A review arguing that correlation functions alone cannot capture the cosmic web's structure, and that the structure function and 2D/3D comparisons are needed.
Is the Universe Homogeneous on Large Scales?
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abstract
This contribution is the affirmative side of a debate held with Dr. L. Pietronero at Princeton in June, 1996. I present the observational evidence that the fractal behavior which characterizes the small scale galaxy distribution does not continue to arbitarily large scale, but has a well defined cutoff with an outer length scale of order 30h$^{-1}$ Mpc. For example, plots of the IRAS 1.2 Jy survey exhibit a very clear approach to homogeneity on large scale, in complete contradiction to the endless fractal model.
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Fractal Properties of the Cosmic Web
A review arguing that correlation functions alone cannot capture the cosmic web's structure, and that the structure function and 2D/3D comparisons are needed.