# On the convergence of optimal measures

## Abstract:

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

Keywords: weighted optimal measure, weighted transfinite diameter, weighted equilibrium measure

Math Review Classification: 32U20, 41A63

Length: 23 pages

Last Updated: 15 August 2008