Rank one Z^d actions and directional entropy
Dynamical Systems
2008-09-10 v2
Abstract
We study the directional entropy of rank one Z^d actions. We show that if the sequence of towers generating the action are rectangular in shape, then there is always a direction along which the directional entropy is zero. If the rectangles satisfy a "sub-exponential growth" condition, then we show that the directional entropy is zero in every direction.
Cite
@article{arxiv.0809.1626,
title = {Rank one Z^d actions and directional entropy},
author = {E. Arthur Robinson and Ayse A. Sahin},
journal= {arXiv preprint arXiv:0809.1626},
year = {2008}
}