160 citations · 237 across the 8 of their papers we have counts for
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astro-ph2007★ 13 cited
The Monge-Ampère-Kantorovich approach to reconstruction in cosmology
Roya Mohayaee, Andrei Sobolevskii
Motion of a continuous fluid can be decomposed into an "incompressible" rearrangement, which preserves the volume of each infinitesimal fluid element, and a gradient map that trans…
astro-ph2003★ 160 cited
Reconstruction of the early Universe as a convex optimization problem
Y. Brenier, U. Frisch, M. Henon +4
We show that the deterministic past history of the Universe can be uniquely reconstructed from the knowledge of the present mass density field, the latter being inferred from the 3…
astro-ph2003★ 29 cited
Reconstruction of the primordial Universe by a Monge--Ampere--Kantorovich optimisation scheme
R. Mohayaee, U. Frisch, S. Matarrese +1
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…