Institute for Advanced Study/Princeton University Early Universe/Cosmology Lunch Discussion

We present a novel combination of the excursion-set approach with the peak theory formalism in Lagrangian space and provide accurate predictions for halo and void statistics over a wide range of scales. The set-up is based on an effective moving barrier. Besides deriving the corresponding numerical multiplicity function, we introduce a new analytical formula reaching the percent level agreement with the corresponding numerical multiplicity function obtained via Monte Carlo realizations down to small scales. In the void case, we derive the dependence of the effective moving barrier on the void formation threshold. Finally, using the effective moving barrier, we derive Lagrangian void density profiles accurately matching measurements from cosmological simulations, a major achievement towards using void profiles for precision cosmology with the next generation of galaxy surveys.