### Max Tegmark's cosmology library: zspace

Please click here to download the paper
described below.
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here
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other research of mine.
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##
REAL-SPACE COSMIC FIELDS FROM REDSHIFT-SPACE DISTRIBUTIONS:

A GREEN FUNCTION APPROACH

### Authors:

Max Tegmark & Ben Bromley
### Abstract:

We present a new method for reconstructing the cosmological
density, peculiar velocity and peculiar gravitational
potential on large scales from redshift data.
We remove the distorting effects of line-of-sight peculiar
motions by using the linear theory of gravitational
instability, in which the potential is the
solution to a linear partial differential equation first
derived by Kaiser. We solve this equation by deriving its
Green function; the Green functions for the peculiar velocity and
the real-space density follow directly.
Reconstruction of the cosmic fields is thus reduced to integration
over redshift space with the appropriate Green function kernel.
Our algorithm has a single input parameter,
*beta=Omega^0.6/b*, where *b* is the linear
bias factor and *Omega* is the cosmological density parameter.
We discuss the virtues of this method for error control, for
estimating *beta*, and for constraining the bias mechanism.
### Online references:

This site also contains the latest versions of a paper that is
referenced in the text;
Tegmark, Bunn & Hu 1994.

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This page was last modified July 1, 1998.
max@ias.edu