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

Wen Huang; Lei Jin

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arXiv · 1504.02572

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

Wen Huang·Lei Jin

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Abstract

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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Wen Huang, Lei Jin. 2015-04-10. Stable sets and mean Li-Yorke chaos in positive entropy actions of bi-orderable amenable groups. https://arxiv.org/abs/1504.02572

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