## Analytic mixing reparametrizations of irrational flows.(English)Zbl 1136.37307

Summary: We give an example of a strictly positive analytic reparametrization (or time change) of an irrational flow on $$\mathbb T^3$$ that is mixing. As an immediate application we obtain perturbations of completely integrable Hamiltonian systems that display many invariant tori on which the restricted dynamics is mixing.

### MSC:

 37A25 Ergodicity, mixing, rates of mixing 37A05 Dynamical aspects of measure-preserving transformations
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