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arxiv: 1504.02572 · v1 · pith:MAJU2JNWnew · submitted 2015-04-10 · 🧮 math.DS

Stable sets and mean Li-Yorke chaos in positive entropy actions of bi-orderable amenable groups

classification 🧮 math.DS
keywords groupsamenablebi-orderablechaosentropyintegerli-yorkemean
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It is proved that positive entropy implies mean Li-Yorke chaos for a G-system, where G is a countable infinite discrete bi-orderable amenable group. Examples are given for the cases of integer lattice groups and groups of integer unipotent upper triangular matrices.

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