A directional uniformity of periodic point distribution and mixing
Dynamical Systems
2013-05-28 v2 Number Theory
Abstract
For mixing~-actions generated by commuting automorphisms of a compact abelian group, we investigate the directional uniformity of the rate of periodic point distribution and mixing. When each of these automorphisms has finite entropy, it is shown that directional mixing and directional convergence of the uniform measure supported on periodic points to Haar measure occurs at a uniform rate independent of the direction.
Keywords
Cite
@article{arxiv.1001.0390,
title = {A directional uniformity of periodic point distribution and mixing},
author = {R. Miles and T. Ward},
journal= {arXiv preprint arXiv:1001.0390},
year = {2013}
}