Rigidity for real polynomials

• 成果类型: Article
• 署名作者: Kozlovski, O.; Shen, W.; Van Strien, S.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2007.165.749
• 发表日期: 2007
• 页码: 749-841
• 关键词: quadratic polynomials; cubic polynomials; unimodal maps; DYNAMICS; bounds; HYPERBOLICITY; attractors; Iteration; interval; SPACE

摘要

We prove the topological (or combinatorial) rigidity property for real polynomials with all critical points real and nondegenerate, which completes the last step in solving the density of Axiom A conjecture in real one-dimensional dynamics.