Reconstruction of the primordial density field from redshift and distance catalogs of galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Peculiar velocity reconstruction methods allow one to have a deeper insight into the distribution of dark matter: both to measure Ω_m and to characterize the primordial density fluctuations. We present here the Monge-Ampère-Kantorovitch method applied to redshift reconstruction. We show what are the limitations and the problems to overcome to prevent systematic errors. This leads for the first time to a good representation of the peculiar velocity field within a 8,000 km/s sphere. We measure Ω_m=0.237+0.063-0.056 using a catalog of distances within 3,000 km/s, which is in agreement with the analysis of WMAP and SDSS data.

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