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arXiv · 0704.1006

A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives

Victor Kleptsyn·Andres Navas
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Abstract

We prove that if d is an integer number bigger than 1 and f_1,...,f_d are commuting circle diffeomorphisms respectively of class C^(1+τ_k), where τ_1 + ... + τ_k > 1, then these maps are simultaneously conjugate to rotations provided that their rotation numbers are independent over the rationals.

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Victor Kleptsyn, Andres Navas. 2007-04-08. A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives. https://arxiv.org/abs/0704.1006

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