Mild mixing property for special flows under piecewise constant functions
动力系统
2009-01-13 v1
摘要
We give a condition on a piecewise constant roof function and an irrational rotation by 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.
关键词
引用
@article{arxiv.math/0703752,
title = {Mild mixing property for special flows under piecewise constant functions},
author = {K. Fraczek and M. Lemanczyk and E. Lesigne},
journal= {arXiv preprint arXiv:math/0703752},
year = {2009}
}
备注
Accepted for publication in Discrete Contin. Dyn. Syst