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arXiv · 2607.11748

Denjoy examples of class $C^1$ with affine dynamics outside the invariant Cantor set

Victor Kleptsyn·Andrés Navas
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Abstract

Given any irrational number, we construct a Denjoy example of class $C^1$ with this rotation number, that is exactly affine on each interval of the complement to the exceptional minimal set.

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Victor Kleptsyn, Andrés Navas. 2026-07-13. Denjoy examples of class $C^1$ with affine dynamics outside the invariant Cantor set. https://arxiv.org/abs/2607.11748

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