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math.MG2026
Energy minimization for eight points on the sphere
Liudmyla Kryvonos, Lukas Liehr, Mitchell A. Taylor
We study the energy minimization problem for eight points on the unit sphere. For the logarithmic and Coulomb energies, we show that the unique global minimizer up to congruence is…
math.MG2019★ 26 cited
On the Mathematical Validity of the Higuchi Method
Lukas Liehr, Peter Massopust
In this paper, we discuss the Higuchi algorithm which serves as a widely used estimator for the box-counting dimension of the graph of a bounded function . We for…