Cosmological Parameters from the Eigenmode Analysis of the Las Campanas Redshift Survey

Abstract

We present the first results of the Karhunen-Loève (KL) eigenmodes applied to real data of the Las Campanas Redshift Survey (LCRS) to simultaneously measure the values of the redshift-distortion parameter, $\beta ={\Omega }_0^{0.6}/b$, the linearly extrapolated normalization, ${\sigma }_8^{\mathrm{L}}$, and the CDM shape parameter, $\Gamma ={\Omega }_{0}h$. The results of our numerical likelihood analysis indicate a low value of $\beta =0.30\pm 0.39$, a shape parameter $\Gamma =0.16\pm 0.10$, and a linearly extrapolated normalization ${\sigma }_8^{\mathrm{L}}=0.79\pm 0.08$, which are consistent with a low density universe, $Ω_0 \simlt 0.5$.

11 pages LaTeX, 2 figures, To appear in ApJ Letters