On the Convergence of Optimal Measures

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^{-ϕ} any sequence of so-called optimal measures converges weak-* to the equilibrium measure μ_{K,ϕ} of (weighted) Pluripotential Theory for K,ϕ.

References in corpus (2)

• Bergman kernels for weighted polynomials and weighted equilibrium measures of C^n
• Transfinite diameter notions in C^N and integrals of Vandermonde determinants

Cited by in corpus (1)

• Fekete points and convergence towards equilibrium measures on complex manifolds