Dolomites Research Notes on Approximation

The notion of asymptotic Fekete arrays, arrays of points in a compact set K ⊂ Cd which behave asymptotically like Fekete arrays, has been well-studied, albeit much more recently in dimensions d > 1. Here we show that one can allow a more flexible definition where the points in the array need not lie in K. Our results, which work in the general setting of weighted pluripotential theory, rely heavily, in the multidimensional setting, on the ground-breaking work of Berman, Boucksom and Nystrom from [3].