A+ CATEGORY SCIENTIFIC UNIT

Entropy dimension and variational principle

Volume 199 / 2010

Young-Ho Ahn, Dou Dou, Kyewon Koh Park Studia Mathematica 199 (2010), 295-309 MSC: Primary 37A35; Secondary 37A25. DOI: 10.4064/sm199-3-6

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.

Authors

  • Young-Ho AhnDepartment of Mathematics
    Mokpo National University
    534-729 Mokpo, South Korea
    e-mail
  • Dou DouDepartment of Mathematics
    Nanjing University
    210093 Nanjing, P.R. China
    e-mail
  • Kyewon Koh ParkDepartment of Mathematics
    Ajou University
    442-749 Suwon, South Korea
    e-mail

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