Entropy dimension and variational principle
Volume 199 / 2010
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.
