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Mild mixing property for special flows under piecewise constant functions

K. Fraczek·M. Lemanczyk·E. Lesigne
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Abstract

We give a condition on a piecewise constant roof function and an irrational rotation by $α$ 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.

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K. Fraczek, M. Lemanczyk, E. Lesigne. 2007-03-26. Mild mixing property for special flows under piecewise constant functions. https://arxiv.org/abs/math/0703752

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