The debate of galaxy correlations and its theoretical implications
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We discuss the problem of galaxy correlations by considering the various methods by which this information can be obtained. We focus in particular on the volume limited three dimensional samples and discuss a new way to increase the scale of their statistical validity. From our previous results and the most recent ones on all the available catalogues we conclude that galaxy correlations show fractal properties with dimension $ D \approx 2$ up to the present observational limits ($200-800 \hmp$ depending on the catalogue) without any tendency towards homogenization. We also discuss the compatibility of this result with the galaxy counts as a function of magnitude and the angular catalogues. A new picture emerges which changes the standard ideas about the properties of the universe and requires a corresponding change in the theoretical concepts that one should use to describe it.
8 pages Tex. Figures are available under request to SYLOS@ROMA1.INFN.IT - to appear in Astrophysical Letters and Communication - proceedings of the Workshop on "Observational Cosmology: from Galaxies to Galaxy Systems" (Sesto - Italy, 4-7 July 1995)
8 pages Tex. Figures are available under request to SYLOS@ROMA1.INFN.IT - to appear in Astrophysical Letters and Communication - proceedings of the Workshop on "Observational Cosmology: from Galaxies to Galaxy Systems" (Sesto - Italy, 4-7 July 1995)