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- W2036853204 abstract "The effect of a stochastic displacement field on a statistically independent point process is analyzed. Stochastic displacement fields can be divided into two large classes: spatially correlated and uncorrelated. For both cases exact transformation equations for the two-point correlation function and the power spectrum of the point process are found, and a detailed study of them with important paradigmatic examples is done. The results are general and in any dimension. Particular attention is devoted to the kind of large-scale correlations that can be introduced by the displacement field and to the realizability of arbitrary ``superhomogeneous'' point processes." @default.
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- W2036853204 date "2004-12-01" @default.
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- W2036853204 title "Point processes and stochastic displacement fields" @default.
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- W2036853204 doi "https://doi.org/10.1103/physreve.70.066131" @default.
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