Resumen de Asymptotics for the minimum Riesz energy and best-packing on sets of finite packing premeasure

S.V. Borodachov

• We show that for every compact set A  Rm of nite -dimensional packing premeasure 0 <  m, the lower limit of the normalized discrete minimum Riesz s-energy (s > ) coincides with the outer measure of A constructed from this limit by method I. The asymptotic behavior of the discrete minimum energy on compact subsets of a self-similar set K satisfying the open set condition is also studied for s greater than the Hausdor dimension of K. In addition, similar problems are studied for the best-packing radius.