97 citations · 463 across the 68 of their papers we have counts for
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math.DS2020
Dynamics of Particles on a Curve with Pairwise Hyper-singular Repulsion
Douglas Hardin, Edward B. Saff, Ruiwen Shu +1
We investigate the large time behavior of particles restricted to a smooth closed curve in and subject to a gradient flow with respect to Euclidean hyper-singula…
math.CA2020★ 2 cited
Asymptotic properties of short-range interaction functionals
Douglas Hardin, Edward B. Saff, Oleksandr Vlasiuk
We describe a framework for extending the asymptotic behavior of a short-range interaction from the unit cube to general compact subsets of . This framework allows u…
math.MG2020
On the Search for Tight Frames of Low Coherence
Xuemei Chen, Douglas P. Hardin, Edward B. Saff
We introduce a projective Riesz -kernel for the unit sphere and investigate properties of -point energy minimizing configurations for such a kernel. We sho…