【京都力学系セミナー(関西確率論セミナーと共催)】Random iteration of direct products of nonsingular transformations

開催日時
2018/11/02 金 14:30 - 17:00
場所
3号館108号室
講演者
盛田 健彦
講演者所属
大阪大学大学院理学研究科
概要

開始時間が14:30に変更されました
会場が 3号館 108教室 に変更されました
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.