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.
Positive entropy actions of countable groups factor onto Bernoulli shifts
Completely positive entropy actions of sofic groups with $\mathbb{Z}$ in their center
Asymptotic pairs, stable sets and chaos in positive entropy systems
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