Shadowing in multi-dimensional shift spaces

Piotr Oprocha. "Shadowing in multi-dimensional shift spaces." Colloquium Mathematicae 110.2 (2008): 451-460. <http://eudml.org/doc/283474>.

@article{PiotrOprocha2008,
abstract = {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.},
author = {Piotr Oprocha},
journal = {Colloquium Mathematicae},
keywords = {group action; multidimensional shift space; shift of finite type; pseudo-orbit tracing property},
language = {eng},
number = {2},
pages = {451-460},
title = {Shadowing in multi-dimensional shift spaces},
url = {http://eudml.org/doc/283474},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Piotr Oprocha
TI - Shadowing in multi-dimensional shift spaces
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 451
EP - 460
AB - 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.
LA - eng
KW - group action; multidimensional shift space; shift of finite type; pseudo-orbit tracing property
UR - http://eudml.org/doc/283474
ER -