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(gzipped) PostScript## Comment on the paper "The ESO Slice Project galaxy redshift survey: V. Evidence for a D=3 sample dimensionality"
^{1} INFM Sezione Roma 1, Dip. di Fisica, Universitá "La Sapienza", P.le A. Moro 2, I-00185 Roma, Italy^{2} INFN Sezione Roma 1^{3} School of Mathematics, Trinity College, Dublin 2, Ireland^{4} Dépt. de Physique Théorique, Université de Genève, 24, Quai E. Ansermet, CH-1211 Genève, Switzerland
In a recent analysis of number counts in the ESP survey Scaramella
et al. (1998) claim to find evidence for a cross-over to homogeneity
at large scales, and against a fractal behaviour with dimension
. In this comment we note firstly
that, if such a cross-over exists as described by the authors, the
scale characterizing it is . This
invalidates the "standard" analysis of the same catalogue given
elsewhere by the authors which results in a "correlation length" of
only . Furthermore we show that the
evidences for a cross-over to homogeneity rely on the choice of
cosmological model, and most crucially on the so called K corrections.
We show that the behaviour seen in
the K-corrected data of Scaramella et al. is in fact unstable,
increasing systematically towards as
a function of the absolute magnitude limit. This behaviour can be
quantitatively explained as the effect of unphysical K-correction in
the relevant range of red-shift (). A
more consistent interpretation of the number counts is that
© European Southern Observatory (ESO) 1999 Online publication: March 18, 1999 |