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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 326, Pages 145–182 (Mi znsl341)  
This article is cited in 106 scientific papers (total in 106 papers)

The Maslov dequantization, idempotent and tropical mathematics: a brief introduction

G. L. Litvinov

Independent University of Moscow
Full-text PDF (438 kB) Citations (106)
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Abstract: This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over numerical fields as the Planck constant $\hbar$ tends to zero taking imaginary values.
Received: 19.06.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 3, Pages 426–444
DOI: https://doi.org/10.1007/s10958-007-0450-5
Bibliographic databases:
UDC: 517.958:530.145, 514.84
Language: Russian
Citation: G. L. Litvinov, “The Maslov dequantization, idempotent and tropical mathematics: a brief introduction”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Zap. Nauchn. Sem. POMI, 326, POMI, St. Petersburg, 2005, 145–182; J. Math. Sci. (N. Y.), 140:3 (2007), 426–444
Citation in format AMSBIB
\Bibitem{Lit05}
\by G.~L.~Litvinov
\paper The Maslov dequantization, idempotent and tropical mathematics: a~brief introduction
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 326
\pages 145--182
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2183219}
\zmath{https://zbmath.org/?q=an:1102.46049}
\elib{https://elibrary.ru/item.asp?id=9127012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 3
\pages 426--444
\crossref{https://doi.org/10.1007/s10958-007-0450-5}
\elib{https://elibrary.ru/item.asp?id=13554034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845730844}
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    • This publication is cited in the following 106 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:66
     
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