Averaging of Hamiltonian flows with an ergodic component
Averaging of Hamiltonian flows with an ergodic component
We consider a process on $\mathbb{T}^2$, which consists of fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the graph naturally associated to the structure of the stream lines of the unperturbed flow. It has been …