演講者：蔣雲平特聘教授

　　　　Queens College & Graduate Center, City University of New York　　　　

日　期：2016年9月14日（星期三） 14:00

地　點：國立高雄大學理學院408室

講　題：Asymptotical Hausdorff Dimensions of Cantor Systems

摘　要：

I will discuss the geometry of a Cantor system associated with an asymptotically non-hyperbolic family of one-dimensional dynamical systems.  Such a family arises in dynamical systems as hyperbolicity is created. I will discuss the bridge geometry and the gap geometry. Furthermore, I will discuss the asymptotical Hausdorff dimension of the family of Cantor sets obtained from a Cantor system and show that the asymptotical value is one minus $\gamma$-root of the size of the leading gap.