H. Dinella et Fs. Labini, HOW CAN WE MEASURE A CORRELATION LENGTH OF 5-10 MPC WHEN OBSERVATIONSSHOW STRUCTURES EXTENDED OVER 150 MPC, Astrophysical letters & communications, 36(1-6), 1997, pp. 33-39
We have analysed the statistical properties of the redshift samples av
ailable in the LEDA database. We find that galaxies in this sample sho
w very well defined fractal long-range correlation with dimension D ap
proximate to 2. We have studied the behaviour of the so-called ''corre
lation length'' r(0) (xi(r(0)) = 1) finding a clear dependence on the
sample depth, We have done some test to check the statistical robustne
ss of these results with respect to the incompleteness of the sample.
We find that the correlation properties are stable up to r similar to
150 Mpc, that is the maximum depth in which significant all-sky observ
ations are available.