The fractal distribution of galaxies and the transition to homogeneity
Abstract
There is an ongoing debate in cosmology about the value of the length scale at which ``homogeneity'' in the galaxy distribution is reached or even if such a scale exists. In the wake of this debate, we intend in this letter to clarify the meaning of the statement transition to homogeneity and of the concept of correlation length. We show that there are two scales, associated to the fractal and to the homogeneous regimes of the galaxy distribution, respectively. The distinction between both scales has deep consequences, for there can be a regime which despite having a well defined average density exhibits large clusters of galaxies.Keywords
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