Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2005, Volume 326, Pages 145–182 (Mi znsl341)  
This article is cited in 107 scientific papers (total in 107 papers)

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

G. L. Litvinov

Independent University of Moscow
Full-text PDF (438 kB) Citations (107)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl341
  • https://www.mathnet.ru/eng/znsl/v326/p145
    • This publication is cited in the following 107 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:1882
    Full-text PDF :1088
    References:67
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024