Supports of Weighted Equilibrium Measures: Complete Characterization |
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| Authors: | Muhammed Ali Alan Nihat Gökhan Göğüş |
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| Affiliation: | 1. Syracuse University, Syracuse, NY, 13244, USA
2. Sabanci University, Orhanli, Tuzla, 34956, Istanbul, Turkey
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| Abstract: | In this paper, we prove that a compact set K???? 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 of weighted equilibrium measures completely. Our proof is a new proof even in one dimension. |
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