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Exponential Green energies, quantization, and minimizers on compact Riemann surfaces

Hedenmalm, Haakan et al.
arXiv (All) · Papers
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49q22complex-variablesdifferential-geometry
We study the exponential Green energies associated with a finite point configuration on a Riemann surface. We focus on studying optimal or close-to-optimal configurations, and show that they must be well-spread out on the surface. We study in particular the round sphere and obtain values for the min
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