Boundary domination and the distribution of the largest nearest-neighbor link in higher dimensions

作者: J. Michael Steele , Luke Tierney

DOI: 10.2307/3214195

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摘要: For a sample of points drawn uniformly from either the d-dimensional torus or d-cube, d 2, we give limiting distributions for largest nearest-neighbor links. - 3 behavior in is proved to be different cube. The results given also settle conjecture Henze (1982) and throw light on choice cube some probabilistic models computational complexity geometrical algorithms.

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