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math.DS2008
On the question of ergodicity for minimal group actions on the circle
Bertrand Deroin, Victor Kleptsyn, Andrés Navas
This work is devoted to the study of minimal, smooth actions of finitely generated groups on the circle. We provide a sufficient condition for such an action to be ergodic (with re…
math.DS2007
A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives
Victor Kleptsyn, Andres Navas
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 ma…