Fubinis nightmare for center foliation
主 题: Fubinis nightmare for center foliation
报告人: 杨佳刚 (Universidade Federal Fluminense)
时 间: 2016-12-15 9:00-11:30
地 点: 理科一号楼 1418
动力系统讨论班——It was observed by Katok in the last 80's that, there exists foliations, such that every leaf intersects a full volume subset with a unique point. Such phenomena is called Fubini's nightmare. The construction of the example comes from the theory of partially hyperbolic diffeomorphism. Indeed, this foliation is exactly the center foliation of a partially hyperbolic diffeomorphism. In this talk, we will introduce the measure-theoretical properties of center foliations of partially hyperbolic diffeomorphisms.