Physics
Scientific paper
Sep 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phya..230..336s&link_type=abstract
Physica A, Vol. 230, No. 3 - 4, p. 336 - 358
Physics
6
Galaxies: Redshift Surveys, Galaxy Counts: Fluctuations
Scientific paper
The authors analyze the spatial and the luminosity properties of the Perseus-Pisces redshift survey. They find that the two point correlation function (CF) Γ(r) is a power law up to the sample effective depth (≡30 h-1Mpc), showing the fractal nature of the galaxy distribution in this catalog. The fractal dimension turns out to be D ≍ 2. They also consider the CF ξ(r) and in particular the behavior of the "correlation length" r0 (ξ(r0) ≡ 1) as function of the sample size. In this respect they find, unambiguously, that the luminosity segregation effect is not supported by any experimental evidence. In addition the authors have studied the galaxian number-density (n(r)) and number-counts (N(m)) in the VL subsamples finding a good agreement with the properties of a fractal distribution. In particular their conclusion is that the n(r) relation permits to extend the analysis of the fractal nature up to a deeper depth than that reached by the CF analysis, and, they find evidence for fractal properties up to the limiting depth of 130 h-1Mpc. They clarify the role of the small-scale fluctuations in the determination of the galaxy counts. Even in this case the results are in agreement with the previous ones. Finally they have considered the correlations between galaxy positions and luminosities by means of the multifractal analysis. They find clear evidence for self-similar behavior of the whole luminosity-space distribution.
Montuori Marco
Pietronero Luciano
Sylos Labini Francesco
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