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• W2016942693 endingPage "1741" @default.
• W2016942693 startingPage "1729" @default.
• W2016942693 abstract "We calculate correlation functions of the (signed) density of zeros of Gaussian distributed vector fields. We are able to express correlation functions of arbitrary order through the curvature tensor of a certain abstract Riemann-Cartan or Riemannian manifold. As an application, we discuss one- and two-point functions. The zeros of a two-dimensional Gaussian vector field model the distribution of topological defects in the high-temperature phase of two-dimensional systems with orientational degrees of freedom, such as superfluid films, thin superconductors and liquid crystals." @default.
• W2016942693 created "2016-06-24" @default.
• W2016942693 creator A5003787276 @default.
• W2016942693 date "2003-01-29" @default.
• W2016942693 modified "2023-10-16" @default.
• W2016942693 title "Signed zeros of Gaussian vector fields density, correlation functions and curvature" @default.
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• W2016942693 doi "https://doi.org/10.1088/0305-4470/36/6/316" @default.
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