Mild mixing property for special flows under piecewise constant functions
Krzysztof Frączek - Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland (email)
Abstract: 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.
Keywords: Mild mixing property, measure-preserving flows, special flows.
Received: November 2006; Revised: April 2007; Published: September 2007.
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