Appears in collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

In a sIn modeling real interface growth, there are several types of boundary conditions that can be imposed. In this lecture we will probe some of the predictions and results about how these boundary conditions influence the long-time behavior of interface growth. In particular, we will focus on the stationary measure for such growth models, as well as the time to approach stationarity and the current fluctuations in stationarity.