Entropy dimension and variational principle

• Autorzy: Young-Ho Ahn , Dou Dou , Kyewon Koh Park
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 199
• Numer: 3
• Strony: 295-309

Daty

wydano

2010

Twórcy

autor

Young-Ho Ahn

• Department of Mathematics, Mokpo National University, 534-729 Mokpo, South Korea

autor

Dou Dou

• Department of Mathematics, Nanjing University, 210093 Nanjing, P.R. China

autor

Kyewon Koh Park

• Department of Mathematics, Ajou University, 442-749 Suwon, South Korea

Identyfikatory

DOI

10.4064/sm199-3-6