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

Fayad, Bassam R.

Ergodic Theory Dyn. Syst. 22, No. 2, 437-468 (2002).

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