Entropy dimension and variational principle

Young-Ho Ahn, Dou Dou, and Kyewon Koh Park. "Entropy dimension and variational principle." Studia Mathematica 199.3 (2010): 295-309. <http://eudml.org/doc/285733>.

@article{Young2010,
abstract = {Recently the notions of entropy dimension for topological and measurable dynamical systems were introduced in order to study the complexity of zero entropy systems. We exhibit a class of strictly ergodic models whose topological entropy dimensions range from zero to one and whose measure-theoretic entropy dimensions are identically zero. Hence entropy dimension does not obey the variational principle.},
author = {Young-Ho Ahn, Dou Dou, Kyewon Koh Park},
journal = {Studia Mathematica},
keywords = {entropy dimension; variational principle; zero entropy system},
language = {eng},
number = {3},
pages = {295-309},
title = {Entropy dimension and variational principle},
url = {http://eudml.org/doc/285733},
volume = {199},
year = {2010},
}

TY - JOUR
AU - Young-Ho Ahn
AU - Dou Dou
AU - Kyewon Koh Park
TI - Entropy dimension and variational principle
JO - Studia Mathematica
PY - 2010
VL - 199
IS - 3
SP - 295
EP - 309
AB - Recently the notions of entropy dimension for topological and measurable dynamical systems were introduced in order to study the complexity of zero entropy systems. We exhibit a class of strictly ergodic models whose topological entropy dimensions range from zero to one and whose measure-theoretic entropy dimensions are identically zero. Hence entropy dimension does not obey the variational principle.
LA - eng
KW - entropy dimension; variational principle; zero entropy system
UR - http://eudml.org/doc/285733
ER -