

01:39:42
published on July 4, 2025
Lecture 3: What is the Universal Scaling Limit of Random Interface Growth, and What Does It Tell Us?
By Ivan Corwin
By Milton Jara
Appears in collection : 6e Séminaire Itzykson : "Physique statistique hors équilibre"
We explain how nonlinear stochastic evolution equations may emerge from interacting particle systems. In particular, we explain how the KPZ equation appears as the scaling limit of current fluctuations around its stationary state of one-dimensional, nonequilibrium conservative systems.