In this paper, we prove that a compact set *K\subset \mathbb{C}^n* is the support of a weighted equilibrium measure if and only it is not pluripolar at each of its points extending a result of Saff and Totik to higher dimensions. Thus, we characterize the supports weighted equilibrium measures completely.... Show more

October 29, 2012

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Supports of Weighted Equilibrium Measures: Complete Characterization

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