2 papers
math.PR2025
A noise-induced transition in the Lorenz system
Michele Coti Zelati, Martin Hairer
We consider a stochastic perturbation of the classical Lorenz system in the range of parameters for which the origin is the global attractor. We show that adding noise in the last…
math.PR2025
Fluctuations of stochastic PDEs with long-range correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large-scale dynamics of the solution to a nonlinear stochastic heat equation (SHE) in dimensions with long-range dependence. This equation is driven by mult…