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arXiv · 2108.06724

Graph maps with zero topological entropy and sequence entropy pairs

Jian Li·Xianjuan Liang·Piotr Oprocha
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Abstract

We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal $\omega$-limit set), and a non-diagonal pair is an NS-pair if and only if it is an IN-pair if and only if it is an IT-pair. This completes characterization of zero topological sequence entropy for graph maps.

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Jian Li, Xianjuan Liang, Piotr Oprocha. 2021-08-15. Graph maps with zero topological entropy and sequence entropy pairs. https://doi.org/10.1090/proc%2F15578

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