Percolation Analysis of a Wiener Reconstruction of the IRAS 1.2 Jy Redshift Catalog

Abstract

We present percolation analyses of Wiener Reconstructions of the IRAS 1.2 Jy Redshift Survey. There are ten reconstructions of galaxy density fields in real space spanning the range $\beta =0.1$ to $1.0$, where $\beta ={\Omega }^{0.6}/b$, $\Omega$ is the present dimensionless density and $b$ is the bias factor. Our method uses the growth of the largest cluster statistic to characterize the topology of a density field, where Gaussian randomized versions of the reconstructions are used as standards for analysis. For the reconstruction volume of radius, $R\approx 100h^{-1}$ Mpc, percolation analysis reveals a slight `meatball' topology for the real space, galaxy distribution of the IRAS survey. cosmology-galaxies:clustering-methods:numerical

Revised version accepted for publication in The Astrophysical Journal, January 10, 1997 issue, Vol.474