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arXiv · 0903.4916

Fractal large-scale structure from a stochastic scaling law model

S. Capozziello·S. Funkhouser
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Abstract

A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the density profile of galaxies on a given scale is described by a power law then the stochastic model leads naturally to a mass function that is proportional to the square of the distance from an occupied point, which corresponds to a two-point correlation function that is inversely proportional to the distance. This result is consistent with observations indicating that galaxies are, on the largest scales, characterized by a fractal distribution with a dimension of order 2 and well-fit with transition to homogeneity at cosmological scales.

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S. Capozziello, S. Funkhouser. 2009-03-27. Fractal large-scale structure from a stochastic scaling law model. https://doi.org/10.1142/s0217732309031065

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