演講訊息 TALKS

摘要： Suppose a diffusion is drifted by some stationary incompressible flow. We say that the diffusivity is enhanced by the flow, if the action of the drift speeds up the convergence of the diffusion toward its equilibrium. Some vectorfields might have the ability to enhance diffusivity to infinity if one multiplies them with some growing parameter. In 2008 Constantin, Kislev, Ryzhik and Zlatos gave some condition for this phenomenon to take lace. The showed that this happens if the vectorfield (seen as a first order differential operator) has no H^1 eigenfunctions. In particular this is the case when the flow generated by the vectorfield is weakly mixing. In this talk we will describe the speed of this effect under the assumption that he flow satisfies decay of correlations.