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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 187, Pages 40–52 (Mi znsl4861)  

This article is cited in 1 scientific paper (total in 1 paper)

Continious limit for hermitian matrix model $\Phi^6$

A. R. Its, A. V. Kitaev
Full-text PDF (512 kB) Citations (1)
Abstract: Double scaling limit of hermitian matrix model $\Phi^6$ to the first Painlevé equation ($\mathbb{P}_1$) and the next higher equation in $\mathbb{P}_1$ hierarchy ($\mathbb{P}_1^2$) is studied. In the first case is proved to obtain the desired limit the contour of integration must be modified. In the second case is shown that the limit exists without any modification.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 4, Pages 436–445
DOI: https://doi.org/10.1007/BF02364566
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. R. Its, A. V. Kitaev, “Continious limit for hermitian matrix model $\Phi^6$”, Differential geometry, Lie groups and mechanics. Part 12, Zap. Nauchn. Sem. LOMI, 187, Nauka, St. Petersburg, 1991, 40–52; J. Math. Sci., 73:4 (1995), 436–445
Citation in format AMSBIB
\Bibitem{ItsKit91}
\by A.~R.~Its, A.~V.~Kitaev
\paper Continious limit for hermitian matrix model $\Phi^6$
\inbook Differential geometry, Lie groups and mechanics. Part~12
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 187
\pages 40--52
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4861}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111903}
\zmath{https://zbmath.org/?q=an:0834.34004|0746.34005}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 4
\pages 436--445
\crossref{https://doi.org/10.1007/BF02364566}
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  • https://www.mathnet.ru/eng/znsl/v187/p40
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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