Kardar–Parisi–Zhang equation: new trends in theories and experiments

Kardar, Parisi and Zhang (KPZ) proposed in 1986 an equation describing the scale invariance of various phenomena. This field has experienced a second life in recent years with the identification of universal distributions highlighted in very different models, both theoretical (spin chains, lattice gases) and experimental (cold atoms, exciton-polaritons). Our goal is to provide a broad and accessible overview of these advances.