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Volume computation for polytopes and partition functions for classical root systems

M. Welleda Baldoni·Matthias Beck·Charles Cochet·Michele Vergne
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Abstract

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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M. Welleda Baldoni, Matthias Beck, Charles Cochet, Michele Vergne. 2005-06-15. Volume computation for polytopes and partition functions for classical root systems. https://arxiv.org/abs/math/0504231

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