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| HAL: hal-00434287, version 1 |
| arXiv: 0911.4361 |
| Detailed view |  Export this paper |
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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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| (2009-11-21) |
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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 |
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| 3: | Modélisation aléatoire de Paris X (MODAL'X) |
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Université Paris Ouest Nanterre La Défense |
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| 4: | Laboratoire de Probabilités et Modèles Aléatoires (PMA) |
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CNRS : UMR7599 – Université Pierre et Marie Curie - Paris VI – Université Paris-Diderot - Paris VII |
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| Subject | : | Mathematics/Metric Geometry |
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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/en/ | |
| oai:hal.archives-ouvertes.fr:hal-00434287_v1 | |
| From: Nathanael Enriquez | |
| Submitted on: Sunday, 22 November 2009 22:52:51 | |
| Updated on: Monday, 23 November 2009 11:54:16 | |
