A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives
Abstract
We prove that if d is an integer number bigger than 1 and f1,...,fd are commuting circle diffeomorphisms respectively of class C(1+τk), where τ1 + ... + τk > 1, then these maps are simultaneously conjugate to rotations provided that their rotation numbers are independent over the rationals.
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