报告人：Charlene Kalle (荷兰莱登大学）

主持人：李文侠

开始时间：2019-10-24 上午9：00-9:50 

讲座地址：闵行校区数学楼 401报告厅

摘要: In this talk we consider a family of continued fraction transformations that can be considered as a natural counterpart to the famous Nakada's alpha-continued fraction maps, called flipped alpha-continued fractions. For this family we analyse the matching behaviour, which is a dynamical phenomenon observed in various families of one-dimensional systems. We show that this family has Lebesgue almost everywhere matching, which is the first time this has been observed in the setting of infinite measure ergodic theory. Then we use matching to obtain various ergodic properties of the systems, such as their natural extension, an expression for the absolutely continuous invariant measure and the value of their Krengel entropy.