Volume computation for polytopes and partition functions for classical root systems
Combinatorics
2007-05-25 v2 Representation Theory
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.
Cite
@article{arxiv.math/0504231,
title = {Volume computation for polytopes and partition functions for classical root systems},
author = {M. Welleda Baldoni and Matthias Beck and Charles Cochet and Michele Vergne},
journal= {arXiv preprint arXiv:math/0504231},
year = {2007}
}
Comments
55 pages, 14 figures. Maple programs available at http://www.math.polytechnique.fr/~vergne/work/IntegralPoints.html