109 citations · 567 across the 25 of their papers we have counts for
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math-ph2013★ 19 cited
Riesz external field problems on the hypersphere and optimal point separation
Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff
We consider the minimal energy problem on the unit sphere in the Euclidean space in the presence of an external field , where the energy arises…
math-ph2013★ 9 cited
"Magic" numbers in Smale's 7th problem
Rachele Nerattini, Johann S. Brauchart, Michael K. -H. Kiessling
Smale's 7-th problem concerns N-point configurations on the 2-dim sphere which minimize the logarithmic pair-energy V_0(r) = -ln r averaged over the pairs in a configuration; here,…