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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 312, Pages 303–309 (Mi znsl785)  
This article is cited in 7 scientific papers (total in 7 papers)

Application of optimal transport theory to reconstruction of the early Universe

A. N. Sobolevskiia, U. Frischb

a M. V. Lomonosov Moscow State University
b Observatoire de la Côte d'Azur
Full-text PDF (150 kB) Citations (7)
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Abstract: 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.
Received: 04.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 4, Pages 1539–1542
DOI: https://doi.org/10.1007/s10958-006-0068-z
Bibliographic databases:
UDC: 517.958: [531.123.6+521.12+523.11], 517.972.5
Language: Russian
Citation: A. N. Sobolevskii, U. Frisch, “Application of optimal transport theory to reconstruction of the early Universe”, Representation theory, dynamical systems. Part XI, Special issue, Zap. Nauchn. Sem. POMI, 312, POMI, St. Petersburg, 2004, 303–309; J. Math. Sci. (N. Y.), 133:4 (2006), 1539–1542
Citation in format AMSBIB
\Bibitem{SobFri04}
\by A.~N.~Sobolevskii, U.~Frisch
\paper Application of optimal transport theory to reconstruction of the early Universe
\inbook Representation theory, dynamical systems. Part~XI
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 312
\pages 303--309
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl785}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117895}
\zmath{https://zbmath.org/?q=an:1114.85006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 4
\pages 1539--1542
\crossref{https://doi.org/10.1007/s10958-006-0068-z}
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  • https://www.mathnet.ru/eng/znsl/v312/p303
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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