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Theory of Stochastic Processes, 2012, Volume 18(34), Issue 2, Pages 33–53 (Mi thsp28)  
The variance of the number of windings of the random field along the planar curve

V. A. Kuznetsov

Institute of Mathematics of the NAS of Ukraine
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Abstract: This article is devoted to the study of the distribution of a winding number of a random vector field along the fixed plane curve. For some case of Gaussian homogeneous isotropic vector field, an explicit expression for the variance of the number of windings along the planar curve is given.
Keywords: Random field, isotropic random field, windings of vector field.
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Document Type: Article
MSC: 60G60
Language: English
Citation: V. A. Kuznetsov, “The variance of the number of windings of the random field along the planar curve”, Theory Stoch. Process., 18(34):2 (2012), 33–53
Citation in format AMSBIB
\Bibitem{Kuz12}
\by V.~A.~Kuznetsov
\paper The variance of the number of windings of the random field along the planar curve
\jour Theory Stoch. Process.
\yr 2012
\vol 18(34)
\issue 2
\pages 33--53
\mathnet{http://mi.mathnet.ru/thsp28}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3124773}
\zmath{https://zbmath.org/?q=an:1289.60091}
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