Mathematics – Logic
Scientific paper
May 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aas...200.7706a&link_type=abstract
American Astronomical Society, 200th AAS Meeting, #77.06; Bulletin of the American Astronomical Society, Vol. 34, p.778
Mathematics
Logic
2
Scientific paper
The SDSS is a very good cluster finding machine. The precise 5 color photometry allows photometric redshift techniques that revolutionize methods of finding clusters in the optical: projection on scales greater than delta-z = 0.05 is no longer a problem. A corollary is that cluster finders become both powerful group finders and powerful redshift estimators. The statistics of the SDSS allows several scaling relations to be constructed: Ngals, Lambda, σ vel, and weak lensing shear may be measured and related. In particular, we find that the cluster galaxy number function may be constructed from 0.05 <= z <= 0.5. By using SDSS calibrated halo occupational number distribution theories, the number functions may be predicted. The implied mass functions agree well with the measured SDSS velocity dispersion function, but do not suffer from the cosmic variance problems of all z < 0.1 measures.The number functions are quite sensitive to the mass power spectrum. In particular, the σ 8/Ω m degeneracy is broken, and constraints on σ 8, the normalization of the power spectrum, may be placed. The other relevent cosmological parameters that affect the mass power spectrum are the dark matter mass density, the power spectrum index, and the neutrino mass density.
Annis James
Bahcall Neta
Dodelson Scott
Frieman Josh
Kent Stephen
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