Reconstruction of the linear power spectrum

Details Reconstruction of the linear power spectrum Reconstruction of the linear power spectrum

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aas...20710105s&link_type=abstract

American Astronomical Society Meeting 207, #101.05; Bulletin of the American Astronomical Society, Vol. 37, p.1330

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Scientific paper

It is well known that nonlinearities in the observed galaxy power spectrum seriously complicate comparison to linear perturbation theory. Monge-Ampère-Kantorovich reconstruction (MAK) is a method to rewind the clock of the universe, enabling a measurement of the linear power spectrum from an observed nonlinear density field. We investigate the effectiveness of MAK to recover the linear power spectrum on evolved cosmological N-body simulations. Nonlinearities are completely erased as one goes back in time; in fact power is suppressed too much because MAK assumes particle trajectories are cleaner than they actually are. We apply MAK to the Sloan Digital Sky Survey New York University Value-Added Galaxy Catalog to demonstrate that the linear power spectrum can be recovered up to k ≲ 1\ h Mpc-1.

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