Asymptotic Properties of Discrete Minimal s,logt-Energy Constants and Configurations

Autor: Nichakan Loesatapornpipit, Nattapong Bosuwan

Publikováno v: Symmetry, Vol 13, Iss 6, p 932 (2021)

We investigated the energy of N points on an infinite compact metric space (A,d) of a diameter less than 1 that interact through the potential (1/ds)(log1/d)t, where s,t≥0 and d is the metric distance. With Elogts(A,N) denoting the minimal energy f

Externí odkaz: https://doaj.org/article/92f59b9e24e54033944623f97acaf623

Asymptotics for Discrete Weighted Minimal Riesz Energy Problems on Rectifiable Sets

Autor: Borodachov, S. V., Hardin, D. P., Saff, E. B.

Publikováno v: Transactions of the American Mathematical Society, 2008 Mar 01. 360(3), 1559-1580.

Externí odkaz: http://dx.doi.org/10.1090/S0002-9947-07-04416-9

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

Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces

Autor: Douglas P. Hardin, Edward B. Saff, J. T. Whitehouse

For a closed subset $K$ of a compact metric space $A$ possessing an $\alpha$-regular measure $\mu$ with $\mu(K)>0$, we prove that whenever $s>\alpha$, any sequence of weighted minimal Riesz $s$-energy configurations $\omega_N=\{x_{i,N}^{(s)}\}_{i=1}^

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5a5a836087d2d620b03baf2cad924ac
http://arxiv.org/abs/1104.2911