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

Astronomy and Astrophysics – Astrophysics

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

Scientific paper

10.1086/303496

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} 100 h^{-1} $ Mpc, percolation analysis reveals a slight `meatball' topology for the real space, galaxy distribution of the IRAS survey. cosmology-galaxies:clustering-methods:numerical

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