学术动态

       #RAFS^†Session 18

        Time：Jun. 11, 2021, 10:00--12:00

        Location：434 Qi Xiang Building, Chang'an Campus

        Title：The Poincare recurrence theorem

        Abstract：In his 1890 King Oscar prize-winning memoir, H. Poincare established the basic principle that the typical trajectory of a volume-preserving system with finite volume comes back infinitely oftento any neighborhood of its initial point. This is considered to have initiated the modern study of measure-preserving transformations, orergodic theory. In this talk, by an argument that is essentially the same as the Pigeonhole Principle, we will prove two versions of the recurrence theorem, by which we conclude our yearlong discussion ofMeasure and Category.

        † Real Analysis Friday Seminars. Contactshuangshen@nwpu.edu.cnfor any inquiry. For a history of this seminar, please visithttps://teacher.nwpu.edu.cn/2017010194.