Application of the iterative reconstruction to simulated galaxy fields
Ryuichiro Hada, Daniel J. Eisenstein

TL;DR
This paper demonstrates that an iterative reconstruction method improves the recovery of initial linear density fields from galaxy mock data in both real and redshift space, outperforming standard methods especially in reconstructing anisotropic components.
Contribution
The study introduces an iterative reconstruction approach that enhances the accuracy of initial density field recovery from galaxy data, surpassing standard methods in both real and redshift space.
Findings
Iterative method better reconstructs initial density fields than standard methods.
Performance decreases with lower galaxy number density due to sparseness.
Reconstruction accuracy is robust against bias estimation errors (~20%).
Abstract
We apply an iterative reconstruction method to galaxy mocks in redshift space obtained from -body simulations. Comparing the two-point correlation functions for the reconstructed density field, we find that although the performance is limited by shot noise and galaxy bias compared to the matter field, the iterative method can still reconstruct the initial linear density field from the galaxy field better than the standard method both in real and in redshift space. Furthermore, the iterative method is able to reconstruct both the monopole and quadrupole more precisely, unlike the standard method. We see that as the number density of galaxies gets smaller, the performance of reconstruction gets worse due to the sparseness. However, the precision in the determination of bias () hardly impacts on the reconstruction processes.
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