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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 14. Issue 2


Published on

December, 2019


Pages

87-102


DOI

https://doi.org/10.2478/udt-2019-0016

Article

Stable Configurations of Repelling Points on Flat Tori


Authors

Marina Nechayeva and Burton Randol


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 include laws with singularities at the origin, for which possible accommodations are discussed in the final section of the paper.


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