Geodesic
Limit distributions of extremal distances to the nearest neighbor
Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 3-17

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Theorems on the limit distributions of the minimal and maximal distances to the nearest neighbor in a sample of random independent points having a uniform distribution on a metric space are proved. As examples of such spaces a multidimensional torus and a binary cube are considered.
Keywords: random points in a metric space, nearest neighbors, distributions of extremal values, binary cube. 
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A. M. Zubkov; O. P. Orlov. Limit distributions of extremal distances to the nearest neighbor. Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 3-17. http://geodesic.mathdoc.fr/item/DM_2017_29_2_a0/