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New method for initial density reconstruction

Shi, Yanlong; Cautun, Marius; Li, Baojiu

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Yanlong Shi

Marius Cautun


A theoretically interesting and practically important question in cosmology is the reconstruction of the initial density distribution provided a late-time density field. This is a long-standing question with a revived interest recently, especially in the context of optimally extracting the baryonic acoustic oscillation (BAO) signals from observed galaxy distributions. We present a new efficient method to carry out this reconstruction, which is based on numerical solutions to the nonlinear partial differential equation that governs the mapping between the initial Lagrangian and final Eulerian coordinates of particles in evolved density fields. This is motivated by numerical simulations of the quartic Galileon gravity model, which has similar equations that can be solved effectively by multigrid Gauss-Seidel relaxation. The method is based on mass conservation, and does not assume any specific cosmological model. Our test shows that it has a performance comparable to that of state-of-the-art algorithms that were very recently put forward in the literature, with the reconstructed density field over ∼80% (50%) correlated with the initial condition at k ≲ 0.6 h=Mpc (1.0 h=Mpc). With an example, we demonstrate that this method can significantly improve the accuracy of BAO reconstruction.


Shi, Y., Cautun, M., & Li, B. (2018). New method for initial density reconstruction. Physical Review D, 97(2), Article 023505.

Journal Article Type Article
Online Publication Date Jan 8, 2018
Publication Date Jan 1, 2018
Deposit Date Jan 25, 2018
Publicly Available Date Jan 25, 2018
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 97
Issue 2
Article Number 023505
Public URL


Published Journal Article (1.1 Mb)

Copyright Statement
Reprinted with permission from the American Physical Society: Shi, Yanlong, Cautun, Marius & Li, Baojiu (2018). New method for initial density reconstruction. Physical Review D 97(2): 023505 © (2018) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.

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