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- W2020299433 abstract "We present two new dynamical tests of the biasing hypothesis. The first is based on the amplitude and the shape of the galaxy-galaxy correlation function, $xi_g(r)$, where $r$ is the separation of the galaxy pair. The second test uses the mean relative peculiar velocity for galaxy pairs, $vs(r)$. This quantity is a measure of the rate of growth of clustering and it is related to the two-point correlation function for the matter density fluctuations, $xi(r)$. Under the assumption that galaxies trace the mass ($xi_g = xi$), the expected relative velocity can be calculated directly from the observed galaxy clustering. The above assumption can be tested by confronting the expected $vs$ with direct measurements from velocity-distance surveys. Both our methods are checked against N-body experiments and then compared with the $xi_g(r)$ and $vs$ estimated from the {sc APM} galaxy survey and the Mark III catalogue, respectively. Our results suggest that cosmological density parameter is low, $Omega_m approx 0.3$, and that the {sc APM} galaxies trace the mass at separations $r ga 5 Mlu$, where $h$ is the Hubble constant in units of 100 km s$^{-1}$Mpc. The present results agree with earlier studies, based on comparing higher order correlations in the {sc APM} with weakly non-linear perturbation theory. Both approaches constrain the linear bias factor to be within 20% of unity. If the existence of the feature we identified in the {sc APM} $xi_g(r)$ -- the inflection point near $xi_g = 1$ -- is confirmed by more accurate surveys, we may have discovered gravity's smoking gun: the long awaited ``shoulder'' in $xi$, generated by gravitational dynamics and predicted by Gott and Rees 25 years ago." @default.
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- W2020299433 date "2006-01-25" @default.
- W2020299433 modified "2023-10-07" @default.
- W2020299433 title "The Transition to Nonlinearity and New Constraints on Biasing" @default.
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- W2020299433 doi "https://doi.org/10.1111/j.1749-6632.2001.tb05619.x" @default.
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