Geodesic
Entropy dimension and variational principle
Young-Ho Ahn 1   ; Dou Dou 2   ; Kyewon Koh Park 3
1 Department of Mathematics Mokpo National University 534-729 Mokpo, South Korea
2 Department of Mathematics Nanjing University 210093 Nanjing, P.R. China
3 Department of Mathematics Ajou University 442-749 Suwon, South Korea
Studia Mathematica, Tome 199 (2010) no. 3, pp. 295-309 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm199-3-6
Keywords: recently notions entropy dimension topological measurable dynamical systems introduced order study complexity zero entropy systems exhibit class strictly ergodic models whose topological entropy dimensions range zero whose measure theoretic entropy dimensions identically zero hence entropy dimension does obey variational principle

Young-Ho Ahn  1   ; Dou Dou  2   ; Kyewon Koh Park  3

1 Department of Mathematics Mokpo National University 534-729 Mokpo, South Korea
2 Department of Mathematics Nanjing University 210093 Nanjing, P.R. China
3 Department of Mathematics Ajou University 442-749 Suwon, South Korea 
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Young-Ho Ahn; Dou Dou; Kyewon Koh Park. Entropy dimension and variational principle. Studia Mathematica, Tome 199 (2010) no. 3, pp. 295-309. doi: 10.4064/sm199-3-6

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