The hexagonal lattice is universally locally optimal
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909887820201984 |
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| author | Leblé, Thomas |
| author_facet | Leblé, Thomas |
| contents | We prove that the hexagonal lattice is a local minimizer, among all point configurations, of the interaction energy per unit volume for pair potentials that are completely monotonic functions of the square distance. This includes Gaussian interactions and power laws. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The hexagonal lattice is universally locally optimal Leblé, Thomas Metric Geometry Mathematical Physics We prove that the hexagonal lattice is a local minimizer, among all point configurations, of the interaction energy per unit volume for pair potentials that are completely monotonic functions of the square distance. This includes Gaussian interactions and power laws. |
| title | The hexagonal lattice is universally locally optimal |
| topic | Metric Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2511.03353 |