# Reconstruction of the early Universe as a convex optimization problem

@article{Brenier2003ReconstructionOT, title={Reconstruction of the early Universe as a convex optimization problem}, author={Yann Brenier and Uriel Frisch and Michel H{\'e}non and Gr{\'e}goire Loeper and S. Matarrese and Roya Mohayaee and Andrei Sobolevskii}, journal={Monthly Notices of the Royal Astronomical Society}, year={2003}, volume={346}, pages={501-524} }

We show that the deterministic past history of the Universe can be uniquely reconstructed from knowledge of the present mass density field, the latter being inferred from the three-dimensional distribution of luminous matter, assumed to be tracing the distribution of dark matter up to a known bias. Reconstruction ceases to be unique below those scales – a few Mpc – where multistreaming becomes significant. Above 6 h−1 Mpc we propose and implement an effective Monge–Ampere–Kantorovich method of… Expand

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