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Electrostatic skeletons

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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Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalWElectrostatic skeletonspreprint / 2013AAlexandre EremenkoResearcherAErik LundbergResearcherAKoushik RamachandranResearcherTmath.AP9009 works
PaperSignal 104 links

Electrostatic skeletons

preprint / 2013

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