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Asymptotics for the minimum riesz energy and best-packing on sets of finitie packing premeasure

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::50c261f71c92a6128b15a6d29a9a6752
https://hdl.handle.net/2072/394856

Asymptotics for the minimum riesz energy and best-packing on sets of finitie packing premeasure

Autor: Sergiy Borodachov

Publikováno v: Publicacions Matemàtiques; Vol. 56, Núm. 1 (2012); p. 225-254
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Publ. Mat. 56, no. 1 (2012), 225-254

We show that for every compact set $A\subset {\mathbb R}^m$ of finite $\alpha$-dimensional packing premeasure $0\alpha$) coincides with the outer measure of $A$ constructed from this limit by method I. The asymptotic behavior of the discrete minimum

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed685ec028b41c5b27d96bf77b5c7c38
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_56112_08