Volume Computation for Polytopes and Partition Functions for Classical Root Systems

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. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published inDiscrete & computational geometry Vol. 35; no. 4; pp. 551 - 595
Main Authors Baldoni, M. Welleda, Beck, Matthias, Cochet, Charles, Vergne, Michele
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.05.2006
Subjects
Algorithms
Geometry
Laplace transforms
Polytopes
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Summary: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. [PUBLICATION ABSTRACT]
ISSN:0179-5376
1432-0444
DOI:10.1007/s00454-006-1234-2