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arXiv · 1012.0471

Supports of Weighted Equilibrium Measures and Examples

Muhammed Ali Alan
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Abstract

We analyze the supports of weighted equilibrium measures in $\mathbb{C}^n$. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible weight $w$. These examples also give new constructions of plurisubharmonic functions in the Lelong class. We also include a list of open problems on the support of extremal measures which are related to solutions of Monge-{A}mpère equations.

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Muhammed Ali Alan. 2010-12-02. Supports of Weighted Equilibrium Measures and Examples. https://arxiv.org/abs/1012.0471

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