Title: Scaling limits and fluctuations of discrete stochastic PDEs
Abstract: In this talk, we will discuss central limit types of results for those discrete approximations of stochastic PDEs driven by random walks either on random environment or with heavy-tails. Furthermore, we will study couplings between the discrete and continuous stochastic PDEs that allow us to find a non-trivial fluctuations around the limiting field. This is based on joint works with Wioletta Ruszel (Utrecht) and Milton Jara (Rio)