Geodesic
Shadowing in multi-dimensional shift spaces
Piotr Oprocha1
1 Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 451-460

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm110-2-8
Keywords: class expansive mathbb actions p wider class actions topologically hyperbolic direction mathbb main tool extension result walters multi dimensional symbolic dynamics

Piotr Oprocha 1

1 Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland 
@article{10_4064_cm110_2_8,
     author = {Piotr Oprocha},
     title = {Shadowing in multi-dimensional shift spaces},
     journal = {Colloquium Mathematicum},
     pages = {451--460},
     publisher = {mathdoc},
     volume = {110},
     number = {2},
     year = {2008},
     doi = {10.4064/cm110-2-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-8/}
}
TY  - JOUR
AU  - Piotr Oprocha
TI  - Shadowing in multi-dimensional shift spaces
JO  - Colloquium Mathematicum
PY  - 2008
SP  - 451
EP  - 460
VL  - 110
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-8/
DO  - 10.4064/cm110-2-8
LA  - en
ID  - 10_4064_cm110_2_8
ER  - 
%0 Journal Article
%A Piotr Oprocha
%T Shadowing in multi-dimensional shift spaces
%J Colloquium Mathematicum
%D 2008
%P 451-460
%V 110
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-8/
%R 10.4064/cm110-2-8
%G en
%F 10_4064_cm110_2_8
Piotr Oprocha. Shadowing in multi-dimensional shift spaces. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 451-460. doi: 10.4064/cm110-2-8

Cité par Sources :