Clusters in point distributions

Bibcode
1994PhRvE..50.4410B
DOI
10.1103/PhysRevE.50.4410
Betancort-Rijo, J. E.
Bibliographical reference

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 50, Issue 6, December 1994, pp.4410-4417

Advertised on:
12
1994
Number of authors
1
IAC number of authors
1
Citations
3
Refereed citations
3
Description
We present a procedure for obtaining the mean density of clusters and their associated structures in a very general type of distribution. We first consider the one-dimensional case, and then use it to develop the procedure according to the d-dimensional case. These procedures require the probability that a randomly placed body should contain no points. We show how this quantity may be evaluated for different types of distributions. The particular case of spherical clusters in three dimensions is treated in detail
Type
Refereed

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