Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...332l...1j&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 332, Sept. 1, 1988, p. L1-L5.
Astronomy and Astrophysics
Astrophysics
87
Astronomical Spectroscopy, Galactic Clusters, Universe, Astronomical Catalogs, Formalism, Red Shift
Scientific paper
It is shown that the clustering structures in the observed universe and in numerical simulations are not well represented by a homogeneous measure on a fractal. It is proposed that a good description of these clustering structures is given by 'multifractals' - fractals having more than one scaling index. The multifractal characteristics of a data sample and a numerical simulation of an axion-dominated universe are evaluated. The clustering structures revealed by the multifractal analysis are quite similar, both showing a variation of dimensionality from 1 to 3 over similar ranges of scales. The multifractal description provides a natural way of scaling the numerical models to the data. If a bias is applied to the simulation, the result is a distribution of points that has almost constant dimension, 1.5, on all scales. This reduction of the distribution of dimensionality by biasing may be a problem for theories that invoke naive biasing schemes.
Einasto Jaan
Jones Bernard J. T.
Martinez Vincent J.
Saar Enn
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