A+ CATEGORY SCIENTIFIC UNIT

Shadowing in multi-dimensional shift spaces

Volume 110 / 2008

Piotr Oprocha 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.

Authors

  • Piotr OprochaFaculty of Applied Mathematics
    AGH University of Science and Technology
    Al. Mickiewicza 30
    30-059 Kraków, Poland
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image