On the Convergence of Optimal Measures

Details On the Convergence of Optimal Measures On the Convergence of Optimal Measures

2008-08-06

arxiv.org/abs/0808.0762v1

Mathematics

Complex Variables

Scientific paper

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.

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