Bibcode
Betancort-Rijo, J. E.
Bibliographical reference
Physical Review A (Atomic, Molecular, and Optical Physics), Volume 46, Issue 8, October 15, 1992, pp.4549-4559
Advertised on:
10
1992
Citations
1
Refereed citations
1
Description
We present a rigorous approach to the problem of the random clustering
of points in one-dimensional Poissonian distributions. Exact expressions
for the probability density of clusters are derived, and the statistical
properties of the inner configuration of their associated structures are
studied in detail. We review previous works in the field, assessing
their accuracy in the context of the present approach. Its extension to
more general distributions is pointed out, and several of the many
practical applications of these works are briefly recalled.