Weak mixing of maps with bounded cutting parameter
动力系统
2007-05-23 v1
摘要
In the class of Ornstein transformations the mixing property satisfies a 0-1 law. Here we consider Ornstein's construction with bounded cutting parameter. In fact, these latter transformations are not mixing, however it is proved that the weak mixing property occurs with probability one. Our situation is similar to the case of interval exchange transformations whose link with the cutting and stacking construction relies in a dynamical process called Rauzy induction.
引用
@article{arxiv.math/0502273,
title = {Weak mixing of maps with bounded cutting parameter},
author = {El Houcein El Abdalaoui and Arnaldo A. N. Noguiera and Thierry T. D. De Larue},
journal= {arXiv preprint arXiv:math/0502273},
year = {2007}
}
备注
2004