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arXiv · 1309.5483

Electrostatic skeletons

Alexandre Eremenko·Erik Lundberg·Koushik Ramachandran
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Abstract

Let u be the equilibrium potential of a compact set K. An electrostatic skeleton of K is a positive measure whose closed support has connected complement and no interior, and whose potential is equal to u near infinity. We prove the existence of an electrostatic skeleton for any simplex.

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Alexandre Eremenko, Erik Lundberg, Koushik Ramachandran. 2013-11-17. Electrostatic skeletons. https://arxiv.org/abs/1309.5483

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