C. Yess et al., PERCOLATION ANALYSIS OF A WIENER RECONSTRUCTION OF THE IRAS-1.2-JY REDSHIFT CATALOG, The Astrophysical journal, 474(2), 1997, pp. 553-560
We present percolation analyses of Wiener reconstructions of the IRAS
1.2 Jy redshift survey. There are 10 reconstructions of galaxy density
fields in real space spanning the range beta = 0.1-1.0, 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 statis
tic to characterize the topology of a density held, where Gaussian ran
domized versions of the reconstructions are used as standards for anal
ysis. For the reconstruction volume of radius R approximate to 100 h(-
1) Mpc, percolation analysis reveals a slight ''meatball'' topology fo
r the real space, galaxy distribution of the IRAS survey.