Point processes and stochastic displacement fields

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dc.creatorGabrielli, Andrea
dc.date2004-09-22
dc.date.accessioned2026-07-07T11:57:34Z
dc.date.available2026-07-07T11:57:34Z
dc.descriptionThe 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. A 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.
dc.description17 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0409594
dc.identifierhttp://arxiv.org/abs/cond-mat/0409594
dc.identifierPhys.Rev.E70:066131,2004
dc.identifierdoi:10.1103/PhysRevE.70.066131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205922
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.subjectOther Condensed Matter
dc.subjectProbability
dc.titlePoint processes and stochastic displacement fields
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