×

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
PDF BibTeX XML Cite
Full Text: DOI