Finite size effects on the galaxy number counts: evidence for fractal behavior up to the deepest scale

Details Finite size effects on the galaxy number counts: evidence for fractal behavior up to the deepest scale Finite size effects on the galaxy number counts: evidence for fractal behavior up to the deepest scale

1996-05-22

arxiv.org/abs/astro-ph/9605135v1

Physica A226 (1996) 195-242

Astronomy and Astrophysics

Astrophysics

42 Latex pages. Figures and macro are avaialable under request at sylos@roma1.infn.it

Scientific paper

We introduce and study two new concepts which are essential for the quantitative analysis of the statistical quality of the available galaxy samples. These are the dilution effect and the small scale fluctuations. We show that the various data that are considered as pointing to a homogenous distribution are all affected by these spurious effects and their interpretation should be completely changed. In particular, we show that finite size effects strongly affect the determination of the galaxy number counts, namely the number versus magnitude relation ($N(

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