Dmitry Yu. Pochekutov, Avgust K. Tsikh, “On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics”, J. Sib. Fed. Univ. Math. Phys., 2009, Volume 2, Issue 4,Pages <nobr>483

This article is cited 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.

UDC: 517.55

Received: 28.09.2009
Received in revised form: 28.10.2009
Accepted: 10.11.2009