Perturbations of Non-Recurrent Exponential Maps and Applications
Time: 2024-10-11
Published By: Xiaoni Tan
Speaker(s): Weiwei Cui (Shandong University, China)
Time: 10:00-10:50 October 17, 2024
Venue: 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
