We show that the class of expansive actions with P.O.T.P. is wider than the class of actions topologically hyperbolic in some direction . Our main tool is an extension of a result by Walters to the multi-dimensional symbolic dynamics case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-8, author = {Piotr Oprocha}, title = {Shadowing in multi-dimensional shift spaces}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {451-460}, zbl = {1142.37016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-8} }
Piotr Oprocha. Shadowing in multi-dimensional shift spaces. Colloquium Mathematicae, Tome 111 (2008) pp. 451-460. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-8/