Asymptotics for the minimum Riesz energy and best-packing on sets of finite packing premeasure
- Autores: S.V. Borodachov
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 56, Nº 1, 2012, págs. 225-254
- Idioma: inglés
- DOI: 10.5565/publmat_56112_08
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Resumen
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.
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