Fekete points

Summary

Let $K$ be a compact set in the plane. Fekete points of $K$ are $n$ points of $K$ that make the product of their mutual distances as large as possible. They realize the $n$-th diameter in the definition of the transfinite diameter. Let $K$ have positive capacity. As $n$ grows, the uniform distribution on the Fekete points tends to the equilibrium measure of $K$. They are used as interpolation nodes and as discrete models of an electric charge in equilibrium.