STRAIGHTENING THE DENSITY-DISPLACEMENT RELATION WITH A LOGARITHMIC TRANSFORM

@inproceedings{Falck2012STRAIGHTENINGTD,
  title={STRAIGHTENING THE DENSITY-DISPLACEMENT RELATION WITH A LOGARITHMIC TRANSFORM},
  author={Bridget Falck and Mark Neyrinck and Miguel A. Arag{\'o}n-Calvo and Guilhem Lavaux and Alexander S. Szalay},
  year={2012}
}
We investigate the use of a logarithmic density variable in estimating the Lagrangian displacement field motivated by the success of a logarithmic transformation in restoring information to the matter power spectrum. The logarithmic relation is an extension of the linear relation, motivated by the continuity equation, in which the density field is assumed to be proportional to the divergence of the displacement field; we compare the linear and logarithmic relations by measuring both of these… CONTINUE READING

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