Nonlinear comparison of large-scale densities and velocities

Mathematics – Logic

Scientific paper

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Scientific paper

The large-scale distribution of the IRAS galaxies is compared with the mass density computed by the POTENT technique from the collected data on peculiar velocities. Special care is taken properly to calibrate the considerable sampling bias remaining in the POTENT analysis due to the uneven sky and depth coverage of the velocity data. In the linear approximation it is possible to determine the combination f(Omega)/b = 1.2 +/- 0.4 of the cosmological density parameter, Omega, and the galaxy biasing parameter b, but not any one of them separately. This degeneracy is broken in a nonlinear comparison of the density and velocity fields, which yields an initial lower bound Omega >~ 0.4 on the density parameter.

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