Reconstruction of the primordial Universe by a Monge--Ampere--Kantorovich optimisation scheme

Details Reconstruction of the primordial Universe by a Monge--Ampere--Kantorovich optimisation scheme Reconstruction of the primordial Universe by a Monge--Ampere--Kantorovich optimisation scheme

2003-01-31

arxiv.org/abs/astro-ph/0301641v1

Astron.Astrophys. 406 (2003) 393-401

Astronomy and Astrophysics

Astrophysics

14 pages, 10 figures

Scientific paper

10.1051/0004-6361:20030719

A method for the reconstruction of the primordial density fluctuation field is presented. Various previous approaches to this problem rendered {\it non-unique} solutions. Here, it is demonstrated that the initial positions of dark matter fluid elements, under the hypothesis that their displacement is the gradient of a convex potential, can be reconstructed uniquely. In our approach, the cosmological reconstruction problem is reformulated as an assignment problem in optimisation theory. When tested against numerical simulations, our scheme yields excellent reconstruction on scales larger than a few megaparsecs.

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