The variance of the number of windings of the random field along the planar curve

V. Kuznetsov
Theory of Stochastic Processes
Vol.18 (34), no.2, 2012, pp.33-53
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.