Web of Science: 1 cites, Scopus: 2 cites, Google Scholar: cites
Asymptotics for the minimum riesz energy and best-packing on sets of finitie packing premeasure
Borodachov, Sergiy

Data: 2012
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Matèria: Minimum Riesz energy ; Best-packing ; є-complexity ; Packing measure and premeasure ; Self-similar set ; Method I
Publicat a: Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 225-254, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/248366
DOI: 10.5565/PUBLMAT_56112_08


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