Dynamics of a family of rational maps concerning renormalization transformation

• 作 者: Yuhan ZHANG Junyang GAO Jianyong QIAO Qinghua WANG
• 机 构: School of Science, China University of Mining and Technology, Beijing 100083, China;School of Scienc
• 出 处: 中国数学前沿
• 发表日期: 2020年4期
• 关键词: Completely invariant domain quasi-circle Hausdorff dimension renormalization tra

Considering a family of rational maps Tnλ concerning renormalization transformation,we give a perfect description about the dynamical properties of Tnλ and the topological properties of the Fatou components F(Tnλ).Furthermore,we discuss the continuity of the Hausdorff dimension HD(J(Tnλ)) about real parameter λ.