The Attractor of Fibonacci-like Renormalization Operator

• 作者: Hao Yang JI Si Min LI
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2020,（11）
• 页码范围: 1256-1278
• 页数: 23页
• 语种: 英文

摘要

In this paper we extend the Fibonacci-like maps to a wider class with the so-called"bounded combinatorics". The Fibonacci-like renormalization operator R is defined and we show that the orbit of each map from this class converges to a universal limit under iterates of R.