Joel Nathe

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math.CA2026

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 $I_{K} (I^¼) = \int_{I^} c ◯ \int_{I^} c ◯ K (x, y) d I^¼ (x) d I^¼ (y)$ over all Borel probability measures $I^¼$ , where $(I^c ◯, I ¨ )$ is a compact connected m…

math.CA2024

Geodesic Distance Riesz Energy on Projective Spaces

Dmitriy Bilyk, Ryan W. Matzke, Joel Nathe

We study probability measures that minimize the Riesz energy with respect to the geodesic distance $ϑ (x, y)$ on projective spaces $FP^{d}$ (such energies arise from…