Equidistribution and measure rigidity under $\times p,\times q$
Dynamical Systems
2015-06-09 v2
Abstract
We show that equidistribution of irrational orbits on the unit circle implies Furstenberg's conjecture.
Keywords
Cite
@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}
}
Comments
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