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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 4, Pages 483–493
(Mi jsfu95)
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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
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
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
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https://www.mathnet.ru/eng/jsfu95 https://www.mathnet.ru/eng/jsfu/v2/i4/p483
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Abstract page: | 834 | Full-text PDF : | 222 | References: | 87 |
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