On the Convergence of Optimal Measures
Complex Variables
2008-08-07 v1 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.0808.0762,
title = {On the Convergence of Optimal Measures},
author = {T. Bloom and L. Bos and N. Levenberg and S. Waldron},
journal= {arXiv preprint arXiv:0808.0762},
year = {2008}
}