Alignments of clustered quasars

Mathematics – Logic

Scientific paper

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Quasars, Spatial Distribution, Star Clusters, Statistical Analysis, Alignment, Clumps, Random Processes

Scientific paper

The authors derive an analytic expression for the expected number of triplet alignments in a clustered field in terms of the two- and three-point correlation functions of the field. The existence of non-random clustering increases the number of alignments expected to arise by chance. The authors apply this general result to the quasar fields examined previously for alignments and conclude that, although the possibility that a small fraction of quasars do exist in physically associated triplets cannot be entirely excluded by statistical arguments, there is no significant evidence for the existence of more well-aligned triplets of quasars than would arise purely by chance if their redshifts were all cosmological.

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