Topological and metric entropy pairs of ℤ²-actions are defined and their properties are investigated, analogously to ℤ-actions. In particular, mixing properties are studied in connection with entropy pairs.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-3-4,
author = {Kyewon Koh Park and Uijung Lee},
title = {Entropy pairs of $\mathbb{Z}$$^2$ and their directional properties},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {255-274},
zbl = {1057.37004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-3-4}
}
Kyewon Koh Park; Uijung Lee. Entropy pairs of ℤ² and their directional properties. Studia Mathematica, Tome 162 (2004) pp. 255-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-3-4/