The periodic points of renormalization

• 成果类型: Article
• 署名作者: Martens, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/120959
• 发表日期: 1998
• 页码: 543-584
• 关键词: feigenbaum

摘要

It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent alpha > 1, has periodic points of any combinatorial type.