The luminosity dependence of clustering and higher order correlations in the PSCz survey

Abstract

We investigate the spatial clustering of galaxies in the PSCz galaxy redshift survey, as revealed by the two-point correlation function, the luminosity mark correlations, and the moments of counts-in-cells. We construct volume-limited subsamples at different depths, and search for a luminosity dependence of the clustering pattern. We find no statistically significant effect in either the two-point correlation function or the mark correlations and so we take each subsample (of different characteristic luminosity) as representing the same statistical process. We then carry out a counts-in-cells analysis of the volume-limited subsamples, including a rigorous error calculation based on the recent theory of Szapudi, Colombi and Bernardeau. In this way, we derive the best estimates to date of the skewness and kurtosis of IRAS galaxies in redshift space. Our results agree well with previous measurements in both the parent angular catalogue, and in the derived redshift surveys. This is in contrast with smaller, optically selected surveys, were there is a discrepancy between the redshift space and projected measurements. Predictions from cold dark matter theory, obtained using the recent semi-analytical model of galaxy formation of Benson {\it et al}, provide an excellent description of our clustering data.

arXiv comment6 pages, 3 figures, accepted for publication in MNRAS pink pages

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• Correlations in the orientations of galaxy clusters
• The Real Space Power Spectrum of the PSCz Survey from 0.01 to 300 h/Mpc
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• The 2dF Galaxy Redshift Survey: Hierarchical galaxy clustering
• Spatial correlation functions and the pairwise peculiar velocity dispersion of galaxies in the PSCz survey: implications for the galaxy biasing in cold dark matter models
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• The redshift-space two-point correlation functions of galaxies and groups in the Nearby Optical Galaxy sample
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• The Imperial IRAS-FSC Redshift Catalogue: luminosity functions, evolution and galaxy bias
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field
• Conditional Cumulants in Weakly Non-linear Regime
• The Spatial Range of Conformity
• The Redshift-Space Two Point Correlation Function of ELAIS-S1 Galaxies
• Luminosity segregation versus fractal scaling in the galaxy distribution
• Indicator Functions: Distilling the Information from Gaussian Random Fields
• Colour Dependence of the Distribution of IRAS Galaxies revealed by Multifractal Measures
• Indicator Power Spectra: Surgical Excision of Non-linearities and Covariance Matrices for Counts in Cells