Multiscaling Properties of Large-Scale Structure in the Universe

Science  01 Sep 1995:
Vol. 269, Issue 5228, pp. 1245-1247
DOI: 10.1126/science.269.5228.1245


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.