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Entropy dimension of dynamical systems. (English) Zbl 0965.37021

From the summary: We introduce a new concept called entropy dimension which behaves like a dimension and is devoted to distinguish zero topological entropy systems. It is a dynamical invariant but also reflects geometrical features.

MSC:

37C45 Dimension theory of smooth dynamical systems
37B40 Topological entropy
28D05 Measure-preserving transformations