赵怀忠教授, 杜伦大学

I will discuss the ergodicity of two kinds of non-stationary processes: random periodic processes and random quasi-periodic processes. I will describe periodic measures, quasi-periodic measures and the way to lift them on cylinders, then to construct invariant measures. I will discuss their ergodicity, while they are certainly not mixing. I will also present results on the existence of periodic measures and quasi-periodic measures and more generally entrance measures for a wide class of stochastic differential equations, which could be degenerate and possibly expanding. If time permits, I will mention ergodicity on sublinear expectation spaces.