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Constraints on the Effects of Locally-biased Galaxy Formation by Scherrer, Robert J.; Weinberg, David H. is a scholarly article available to read on EtoBox.

What is Constraints on the Effects of Locally-biased Galaxy Formation about?

While it is well-known that "biased galaxy formation" can increase the strength of galaxy clustering, it is less clear whether straightforward biasing schemes can change the shape of the galaxy correlation function on large scales. Here we consider "local" biasing models, in which the galaxy density field $\delta_g$ at a point is a function of the matter density field $\delta$ at that point: $\delta_g = f(\delta)$. We consider both deterministic biasing, where $f$ is simply a function, and stochastic biasing, in which the galaxy density is a random variable whose distribution depends on the matter density: $\delta_g=X(\delta)$. We show that even when this mapping is performed on a highly nonlinear density field with a hierarchical correlation structure, the correlation function $\xi$ is simply scaled up by a constant, as long as $\xi << 1$. In stochastic biasing models, the galaxy autocorrelation function behaves exactly as in deterministic models, with the mean value of $X$ for a given value of $\delta$ taking the role of the deterministic bias function. We extend our results to the power spectrum P(k), showing that for sufficiently small k, the effect of local biasing is equivale

Author

Scherrer, Robert J.; Weinberg, David H.

Published

1997

Language

EN