Galaxy clustering and the method of voids

Details Galaxy clustering and the method of voids Galaxy clustering and the method of voids

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...292l..35h&link_type=abstract

Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 292, May 15, 1985, p. L35-L39.

Mathematics

Probability

37

Cosmology, Galactic Clusters, Voids, Probability Distribution Functions, Red Shift

Scientific paper

By means of the present method, volume-limited or apparent magnitude-limited data can be used to measure the generating function of the sequence of correlation amplitudes to which the probability of finding a void in a random galaxy distribution volume is related. The observed function can then be convolved to infer an underlying positive definite continuum density distribution, f(rho), and hence a consistent sequence of correlation amplitudes which are proportional to the irreducible moments of the continuum distribution. The method is noted to be useful for determinations of f(rho) in underdense regions.

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