Stable Configurations of Repelling Points on Flat Tori

Marina Nechayeva; Burton Randol

doi:10.2478/udt-2019-0016

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Stable Configurations of Repelling Points on Flat Tori

Uniform distribution theory

Volume 14 (2019): Issue 2 (December 2019)

By: Marina Nechayeva and Burton Randol

Open Access

|Mar 2020

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/udt-2019-0016 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X

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Language: English

Page range: 87 - 102

Submitted on: Nov 20, 2017

Accepted on: Dec 12, 2018

Published on: Mar 27, 2020

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

electrostatics,

tori

Related subjects:

Mathematics,

Algebra and number theory,

Discrete mathematics,

Probability and statistics,

Numerical and computational mathematics

© 2020 Marina Nechayeva, Burton Randol, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 14 (2019): Issue 2 (December 2019)