Conditional Density Analysis of The Hubble Deep Field

Mathematics – Logic

Scientific paper

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Scientific paper

The Hubble Deep Field galaxy data set is reanalyzed using conditional density methods which are more suitable for distributions of unknown correlation structure than n-point correlation statistics or the related power spectrum analyses. The large scale distribution of galaxies is known to exhibit power-law correlation on small scales (perhaps up to tens of mega-parsecs) and is thought to become uncorrelated (homogeneous) on large enough scales. This sample is used to probe much larger scales and the initial angular analysis presented here shows no evidence for a change in correlation structure. This implies that the large scale distribution of luminous matter may in fact be power-law correlated on all scales. This has strong implications for current cosmological models based on the Robertson-Walker metric which describes a homogeneous space of constant curvature.
Support for this work has been provided by the NSF through the Research Experience for Undergraduates, which was hosted by the University of Hawai`i at Manoa and the Institute for Astronomy.

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