Clustering paradigms and multifractal measures

Abstract

view Abstract Citations (107) References (41) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Clustering Paradigms and Multifractal Measures Martinez, Vicent J. ; Jones, Bernard J. T. ; Dominguez-Tenreiro, Rosa ; van de Weygaert, Rien Abstract A subsample of the CfA galaxy catalog and two clustering models look different to the eye, yet have comparable two-point correlation functions. We show how the technique of "measure analysis" clearly reveals the nature of the differences, thereby providing an effective tool for discriminating between point set distributions. We present three clustering paradigms to assess this approach. As an illustration we use an explicitly calculable two-dimensional clustering model: the multiplicative multifractal. The three-dimensional models are a simple clustering hierarchy, and a clustering distribution consisting of the vertices of a three-dimensional Voronoi tessellation. Moreover, we analyze the CfA galaxy catalog in the same manner as our stochastic point processes. Publication: The Astrophysical Journal Pub Date: July 1990 DOI: 10.1086/168890 Bibcode: 1990ApJ...357...50M Keywords: Astronomical Catalogs; Galactic Clusters; Hubble Constant; Stochastic Processes; Computational Astrophysics; Two Dimensional Models; Astrophysics; GALAXIES: CLUSTERING full text sources ADS |