Global structure of the Local Universe according to 2MRS survey
  We report the results of a statistical analysis of the space distribution of
galaxies within distances about 300 Mpc using the 2MRS catalog, which contains
redshifts of 43533 galaxies of the 2MASS all-sky IR survey. Because of the
unique features of the 2MRS survey, such as its 90 percent sky coverage, galaxy
selection in the IR, the complete incorporation of the old stellar population
of galaxies, weakness of the dust extinction effects, and the smallness of the
k- and e-corrections allowed us to determine the statistical properties of the
global distribution of galaxies in the Local Universe. We took into account the
main methodological factors that distort the theoretically expected relations
compared to those actually observed. We construct the radial galaxy number
counts N(R), SL(R, r) statistics, and the complete correlation function
(conditional density) for volume-limited (VL) galaxy samples. The observed
conditional density in the redshift space is independent of the luminosity of
galaxies and has the form of a power-law function with slope ~ 1.0 over a large
range scale-length spanning from 0.1 to 100 Mpc. We compare the statistical
properties of the space distribution of galaxies of the 2MRS catalog with the
corresponding properties of simulated catalogs: stochastic fractal
distributions and galaxies of the Millennium catalog.
