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Titlebook: Applying Fractals in Astronomy; André Heck,Jean M. Perdang Book 1991 Springer-Verlag Berlin Heidelberg 1991 Astrophysik.Hydrodynamik.astro

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,Fractals and the Large—Scale Galaxy Distribution,vations for the use of a scale-dependent . model in Cosmology are discussed. The multifractal properties of the distributions are considered and an extended version of the . model for the field of density perturbations . . is introduced.
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,Fractals and the Large—Scale Galaxy Distribution,ifications of the . model of turbulence. These models generate distributions with scale-dependent fractal properties, as observed in the analysis of real galaxy catalogs. In particular, a smooth transition from small-scale self-similarity to large-scale homogeneity is considered. The scale dependenc
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,Is the Spatial Distribution of Galaxies a Bounded Self—Similar Structure? Observational Evidences, distances ranging from some Mpc to (30 – 40). . Mpc. To this end, the classical two-point correlation function has been evaluated both in the angular and the spatial case on the Zwicky and Cfal catalogues, respectively. In contrast to previous works, the quantity 1 + .(.) and its spatial equivalent
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The Fractal Structure of the Quantum Space-Time,o which the laws of physics should apply to systems of reference whatever their scale. The continuity but non differentiability of quantum mechanical particle paths, the occurrence of infinities in quantum field theories and the universal length and time scale dependence of measurement results impli
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