On the Convergence of Optimal Measures - Mathematics > Complex Variables

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

Author: T. Bloom, L. Bos, N. Levenberg, S. Waldron

Source: https://arxiv.org/