Statistical genesis of a lognormal distribution as a source of properties observed in the clumping of galaxies

Mathematics

Scientific paper

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Astronomical Models, Density Distribution, Galactic Clusters, Spatial Distribution, Statistical Distributions, Clumps, Functions (Mathematics), Logarithms, Milky Way Galaxy

Scientific paper

The suitability of a lognormal function for describing the apparent distribution of galaxies is discussed. The author's earlier proposal that statistical independence of subsystems can engender a lognormal distribution law is applied to the fluctuations observed in the number density of galaxies. A scale-dependent model is derived that would give a linear correlation between the mean galaxy count and the reciprocal of the logarithmic dispersion in the distribution. The model can interpret several of the features that ordinarily are regarded as galaxy clumping effects. Calculations indicate that irregularities in the intragalactic absorption near the galactic poles have no appreciable influence on the apparent galaxy distribution there.

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