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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
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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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    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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