Reconstruction of the Large Scale Structure

The large scale structure of the universe is reconstructed by means of the Wiener filter and constrained realizations of Gaussian fields. The density field constructed from optically selected galaxies (Hudson \cite{Hudson}) has been sampled out to a distance of $80\hmpc$. This data set is used for the reconstruction of the underlying primordial perturbation field. A preliminary reconstruction analysis from the IRAS $1.9Jy$ density field is presented here for the sake of comparison. The perturbation field within a cube of $160\hmpc$ on the side, centered on the Local Group, and with Gaussian smoothing of length $10\hmpc$ is reconstructed, assuming the standard CDM model. In particular, the density field at the Zone of Avoidance is studied. A preliminary maximum likelihood analysis performed on Hudson's data shows that it is consistent with a tilted CDM with $n\sim -0.5\pm 0.3$ and $\sigma_8\sim 1.4\pm 0.15$