From small-scale fractality to large-scale homogeneity - A family of cascading models for the distribution of galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Galactic Evolution, Spatial Distribution, Astronomical Models, Fractals, Homogeneity

Scientific paper

A class of fractal cascading models which describe the large-scale galaxy distribution is considered. These fractal cascades are based on appropriate modifications of the beta-model which has been introduced in the study of turbulence. In particular, a family of cascading processes is considered, which generate a scale-dependent fractal behavior and provide a smooth transition from small-scale fractality to large-scale homogeneity. In this context, the notion of dressed fractal dimension is introduced. The physical motivations for this approach are discussed in the framework of both cold-dark and hot-dark matter scenarios for galaxy formation.

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