Metric attractors for smooth unimodal maps

• 成果类型: Article
• 署名作者: Graczyk, J; Sands, D; Swiatek, G
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2004.159.725
• 发表日期: 2004
• 页码: 725-740
• 关键词: one-dimensional dynamics; invariant-measures; HYPERBOLICITY

摘要

We classify the measure theoretic attractors of general C-3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.