Heterotopic clustering

Details Heterotopic clustering Heterotopic clustering

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.259..146j&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 259, no. 1, p. 146-154.

Statistics

Computation

20

Computational Astrophysics, Galactic Clusters, Galactic Evolution, Mathematical Models, Fractals, Random Processes, Spatial Distribution, Statistical Distributions

Scientific paper

Two mathematical models are presented for the nonlinear clustering regime of observed galaxies on the basis of interwoven fractal point sets; this multifractal description furnishes important insights into what is occurring in nonlinear clustering. It is shown that multifractality is related to the galaxy counts-in-cells, following such skewed statistical distributions as the lognormal. The model predicts the scaling properties of the mean and variance of the cell-count distribution with cell size, while furnishing insights into how the nonlinear clustering process works.

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