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arXiv · 1603.02926

Experimental investigation on the uniqueness of a center of a body

Shigehiro Sakata
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Abstract

The object of our investigation is a point that gives the maximum value of a potential with a strictly decreasing radially symmetric kernel. It defines a center of a body in Rm. When we choose the Riesz kernel or the Poisson kernel as the kernel, such centers are called a radial center or an illuminating center, respectively. The existence of a center is easily shown but the uniqueness does not always hold. Sufficient conditions of the uniqueness of a center have been studied by some researchers. The main results in this paper are some new sufficient conditions for the uniqueness of a center of a body.

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Shigehiro Sakata. 2016-03-09. Experimental investigation on the uniqueness of a center of a body. https://arxiv.org/abs/1603.02926

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