On the correlation structure of some random point processes on the line

Joël de Coninck, François Dunlop and Thierry Huillet

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 4, 725-744

Abstract: The correlation structure of some remarkable point processes on the one-dimensional real line is investigated. More specifically, focus is on translation invariant determinantal, permanental and/or renewal point processes. In some cases, anomalous (non-Poissonian) fluctuations for the number of points in a large window can be observed. This may be read from the total correlation function of the point process. We try to understand when and why this occurs and what are the anomalous behaviors to be expected.

Keywords: Random systems; Determinantal, permanental and renewal point processes on the line; Correlation functions; Sub- and super-homogeneous point processes; Anomalous fluctuations (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:4:p:725-744

DOI: 10.1016/j.physa.2007.10.018

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