Probabilities of filaments in a Poissonian distribution of points. I - Straight filaments

Bibcode
1989MNRAS.237..431B
Betancort-Rijo, J. E.
Bibliographical reference

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 237, March 15, 1989, p. 431-445. Research supported by SERC.

Advertised on:
3
1989
Number of authors
1
IAC number of authors
0
Citations
5
Refereed citations
5
Description
Statistical techniques are devised to assess the likelihood of a Poisson sample of points in two and three dimensions, containing specific filamentary structures. For that purpose, Otto et al.'s (1986) expression for the probability density of clumps in a Poissonian distribution of points is generalized for any value of the density contrast. A way of counting filaments differing from that of Otto et al. is proposed, because at low density contrast the filaments counted by Otto et al. are distributed in a clumpy fashion, each clump of filaments corresponding to a distinct observed filament.
Type
Refereed
Cosmology

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