Halo abundances in the<i>f</i>_nlmodel

Abstract

We show how the excursion set moving barrier model for halo abundances may be\ngeneralized to the local non-Gaussian f_{nl} model. Our estimate assumes that\nthe distribution of step sizes depends on f_{nl}, but that they are otherwise\nuncorrelated. Our analysis is consistent with previous results for the case of\na constant barrier, and highlights some implicit assumptions. It also clarifies\nthe basis of an approximate analytic solution to the moving barrier problem in\nthe Gaussian case, and shows how it might be improved.\n