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Topologies for poin distributions
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The concepts of void and cluster for an arbitrary point distribution in a domain D are defined and characterized by some parameters such as volume, density, number of points belonging to them, shape, etc. After assigning a weight to each void and clusterwhich is a function of its characteristicsthe concept of distance between two point configurations S1 and S2 in D is introduced, both with and without the help of a lattice in the domain D. This defines a topology for the point distributions in D, which is different for the different characterizations of the voids and clusters.
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ELIZALDE, E. (Emili). Topologies for poin distributions. Journal of Mathematical Physics. 1987. Vol. 28, num. 2977. ISSN 0022-2488. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/24554