一个奇异的 \(C^1\) 类的当茹瓦示例
An exotic Denjoy example of class $C^1$
AI总结：
构造圆的 \(C^1\) 微分同胚，其具有不变康托极小集，当其余集连通分支长度递减排列时，连续长度比值不收敛到1，否定了杜萨·麦克杜夫的长期问题。
AI中文摘要：
我们构造了一个圆的 \(C^1\) 微分同胚，它有一个不变康托极小集。当其余集的连通分支长度按递减顺序排列时，连续长度的比值不收敛到1。这为杜萨·麦克杜夫提出的一个长期问题给出了否定答案。
英文摘要：
We construct a $C^1$-diffeomorphism of the circle having an invariant Cantor minimal set such that, when the lengths of the connected components of its complement are arranged in decreasing order, the ratios of consecutive lengths do not converge to 1. This gives a negative answer to a longstanding question posed by Dusa McDuff.
