A note on generating Voronoi cells with a given size distribution
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912529730502656 |
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| author | Stadler, Georg De Diego, Gonzalo G. |
| author_facet | Stadler, Georg De Diego, Gonzalo G. |
| contents | This note describes a simple method to draw random points such that the cells of the corresponding Voronoi tesselation (approximately) satisfy a desired size distribution, for instance, follow a power law. The method is illustrated and numerically verified in two dimensions, and we also provide a simple implementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on generating Voronoi cells with a given size distribution Stadler, Georg De Diego, Gonzalo G. Numerical Analysis Statistical Mechanics Probability This note describes a simple method to draw random points such that the cells of the corresponding Voronoi tesselation (approximately) satisfy a desired size distribution, for instance, follow a power law. The method is illustrated and numerically verified in two dimensions, and we also provide a simple implementation. |
| title | A note on generating Voronoi cells with a given size distribution |
| topic | Numerical Analysis Statistical Mechanics Probability |
| url | https://arxiv.org/abs/2508.06630 |