The support of the limit distribution of optimal Riesz energy points on sets of revolution in $\mathbb{R}^{3}$

Details The support of the limit distribution of optimal Riesz energy points on sets of revolution in $\mathbb{R}^{3}$ The support of the limit distribution of optimal Riesz energy points on sets of revolution in $\mathbb{R}^{3}$

2007-08-03

arxiv.org/abs/0708.0568v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.2817823

Let A be a compact set in the right-half plane and $\Gamma(A)$ the set in $\mathbb{R}^{3}$ obtained by rotating A about the vertical axis. We investigate the support of the limit distribution of minimal energy point charges on $\Gamma(A)$ that interact according to the Riesz potential 1/r^{s}, 0

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