Description
Stochastic inflation is a method for computing super-Hubble perturbations beyond the small-perturbation limit. I show how to obtain the radial profile of the curvature perturbations in a random patch of space using this method. The profiles turn out to be spiky, far from the smooth mean profiles often considered in the literature. Based on extensive numerical simulations, I discuss the profiles' structure and its implications for the formation of primordial black holes.
