50:36
published on February 6, 2026
On some deterministic version of the random walk on $\mathbb{Z}^d$
By Dalia Terhesiu
Nonlinear fluctuations of interacting particle systems
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.
