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.

Gabrielli, A. (2004). Point processes and stochastic displacement fields. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 70(6 Pt 2), 066131 [10.1103/PhysRevE.70.066131].

Point processes and stochastic displacement fields

Gabrielli, Andrea
2004-01-01

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.
2004
Gabrielli, A. (2004). Point processes and stochastic displacement fields. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 70(6 Pt 2), 066131 [10.1103/PhysRevE.70.066131].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/358320
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