Clustering paradigms and multifractal measures

Details Clustering paradigms and multifractal measures Clustering paradigms and multifractal measures

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...357...50m&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 357, July 1, 1990, p. 50-61. Research supported by the Direccion General de

Statistics

Computation

92

Astronomical Catalogs, Galactic Clusters, Hubble Constant, Stochastic Processes, Computational Astrophysics, Two Dimensional Models

Scientific paper

A subsample of the CfA galaxy catalog and two clustering models look different to the eye, yet have comparable two-point correlation functions. It is shown how the technique of 'measure analysis' clearly reveals the nature of the differences, thereby providing an effective tool for discriminating between point set distributions. Three clustering paradigms are presented to asses this approach. As an illustration, an explicitly calculable two-dimensional clustering model, the multiplicative multifractal, is used. The three-dimensional models are a simple clustering hierarchy, and a clustering distribution consisting of the vertices of a three-dimensional Voronoi tessellation. Moreover, the CfA galaxy catalog is analyzed in the same manner as the stochastic point processes.

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