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Measurements of the Power Spectrum and Redshift Distortions of the Las Campanas Redshift Survey

TitleMeasurements of the Power Spectrum and Redshift Distortions of the Las Campanas Redshift Survey
Publication TypeThesis
Year of Publication2000
AuthorsCulhane, MPP
Abstract

I present a new method for extracting power spectra from galaxy redshift surveys called the pair weight compression method. I then apply the method to determine the redshift power spectrum of the Las Campanas Redshift Survey (LCRS). The measured redshift power spectrum has the same shape as that found by Lin et al. (1996b) but is a factor of 2 smaller. Upon expanding the method to include linear redshift distortions, the method is able to measure real space power spectra and β. β ≈ Ωm0.6/b where β is the linear redshift distortion parameter, Ωm is the cosmological density of matter and b is the linear galaxy to mass "bias factor."  Applying the method to LCRS yields a real space power spectrum that is very similar to the redshift space power spectrum. The measured value of β ≈.55+.35-.30 is larger than, but consistent with, a previous measurement by Matsubara et al. (2000).