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- W3099342891 abstract "We present the general relationship between phase correlations and the hierarchy of polyspectra in the Fourier space, and a new theoretical understanding of the phase information is provided. Phase correlations are related to the polyspectra only through the nonuniform distributions of the phase sum θ + ··· + θ with closed wavevectors, 1 + ··· +N = 0. The exact relationship is given by the infinite series, which one can truncate in a consistent manner. The method to calculate the series to arbitrary order is explained, and the explicit expression of the first-order approximation is given. A numerical demonstration proves that the distribution of the phase sum is a robust estimator and provides an alternative statistic to search for the non-Gaussianity." @default.
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- W3099342891 date "2003-06-23" @default.
- W3099342891 modified "2023-09-23" @default.
- W3099342891 title "Phase Correlations in Non-Gaussian Fields" @default.
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- W3099342891 doi "https://doi.org/10.1086/377293" @default.
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