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

Abstract

We present the first results of the Karhunen-Lo\`eve (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, $\sigma_8^{\rm L}$, 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 $\sigma_8^{\rm L} = 0.79 \pm 0.08$, which are consistent with a low density universe, $\Omega_0 \simlt 0.5$.