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• W3099554942 abstract "Measures of the non-Gaussianity of a random field depend on how accurately one is able to measure the field. If a signal measured at a certain point is to be averaged with its surroundings, or coarse-grained, the magnitude of its non-Gaussian component can vary. In this article, we investigate the variation of the “apparent” non-Gaussianity, as a function of the coarse-graining length, when we measure non-Gaussianity using the statistics of extrema in the field. We derive how the relative difference between maxima and minima—which is a geometrical measure of the field’s non-Gaussianity—behaves as the field is coarse-grained over increasingly larger length scales. Measuring this function can give extra information about the non-Gaussian statistics and facilitate its detection." @default.
• W3099554942 created "2020-11-23" @default.
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• W3099554942 date "2014-08-15" @default.
• W3099554942 modified "2023-10-16" @default.
• W3099554942 title "Geometrical Detection of Weak Non-Gaussianity upon Coarse-Graining" @default.
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• W3099554942 doi "https://doi.org/10.1007/s10955-014-1088-6" @default.
• W3099554942 hasPublicationYear "2014" @default.
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