S. Damelin

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20172025

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math.CA2024

Subharmonic Kernels and Energy Minimizing Measures, with Applications to the Flat Torus

Steven B. Damelin, Joel Nathe

We study the minimization of the energy integral $I_{K} (μ) = \int_{Ω} \int_{Ω} K (x, y) d μ (x) d μ (y)$ over all Borel probability measures $μ$ , where $(Ω, ρ)$ is a compact connected metric sp…

math.CA2017

A Koksma-Hlawka-Potential Identity on the $d$ Dimensional Sphere and its Applications to Discrepancy

S. B. Damelin

Let $d \geq 2$ be an integer, $S^{d} \subset R^{d + 1}$ the unit sphere and $σ$ a finite signed measure whose positive and negative parts are supported on $S^{d}$ with finite ene…

Subharmonic Kernels and Energy Minimizing Measures, with Applications to the Flat Torus

A Koksma-Hlawka-Potential Identity on the d Dimensional Sphere and its Applications to Discrepancy

A Koksma-Hlawka-Potential Identity on the $d$ Dimensional Sphere and its Applications to Discrepancy