Mild mixing property for special flows under piecewise constant functions

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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.
Accepted for publication in Discrete Contin. Dyn. Syst

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Dynamical Systems, 37A10, 37C40, 37E35

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http://salesiana.dossiersoluciones.com/handle/123456789/215443

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703752
 http://arxiv.org/abs/math/0703752

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arXiv