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math.DS2014
Stable configurations of repelling points on compact manifolds II
Marina Nechayeva, Burton Randol
This paper describes, in the case of the unit circle, several applications of a geometrically intrinsic treatment of counterparts of classical electrostatics, previously developed…
math.DS2011★ 1 cited
Stable Configurations of repelling points on compact hyperbolic Manifolds
Burton Randol
It is shown that on compact hyperbolic manifolds, certain stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the num…