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| HAL : hal-00434287, version 1 |
| arXiv : 0911.4361 |
| Fiche détaillée |  Récupérer au format |
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| Jarnik's convex lattice $n$-gon for non-symmetric norms |
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| Imre Barany 1, 2Nathanael Enriquez 3, 4 |
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| (21/11/2009) |
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| What is the minimum perimeter of a convex lattice $n$-gon? This question was answered by Jarnik in 1926. We solve the same question in the case when perimeter is measured by a (not necessarily symmetric) norm. |
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| 1 : | Rényi Institute |
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Hungarian Academy of Sciences |
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| 2 : | Department of Mathematics UCL |
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University College of London (UCL) |
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| 3 : | Modélisation aléatoire de Paris X (MODAL'X) |
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Université Paris X - Paris Ouest Nanterre La Défense |
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| 4 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
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| Rényi Institute Hungarian Academy of Sciences, Modal'X Paris-Ouest |
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| Domaine | : | Mathématiques/Géométrie métrique |
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| convex lattice polygon – isoperimetric problem – variational problem |
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| hal-00434287, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00434287 | |
| oai:hal.archives-ouvertes.fr:hal-00434287 | |
| Contributeur : Nathanael Enriquez | |
| Soumis le : Dimanche 22 Novembre 2009, 22:52:51 | |
| Dernière modification le : Lundi 23 Novembre 2009, 11:54:16 | |
