# Boltzmann sampling of ordered structures

Abstract : Boltzmann models from statistical physics combined with methods from analytic combinatorics give rise to efficient algorithms for the random generation of combinatorials objects. This paper proposes an efficient sampler which satisfies the Boltzmann model principle for ordered structures. This goal is achieved using a special operator, named 'box operator'. Under an abstract real-arithmetic computation model, our algorithm is of linear complexity upon free generation ; and for many classical structures, of linear complexity also provided a small tolerance is allowed on the size of the object drawn. The resulting programs make it possible to generate random objects of sizes up to $10^7$ on a standard machine.
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Pré-publication, Document de travail
13 pages. 2009

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https://hal.archives-ouvertes.fr/hal-00411110
Contributeur : Olivier Roussel <>
Soumis le : mercredi 26 août 2009 - 10:42:18
Dernière modification le : mardi 30 mai 2017 - 01:00:54
Document(s) archivé(s) le : lundi 15 octobre 2012 - 16:25:45

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box_operator.pdf
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• HAL Id : hal-00411110, version 1

### Citation

Olivier Roussel, Michèle Soria. Boltzmann sampling of ordered structures. 13 pages. 2009. 〈hal-00411110〉

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