Shadowing in multi-dimensional shift spaces
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 451-460
MSC: Primary 37B50; Secondary 37C50.
DOI: 10.4064/cm110-2-8
Abstract
We show that the class of expansive ${\mathbb Z}^d$ actions with P.O.T.P. is wider than the class of actions topologically hyperbolic in some direction $\nu\in {\mathbb Z}^d$. Our main tool is an extension of a result by Walters to the multi-dimensional symbolic dynamics case.
