Date: |
2012 |
Abstract: |
We show that for every compact set A ⊂ Rm of finite α -dimensional packing premeasure 0 < α ≤m, the lower limit of the normalized discrete minimum Riesz s-energy (s > α ) 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. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Minimum Riesz energy ;
Best-packing ;
є-complexity ;
Packing measure and premeasure ;
Self-similar set ;
Method I |
Published in: |
Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 225-254, ISSN 2014-4350 |