Graph maps with zero topological entropy and sequence entropy pairs
Dynamical Systems
2021-09-14 v1
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 -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.
Keywords
Cite
@article{arxiv.2108.06724,
title = {Graph maps with zero topological entropy and sequence entropy pairs},
author = {Jian Li and Xianjuan Liang and Piotr Oprocha},
journal= {arXiv preprint arXiv:2108.06724},
year = {2021}
}
Comments
14 pages. Published online in Proc. Amer. Math. Soc