Continuous Energy and Its Relation to Discrete Energy

Abstract

This chapter deals with the continuous minimal energy problem on a compact set A in \(\mathbb R^p\) with respect to a symmetric and lower semicontinuous kernel K. The asymptotic behavior as N gets large of the discrete minimal energy problem on A (introduced in Section 2.1) is also studied when A has nonzero K-capacity; i.e., finite Wiener constant.