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arXiv · 2603.04649

Riesz energy deformation through insulated strips

Carrie Clark·Richard S. Laugesen
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Abstract

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 P\'{o}lya and Szeg\H{o}.

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Carrie Clark, Richard S. Laugesen. 2026-03-04. Riesz energy deformation through insulated strips. https://arxiv.org/abs/2603.04649

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