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arXiv · 1409.0275

Asymptotic pairs, stable sets and chaos in positive entropy systems

Wen Huang·Leiye Xu·Yingfei Yi
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Abstract

We consider positive entropy $G$-systems for certain countable, discrete, infinite left-orderable amenable groups $G$. By undertaking local analysis, the existence of asymptotic pairs and chaotic sets will be studied in connecting with the stable sets. Examples are given for the case of integer lattice groups, the Heisenberg group, and the groups of integral unipotent upper triangular matrices.

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Wen Huang, Leiye Xu, Yingfei Yi. 2014-09-01. Asymptotic pairs, stable sets and chaos in positive entropy systems. https://arxiv.org/abs/1409.0275

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