. Malevich, “A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 501–513; Theory Probab. Appl., 19:3 (1975), 474–486
Citation in format AMSBIB
\Bibitem{Mal74}
\by T.~L.~Malevich
\paper A~limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 3
\pages 501--513
\mathnet{http://mi.mathnet.ru/tvp2923}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=353435}
\zmath{https://zbmath.org/?q=an:0316.60024}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 19
\issue 3
\pages 474--486
\crossref{https://doi.org/10.1137/1119056}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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