On the convergence of optimal measures
Tom Bloom, Len Bos, Norm Levenberg and Shayne Waldron
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
Availability: