A sequence of discrete minimal energy configurations that does not converge in the weak-star topology

2011/09/20 by Calef, Matthew T.
#31E05 #40A99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.4319

Abstract

We demonstrate a set A and a value of s for which the sequence of N-point discrete minimal Riesz s-energy configurations on A does not have an asymptotic distribution in the weak-star sense as N tends to infinity.

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