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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 4, Pages 483–493 (Mi jsfu95)  
This article is cited in 3 scientific papers (total in 3 papers)

On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics

Dmitry Yu. Pochekutov, Avgust K. Tsikh

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (207 kB) Citations (3)
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Abstract: We study asymptotics of the Laurent coefficients for meromorphic functions of several complex variables. We employ notions of complex hypersurface amoeba and logarithmic Gauss map. The main result of this note is the generalization of the Darwin-Fowler method for the vector energy spectrum case.
Keywords: Laurent coefficient, asymptotics, amoeba of hypersurface, logarithmic Gauss map, most probable state.
Received: 28.09.2009
Received in revised form: 28.10.2009
Accepted: 10.11.2009
UDC: 517.55
Language: Russian
Citation: Dmitry Yu. Pochekutov, Avgust K. Tsikh, “On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 483–493
Citation in format AMSBIB
\Bibitem{PocTsi09}
\by Dmitry~Yu.~Pochekutov, Avgust~K.~Tsikh
\paper On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 4
\pages 483--493
\mathnet{http://mi.mathnet.ru/jsfu95}
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  • https://www.mathnet.ru/eng/jsfu/v2/i4/p483
    • This publication is cited in the following 3 articles:
    1. Angelelli M., Konopelchenko B., “Zeros and Amoebas of Partition Functions”, Rev. Math. Phys., 30:9 (2018), 1850015  crossref  mathscinet  zmath  isi  scopus
    2. Mikhalkin E.N. Shchuplev A.V. Tsikh A.K., “Amoebas of Cuspidal Strata For Classical Discriminant”, Complex Analysis and Geometry, Kscv 10, Springer Proceedings in Mathematics & Statistics, 144, ed. Bracci F. Byun J. Gaussier H. Hirachi K. Kim K. Shcherbina N., Springer, 2015, 257–272  crossref  zmath  isi  scopus
    3. N. A. Bushueva, A. K. Tsikh, “On amoebas of algebraic sets of higher codimension”, Proc. Steklov Inst. Math., 279 (2012), 52–63  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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