Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.242..517m&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 242, Feb. 1, 1990, p. 517-521.
Astronomy and Astrophysics
Astronomy
63
Cosmology, Galactic Evolution, Universe, Astronomical Spectroscopy, Red Shift, Spatial Distribution
Scientific paper
There is overwhelming evidence from the CfA redshift survey that the distribution of galaxies in the Universe obeys a scaling law on length scales less than 5/h Mpc. Despite this scale invariance, the Universe is not well represented by a homogeneous fractal on these scales. The dependence of the correlation length r0 with sample depth and luminosity is studied. A method based on the minimal spanning tree is presented for determining the Hausdorff dimension, DH, of a point distribution. The technique is applied in order to find the Hausdorff dimension of the CfA redshift survey. The obtained value is DH = 2.1 + or - 0.1. The correlation dimension differs from this value, D2 = 1.3 + or - 0.1, therefore the Universe is not well characterized by only one exponent: it is not a simple fractal. It is a more complex structure, a multifractal.
Jones Bernard J. T.
Martinez Vicent J.
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