Quasi-periodical components in the radial distributions of
  cosmologically remote objects
  A statistical analysis of radial (line-of-sight) 1D-distributions of
brightest cluster galaxies (BCGs) within the redshift interval $0.044 \leq z
\leq 0.78$ and Mg II absorption-line systems ($0.37 \leq z \leq 2.28$) is
carried out. Power spectra and two-point radial correlation functions are
calculated. It is found that both radial distributions of spectroscopic
redshifts of 52,683 BCGs and 32,840 Mg II absorption systems incorporate
similar quasi-periodical components relatively to the comoving distance.
Significance of the components exceeds $4\sigma$-level and admits an increase
($\geq 5\sigma$) for some broad subsamples. For the {\Lambda}CDM cosmological
model the periodicities correspond to spatial comoving scales ($98 \pm 3$) and
($101 \pm 2$)h$^{-1}$ Mpc, respectively. These quasi-periods turn out to be
close to the characteristic scale ($101 \pm 6$)h$^{-1}$Mpc of the
quasi-periodical component obtained earlier for the radial distribution of
luminous red galaxies (LRGs). On the other hand, the scales are close to the
spatial scale corresponding to the baryon acoustic oscillations (BAOs) revealed
by many authors at the last decade. Fourier transform phases obtained for the
BCGs and LRGs are found to be close, while the phases calculated for the Mg II
absorption systems and LRGs are opposite. Discussions of the results in a
context of the BAO and large-scale structure characteristic scales are
outlined.
