AAS 207th Meeting, 8-12 January 2006
Session 101 Galaxy Clustering and Statistical Properties
Oral, Tuesday, 2:00-3:30pm, January 10, 2006, Salon 3

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[101.05] Reconstruction of the linear power spectrum

E. Sirko, D. N. Spergel (Princeton)

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 \lesssim 1\ h\, {\rm Mpc}-1.

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