Article
Stable Configurations of Repelling Points on Flat Tori
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Abstract
Flat tori are analyzed in the context of an intrinsic Fourier-analytic approach to electrostatics on Riemannian manifolds, introduced by one of the authors in 1984 and previously developed for compact hyperbolic manifolds. The approach covers a large class of repelling laws, but does not naturally in- clude laws with singularities at the origin, for which possible accommodations are discussed in the final section of the paper.
Keywords
electrostatics, tori.
Citation
Nechayeva, M. & Randol, B. (2019). Stable configurations of repelling points on flat tori. Uniform Distribution Theory, 14(2), 87–102. https://doi.org/10.2478/udt-2019-0016
M. Nechayeva and B. Randol, “Stable configurations of repelling points on flat tori,” Uniform Distribution Theory, vol. 14, no. 2, pp. 87–102, 2019, doi: 10.2478/udt-2019-0016.
Nechayeva M, Randol B. Stable configurations of repelling points on flat tori. Uniform Distribution Theory. 2019;14(2):87–102. doi:10.2478/udt-2019-0016.
Nechayeva, M. and Randol, B. (2019), ‘Stable configurations of repelling points on flat tori’, Uniform Distribution Theory, 14(2), pp. 87–102. Available at: https://doi.org/10.2478/udt-2019-0016.
Nechayeva, Marina, and Burton Randol. “Stable Configurations of Repelling Points on Flat Tori.” Uniform Distribution Theory, vol. 14, no. 2, 2019, pp. 87–102. https://doi.org/10.2478/udt-2019-0016.
Nechayeva, Marina, and Burton Randol. “Stable Configurations of Repelling Points on Flat Tori.” Uniform Distribution Theory 14, no. 2 (2019): 87–102. https://doi.org/10.2478/udt-2019-0016.
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Published by: Engineering Journals
