Multiscaling Properties of Large-Scale Structure in the Universe

Details Multiscaling Properties of Large-Scale Structure in the Universe Multiscaling Properties of Large-Scale Structure in the Universe

Sep 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995sci...269.1245m&link_type=abstract

Science, Volume 269, Issue 5228, pp. 1245-1247

Mathematics

13

Scientific paper

The large-scale distribution of galaxies and galaxy clusters in the universe can be described in the mathematical language of multifractal sets. A particularly significant aspect of this description is that it furnishes a natural explanation for the observed differences in clustering properties of objects of different density in terms of multiscaling, the generic consequence of the application of a local density threshold to a multifractal set. The multiscaling hypothesis suggests ways of improving upon the traditional statistical measures of clustering pattern (correlation functions) and exploring further the connection between clustering pattern and dynamics.

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