Three remarks on one dimensional bi-Lipschitz conjugacies
classification
🧮 math.DS
math.GR
keywords
bi-lipschitzcaseconjugaciesdimensionalminimalclarifyclassicalergodic
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We show that bi-Lipschitz conjugacies between non singular one dimensional systems are forced to be smooth, at least in the minimal (and ergodic) case. This is however far from being true in the non minimal case. These results clarify a classical work by Ghys and Tsuboi.
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