Shadowing in multi-dimensional shift spaces

• Autorzy: Piotr Oprocha
• Języki publikacji: EN

Abstrakty

EN

We show that the class of expansive $ℤ^{d}$ actions with P.O.T.P. is wider than the class of actions topologically hyperbolic in some direction $ν ∈ ℤ^{d}$. Our main tool is an extension of a result by Walters to the multi-dimensional symbolic dynamics case.

Kategorie tematyczne

• 37C50: Approximate trajectories (pseudotrajectories, shadowing, etc.)
• 37B50: Multi-dimensional shifts of finite type, tiling dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 451-460

Daty

wydano

2008

Twórcy

autor

Piotr Oprocha

• Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm110-2-8