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Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems. (English) Zbl 1224.37011

Summary: We show that for some simple classical chaotic dynamical systems, the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.

MSC:

37C45 Dimension theory of smooth dynamical systems
37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
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