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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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
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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. [PUBLICATION ABSTRACT]
AbstractList 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]
Author Baldoni, M. Welleda
Beck, Matthias
Cochet, Charles
Vergne, Michele
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Snippet 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...
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SubjectTerms Algorithms
Geometry
Laplace transforms
Polytopes
Title Volume Computation for Polytopes and Partition Functions for Classical Root Systems
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