By Tom Bloom and others

Using recent results of Berman and Boucksom we show that for a non-pluripolar compact set K in C^d and an admissible weight function w=e^{-\phi} any sequence of so-called optimal measures converges weak-* to the equilibrium measure \mu_{K,\phi} of (weighted) Pluripotential Theory for K,\phi.

August 6, 2008

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On the Convergence of Optimal Measures

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