Volume computation for polytopes and partition functions for classical root systems

Details Volume computation for polytopes and partition functions for classical root systems Volume computation for polytopes and partition functions for classical root systems

2005-04-11

arxiv.org/abs/math/0504231v2

Discrete & Computational Geometry 35 (2006), 551-595

Mathematics

Combinatorics

55 pages, 14 figures. Maple programs available at http://www.math.polytechnique.fr/~vergne/work/IntegralPoints.html

Scientific paper

This paper presents an algorithm to compute the value of the inverse Laplace
transforms of rational functions with poles on arrangements of hyperplanes. As
an application, we present an efficient computation of the partition function
for classical root systems.

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