$\times p,\times q$作用下的等分布与测度刚性
动力系统
2015-06-09 v2
摘要
我们证明了单位圆上无理轨道的等分布性蕴含 Furstenberg 猜想。
引用
@article{arxiv.1411.4522,
title = {Equidistribution and measure rigidity under $\times p,\times q$},
author = {Huichi Huang},
journal= {arXiv preprint arXiv:1411.4522},
year = {2015}
}
备注
According to some comments, not every irrational point is equidistributed. But the main theorem of the paper is true. An updated version with more results and a different title will be uploaded in the future