Stable Configurations of Repelling Points on Flat Tori-Reference-Cited by-同舟云学术

Stable Configurations of Repelling Points on Flat Tori

Published:2019-12-01 Issue:2 Volume:14 Page:87-102
ISSN:2309-5377
Container-title:Uniform distribution theory
language:en
Short-container-title:

Author:

Nechayeva Marina¹,Randol Burton²

Affiliation:

1. LaGuardia Community College , Long Island City, USA

2. CUNY Graduate Center , New York City, USA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/udt-2019-0016

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