On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 483-493
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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.
Mots-clés :
Laurent coefficient, logarithmic Gauss map
Keywords: asymptotics, amoeba of hypersurface, most probable state.
Keywords: asymptotics, amoeba of hypersurface, most probable state.
@article{JSFU_2009_2_4_a9,
author = {Dmitry Yu. Pochekutov and Avgust K. Tsikh},
title = {On the {Asymptotics} of {Laurent} {Coefficients} and its {Application} in {Statistical} {Mechanics}},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {483--493},
publisher = {mathdoc},
volume = {2},
number = {4},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a9/}
}
TY - JOUR AU - Dmitry Yu. Pochekutov AU - Avgust K. Tsikh TI - On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2009 SP - 483 EP - 493 VL - 2 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a9/ LA - ru ID - JSFU_2009_2_4_a9 ER -
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Dmitry Yu. Pochekutov; Avgust K. Tsikh. On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 483-493. http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a9/