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arXiv:2108.06724 [math.DS]AbstractReferencesReviewsResources

Graph maps with zero topological entropy and sequence entropy pairs

Jian Li, Xianjuan Liang, Piotr Oprocha

Published 2021-08-15Version 1

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.

Comments: 14 pages. Published online in Proc. Amer. Math. Soc
Categories: math.DS
Subjects: 37E10, 37B40, 54H15
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