Correlation properties of the large scale matter distribution and galaxy number counts
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We introduce the basic techniques used for the analysis of three dimensional and two dimensional galaxy samples. We report the correlation analysis of various redshift surveys which shows that the available data are consistent with each other and manifest fractal correlations (with dimension $D \simeq 2$) up to the present observational limits without any tendency towards homogenization. This result points to a new interpretation of the galaxy number counts. We show that an analysis of the small scale fluctuations allows us to reconcile the correlation analysis and the number counts in a new perspective which has a number of important implications.
43 pages, latex,15 postscript figures, also available at http://phys.uniroma1.it/DOCS/PIL/pil.html To be published in the Proc. of the "Erice Chalonge Course" N. Sanchez and A. Zichichi Ed. (1997)
43 pages, latex,15 postscript figures, also available at http://phys.uniroma1.it/DOCS/PIL/pil.html To be published in the Proc. of the "Erice Chalonge Course" N. Sanchez and A. Zichichi Ed. (1997)