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2008 International Workshop on Dynamical System and Realted Topics
(2008 / vol.10 / no.2)
Entropy dimension and variational principle
Young-Ho Ahn, Dou Dou, Kyewon Koh Park
Pages. 163-165   



Recently the notions of entropy dimension for topological dynamical
system and measure theoretical dynamical system were introduced
respectively. In this paper, we give a class of strictly ergodic
models of which the topological entropy dimension ranges from zero
to one and of which the measure theoretical entropy dimension is
identically zero. Hence the variational principle on entropy
dimension does not hold.



1. Introduction



37B99, 54H20