Mass functions from the excursion set model

Nicos Hiotelis, Antonino Del Popolo

Aims. We aim to study the stochastic evolution of the smoothed overdensity $\delta$ at scale $S$ of the form $\delta (S)={\int }_0^{S}K(S,u)\mathrm{d}W(u)$, where $K$ is a kernel and $\mathrm…