Riesz energy deformation through insulated strips
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915835477491712 |
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| author | Clark, Carrie Laugesen, Richard S. |
| author_facet | Clark, Carrie Laugesen, Richard S. |
| contents | For compact sets in Euclidean space, Riesz energies whose exponents differ by $1$ are shown to arise as the endpoint cases of a one-parameter family of infinite-strip energies as the strip thickness increases from $0$ to $\infty$, under Neumann boundary conditions. An approach is suggested to a capacity conjecture of Pólya and Szegő. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04649 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Riesz energy deformation through insulated strips Clark, Carrie Laugesen, Richard S. Classical Analysis and ODEs 31B15 For compact sets in Euclidean space, Riesz energies whose exponents differ by $1$ are shown to arise as the endpoint cases of a one-parameter family of infinite-strip energies as the strip thickness increases from $0$ to $\infty$, under Neumann boundary conditions. An approach is suggested to a capacity conjecture of Pólya and Szegő. |
| title | Riesz energy deformation through insulated strips |
| topic | Classical Analysis and ODEs 31B15 |
| url | https://arxiv.org/abs/2603.04649 |