Perturbations of Non-Recurrent Exponential Maps and Applications
发布时间：2024年10月11日
浏览次数：324
发布者: Xiaoni Tan
主讲人： Weiwei Cui (Shandong University, China)
活动时间： 从 2024-10-17 10:00 到 10:50
场地： Online
Abstract: We consider dynamics of the exponential family. A parameter in this family is non-recurrent if the only singular value is not recurrent. We show that the set of non-recurrent parameters has Lebesgue measure zero. Moreover, non-recurrent parameters can be approximated by hyperbolic ones. We also discuss applications to the measurable dynamics of exponential functions. The talk is based on joint works with Magnus Aspenberg (Lund University), Jun Wang (Fudan University) and Jiaxing Huang (Shenzhen University), respectively.
Zoom Meeting ID: 181 155 584
