Titlebook: Discrete Energy on Rectifiable Sets; Sergiy V. Borodachov,Douglas P. Hardin,Edward B. S Book 2019 Springer Science+Business Media, LLC, pa

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Some Popular Algorithms for Distributing Points on , applications. In this chapter, we describe the properties (such as equidistribution, covering, separation, quasi-uniformity, etc.) of such point configurations generated by commonly used methods, namely zonal equal-area points, generalized spiral points, Fibonacci points, HEALPix nodes, octahedral

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,Minimal Energy Asymptotics in the “Harmonic Series” Case,e weak.-limit distribution of sequences of energy minimizing configurations and lower estimates of their minimal pairwise separation can be also found here. Finally, a class of sequences of asymptotically .-energy minimizing configurations is constructed for sets of positive .-dimensional Lebesgue m

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Periodic Riesz and Gauss-Type Potentials,der periodic . defined by lattice sums of the form . for some lattice . and . with . (see Definition .) for the sum to converge absolutely (or to . unconditionally). Such sums represent the energy required to place a unit charge at . in the presence of unit charges located on . with pairwise interac