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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2007

Mild mixing property for special flows under piecewise constant functions

Résumé

We give a condition on a piecewise constant roof function and an irrational rotation by $\alpha$ on the circle to give rise to a special flow having the mild mixing property. Such flows will also satisfy Ratner's property. As a consequence we obtain a class of mildly mixing singular flows on the two--torus that arise from quasi-periodic Hamiltonians flows by velocity changes.

Dates et versions

hal-00182087 , version 1 (24-10-2007)

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Krzysztof Fraczek, Mariusz Lemanczyk, Emmanuel Lesigne. Mild mixing property for special flows under piecewise constant functions. Discrete and Continuous Dynamical Systems - Series A, 2007, 19 (4), pp.691-710. ⟨hal-00182087⟩
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