Halo abundances in the f_{nl} model

Understand

We show how the excursion set moving barrier model for halo abundances may be generalized to the local non-Gaussian f_{nl} model.

• Our estimate assumes that the distribution of step sizes depends on f_{nl}, but that they are otherwise uncorrelated.
• Our analysis is consistent with previous results for the case of a constant barrier, and highlights some implicit assumptions.
• It also clarifies the basis of an approximate analytic solution to the moving barrier problem in the Gaussian case, and shows how it might be improved.