Description
The stochastic formalism can be understood as an effective field theory for IR modes, which incorporates quantum corrections from UV modes at the coarse-graining scale. As the name suggests, the dynamics are described by Langevin equations. In general, the system is non-Markovian, meaning it depends on past history by construction in stochastic inflation. In this talk, I will present and discuss several approaches to analyzing the system, including the Markovian approximation and full numerical computations that account for non-Markovian effects.