DE3 - Large Scale Structure and Statistics |
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Speaker |
Kaminker, Aleksandr |
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Coauthors |
Kaminker, Aleksandr; Ryabinkov, Andrei |
| Talk Title |
Properties of radial distribution of matter at cosmological distance and the Baryon Acoustic Oscillations |
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Abstract |
We discuss a simplest model of modulation of the 3D Gaussian field in $k$-space by a non-uniformly oscillating function $f_1 (k)$, which imitates the baryon acoustic oscillations (BAO), and a model function $f_2 (k)$, reproducing the smoothed power spectrum of the galaxy clustering. This model is applied to statistical simulations of radial (1D-) distributions of cosmological objects, that allows to bring out a relation between quasi-periodical components characteristic for radial distributions of cosmological objects and the BAO phenomenon. It is shown that the radial distributions built from different centres in comoving space include quasi-periodical components with rather high probability depending on a signal-to-noise $S/N$ ratio. The averaging of a number of 1D-correlation functions over centres of radial distributions leads to the mean 1D-correlation function, which is qualitatively consistent with the standard 3D-correlation function. Both the functions are characterized by a single acoustic peaks at a scale of $\sim 100$~h$^{-1}$~Mpc. We apply similar 1D- statistical procedures to the sample of spectroscopic redshifts of the brightest cluster galaxies (and show that the results turn out to be consistent with those of our model simulations. |
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