The starting time has been changed to 14:30.
The venue has been changed to Room 108, Bldg no.3.
Abstract: For a measure-preserving transformation, its direct product is naturally defined and it is used to study ergodic-theoretic properties of the original transformation. For example, a measure-preserving transformation is weak-mixing if and only if its direct product is ergodic. In the case of a random dynamical system given by random iteration of a family of nonsingular transformations, we can consider the random iteration of the direct products of transformations in the family. I would like to talk about some ergodic-theoretic properties of such a random iteration of direct products and their application to the study of sample-wise ergodic behavior of the original random dynamical system.