A unique reconstruction for the density and velocity fields: application of the extended Fast Action Minimisation method to BAO and voids

Density and velocity fields' reconstruction techniques have been used to improve the modelling of a variety of cosmological probes, including Baryonic Acoustic Oscillations (BAO), cosmic voids, and redshift space distortions. The efficiency of the techniques used so far is however limited to the specific probe they have been applied to, thanks to specific fine-tuning of the method. The same techniques are therefore unsuitable for other cosmological probes. In this talk I present the application of the extended Fast Action Minimisation method to reconstruct the SDSS-DR12 galaxy field. Without requiring any fine-tuning, this uniquely reconstructed density field is used for both BAO and voids statistical analysis.