The p-widths of a polygon
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908351489638400 |
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| author | Chodosh, Otis Cholsaipant, Sithipont |
| author_facet | Chodosh, Otis Cholsaipant, Sithipont |
| contents | The $p$-widths are a nonlinear analogue of the spectrum of the Laplacian. We prove that each $p$-width of a polygon in $\mathbb{R}^2$ is achieved by a union of billiard trajectories. We also compute the $p$-widths of the equilateral triangle for $p=1,\dots,4$ and square for $p=1,\dots,3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03047 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The p-widths of a polygon Chodosh, Otis Cholsaipant, Sithipont Differential Geometry The $p$-widths are a nonlinear analogue of the spectrum of the Laplacian. We prove that each $p$-width of a polygon in $\mathbb{R}^2$ is achieved by a union of billiard trajectories. We also compute the $p$-widths of the equilateral triangle for $p=1,\dots,4$ and square for $p=1,\dots,3$. |
| title | The p-widths of a polygon |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.03047 |