3 problems

Let $I_Z=\mathbb{R}^d$ have Gaussian weight … where $c$ is a normalizing constant. Sampling is prescribed according to the density … where $C$ is a normalization constant. Weighted…

Abrikosov's conjecture. Fekete points should be organized as nodes of a honeycomb lattice relative to the conformal metric, perhaps with slight disturbances near the boundary.

Weighted Fekete conjecture. The measures $\mu_n$ converge weakly to the weighted equilibrium measure of the pair $(K,w)$ as $n\to\infty$.