Geodesic
Application of optimal transport theory to reconstruction of the early Universe
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part XI, Tome 312 (2004), pp. 303-309 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of deterministic reconstruction of the past kinetic history of the Universe is shown to be reduced, within the Zel'dovich approximation, to solving a Monge–Ampère equation. A variational representation, due to Y. Brenier, is then employed to devise a “Monge–Ampère–Kantorovich” numerical method of cosmological reconstruction. Results of testing and application of this method are discussed. 
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A. N. Sobolevskii; U. Frisch. Application of optimal transport theory to reconstruction of the early Universe. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part XI, Tome 312 (2004), pp. 303-309. http://geodesic.mathdoc.fr/item/ZNSL_2004_312_a20/

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