Percolation as descriptive statistics - Methods and prospects

Details Percolation as descriptive statistics - Methods and prospects Percolation as descriptive statistics - Methods and prospects

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64...15k&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Jan.-Feb. 1987, p. 15-25. In Russian.

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5

Galactic Clusters, Percolation, Spatial Distribution, Statistical Distributions, Astronomical Models

Scientific paper

The spatial distributions of galaxies, clusters of galaxies and points in the pancake model are studied by methods of the percolation theory. Two new methods of estimating the percolation threshold Bc are proposed. One method is based on the analysis of mass fraction in the maximum group of objects. The other method rests on the dependence of a mean group multiplicity (not including the maximum group) on the neighbourhood radius. The methods can be used for an analysis of catalogs with complicated boundaries which was impossible for the old method involving only the length of the maximum group.

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